TSTP Solution File: GRP025-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP025-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n019.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 : Wed Aug 31 16:19:08 EDT 2022
% Result : Satisfiable 1.57s 0.63s
% Output : FiniteModel 2.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP025-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:11:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (12767)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 % (12749)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (12754)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)
% 0.19/0.52 % (12740)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)
% 0.19/0.52 % (12739)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)
% 0.19/0.52 % (12761)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)
% 0.19/0.52 % (12743)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (12759)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)
% 0.19/0.53 % (12753)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)
% 0.19/0.53 % (12742)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)
% 0.19/0.53 % (12746)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (12744)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)
% 0.19/0.53 % (12765)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)
% 0.19/0.53 % (12740)Refutation not found, incomplete strategy% (12740)------------------------------
% 0.19/0.53 % (12740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12740)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (12740)Memory used [KB]: 5500
% 0.19/0.53 % (12740)Time elapsed: 0.128 s
% 0.19/0.53 % (12740)Instructions burned: 11 (million)
% 0.19/0.53 % (12740)------------------------------
% 0.19/0.53 % (12740)------------------------------
% 0.19/0.53 % (12752)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (12745)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)
% 1.36/0.54 % (12760)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.36/0.54 TRYING [4]
% 1.36/0.54 % (12757)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.54 % (12755)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)
% 1.36/0.54 % (12762)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)
% 1.36/0.54 % (12750)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)
% 1.36/0.54 % (12763)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.36/0.54 % (12751)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.36/0.54 % (12766)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)
% 1.36/0.54 % (12748)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)
% 1.36/0.54 TRYING [4]
% 1.36/0.55 % (12746)Instruction limit reached!
% 1.36/0.55 % (12746)------------------------------
% 1.36/0.55 % (12746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (12768)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)
% 1.36/0.55 % (12746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.55 % (12746)Termination reason: Unknown
% 1.36/0.55 % (12746)Termination phase: Saturation
% 1.36/0.55
% 1.36/0.55 % (12746)Memory used [KB]: 5500
% 1.36/0.55 % (12746)Time elapsed: 0.130 s
% 1.36/0.55 % (12764)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.36/0.55 % (12741)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)
% 1.36/0.55 % (12758)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)
% 1.36/0.55 % (12747)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.55 % (12747)Instruction limit reached!
% 1.36/0.55 % (12747)------------------------------
% 1.36/0.55 % (12747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (12747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.55 % (12747)Termination reason: Unknown
% 1.36/0.55 % (12747)Termination phase: Saturation
% 1.36/0.55
% 1.36/0.55 % (12747)Memory used [KB]: 895
% 1.36/0.55 % (12747)Time elapsed: 0.004 s
% 1.36/0.55 % (12747)Instructions burned: 2 (million)
% 1.36/0.55 % (12747)------------------------------
% 1.36/0.55 % (12747)------------------------------
% 1.36/0.55 % (12756)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.57/0.56 TRYING [4]
% 1.57/0.56 % (12746)Instructions burned: 7 (million)
% 1.57/0.56 % (12746)------------------------------
% 1.57/0.56 % (12746)------------------------------
% 1.57/0.59 % (12745)Instruction limit reached!
% 1.57/0.59 % (12745)------------------------------
% 1.57/0.59 % (12745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (12741)Instruction limit reached!
% 1.57/0.60 % (12741)------------------------------
% 1.57/0.60 % (12741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61 % (12745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61 % (12745)Termination reason: Unknown
% 1.57/0.61 % (12745)Termination phase: Finite model building SAT solving
% 1.57/0.61
% 1.57/0.61 % (12745)Memory used [KB]: 8315
% 1.57/0.61 % (12745)Time elapsed: 0.114 s
% 1.57/0.61 % (12745)Instructions burned: 52 (million)
% 1.57/0.61 % (12745)------------------------------
% 1.57/0.61 % (12745)------------------------------
% 1.57/0.61 Finite Model Found!
% 1.57/0.61 % (12741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61 % (12741)Termination reason: Unknown
% 1.57/0.61 % (12741)Termination phase: Saturation
% 1.57/0.61
% 1.57/0.61 % (12741)Memory used [KB]: 1407
% 1.57/0.61 % (12741)Time elapsed: 0.158 s
% 1.57/0.61 % (12741)Instructions burned: 38 (million)
% 1.57/0.61 % (12741)------------------------------
% 1.57/0.61 % (12741)------------------------------
% 1.57/0.61 % (12742)Instruction limit reached!
% 1.57/0.61 % (12742)------------------------------
% 1.57/0.61 % (12742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.62 % (12753)Instruction limit reached!
% 1.57/0.62 % (12753)------------------------------
% 1.57/0.62 % (12753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.63 % (12749)Instruction limit reached!
% 1.57/0.63 % (12749)------------------------------
% 1.57/0.63 % (12749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.63 % SZS status Satisfiable for theBenchmark
% 1.57/0.63 % (12739)First to succeed.
% 1.57/0.63 % (12756)Instruction limit reached!
