TSTP Solution File: ITP341_10 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP341_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 22 15:36:55 EDT 2023
% Result : Satisfiable 18.66s 2.77s
% Output : FiniteModel 19.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP341_10 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 22 12:16:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (31938)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (31918)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (31930)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (31933)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (31922)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (31924)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.23/0.52 % (31915)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.23/0.52 % (31920)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.23/0.52 % (31918)Instruction limit reached!
% 1.23/0.52 % (31918)------------------------------
% 1.23/0.52 % (31918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52 % (31917)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.23/0.52 % (31919)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.23/0.53 % (31916)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.23/0.53 % (31935)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.23/0.53 % (31918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.53 % (31918)Termination reason: Unknown
% 1.23/0.53 % (31918)Termination phase: Preprocessing 1
% 1.23/0.53
% 1.23/0.53 % (31918)Memory used [KB]: 1279
% 1.23/0.53 % (31918)Time elapsed: 0.004 s
% 1.23/0.53 % (31918)Instructions burned: 2 (million)
% 1.23/0.53 % (31918)------------------------------
% 1.23/0.53 % (31918)------------------------------
% 1.23/0.53 % (31926)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.54 % (31912)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.37/0.54 % (31939)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.37/0.54 % (31911)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.54 % (31913)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54 % (31910)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.37/0.55 % (31917)Instruction limit reached!
% 1.37/0.55 % (31917)------------------------------
% 1.37/0.55 % (31917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (31917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (31917)Termination reason: Unknown
% 1.37/0.55 % (31917)Termination phase: Preprocessing 3
% 1.37/0.55
% 1.37/0.55 % (31917)Memory used [KB]: 1535
% 1.37/0.55 % (31917)Time elapsed: 0.005 s
% 1.37/0.55 % (31917)Instructions burned: 7 (million)
% 1.37/0.55 % (31917)------------------------------
% 1.37/0.55 % (31917)------------------------------
% 1.37/0.55 % (31929)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.55 % (31932)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.37/0.55 % (31931)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.37/0.55 % (31936)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.37/0.55 % (31937)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.37/0.56 % (31914)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.56 % (31925)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.37/0.56 % (31934)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.37/0.56 % (31923)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.56 % (31928)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.57 % (31921)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.58 % (31927)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.37/0.60 % (31915)Instruction limit reached!
% 1.37/0.60 % (31915)------------------------------
% 1.37/0.60 % (31915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.60 % (31915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.60 % (31915)Termination reason: Unknown
% 1.37/0.60 % (31915)Termination phase: Saturation
% 1.37/0.60
% 1.37/0.60 % (31915)Memory used [KB]: 6780
% 1.37/0.60 % (31915)Time elapsed: 0.194 s
% 1.37/0.60 % (31915)Instructions burned: 48 (million)
% 1.37/0.60 % (31915)------------------------------
% 1.37/0.60 % (31915)------------------------------
% 1.37/0.61 % (31912)Instruction limit reached!
% 1.37/0.61 % (31912)------------------------------
% 1.37/0.61 % (31912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.61 % (31912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.61 % (31912)Termination reason: Unknown
% 1.37/0.61 % (31912)Termination phase: Saturation
% 1.37/0.61
% 1.37/0.61 % (31912)Memory used [KB]: 2046
% 1.37/0.61 % (31912)Time elapsed: 0.020 s
% 1.37/0.61 % (31912)Instructions burned: 37 (million)
% 1.37/0.61 % (31912)------------------------------
% 1.37/0.61 % (31912)------------------------------
% 1.37/0.62 % (31919)Instruction limit reached!
% 1.37/0.62 % (31919)------------------------------
% 1.37/0.62 % (31919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.62 % (31919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.62 % (31919)Termination reason: Unknown
% 1.37/0.62 % (31919)Termination phase: Saturation
% 1.37/0.62
% 1.37/0.62 % (31919)Memory used [KB]: 2430
% 1.37/0.62 % (31919)Time elapsed: 0.209 s
% 1.37/0.62 % (31919)Instructions burned: 51 (million)
% 1.37/0.62 % (31919)------------------------------
% 1.37/0.62 % (31919)------------------------------
% 1.37/0.62 % (31913)Instruction limit reached!
% 1.37/0.62 % (31913)------------------------------
% 1.37/0.62 % (31913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.62 % (31913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.62 % (31913)Termination reason: Unknown
% 1.37/0.62 % (31913)Termination phase: Saturation
% 1.37/0.62
% 1.37/0.62 % (31913)Memory used [KB]: 6780
% 1.37/0.62 % (31913)Time elapsed: 0.213 s
% 1.37/0.62 % (31913)Instructions burned: 52 (million)
% 1.37/0.62 % (31913)------------------------------
% 1.37/0.62 % (31913)------------------------------
% 1.37/0.62 % (31916)Instruction limit reached!
% 1.37/0.62 % (31916)------------------------------
% 1.37/0.62 % (31916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.62 % (31916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.62 % (31916)Termination reason: Unknown
% 1.37/0.62 % (31916)Termination phase: Finite model building preprocessing
% 1.37/0.62
% 1.37/0.62 % (31916)Memory used [KB]: 2814
% 1.37/0.62 % (31916)Time elapsed: 0.026 s
% 1.37/0.62 % (31916)Instructions burned: 53 (million)
% 1.37/0.62 % (31916)------------------------------
% 1.37/0.62 % (31916)------------------------------
% 1.37/0.63 % (31911)Instruction limit reached!
% 1.37/0.63 % (31911)------------------------------
% 1.37/0.63 % (31911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.63 % (31911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.63 % (31911)Termination reason: Unknown
% 1.37/0.63 % (31911)Termination phase: Saturation
% 1.37/0.63
% 1.37/0.63 % (31911)Memory used [KB]: 6908
% 1.37/0.63 % (31911)Time elapsed: 0.212 s
% 1.37/0.63 % (31911)Instructions burned: 52 (million)
% 1.37/0.63 % (31911)------------------------------
% 1.37/0.63 % (31911)------------------------------
% 2.05/0.63 % (31920)Instruction limit reached!
% 2.05/0.63 % (31920)------------------------------
% 2.05/0.63 % (31920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (31920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (31920)Termination reason: Unknown
% 2.05/0.63 % (31920)Termination phase: Saturation
% 2.05/0.63
% 2.05/0.63 % (31920)Memory used [KB]: 6780
% 2.05/0.63 % (31920)Time elapsed: 0.199 s
% 2.05/0.63 % (31920)Instructions burned: 50 (million)
% 2.05/0.63 % (31920)------------------------------
% 2.05/0.63 % (31920)------------------------------
% 2.05/0.65 % (31914)Instruction limit reached!
% 2.05/0.65 % (31914)------------------------------
% 2.05/0.65 % (31914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.65 % (31914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.65 % (31914)Termination reason: Unknown
% 2.05/0.65 % (31914)Termination phase: Saturation
% 2.05/0.65
% 2.05/0.65 % (31914)Memory used [KB]: 6780
% 2.05/0.65 % (31914)Time elapsed: 0.212 s
% 2.05/0.65 % (31914)Instructions burned: 52 (million)
% 2.05/0.65 % (31914)------------------------------
% 2.05/0.65 % (31914)------------------------------
% 2.05/0.66 % (31924)Instruction limit reached!
% 2.05/0.66 % (31924)------------------------------
% 2.05/0.66 % (31924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.66 % (31924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.66 % (31924)Termination reason: Unknown
% 2.05/0.66 % (31924)Termination phase: Saturation
% 2.05/0.66
% 2.05/0.66 % (31924)Memory used [KB]: 8059
% 2.05/0.66 % (31924)Time elapsed: 0.041 s
% 2.05/0.66 % (31924)Instructions burned: 69 (million)
% 2.05/0.66 % (31924)------------------------------
% 2.05/0.66 % (31924)------------------------------
% 2.05/0.67 % (31925)Instruction limit reached!
% 2.05/0.67 % (31925)------------------------------
% 2.05/0.67 % (31925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.67 % (31925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.67 % (31925)Termination reason: Unknown
% 2.05/0.67 % (31925)Termination phase: Saturation
% 2.05/0.67
% 2.05/0.67 % (31925)Memory used [KB]: 2686
% 2.05/0.67 % (31925)Time elapsed: 0.259 s
% 2.05/0.67 % (31925)Instructions burned: 75 (million)
% 2.05/0.67 % (31925)------------------------------
% 2.05/0.67 % (31925)------------------------------
% 2.05/0.67 % (31926)Instruction limit reached!
% 2.05/0.67 % (31926)------------------------------
% 2.05/0.67 % (31926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.67 % (31940)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.05/0.68 % (31922)Instruction limit reached!
% 2.05/0.68 % (31922)------------------------------
% 2.05/0.68 % (31922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.68 % (31922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.68 % (31922)Termination reason: Unknown
% 2.05/0.68 % (31922)Termination phase: Saturation
% 2.05/0.68
% 2.05/0.68 % (31922)Memory used [KB]: 7419
% 2.05/0.68 % (31922)Time elapsed: 0.273 s
% 2.05/0.68 % (31922)Instructions burned: 102 (million)
% 2.05/0.68 % (31922)------------------------------
% 2.05/0.68 % (31922)------------------------------
% 2.05/0.68 % (31926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.68 % (31926)Termination reason: Unknown
% 2.05/0.68 % (31926)Termination phase: Saturation
% 2.05/0.68
% 2.05/0.68 % (31926)Memory used [KB]: 7036
% 2.05/0.68 % (31926)Time elapsed: 0.250 s
% 2.05/0.68 % (31926)Instructions burned: 99 (million)
% 2.05/0.68 % (31926)------------------------------
% 2.05/0.68 % (31926)------------------------------
% 2.05/0.68 % (31936)Instruction limit reached!
% 2.05/0.68 % (31936)------------------------------
% 2.05/0.68 % (31936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.68 % (31936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.68 % (31936)Termination reason: Unknown
% 2.05/0.68 % (31936)Termination phase: Saturation
% 2.05/0.68
% 2.05/0.68 % (31936)Memory used [KB]: 7931
% 2.05/0.68 % (31936)Time elapsed: 0.038 s
% 2.05/0.68 % (31936)Instructions burned: 69 (million)
% 2.05/0.68 % (31936)------------------------------
% 2.05/0.68 % (31936)------------------------------
% 2.05/0.69 % (31927)Instruction limit reached!
% 2.05/0.69 % (31927)------------------------------
% 2.05/0.69 % (31927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.69 % (31927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.69 % (31927)Termination reason: Unknown
% 2.05/0.69 % (31927)Termination phase: Finite model building preprocessing
% 2.05/0.69
% 2.05/0.69 % (31927)Memory used [KB]: 3070
% 2.05/0.69 % (31927)Time elapsed: 0.028 s
% 2.05/0.69 % (31927)Instructions burned: 61 (million)
% 2.05/0.69 % (31927)------------------------------
% 2.05/0.69 % (31927)------------------------------
% 2.47/0.70 % (31941)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.47/0.71 % (31928)Instruction limit reached!
% 2.47/0.71 % (31928)------------------------------
% 2.47/0.71 % (31928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.71 % (31928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.71 % (31928)Termination reason: Unknown
% 2.47/0.71 % (31928)Termination phase: Saturation
% 2.47/0.71
% 2.47/0.71 % (31928)Memory used [KB]: 7547
% 2.47/0.71 % (31928)Time elapsed: 0.297 s
% 2.47/0.71 % (31928)Instructions burned: 101 (million)
% 2.47/0.71 % (31928)------------------------------
% 2.47/0.71 % (31928)------------------------------
% 2.47/0.72 % (31923)Instruction limit reached!
% 2.47/0.72 % (31923)------------------------------
% 2.47/0.72 % (31923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72 % (31923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72 % (31923)Termination reason: Unknown
% 2.47/0.72 % (31923)Termination phase: Saturation
% 2.47/0.72
% 2.47/0.72 % (31923)Memory used [KB]: 7291
% 2.47/0.72 % (31923)Time elapsed: 0.317 s
% 2.47/0.72 % (31923)Instructions burned: 100 (million)
% 2.47/0.72 % (31923)------------------------------
% 2.47/0.72 % (31923)------------------------------
% 2.47/0.74 % (31942)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.47/0.74 % (31929)Instruction limit reached!
% 2.47/0.74 % (31929)------------------------------
% 2.47/0.74 % (31929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.74 % (31929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.74 % (31929)Termination reason: Unknown
% 2.47/0.74 % (31929)Termination phase: Saturation
% 2.47/0.74
% 2.47/0.74 % (31929)Memory used [KB]: 3070
% 2.47/0.74 % (31929)Time elapsed: 0.307 s
% 2.47/0.74 % (31929)Instructions burned: 101 (million)
% 2.47/0.74 % (31929)------------------------------
% 2.47/0.74 % (31929)------------------------------
% 2.47/0.74 % (31921)Instruction limit reached!
% 2.47/0.74 % (31921)------------------------------
% 2.47/0.74 % (31921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.74 % (31921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.74 % (31921)Termination reason: Unknown
% 2.47/0.74 % (31921)Termination phase: Saturation
% 2.47/0.74
% 2.47/0.74 % (31921)Memory used [KB]: 7547
% 2.47/0.74 % (31921)Time elapsed: 0.320 s
% 2.47/0.74 % (31921)Instructions burned: 100 (million)
% 2.47/0.74 % (31921)------------------------------
% 2.47/0.74 % (31921)------------------------------
% 2.47/0.75 % (31948)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.47/0.75 % (31943)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.47/0.75 % (31944)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.73/0.76 % (31945)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.73/0.76 % (31947)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.73/0.77 % (31946)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.77/0.78 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.77/0.78 % (31949)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.77/0.79 % (31950)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.77/0.79 % (31931)Instruction limit reached!
% 2.77/0.79 % (31931)------------------------------
% 2.77/0.79 % (31931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.79 % (31931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.79 % (31931)Termination reason: Unknown
% 2.77/0.79 % (31931)Termination phase: Saturation
% 2.77/0.79
% 2.77/0.79 % (31931)Memory used [KB]: 8059
% 2.77/0.79 % (31931)Time elapsed: 0.348 s
% 2.77/0.79 % (31931)Instructions burned: 139 (million)
% 2.77/0.79 % (31931)------------------------------
% 2.77/0.79 % (31931)------------------------------
% 2.77/0.80 % (31930)Instruction limit reached!
% 2.77/0.80 % (31930)------------------------------
% 2.77/0.80 % (31930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.80 % (31930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.80 % (31930)Termination reason: Unknown
% 2.77/0.80 % (31930)Termination phase: Saturation
% 2.77/0.80
% 2.77/0.80 % (31930)Memory used [KB]: 8443
% 2.77/0.80 % (31930)Time elapsed: 0.379 s
% 2.77/0.80 % (31930)Instructions burned: 177 (million)
% 2.77/0.80 % (31930)------------------------------
% 2.77/0.80 % (31930)------------------------------
% 2.77/0.80 % (31951)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.88/0.81 % (31952)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.88/0.81 % (31953)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.94/0.84 % (31937)Instruction limit reached!
% 2.94/0.84 % (31937)------------------------------
% 2.94/0.84 % (31937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.84 % (31937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.84 % (31937)Termination reason: Unknown
% 2.94/0.84 % (31937)Termination phase: Saturation
% 2.94/0.84
% 2.94/0.84 % (31937)Memory used [KB]: 4093
% 2.94/0.84 % (31937)Time elapsed: 0.422 s
% 2.94/0.84 % (31937)Instructions burned: 178 (million)
% 2.94/0.84 % (31937)------------------------------
% 2.94/0.84 % (31937)------------------------------
% 2.94/0.84 % (31954)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.94/0.84 % (31956)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.94/0.84 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,2]
% 2.94/0.84 TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 2.94/0.85 TRYING [1,1,1,1,1,1,1,1,1,1,2]
% 2.94/0.85 TRYING [1,1,1,1,1,1,2,1,1,1,2]
% 2.94/0.85 % (31957)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.94/0.85 % (31947)Instruction limit reached!
% 2.94/0.85 % (31947)------------------------------
% 2.94/0.85 % (31947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.85 % (31947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.85 % (31947)Termination reason: Unknown
% 2.94/0.85 % (31947)Termination phase: Saturation
% 2.94/0.85
% 2.94/0.85 % (31947)Memory used [KB]: 7931
% 2.94/0.85 % (31955)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.94/0.85 % (31947)Time elapsed: 0.091 s
% 2.94/0.85 % (31947)Instructions burned: 68 (million)
% 2.94/0.85 % (31947)------------------------------
% 2.94/0.85 % (31947)------------------------------
% 2.94/0.88 TRYING [1,1,1,1,2,1,2,1,1,1,2]
% 2.94/0.90 % (31942)Instruction limit reached!
% 2.94/0.90 % (31942)------------------------------
% 2.94/0.90 % (31942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.90 % (31942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.90 % (31942)Termination reason: Unknown
% 2.94/0.90 % (31942)Termination phase: Saturation
% 2.94/0.90
% 2.94/0.90 % (31942)Memory used [KB]: 7291
% 2.94/0.90 % (31942)Time elapsed: 0.268 s
% 2.94/0.90 % (31942)Instructions burned: 90 (million)
% 2.94/0.90 % (31942)------------------------------
% 2.94/0.90 % (31942)------------------------------
% 2.94/0.91 % (31959)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.94/0.92 % (31958)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.94/0.92 TRYING [1,1,2,1,2,1,2,1,1,1,2]
% 3.33/0.93 % (31961)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.33/0.93 % (31960)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.33/0.95 % (31950)Instruction limit reached!
% 3.33/0.95 % (31950)------------------------------
% 3.33/0.95 % (31950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.33/0.95 % (31950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.33/0.95 % (31950)Termination reason: Unknown
% 3.33/0.95 % (31950)Termination phase: Saturation
% 3.33/0.95
% 3.33/0.95 % (31950)Memory used [KB]: 7291
% 3.33/0.95 % (31950)Time elapsed: 0.233 s
% 3.33/0.95 % (31950)Instructions burned: 90 (million)
% 3.33/0.95 % (31950)------------------------------
% 3.33/0.95 % (31950)------------------------------
% 3.33/0.96 % (31957)Instruction limit reached!
% 3.33/0.96 % (31957)------------------------------
% 3.33/0.96 % (31957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.33/0.96 % (31957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.33/0.96 % (31957)Termination reason: Unknown
% 3.33/0.96 % (31957)Termination phase: Saturation
% 3.33/0.96
% 3.33/0.96 % (31957)Memory used [KB]: 7931
% 3.33/0.96 % (31957)Time elapsed: 0.034 s
% 3.33/0.96 % (31957)Instructions burned: 70 (million)
% 3.33/0.96 % (31957)------------------------------
% 3.33/0.96 % (31957)------------------------------
% 3.33/0.98 % (31962)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.33/0.98 TRYING [2,1,2,1,2,1,2,1,1,1,2]
% 3.33/0.98 % (31963)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.57/1.04 % (31964)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.57/1.06 % (31941)Instruction limit reached!
% 3.57/1.06 % (31941)------------------------------
% 3.57/1.06 % (31941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/1.06 % (31941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/1.06 % (31941)Termination reason: Unknown
% 3.57/1.06 % (31941)Termination phase: Saturation
% 3.57/1.06
% 3.74/1.06 % (31941)Memory used [KB]: 4477
% 3.74/1.06 % (31941)Time elapsed: 0.458 s
% 3.74/1.06 % (31941)Instructions burned: 213 (million)
% 3.74/1.06 % (31941)------------------------------
% 3.74/1.06 % (31941)------------------------------
% 5.65/1.09 % (31965)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.65/1.09 % (31966)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.97/1.13 TRYING [3,1,2,1,2,1,2,1,1,1,2]
% 5.97/1.14 % (31962)Instruction limit reached!
% 5.97/1.14 % (31962)------------------------------
% 5.97/1.14 % (31962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.97/1.14 % (31962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.97/1.14 % (31962)Termination reason: Unknown
% 5.97/1.14 % (31962)Termination phase: Saturation
% 5.97/1.14
% 5.97/1.14 % (31962)Memory used [KB]: 7291
% 5.97/1.14 % (31962)Time elapsed: 0.272 s
% 5.97/1.14 % (31962)Instructions burned: 91 (million)
% 5.97/1.14 % (31962)------------------------------
% 5.97/1.14 % (31962)------------------------------
% 6.14/1.17 % (31939)Instruction limit reached!
% 6.14/1.17 % (31939)------------------------------
% 6.14/1.17 % (31939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.17 % (31939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.17 % (31939)Termination reason: Unknown
% 6.14/1.17 % (31939)Termination phase: Saturation
% 6.14/1.17
% 6.14/1.17 % (31939)Memory used [KB]: 10874
% 6.14/1.17 % (31939)Time elapsed: 0.765 s
% 6.14/1.17 % (31939)Instructions burned: 356 (million)
% 6.14/1.17 % (31939)------------------------------
% 6.14/1.17 % (31939)------------------------------
% 6.14/1.19 % (31940)Instruction limit reached!
% 6.14/1.19 % (31940)------------------------------
% 6.14/1.19 % (31940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.19 % (31940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.19 % (31940)Termination reason: Unknown
% 6.14/1.19 % (31940)Termination phase: Saturation
% 6.14/1.19
% 6.14/1.19 % (31940)Memory used [KB]: 8315
% 6.14/1.19 % (31940)Time elapsed: 0.567 s
% 6.14/1.19 % (31940)Instructions burned: 388 (million)
% 6.14/1.19 % (31940)------------------------------
% 6.14/1.19 % (31940)------------------------------
% 6.14/1.21 % (31935)Instruction limit reached!
% 6.14/1.21 % (31935)------------------------------
% 6.14/1.21 % (31935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.14/1.21 % (31935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.14/1.21 % (31935)Termination reason: Unknown
% 6.14/1.21 % (31935)Termination phase: Saturation
% 6.14/1.21
% 6.14/1.21 % (31935)Memory used [KB]: 11769
% 6.14/1.21 % (31935)Time elapsed: 0.777 s
% 6.14/1.21 % (31935)Instructions burned: 500 (million)
% 6.14/1.21 % (31935)------------------------------
% 6.14/1.21 % (31935)------------------------------
% 6.14/1.22 % (31967)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.79/1.27 % (31938)Instruction limit reached!
% 6.79/1.27 % (31938)------------------------------
% 6.79/1.27 % (31938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.27 % (31938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.27 % (31938)Termination reason: Unknown
% 6.79/1.27 % (31938)Termination phase: Saturation
% 6.79/1.27
% 6.79/1.27 % (31938)Memory used [KB]: 12281
% 6.79/1.27 % (31938)Time elapsed: 0.862 s
% 6.79/1.27 % (31938)Instructions burned: 440 (million)
% 6.79/1.27 % (31938)------------------------------
% 6.79/1.27 % (31938)------------------------------
% 7.18/1.28 % (31968)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.18/1.31 % (31969)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.18/1.34 % (31932)Instruction limit reached!
% 7.18/1.34 % (31932)------------------------------
% 7.18/1.34 % (31932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.18/1.34 % (31932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.18/1.34 % (31932)Termination reason: Unknown
% 7.18/1.34 % (31932)Termination phase: Saturation
% 7.18/1.34
% 7.18/1.34 % (31932)Memory used [KB]: 6268
% 7.18/1.34 % (31932)Time elapsed: 0.921 s
% 7.18/1.34 % (31932)Instructions burned: 498 (million)
% 7.18/1.34 % (31932)------------------------------
% 7.18/1.34 % (31932)------------------------------
% 7.18/1.35 % (31971)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.67/1.36 % (31933)Instruction limit reached!
% 7.67/1.36 % (31933)------------------------------
% 7.67/1.36 % (31933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.36 % (31933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.36 % (31933)Termination reason: Unknown
% 7.67/1.36 % (31933)Termination phase: Saturation
% 7.67/1.36
% 7.67/1.36 % (31933)Memory used [KB]: 12665
% 7.67/1.36 % (31933)Time elapsed: 0.898 s
% 7.67/1.36 % (31933)Instructions burned: 467 (million)
% 7.67/1.36 % (31933)------------------------------
% 7.67/1.36 % (31933)------------------------------
% 7.67/1.36 % (31970)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.78/1.41 % (31972)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 8.10/1.43 TRYING [2,1,2,1,2,1,2,1,1,2,2]
% 8.26/1.49 % (31973)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 8.26/1.49 % (31974)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 8.26/1.51 % (31971)Instruction limit reached!
% 8.26/1.51 % (31971)------------------------------
% 8.26/1.51 % (31971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.26/1.51 % (31971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.26/1.51 % (31971)Termination reason: Unknown
% 8.26/1.51 % (31971)Termination phase: Saturation
% 8.26/1.51
% 8.26/1.51 % (31971)Memory used [KB]: 7291
% 8.26/1.51 % (31971)Time elapsed: 0.267 s
% 8.26/1.51 % (31971)Instructions burned: 91 (million)
% 8.26/1.51 % (31971)------------------------------
% 8.26/1.51 % (31971)------------------------------
% 8.26/1.53 % (31934)Instruction limit reached!
% 8.26/1.53 % (31934)------------------------------
% 8.26/1.53 % (31934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.26/1.53 % (31934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.26/1.53 % (31934)Termination reason: Unknown
% 8.26/1.53 % (31934)Termination phase: Saturation
% 8.26/1.53
% 8.26/1.53 % (31934)Memory used [KB]: 11385
% 8.26/1.53 % (31934)Time elapsed: 1.098 s
% 8.26/1.53 % (31934)Instructions burned: 482 (million)
% 8.26/1.53 % (31934)------------------------------
% 8.26/1.53 % (31934)------------------------------
% 8.84/1.54 TRYING [3,1,2,1,2,1,2,1,1,2,2]
% 9.19/1.64 % (31975)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 10.38/1.68 % (31976)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/37001Mi)
% 11.48/1.87 TRYING [2,1,2,1,2,1,3,1,1,2,2]
% 11.89/1.91 % (31946)Instruction limit reached!
% 11.89/1.91 % (31946)------------------------------
% 11.89/1.91 % (31946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.89/1.91 % (31946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.89/1.91 % (31946)Termination reason: Unknown
% 11.89/1.91 % (31946)Termination phase: Saturation
% 11.89/1.91
% 11.89/1.91 % (31946)Memory used [KB]: 7291
% 11.89/1.91 % (31946)Time elapsed: 1.248 s
% 11.89/1.91 % (31946)Instructions burned: 655 (million)
% 11.89/1.91 % (31946)------------------------------
% 11.89/1.91 % (31946)------------------------------
% 12.53/1.95 % (31945)Instruction limit reached!
% 12.53/1.95 % (31945)------------------------------
% 12.53/1.95 % (31945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.53/1.95 % (31945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.53/1.95 % (31945)Termination reason: Unknown
% 12.53/1.95 % (31945)Termination phase: Saturation
% 12.53/1.95
% 12.53/1.95 % (31945)Memory used [KB]: 13304
% 12.53/1.95 % (31945)Time elapsed: 1.288 s
% 12.53/1.95 % (31945)Instructions burned: 747 (million)
% 12.53/1.95 % (31945)------------------------------
% 12.53/1.95 % (31945)------------------------------
% 13.26/2.09 % (31977)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/10187Mi)
% 13.26/2.11 % (31978)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/29337Mi)
% 13.79/2.13 TRYING [2,1,2,1,2,1,2,1,2,2,2]
% 13.79/2.15 % (31944)Instruction limit reached!
% 13.79/2.15 % (31944)------------------------------
% 13.79/2.15 % (31944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.79/2.15 % (31944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.79/2.15 % (31944)Termination reason: Unknown
% 13.79/2.15 % (31944)Termination phase: Saturation
% 13.79/2.15
% 13.79/2.15 % (31944)Memory used [KB]: 18549
% 13.79/2.15 % (31944)Time elapsed: 1.506 s
% 13.79/2.15 % (31944)Instructions burned: 935 (million)
% 13.79/2.15 % (31944)------------------------------
% 13.79/2.15 % (31944)------------------------------
% 13.79/2.17 % (31948)Instruction limit reached!
% 13.79/2.17 % (31948)------------------------------
% 13.79/2.17 % (31948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.79/2.17 % (31948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.79/2.17 % (31948)Termination reason: Unknown
% 13.79/2.17 % (31948)Termination phase: Saturation
% 13.79/2.17
% 13.79/2.17 % (31948)Memory used [KB]: 10490
% 13.79/2.17 % (31948)Time elapsed: 1.485 s
% 13.79/2.17 % (31948)Instructions burned: 942 (million)
% 13.79/2.17 % (31948)------------------------------
% 13.79/2.17 % (31948)------------------------------
% 15.20/2.31 % (31979)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/10147Mi)
% 15.20/2.31 TRYING [2,1,3,1,2,1,2,1,2,2,2]
% 15.55/2.35 % (31980)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/38056Mi)
% 15.55/2.39 % (31943)Instruction limit reached!
% 15.55/2.39 % (31943)------------------------------
% 15.55/2.39 % (31943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.55/2.39 % (31943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.55/2.39 % (31943)Termination reason: Unknown
% 15.55/2.39 % (31943)Termination phase: Saturation
% 15.55/2.39
% 15.55/2.39 % (31943)Memory used [KB]: 18166
% 15.55/2.39 % (31943)Time elapsed: 1.724 s
% 15.55/2.39 % (31943)Instructions burned: 922 (million)
% 15.55/2.39 % (31943)------------------------------
% 15.55/2.39 % (31943)------------------------------
% 16.55/2.51 TRYING [2,1,3,1,2,1,2,1,3,2,2]
% 16.55/2.55 % (31981)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/33239Mi)
% 17.20/2.58 % (31949)Instruction limit reached!
% 17.20/2.58 % (31949)------------------------------
% 17.20/2.58 % (31949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.20/2.58 % (31949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.20/2.58 % (31949)Termination reason: Unknown
% 17.20/2.58 % (31949)Termination phase: Saturation
% 17.20/2.58
% 17.20/2.58 % (31949)Memory used [KB]: 17398
% 17.20/2.58 % (31949)Time elapsed: 1.888 s
% 17.20/2.58 % (31949)Instructions burned: 982 (million)
% 17.20/2.58 % (31949)------------------------------
% 17.20/2.58 % (31949)------------------------------
% 17.76/2.66 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,2]
% 17.76/2.67 TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 17.76/2.67 TRYING [1,1,1,1,1,1,1,1,1,1,2]
% 17.76/2.69 TRYING [1,1,1,1,1,1,2,1,1,1,2]
% 17.76/2.70 % (31982)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/20987Mi)
% 18.66/2.72 TRYING [1,1,1,1,2,1,2,1,1,1,2]
% 18.66/2.77 Finite Model Found!
% 18.66/2.77 % SZS status Satisfiable for theBenchmark
% 18.66/2.78 % (31910)First to succeed.
% 19.13/2.78 % SZS output start FiniteModel for theBenchmark
% 19.13/2.78 tff(declare_$i,type,$i:$tType).
% 19.13/2.78 tff(declare_$i1,type,fmb_$i_1:$i).
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:$i] : (
% 19.13/2.78 X = fmb_$i_1
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(declare_bool,type,$o:$tType).
% 19.13/2.78 tff(declare_bool1,type,fmb_bool_1:$o).
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:$o] : (
% 19.13/2.78 X = fmb_bool_1
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set_set$',type,'A_n_vec_n_vec_set_set$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set_set$1',type,fmb_'A_n_vec_n_vec_set_set$'_1:'A_n_vec_n_vec_set_set$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set_set$2',type,fmb_'A_n_vec_n_vec_set_set$'_2:'A_n_vec_n_vec_set_set$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set_set$3',type,fmb_'A_n_vec_n_vec_set_set$'_3:'A_n_vec_n_vec_set_set$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_n_vec_set_set$'] : (
% 19.13/2.78 X = fmb_'A_n_vec_n_vec_set_set$'_1 | X = fmb_'A_n_vec_n_vec_set_set$'_2 | X = fmb_'A_n_vec_n_vec_set_set$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'A_n_vec_n_vec_set_set$'_1 != fmb_'A_n_vec_n_vec_set_set$'_2 & fmb_'A_n_vec_n_vec_set_set$'_1 != fmb_'A_n_vec_n_vec_set_set$'_3 & fmb_'A_n_vec_n_vec_set_set$'_2 != fmb_'A_n_vec_n_vec_set_set$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_set_set$',type,'A_set_set$':$tType).
% 19.13/2.78 tff('declare_A_set_set$1',type,fmb_'A_set_set$'_1:'A_set_set$').
% 19.13/2.78 tff('declare_A_set_set$2',type,fmb_'A_set_set$'_2:'A_set_set$').
% 19.13/2.78 tff('declare_A_set_set$3',type,fmb_'A_set_set$'_3:'A_set_set$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_set_set$'] : (
% 19.13/2.78 X = fmb_'A_set_set$'_1 | X = fmb_'A_set_set$'_2 | X = fmb_'A_set_set$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'A_set_set$'_1 != fmb_'A_set_set$'_2 & fmb_'A_set_set$'_1 != fmb_'A_set_set$'_3 & fmb_'A_set_set$'_2 != fmb_'A_set_set$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_set$',type,'A_n_vec_set$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_set$1',type,'zero$f':'A_n_vec_set$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_set$'] : (
% 19.13/2.78 X = 'zero$f'
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_n_vec_bool_fun$',type,'A_n_vec_n_vec_bool_fun$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_n_vec_bool_fun$1',type,'invertible$':'A_n_vec_n_vec_bool_fun$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec_bool_fun$2',type,'reduced_row_echelon_form$':'A_n_vec_n_vec_bool_fun$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec_bool_fun$3',type,fmb_'A_n_vec_n_vec_bool_fun$'_3:'A_n_vec_n_vec_bool_fun$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_n_vec_bool_fun$'] : (
% 19.13/2.78 X = 'invertible$' | X = 'reduced_row_echelon_form$' | X = fmb_'A_n_vec_n_vec_bool_fun$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 'invertible$' != 'reduced_row_echelon_form$' & 'invertible$' != fmb_'A_n_vec_n_vec_bool_fun$'_3 & 'reduced_row_echelon_form$' != fmb_'A_n_vec_n_vec_bool_fun$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_n_vec$',type,'A_n_vec_n_vec$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_n_vec$1',type,'one$b':'A_n_vec_n_vec$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec$2',type,'zero$a':'A_n_vec_n_vec$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_n_vec$'] : (
% 19.13/2.78 X = 'one$b' | X = 'zero$a'
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 'one$b' != 'zero$a'
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_Nat$',type,'Nat$':$tType).
% 19.13/2.78 tff('declare_Nat$1',type,fmb_'Nat$'_1:'Nat$').
% 19.13/2.78 tff('declare_Nat$2',type,fmb_'Nat$'_2:'Nat$').
% 19.13/2.78 tff('declare_Nat$3',type,fmb_'Nat$'_3:'Nat$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'Nat$'] : (
% 19.13/2.78 X = fmb_'Nat$'_1 | X = fmb_'Nat$'_2 | X = fmb_'Nat$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'Nat$'_1 != fmb_'Nat$'_2 & fmb_'Nat$'_1 != fmb_'Nat$'_3 & fmb_'Nat$'_2 != fmb_'Nat$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set$',type,'A_n_vec_n_vec_set$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set$1',type,'zero$e':'A_n_vec_n_vec_set$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set$2',type,fmb_'A_n_vec_n_vec_set$'_2:'A_n_vec_n_vec_set$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec_set$3',type,fmb_'A_n_vec_n_vec_set$'_3:'A_n_vec_n_vec_set$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_n_vec_set$'] : (
% 19.13/2.78 X = 'zero$e' | X = fmb_'A_n_vec_n_vec_set$'_2 | X = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 'zero$e' != fmb_'A_n_vec_n_vec_set$'_2 & 'zero$e' != fmb_'A_n_vec_n_vec_set$'_3 & fmb_'A_n_vec_n_vec_set$'_2 != fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_N$',type,'N$':$tType).
% 19.13/2.78 tff('declare_N$1',type,fmb_'N$'_1:'N$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'N$'] : (
% 19.13/2.78 X = fmb_'N$'_1
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff('declare_Num$',type,'Num$':$tType).
% 19.13/2.78 tff('declare_Num$1',type,fmb_'Num$'_1:'Num$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'Num$'] : (
% 19.13/2.78 X = fmb_'Num$'_1
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff('declare_Num_set$',type,'Num_set$':$tType).
% 19.13/2.78 tff('declare_Num_set$1',type,fmb_'Num_set$'_1:'Num_set$').
% 19.13/2.78 tff('declare_Num_set$2',type,fmb_'Num_set$'_2:'Num_set$').
% 19.13/2.78 tff('declare_Num_set$3',type,fmb_'Num_set$'_3:'Num_set$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'Num_set$'] : (
% 19.13/2.78 X = fmb_'Num_set$'_1 | X = fmb_'Num_set$'_2 | X = fmb_'Num_set$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'Num_set$'_1 != fmb_'Num_set$'_2 & fmb_'Num_set$'_1 != fmb_'Num_set$'_3 & fmb_'Num_set$'_2 != fmb_'Num_set$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff(declare_tlbool,type,tlbool:$tType).
% 19.13/2.78 tff(declare_tlbool1,type,tltrue:tlbool).
% 19.13/2.78 tff(declare_tlbool2,type,tlfalse:tlbool).
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:tlbool] : (
% 19.13/2.78 X = tltrue | X = tlfalse
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 tltrue != tlfalse
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_bool_fun$',type,'A_bool_fun$':$tType).
% 19.13/2.78 tff('declare_A_bool_fun$1',type,fmb_'A_bool_fun$'_1:'A_bool_fun$').
% 19.13/2.78 tff('declare_A_bool_fun$2',type,fmb_'A_bool_fun$'_2:'A_bool_fun$').
% 19.13/2.78 tff('declare_A_bool_fun$3',type,fmb_'A_bool_fun$'_3:'A_bool_fun$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_bool_fun$'] : (
% 19.13/2.78 X = fmb_'A_bool_fun$'_1 | X = fmb_'A_bool_fun$'_2 | X = fmb_'A_bool_fun$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'A_bool_fun$'_1 != fmb_'A_bool_fun$'_2 & fmb_'A_bool_fun$'_1 != fmb_'A_bool_fun$'_3 & fmb_'A_bool_fun$'_2 != fmb_'A_bool_fun$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_set$',type,'A_set$':$tType).
% 19.13/2.78 tff('declare_A_set$1',type,'zero$d':'A_set$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_set$'] : (
% 19.13/2.78 X = 'zero$d'
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_set_set$',type,'A_n_vec_set_set$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_set_set$1',type,fmb_'A_n_vec_set_set$'_1:'A_n_vec_set_set$').
% 19.13/2.78 tff('declare_A_n_vec_set_set$2',type,fmb_'A_n_vec_set_set$'_2:'A_n_vec_set_set$').
% 19.13/2.78 tff('declare_A_n_vec_set_set$3',type,fmb_'A_n_vec_set_set$'_3:'A_n_vec_set_set$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_set_set$'] : (
% 19.13/2.78 X = fmb_'A_n_vec_set_set$'_1 | X = fmb_'A_n_vec_set_set$'_2 | X = fmb_'A_n_vec_set_set$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'A_n_vec_set_set$'_1 != fmb_'A_n_vec_set_set$'_2 & fmb_'A_n_vec_set_set$'_1 != fmb_'A_n_vec_set_set$'_3 & fmb_'A_n_vec_set_set$'_2 != fmb_'A_n_vec_set_set$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A$',type,'A$':$tType).
% 19.13/2.78 tff('declare_A$1',type,'one$':'A$').
% 19.13/2.78 tff('declare_A$2',type,'zero$':'A$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A$'] : (
% 19.13/2.78 X = 'one$' | X = 'zero$'
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 'one$' != 'zero$'
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec$',type,'A_n_vec$':$tType).
% 19.13/2.78 tff('declare_A_n_vec$1',type,'zero$c':'A_n_vec$').
% 19.13/2.78 tff('declare_A_n_vec$2',type,'one$a':'A_n_vec$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec$'] : (
% 19.13/2.78 X = 'zero$c' | X = 'one$a'
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 'zero$c' != 'one$a'
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_a_fun$',type,'A_a_fun$':$tType).
% 19.13/2.78 tff('declare_A_a_fun$1',type,fmb_'A_a_fun$'_1:'A_a_fun$').
% 19.13/2.78 tff('declare_A_a_fun$2',type,fmb_'A_a_fun$'_2:'A_a_fun$').
% 19.13/2.78 tff('declare_A_a_fun$3',type,fmb_'A_a_fun$'_3:'A_a_fun$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_a_fun$'] : (
% 19.13/2.78 X = fmb_'A_a_fun$'_1 | X = fmb_'A_a_fun$'_2 | X = fmb_'A_a_fun$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'A_a_fun$'_1 != fmb_'A_a_fun$'_2 & fmb_'A_a_fun$'_1 != fmb_'A_a_fun$'_3 & fmb_'A_a_fun$'_2 != fmb_'A_a_fun$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_n_vec_n_vec$',type,'A_n_vec_n_vec_n_vec$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_n_vec_n_vec$1',type,'zero$b':'A_n_vec_n_vec_n_vec$').
% 19.13/2.78 tff('declare_A_n_vec_n_vec_n_vec$2',type,fmb_'A_n_vec_n_vec_n_vec$'_2:'A_n_vec_n_vec_n_vec$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_n_vec_n_vec$'] : (
% 19.13/2.78 X = 'zero$b' | X = fmb_'A_n_vec_n_vec_n_vec$'_2
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 'zero$b' != fmb_'A_n_vec_n_vec_n_vec$'_2
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_A_n_vec_bool_fun$',type,'A_n_vec_bool_fun$':$tType).
% 19.13/2.78 tff('declare_A_n_vec_bool_fun$1',type,fmb_'A_n_vec_bool_fun$'_1:'A_n_vec_bool_fun$').
% 19.13/2.78 tff('declare_A_n_vec_bool_fun$2',type,fmb_'A_n_vec_bool_fun$'_2:'A_n_vec_bool_fun$').
% 19.13/2.78 tff('declare_A_n_vec_bool_fun$3',type,fmb_'A_n_vec_bool_fun$'_3:'A_n_vec_bool_fun$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'A_n_vec_bool_fun$'] : (
% 19.13/2.78 X = fmb_'A_n_vec_bool_fun$'_1 | X = fmb_'A_n_vec_bool_fun$'_2 | X = fmb_'A_n_vec_bool_fun$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'A_n_vec_bool_fun$'_1 != fmb_'A_n_vec_bool_fun$'_2 & fmb_'A_n_vec_bool_fun$'_1 != fmb_'A_n_vec_bool_fun$'_3 & fmb_'A_n_vec_bool_fun$'_2 != fmb_'A_n_vec_bool_fun$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_N_a_n_vec_n_vec_fun$',type,'N_a_n_vec_n_vec_fun$':$tType).
% 19.13/2.78 tff('declare_N_a_n_vec_n_vec_fun$1',type,fmb_'N_a_n_vec_n_vec_fun$'_1:'N_a_n_vec_n_vec_fun$').
% 19.13/2.78 tff('declare_N_a_n_vec_n_vec_fun$2',type,fmb_'N_a_n_vec_n_vec_fun$'_2:'N_a_n_vec_n_vec_fun$').
% 19.13/2.78 tff('declare_N_a_n_vec_n_vec_fun$3',type,fmb_'N_a_n_vec_n_vec_fun$'_3:'N_a_n_vec_n_vec_fun$').
% 19.13/2.78 tff(finite_domain,axiom,
% 19.13/2.78 ! [X:'N_a_n_vec_n_vec_fun$'] : (
% 19.13/2.78 X = fmb_'N_a_n_vec_n_vec_fun$'_1 | X = fmb_'N_a_n_vec_n_vec_fun$'_2 | X = fmb_'N_a_n_vec_n_vec_fun$'_3
% 19.13/2.78 ) ).
% 19.13/2.78
% 19.13/2.78 tff(distinct_domain,axiom,
% 19.13/2.78 fmb_'N_a_n_vec_n_vec_fun$'_1 != fmb_'N_a_n_vec_n_vec_fun$'_2 & fmb_'N_a_n_vec_n_vec_fun$'_1 != fmb_'N_a_n_vec_n_vec_fun$'_3 & fmb_'N_a_n_vec_n_vec_fun$'_2 != fmb_'N_a_n_vec_n_vec_fun$'_3
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_a$',type,'a$':'A_n_vec_n_vec$').
% 19.13/2.78 tff('a$_definition',axiom,'a$' = 'one$b').
% 19.13/2.78 tff('declare_orthogonal_matrix$',type,'orthogonal_matrix$':'A_n_vec_n_vec_bool_fun$').
% 19.13/2.78 tff('orthogonal_matrix$_definition',axiom,'orthogonal_matrix$' = 'invertible$').
% 19.13/2.78 tff('declare_one$c',type,'one$c':'A_set$').
% 19.13/2.78 tff('one$c_definition',axiom,'one$c' = 'zero$d').
% 19.13/2.78 tff('declare_p$',type,'p$':'A_n_vec_n_vec$').
% 19.13/2.78 tff('p$_definition',axiom,'p$' = 'one$b').
% 19.13/2.78 tff('declare_numeral$a',type,'numeral$a': 'Num$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_numeral$a',axiom,
% 19.13/2.78 'numeral$a'(fmb_'Num$'_1) = 'one$b'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_uu$',type,'uu$': 'A_set$' > 'A_bool_fun$').
% 19.13/2.78 tff('function_uu$',axiom,
% 19.13/2.78 'uu$'('zero$d') = fmb_'A_bool_fun$'_1
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_mat$',type,'mat$': 'A$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_mat$',axiom,
% 19.13/2.78 'mat$'('one$') = 'one$b'
% 19.13/2.78 & 'mat$'('zero$') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_uub$',type,'uub$': 'A_n_vec_set$' > 'A_n_vec_bool_fun$').
% 19.13/2.78 tff('function_uub$',axiom,
% 19.13/2.78 'uub$'('zero$f') = fmb_'A_n_vec_bool_fun$'_1
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$d',type,'times$d': 'A_n_vec_set$' * 'A_n_vec_set$' > 'A_n_vec_set$').
% 19.13/2.78 tff('function_times$d',axiom,
% 19.13/2.78 'times$d'('zero$f','zero$f') = 'zero$f'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_vector_matrix_mult$a',type,'vector_matrix_mult$a': 'A_n_vec$' * 'A_n_vec_n_vec$' > 'A_n_vec$').
% 19.13/2.78 tff('function_vector_matrix_mult$a',axiom,
% 19.13/2.78 'vector_matrix_mult$a'('zero$c','one$b') = 'zero$c'
% 19.13/2.78 & 'vector_matrix_mult$a'('zero$c','zero$a') = 'zero$c'
% 19.13/2.78 & 'vector_matrix_mult$a'('one$a','one$b') = 'one$a'
% 19.13/2.78 & 'vector_matrix_mult$a'('one$a','zero$a') = 'zero$c'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_axis$',type,'axis$': 'N$' * 'A_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_axis$',axiom,
% 19.13/2.78 'axis$'(fmb_'N$'_1,'zero$c') = 'zero$a'
% 19.13/2.78 & 'axis$'(fmb_'N$'_1,'one$a') = 'one$b'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_columnvector$',type,'columnvector$': 'A_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_columnvector$',axiom,
% 19.13/2.78 'columnvector$'('zero$c') = 'zero$a'
% 19.13/2.78 & 'columnvector$'('one$a') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$g',type,'plus$g': 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_plus$g',axiom,
% 19.13/2.78 'plus$g'('one$b','one$b') = 'zero$a'
% 19.13/2.78 & 'plus$g'('one$b','zero$a') = 'one$b'
% 19.13/2.78 & 'plus$g'('zero$a','one$b') = 'one$b'
% 19.13/2.78 & 'plus$g'('zero$a','zero$a') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$g',type,'times$g': 'Num$' * 'Num$' > 'Num$').
% 19.13/2.78 tff('function_times$g',axiom,
% 19.13/2.78 'times$g'(fmb_'Num$'_1,fmb_'Num$'_1) = fmb_'Num$'_1
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_collect$a',type,'collect$a': 'A_n_vec_n_vec_bool_fun$' > 'A_n_vec_n_vec_set$').
% 19.13/2.78 tff('function_collect$a',axiom,
% 19.13/2.78 'collect$a'('invertible$') = fmb_'A_n_vec_n_vec_set$'_2
% 19.13/2.78 & 'collect$a'('reduced_row_echelon_form$') = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 & 'collect$a'(fmb_'A_n_vec_n_vec_bool_fun$'_3) = 'zero$e'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_axis$a',type,'axis$a': 'N$' * 'A$' > 'A_n_vec$').
% 19.13/2.78 tff('function_axis$a',axiom,
% 19.13/2.78 'axis$a'(fmb_'N$'_1,'one$') = 'one$a'
% 19.13/2.78 & 'axis$a'(fmb_'N$'_1,'zero$') = 'zero$c'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$c',type,'plus$c': 'A_n_vec_n_vec_set_set$' * 'A_n_vec_n_vec_set_set$' > 'A_n_vec_n_vec_set_set$').
% 19.13/2.78 tff('function_plus$c',axiom,
% 19.13/2.78 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_1,fmb_'A_n_vec_n_vec_set_set$'_1) = fmb_'A_n_vec_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_1,fmb_'A_n_vec_n_vec_set_set$'_2) = fmb_'A_n_vec_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_1,fmb_'A_n_vec_n_vec_set_set$'_3) = fmb_'A_n_vec_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_2,fmb_'A_n_vec_n_vec_set_set$'_1) = fmb_'A_n_vec_n_vec_set_set$'_3
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_2,fmb_'A_n_vec_n_vec_set_set$'_2) = fmb_'A_n_vec_n_vec_set_set$'_2
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_2,fmb_'A_n_vec_n_vec_set_set$'_3) = fmb_'A_n_vec_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_3,fmb_'A_n_vec_n_vec_set_set$'_1) = fmb_'A_n_vec_n_vec_set_set$'_3
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_3,fmb_'A_n_vec_n_vec_set_set$'_2) = fmb_'A_n_vec_n_vec_set_set$'_3
% 19.13/2.78 & 'plus$c'(fmb_'A_n_vec_n_vec_set_set$'_3,fmb_'A_n_vec_n_vec_set_set$'_3) = fmb_'A_n_vec_n_vec_set_set$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$i',type,'plus$i': 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec_n_vec$').
% 19.13/2.78 tff('function_plus$i',axiom,
% 19.13/2.78 'plus$i'('zero$b','zero$b') = 'zero$b'
% 19.13/2.78 & 'plus$i'('zero$b',fmb_'A_n_vec_n_vec_n_vec$'_2) = fmb_'A_n_vec_n_vec_n_vec$'_2
% 19.13/2.78 & 'plus$i'(fmb_'A_n_vec_n_vec_n_vec$'_2,'zero$b') = fmb_'A_n_vec_n_vec_n_vec$'_2
% 19.13/2.78 & 'plus$i'(fmb_'A_n_vec_n_vec_n_vec$'_2,fmb_'A_n_vec_n_vec_n_vec$'_2) = 'zero$b'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_vec$a',type,'vec$a': 'A_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_vec$a',axiom,
% 19.13/2.78 'vec$a'('zero$c') = 'zero$a'
% 19.13/2.78 & 'vec$a'('one$a') = 'one$b'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$a',type,'times$a': 'A_n_vec$' * 'A_n_vec$' > 'A_n_vec$').
% 19.13/2.78 tff('function_times$a',axiom,
% 19.13/2.78 'times$a'('zero$c','zero$c') = 'zero$c'
% 19.13/2.78 & 'times$a'('zero$c','one$a') = 'zero$c'
% 19.13/2.78 & 'times$a'('one$a','zero$c') = 'zero$c'
% 19.13/2.78 & 'times$a'('one$a','one$a') = 'one$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$',type,'times$': 'A$' * 'A$' > 'A$').
% 19.13/2.78 tff('function_times$',axiom,
% 19.13/2.78 'times$'('one$','one$') = 'one$'
% 19.13/2.78 & 'times$'('one$','zero$') = 'zero$'
% 19.13/2.78 & 'times$'('zero$','one$') = 'zero$'
% 19.13/2.78 & 'times$'('zero$','zero$') = 'zero$'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_collect$',type,'collect$': 'A_bool_fun$' > 'A_set$').
% 19.13/2.78 tff('function_collect$',axiom,
% 19.13/2.78 'collect$'(fmb_'A_bool_fun$'_1) = 'zero$d'
% 19.13/2.78 & 'collect$'(fmb_'A_bool_fun$'_2) = 'zero$d'
% 19.13/2.78 & 'collect$'(fmb_'A_bool_fun$'_3) = 'zero$d'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_matrix_inv$',type,'matrix_inv$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_matrix_inv$',axiom,
% 19.13/2.78 'matrix_inv$'('one$b') = 'one$b'
% 19.13/2.78 & 'matrix_inv$'('zero$a') = 'one$b'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_equivalent_matrices$',type,'equivalent_matrices$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec_bool_fun$').
% 19.13/2.78 tff('function_equivalent_matrices$',axiom,
% 19.13/2.78 'equivalent_matrices$'('one$b') = 'invertible$'
% 19.13/2.78 & 'equivalent_matrices$'('zero$a') = fmb_'A_n_vec_n_vec_bool_fun$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$a',type,'plus$a': 'A_set_set$' * 'A_set_set$' > 'A_set_set$').
% 19.13/2.78 tff('function_plus$a',axiom,
% 19.13/2.78 'plus$a'(fmb_'A_set_set$'_1,fmb_'A_set_set$'_1) = fmb_'A_set_set$'_1
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_1,fmb_'A_set_set$'_2) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_1,fmb_'A_set_set$'_3) = fmb_'A_set_set$'_3
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_2,fmb_'A_set_set$'_1) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_2,fmb_'A_set_set$'_2) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_2,fmb_'A_set_set$'_3) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_3,fmb_'A_set_set$'_1) = fmb_'A_set_set$'_3
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_3,fmb_'A_set_set$'_2) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'plus$a'(fmb_'A_set_set$'_3,fmb_'A_set_set$'_3) = fmb_'A_set_set$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$',type,'plus$': 'A_set$' * 'A_set$' > 'A_set$').
% 19.13/2.78 tff('function_plus$',axiom,
% 19.13/2.78 'plus$'('zero$d','zero$d') = 'zero$d'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$h',type,'plus$h': 'A$' * 'A$' > 'A$').
% 19.13/2.78 tff('function_plus$h',axiom,
% 19.13/2.78 'plus$h'('one$','one$') = 'zero$'
% 19.13/2.78 & 'plus$h'('one$','zero$') = 'one$'
% 19.13/2.78 & 'plus$h'('zero$','one$') = 'one$'
% 19.13/2.78 & 'plus$h'('zero$','zero$') = 'zero$'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_row_add$',type,'row_add$': 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_row_add$',axiom,
% 19.13/2.78 'row_add$'('one$b',fmb_'N$'_1,fmb_'N$'_1,'one$') = 'zero$a'
% 19.13/2.78 % 'row_add$'('one$b',fmb_'N$'_1,fmb_'N$'_1,'zero$') undefined in model
% 19.13/2.78 & 'row_add$'('zero$a',fmb_'N$'_1,fmb_'N$'_1,'one$') = 'zero$a'
% 19.13/2.78 % 'row_add$'('zero$a',fmb_'N$'_1,fmb_'N$'_1,'zero$') undefined in model
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_numeral$',type,'numeral$': 'Num$' > 'A_n_vec$').
% 19.13/2.78 tff('function_numeral$',axiom,
% 19.13/2.78 'numeral$'(fmb_'Num$'_1) = 'one$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_mat$a',type,'mat$a': 'A_n_vec$' > 'A_n_vec_n_vec_n_vec$').
% 19.13/2.78 tff('function_mat$a',axiom,
% 19.13/2.78 'mat$a'('zero$c') = 'zero$b'
% 19.13/2.78 & 'mat$a'('one$a') = fmb_'A_n_vec_n_vec_n_vec$'_2
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_collect$b',type,'collect$b': 'A_n_vec_bool_fun$' > 'A_n_vec_set$').
% 19.13/2.78 tff('function_collect$b',axiom,
% 19.13/2.78 'collect$b'(fmb_'A_n_vec_bool_fun$'_1) = 'zero$f'
% 19.13/2.78 & 'collect$b'(fmb_'A_n_vec_bool_fun$'_2) = 'zero$f'
% 19.13/2.78 & 'collect$b'(fmb_'A_n_vec_bool_fun$'_3) = 'zero$f'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_mult_column$',type,'mult_column$': 'A_n_vec_n_vec$' * 'N$' * 'A$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_mult_column$',axiom,
% 19.13/2.78 'mult_column$'('one$b',fmb_'N$'_1,'one$') = 'one$b'
% 19.13/2.78 & 'mult_column$'('one$b',fmb_'N$'_1,'zero$') = 'one$b'
% 19.13/2.78 & 'mult_column$'('zero$a',fmb_'N$'_1,'one$') = 'zero$a'
% 19.13/2.78 & 'mult_column$'('zero$a',fmb_'N$'_1,'zero$') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_column_add$',type,'column_add$': 'A_n_vec_n_vec$' * 'N$' * 'N$' * 'A$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_column_add$',axiom,
% 19.13/2.78 'column_add$'('one$b',fmb_'N$'_1,fmb_'N$'_1,'one$') = 'one$b'
% 19.13/2.78 % 'column_add$'('one$b',fmb_'N$'_1,fmb_'N$'_1,'zero$') undefined in model
% 19.13/2.78 & 'column_add$'('zero$a',fmb_'N$'_1,fmb_'N$'_1,'one$') = 'zero$a'
% 19.13/2.78 % 'column_add$'('zero$a',fmb_'N$'_1,fmb_'N$'_1,'zero$') undefined in model
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$b',type,'plus$b': 'A_n_vec_n_vec_set$' * 'A_n_vec_n_vec_set$' > 'A_n_vec_n_vec_set$').
% 19.13/2.78 tff('function_plus$b',axiom,
% 19.13/2.78 'plus$b'('zero$e','zero$e') = 'zero$e'
% 19.13/2.78 & 'plus$b'('zero$e',fmb_'A_n_vec_n_vec_set$'_2) = fmb_'A_n_vec_n_vec_set$'_2
% 19.13/2.78 & 'plus$b'('zero$e',fmb_'A_n_vec_n_vec_set$'_3) = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 & 'plus$b'(fmb_'A_n_vec_n_vec_set$'_2,'zero$e') = fmb_'A_n_vec_n_vec_set$'_2
% 19.13/2.78 & 'plus$b'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set$'_2) = 'zero$e'
% 19.13/2.78 & 'plus$b'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set$'_3) = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 & 'plus$b'(fmb_'A_n_vec_n_vec_set$'_3,'zero$e') = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 & 'plus$b'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set$'_2) = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 & 'plus$b'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set$'_3) = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_divide$',type,'divide$': 'A$' > 'A_a_fun$').
% 19.13/2.78 tff('function_divide$',axiom,
% 19.13/2.78 'divide$'('one$') = fmb_'A_a_fun$'_2
% 19.13/2.78 & 'divide$'('zero$') = fmb_'A_a_fun$'_1
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_matrix_matrix_mult$',type,'matrix_matrix_mult$': 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_matrix_matrix_mult$',axiom,
% 19.13/2.78 'matrix_matrix_mult$'('one$b','one$b') = 'one$b'
% 19.13/2.78 & 'matrix_matrix_mult$'('one$b','zero$a') = 'zero$a'
% 19.13/2.78 & 'matrix_matrix_mult$'('zero$a','one$b') = 'zero$a'
% 19.13/2.78 & 'matrix_matrix_mult$'('zero$a','zero$a') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_transpose$',type,'transpose$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_transpose$',axiom,
% 19.13/2.78 'transpose$'('one$b') = 'one$b'
% 19.13/2.78 & 'transpose$'('zero$a') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_fun_app$d',type,'fun_app$d': 'A_a_fun$' * 'A$' > 'A$').
% 19.13/2.78 tff('function_fun_app$d',axiom,
% 19.13/2.78 'fun_app$d'(fmb_'A_a_fun$'_1,'one$') = 'zero$'
% 19.13/2.78 & 'fun_app$d'(fmb_'A_a_fun$'_1,'zero$') = 'zero$'
% 19.13/2.78 & 'fun_app$d'(fmb_'A_a_fun$'_2,'one$') = 'one$'
% 19.13/2.78 & 'fun_app$d'(fmb_'A_a_fun$'_2,'zero$') = 'zero$'
% 19.13/2.78 & 'fun_app$d'(fmb_'A_a_fun$'_3,'one$') = 'zero$'
% 19.13/2.78 & 'fun_app$d'(fmb_'A_a_fun$'_3,'zero$') = 'zero$'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_uua$',type,'uua$': 'A_n_vec_n_vec_set$' > 'A_n_vec_n_vec_bool_fun$').
% 19.13/2.78 tff('function_uua$',axiom,
% 19.13/2.78 'uua$'('zero$e') = fmb_'A_n_vec_n_vec_bool_fun$'_3
% 19.13/2.78 & 'uua$'(fmb_'A_n_vec_n_vec_set$'_2) = 'invertible$'
% 19.13/2.78 & 'uua$'(fmb_'A_n_vec_n_vec_set$'_3) = 'reduced_row_echelon_form$'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_matrix_vector_mult$a',type,'matrix_vector_mult$a': 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_matrix_vector_mult$a',axiom,
% 19.13/2.78 'matrix_vector_mult$a'('zero$b','one$b') = 'zero$a'
% 19.13/2.78 & 'matrix_vector_mult$a'('zero$b','zero$a') = 'zero$a'
% 19.13/2.78 & 'matrix_vector_mult$a'(fmb_'A_n_vec_n_vec_n_vec$'_2,'one$b') = 'one$b'
% 19.13/2.78 & 'matrix_vector_mult$a'(fmb_'A_n_vec_n_vec_n_vec$'_2,'zero$a') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_column$',type,'column$': 'N$' * 'A_n_vec_n_vec$' > 'A_n_vec$').
% 19.13/2.78 tff('function_column$',axiom,
% 19.13/2.78 'column$'(fmb_'N$'_1,'one$b') = 'zero$c'
% 19.13/2.78 & 'column$'(fmb_'N$'_1,'zero$a') = 'zero$c'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_vec$',type,'vec$': 'A$' > 'A_n_vec$').
% 19.13/2.78 tff('function_vec$',axiom,
% 19.13/2.78 'vec$'('one$') = 'one$a'
% 19.13/2.78 & 'vec$'('zero$') = 'zero$c'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$b',type,'times$b': 'A_n_vec_n_vec$' * 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_times$b',axiom,
% 19.13/2.78 'times$b'('one$b','one$b') = 'one$b'
% 19.13/2.78 & 'times$b'('one$b','zero$a') = 'zero$a'
% 19.13/2.78 & 'times$b'('zero$a','one$b') = 'zero$a'
% 19.13/2.78 & 'times$b'('zero$a','zero$a') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$d',type,'plus$d': 'A_n_vec$' * 'A_n_vec$' > 'A_n_vec$').
% 19.13/2.78 tff('function_plus$d',axiom,
% 19.13/2.78 'plus$d'('zero$c','zero$c') = 'zero$c'
% 19.13/2.78 & 'plus$d'('zero$c','one$a') = 'one$a'
% 19.13/2.78 & 'plus$d'('one$a','zero$c') = 'one$a'
% 19.13/2.78 & 'plus$d'('one$a','one$a') = 'zero$c'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_fun_app$c',type,'fun_app$c': 'N_a_n_vec_n_vec_fun$' * 'N$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_fun_app$c',axiom,
% 19.13/2.78 'fun_app$c'(fmb_'N_a_n_vec_n_vec_fun$'_1,fmb_'N$'_1) = 'one$b'
% 19.13/2.78 & 'fun_app$c'(fmb_'N_a_n_vec_n_vec_fun$'_2,fmb_'N$'_1) = 'zero$a'
% 19.13/2.78 & 'fun_app$c'(fmb_'N_a_n_vec_n_vec_fun$'_3,fmb_'N$'_1) = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_numeral$b',type,'numeral$b': 'Num$' > 'A$').
% 19.13/2.78 tff('function_numeral$b',axiom,
% 19.13/2.78 'numeral$b'(fmb_'Num$'_1) = 'one$'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$e',type,'plus$e': 'A_n_vec_set$' * 'A_n_vec_set$' > 'A_n_vec_set$').
% 19.13/2.78 tff('function_plus$e',axiom,
% 19.13/2.78 'plus$e'('zero$f','zero$f') = 'zero$f'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$h',type,'times$h': 'Num_set$' * 'Num_set$' > 'Num_set$').
% 19.13/2.78 tff('function_times$h',axiom,
% 19.13/2.78 'times$h'(fmb_'Num_set$'_1,fmb_'Num_set$'_1) = fmb_'Num_set$'_1
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_1,fmb_'Num_set$'_2) = fmb_'Num_set$'_2
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_1,fmb_'Num_set$'_3) = fmb_'Num_set$'_3
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_2,fmb_'Num_set$'_1) = fmb_'Num_set$'_1
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_2,fmb_'Num_set$'_2) = fmb_'Num_set$'_2
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_2,fmb_'Num_set$'_3) = fmb_'Num_set$'_3
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_3,fmb_'Num_set$'_1) = fmb_'Num_set$'_1
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_3,fmb_'Num_set$'_2) = fmb_'Num_set$'_2
% 19.13/2.78 & 'times$h'(fmb_'Num_set$'_3,fmb_'Num_set$'_3) = fmb_'Num_set$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_similar_matrices$',type,'similar_matrices$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec_bool_fun$').
% 19.13/2.78 tff('function_similar_matrices$',axiom,
% 19.13/2.78 'similar_matrices$'('one$b') = 'invertible$'
% 19.13/2.78 & 'similar_matrices$'('zero$a') = fmb_'A_n_vec_n_vec_bool_fun$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_transpose$a',type,'transpose$a': 'A_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec_n_vec$').
% 19.13/2.78 tff('function_transpose$a',axiom,
% 19.13/2.78 'transpose$a'('zero$b') = 'zero$b'
% 19.13/2.78 & 'transpose$a'(fmb_'A_n_vec_n_vec_n_vec$'_2) = fmb_'A_n_vec_n_vec_n_vec$'_2
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$c',type,'times$c': 'A_set$' * 'A_set$' > 'A_set$').
% 19.13/2.78 tff('function_times$c',axiom,
% 19.13/2.78 'times$c'('zero$d','zero$d') = 'zero$d'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_mult_row$',type,'mult_row$': 'A_n_vec_n_vec$' * 'N$' * 'A$' > 'A_n_vec_n_vec$').
% 19.13/2.78 tff('function_mult_row$',axiom,
% 19.13/2.78 'mult_row$'('one$b',fmb_'N$'_1,'one$') = 'one$b'
% 19.13/2.78 & 'mult_row$'('one$b',fmb_'N$'_1,'zero$') = 'zero$a'
% 19.13/2.78 & 'mult_row$'('zero$a',fmb_'N$'_1,'one$') = 'zero$a'
% 19.13/2.78 & 'mult_row$'('zero$a',fmb_'N$'_1,'zero$') = 'zero$a'
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_matrix_matrix_mult$a',type,'matrix_matrix_mult$a': 'A_n_vec_n_vec_n_vec$' * 'A_n_vec_n_vec_n_vec$' > 'A_n_vec_n_vec_n_vec$').
% 19.13/2.78 tff('function_matrix_matrix_mult$a',axiom,
% 19.13/2.78 'matrix_matrix_mult$a'('zero$b','zero$b') = 'zero$b'
% 19.13/2.78 & 'matrix_matrix_mult$a'('zero$b',fmb_'A_n_vec_n_vec_n_vec$'_2) = 'zero$b'
% 19.13/2.78 & 'matrix_matrix_mult$a'(fmb_'A_n_vec_n_vec_n_vec$'_2,'zero$b') = 'zero$b'
% 19.13/2.78 & 'matrix_matrix_mult$a'(fmb_'A_n_vec_n_vec_n_vec$'_2,fmb_'A_n_vec_n_vec_n_vec$'_2) = fmb_'A_n_vec_n_vec_n_vec$'_2
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_interchange_rows$',type,'interchange_rows$': 'A_n_vec_n_vec$' * 'N$' > 'N_a_n_vec_n_vec_fun$').
% 19.13/2.78 tff('function_interchange_rows$',axiom,
% 19.13/2.78 'interchange_rows$'('one$b',fmb_'N$'_1) = fmb_'N_a_n_vec_n_vec_fun$'_1
% 19.13/2.78 & 'interchange_rows$'('zero$a',fmb_'N$'_1) = fmb_'N_a_n_vec_n_vec_fun$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$e',type,'times$e': 'A_n_vec_n_vec_set$' * 'A_n_vec_n_vec_set$' > 'A_n_vec_n_vec_set$').
% 19.13/2.78 tff('function_times$e',axiom,
% 19.13/2.78 'times$e'('zero$e','zero$e') = 'zero$e'
% 19.13/2.78 & 'times$e'('zero$e',fmb_'A_n_vec_n_vec_set$'_2) = 'zero$e'
% 19.13/2.78 & 'times$e'('zero$e',fmb_'A_n_vec_n_vec_set$'_3) = 'zero$e'
% 19.13/2.78 & 'times$e'(fmb_'A_n_vec_n_vec_set$'_2,'zero$e') = 'zero$e'
% 19.13/2.78 & 'times$e'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set$'_2) = fmb_'A_n_vec_n_vec_set$'_2
% 19.13/2.78 & 'times$e'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set$'_3) = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 & 'times$e'(fmb_'A_n_vec_n_vec_set$'_3,'zero$e') = 'zero$e'
% 19.13/2.78 & 'times$e'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set$'_2) = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78 & 'times$e'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set$'_3) = fmb_'A_n_vec_n_vec_set$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_times$f',type,'times$f': 'A_set_set$' * 'A_set_set$' > 'A_set_set$').
% 19.13/2.78 tff('function_times$f',axiom,
% 19.13/2.78 'times$f'(fmb_'A_set_set$'_1,fmb_'A_set_set$'_1) = fmb_'A_set_set$'_1
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_1,fmb_'A_set_set$'_2) = fmb_'A_set_set$'_1
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_1,fmb_'A_set_set$'_3) = fmb_'A_set_set$'_1
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_2,fmb_'A_set_set$'_1) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_2,fmb_'A_set_set$'_2) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_2,fmb_'A_set_set$'_3) = fmb_'A_set_set$'_3
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_3,fmb_'A_set_set$'_1) = fmb_'A_set_set$'_1
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_3,fmb_'A_set_set$'_2) = fmb_'A_set_set$'_2
% 19.13/2.78 & 'times$f'(fmb_'A_set_set$'_3,fmb_'A_set_set$'_3) = fmb_'A_set_set$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_plus$f',type,'plus$f': 'A_n_vec_set_set$' * 'A_n_vec_set_set$' > 'A_n_vec_set_set$').
% 19.13/2.78 tff('function_plus$f',axiom,
% 19.13/2.78 'plus$f'(fmb_'A_n_vec_set_set$'_1,fmb_'A_n_vec_set_set$'_1) = fmb_'A_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_1,fmb_'A_n_vec_set_set$'_2) = fmb_'A_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_1,fmb_'A_n_vec_set_set$'_3) = fmb_'A_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_2,fmb_'A_n_vec_set_set$'_1) = fmb_'A_n_vec_set_set$'_2
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_2,fmb_'A_n_vec_set_set$'_2) = fmb_'A_n_vec_set_set$'_2
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_2,fmb_'A_n_vec_set_set$'_3) = fmb_'A_n_vec_set_set$'_1
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_3,fmb_'A_n_vec_set_set$'_1) = fmb_'A_n_vec_set_set$'_3
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_3,fmb_'A_n_vec_set_set$'_2) = fmb_'A_n_vec_set_set$'_3
% 19.13/2.78 & 'plus$f'(fmb_'A_n_vec_set_set$'_3,fmb_'A_n_vec_set_set$'_3) = fmb_'A_n_vec_set_set$'_3
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_member$f',type,'member$f': 'A_n_vec_set$' * 'A_n_vec_set_set$' > $o ).
% 19.13/2.78 tff('predicate_member$f',axiom,
% 19.13/2.78 ~'member$f'('zero$f',fmb_'A_n_vec_set_set$'_1)
% 19.13/2.78 & ~'member$f'('zero$f',fmb_'A_n_vec_set_set$'_2)
% 19.13/2.78 & ~'member$f'('zero$f',fmb_'A_n_vec_set_set$'_3)
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_member$',type,'member$': 'A_n_vec_n_vec$' * 'A_n_vec_n_vec_set$' > $o ).
% 19.13/2.78 tff('predicate_member$',axiom,
% 19.13/2.78 ~'member$'('one$b','zero$e')
% 19.13/2.78 & 'member$'('one$b',fmb_'A_n_vec_n_vec_set$'_2)
% 19.13/2.78 & 'member$'('one$b',fmb_'A_n_vec_n_vec_set$'_3)
% 19.13/2.78 & 'member$'('zero$a','zero$e')
% 19.13/2.78 & ~'member$'('zero$a',fmb_'A_n_vec_n_vec_set$'_2)
% 19.13/2.78 & 'member$'('zero$a',fmb_'A_n_vec_n_vec_set$'_3)
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_member$e',type,'member$e': 'A_n_vec_n_vec_set$' * 'A_n_vec_n_vec_set_set$' > $o ).
% 19.13/2.78 tff('predicate_member$e',axiom,
% 19.13/2.78 ~'member$e'('zero$e',fmb_'A_n_vec_n_vec_set_set$'_1)
% 19.13/2.78 & ~'member$e'('zero$e',fmb_'A_n_vec_n_vec_set_set$'_2)
% 19.13/2.78 & ~'member$e'('zero$e',fmb_'A_n_vec_n_vec_set_set$'_3)
% 19.13/2.78 & ~'member$e'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set_set$'_1)
% 19.13/2.78 & ~'member$e'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set_set$'_2)
% 19.13/2.78 & ~'member$e'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set_set$'_3)
% 19.13/2.78 & ~'member$e'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set_set$'_1)
% 19.13/2.78 & 'member$e'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set_set$'_2)
% 19.13/2.78 & ~'member$e'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set_set$'_3)
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_member$d',type,'member$d': 'Num$' * 'Num_set$' > $o ).
% 19.13/2.78 tff('predicate_member$d',axiom,
% 19.13/2.78 ~'member$d'(fmb_'Num$'_1,fmb_'Num_set$'_1)
% 19.13/2.78 & ~'member$d'(fmb_'Num$'_1,fmb_'Num_set$'_2)
% 19.13/2.78 & ~'member$d'(fmb_'Num$'_1,fmb_'Num_set$'_3)
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_member$b',type,'member$b': 'A$' * 'A_set$' > $o ).
% 19.13/2.78 tff('predicate_member$b',axiom,
% 19.13/2.78 ~'member$b'('one$','zero$d')
% 19.13/2.78 & 'member$b'('zero$','zero$d')
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_fun_app$b',type,'fun_app$b': 'A_bool_fun$' * 'A$' > $o ).
% 19.13/2.78 tff('predicate_fun_app$b',axiom,
% 19.13/2.78 ~'fun_app$b'(fmb_'A_bool_fun$'_1,'one$')
% 19.13/2.78 & 'fun_app$b'(fmb_'A_bool_fun$'_1,'zero$')
% 19.13/2.78 & ~'fun_app$b'(fmb_'A_bool_fun$'_2,'one$')
% 19.13/2.78 & 'fun_app$b'(fmb_'A_bool_fun$'_2,'zero$')
% 19.13/2.78 & ~'fun_app$b'(fmb_'A_bool_fun$'_3,'one$')
% 19.13/2.78 & 'fun_app$b'(fmb_'A_bool_fun$'_3,'zero$')
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_less_eq$',type,'less_eq$': 'A_n_vec_set$' * 'A_n_vec_set$' > $o ).
% 19.13/2.78 tff('predicate_less_eq$',axiom,
% 19.13/2.78 'less_eq$'('zero$f','zero$f')
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_fun_app$a',type,'fun_app$a': 'A_n_vec_bool_fun$' * 'A_n_vec$' > $o ).
% 19.13/2.78 tff('predicate_fun_app$a',axiom,
% 19.13/2.78 'fun_app$a'(fmb_'A_n_vec_bool_fun$'_1,'zero$c')
% 19.13/2.78 & ~'fun_app$a'(fmb_'A_n_vec_bool_fun$'_1,'one$a')
% 19.13/2.78 & 'fun_app$a'(fmb_'A_n_vec_bool_fun$'_2,'zero$c')
% 19.13/2.78 & ~'fun_app$a'(fmb_'A_n_vec_bool_fun$'_2,'one$a')
% 19.13/2.78 & 'fun_app$a'(fmb_'A_n_vec_bool_fun$'_3,'zero$c')
% 19.13/2.78 & ~'fun_app$a'(fmb_'A_n_vec_bool_fun$'_3,'one$a')
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_invertible$a',type,'invertible$a': 'A_n_vec_n_vec_n_vec$' > $o ).
% 19.13/2.78 tff('predicate_invertible$a',axiom,
% 19.13/2.78 % 'invertible$a'('zero$b') undefined in model
% 19.13/2.78 % 'invertible$a'(fmb_'A_n_vec_n_vec_n_vec$'_2) undefined in model
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_less_eq$a',type,'less_eq$a': 'A_n_vec_n_vec_set$' * 'A_n_vec_n_vec_set$' > $o ).
% 19.13/2.78 tff('predicate_less_eq$a',axiom,
% 19.13/2.78 'less_eq$a'('zero$e','zero$e')
% 19.13/2.78 & ~'less_eq$a'('zero$e',fmb_'A_n_vec_n_vec_set$'_2)
% 19.13/2.78 & 'less_eq$a'('zero$e',fmb_'A_n_vec_n_vec_set$'_3)
% 19.13/2.78 & ~'less_eq$a'(fmb_'A_n_vec_n_vec_set$'_2,'zero$e')
% 19.13/2.78 & 'less_eq$a'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set$'_2)
% 19.13/2.78 & 'less_eq$a'(fmb_'A_n_vec_n_vec_set$'_2,fmb_'A_n_vec_n_vec_set$'_3)
% 19.13/2.78 & ~'less_eq$a'(fmb_'A_n_vec_n_vec_set$'_3,'zero$e')
% 19.13/2.78 & ~'less_eq$a'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set$'_2)
% 19.13/2.78 & 'less_eq$a'(fmb_'A_n_vec_n_vec_set$'_3,fmb_'A_n_vec_n_vec_set$'_3)
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_less_eq$b',type,'less_eq$b': 'A_set$' * 'A_set$' > $o ).
% 19.13/2.78 tff('predicate_less_eq$b',axiom,
% 19.13/2.78 'less_eq$b'('zero$d','zero$d')
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_member$c',type,'member$c': 'A_set$' * 'A_set_set$' > $o ).
% 19.13/2.78 tff('predicate_member$c',axiom,
% 19.13/2.78 ~'member$c'('zero$d',fmb_'A_set_set$'_1)
% 19.13/2.78 & ~'member$c'('zero$d',fmb_'A_set_set$'_2)
% 19.13/2.78 & ~'member$c'('zero$d',fmb_'A_set_set$'_3)
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_member$a',type,'member$a': 'A_n_vec$' * 'A_n_vec_set$' > $o ).
% 19.13/2.78 tff('predicate_member$a',axiom,
% 19.13/2.78 'member$a'('zero$c','zero$f')
% 19.13/2.78 & ~'member$a'('one$a','zero$f')
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 tff('declare_fun_app$',type,'fun_app$': 'A_n_vec_n_vec_bool_fun$' * 'A_n_vec_n_vec$' > $o ).
% 19.13/2.78 tff('predicate_fun_app$',axiom,
% 19.13/2.78 'fun_app$'('invertible$','one$b')
% 19.13/2.78 & ~'fun_app$'('invertible$','zero$a')
% 19.13/2.78 & 'fun_app$'('reduced_row_echelon_form$','one$b')
% 19.13/2.78 & 'fun_app$'('reduced_row_echelon_form$','zero$a')
% 19.13/2.78 & ~'fun_app$'(fmb_'A_n_vec_n_vec_bool_fun$'_3,'one$b')
% 19.13/2.78 & 'fun_app$'(fmb_'A_n_vec_n_vec_bool_fun$'_3,'zero$a')
% 19.13/2.78
% 19.13/2.78 ).
% 19.13/2.78
% 19.13/2.78 % SZS output end FiniteModel for theBenchmark
% 19.13/2.78 % (31910)------------------------------
% 19.13/2.78 % (31910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.13/2.78 % (31910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.13/2.78 % (31910)Termination reason: Satisfiable
% 19.13/2.78
% 19.13/2.78 % (31910)Memory used [KB]: 23155
% 19.13/2.78 % (31910)Time elapsed: 2.169 s
% 19.13/2.78 % (31910)Instructions burned: 1892 (million)
% 19.13/2.78 % (31910)------------------------------
% 19.13/2.78 % (31910)------------------------------
% 19.13/2.78 % (31909)Success in time 2.43 s
%------------------------------------------------------------------------------