% 1.57/0.63 % (12756)------------------------------
% 1.57/0.63 % (12756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.63 % (12756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.63 % (12756)Termination reason: Unknown
% 1.57/0.63 % (12756)Termination phase: Finite model building SAT solving
% 1.57/0.63
% 1.57/0.63 % (12756)Memory used [KB]: 8443
% 1.57/0.63 % (12756)Time elapsed: 0.188 s
% 1.57/0.63 % (12756)Instructions burned: 59 (million)
% 1.57/0.63 % (12756)------------------------------
% 1.57/0.63 % (12756)------------------------------
% 1.57/0.63 % (12743)Instruction limit reached!
% 1.57/0.63 % (12743)------------------------------
% 1.57/0.63 % (12743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.63 % (12743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.63 % (12743)Termination reason: Unknown
% 1.57/0.63 % (12743)Termination phase: Saturation
% 1.57/0.63
% 1.57/0.63 % (12743)Memory used [KB]: 5884
% 1.57/0.63 % (12743)Time elapsed: 0.225 s
% 1.57/0.63 % (12743)Instructions burned: 53 (million)
% 1.57/0.63 % (12743)------------------------------
% 1.57/0.63 % (12743)------------------------------
% 2.16/0.63 % SZS output start FiniteModel for theBenchmark
% 2.16/0.63 tff(declare_$i,type,$i:$tType).
% 2.16/0.63 tff(declare_$i1,type,g1:$i).
% 2.16/0.63 tff(declare_$i2,type,g2:$i).
% 2.16/0.63 tff(declare_$i3,type,g1:$i).
% 2.16/0.63 tff(declare_$i4,type,d:$i).
% 2.16/0.63 tff(finite_domain,axiom,
% 2.16/0.63 ! [X:$i] : (
% 2.16/0.63 X = g1 | X = g2 | X = g1 | X = d
% 2.16/0.63 ) ).
% 2.16/0.63
% 2.16/0.63 tff(distinct_domain,axiom,
% 2.16/0.63 g1 != g2 & g1 != g1 & g1 != d & g2 != g1 & g2 != d &
% 2.16/0.63 g1 != d
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 tff(declare_bool,type,$o:$tType).
% 2.16/0.63 tff(declare_bool1,type,fmb_bool_1:$o).
% 2.16/0.63 tff(finite_domain,axiom,
% 2.16/0.63 ! [X:$o] : (
% 2.16/0.63 X = fmb_bool_1
% 2.16/0.63 ) ).
% 2.16/0.63
% 2.16/0.63 tff(declare_a,type,a:$i).
% 2.16/0.63 tff(a_definition,axiom,a = g1).
% 2.16/0.63 tff(declare_b,type,b:$i).
% 2.16/0.63 tff(b_definition,axiom,b = g2).
% 2.16/0.63 tff(declare_c,type,c:$i).
% 2.16/0.63 tff(c_definition,axiom,c = g1).
% 2.16/0.63 tff(declare_d1,type,d1:$i).
% 2.16/0.63 tff(d1_definition,axiom,d1 = g2).
% 2.16/0.63 tff(declare_d2,type,d2:$i).
% 2.16/0.63 tff(d2_definition,axiom,d2 = g1).
% 2.16/0.63 tff(declare_d3,type,d3:$i).
% 2.16/0.63 tff(d3_definition,axiom,d3 = g2).
% 2.16/0.63 tff(declare_identity_for,type,identity_for: $i > $i).
% 2.16/0.63 tff(function_identity_for,axiom,
% 2.16/0.63 identity_for(g1) = g1
% 2.16/0.63 & identity_for(g2) = g1
% 2.16/0.63 % identity_for(g1) undefined in model
% 2.16/0.63 % identity_for(d) undefined in model
% 2.16/0.63
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 tff(declare_inverse,type,inverse: $i * $i > $i).
% 2.16/0.63 tff(function_inverse,axiom,
% 2.16/0.63 inverse(g1,g1) = g1
% 2.16/0.63 & inverse(g1,g2) = g2
% 2.16/0.63 & inverse(g1,g1) = d
% 2.16/0.63 & inverse(g1,d) = g1
% 2.16/0.63 & inverse(g2,g1) = g2
% 2.16/0.63 & inverse(g2,g2) = g1
% 2.16/0.63 & inverse(g2,g1) = g1
% 2.16/0.63 & inverse(g2,d) = d
% 2.16/0.63 % inverse(g1,g1) undefined in model
% 2.16/0.63 % inverse(g1,g2) undefined in model
% 2.16/0.63 % inverse(g1,g1) undefined in model
% 2.16/0.63 % inverse(g1,d) undefined in model
% 2.16/0.63 % inverse(d,g1) undefined in model
% 2.16/0.63 % inverse(d,g2) undefined in model
% 2.16/0.63 % inverse(d,g1) undefined in model
% 2.16/0.63 % inverse(d,d) undefined in model
% 2.16/0.63
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 tff(declare_multiply,type,multiply: $i * $i * $i > $i).
% 2.16/0.63 tff(function_multiply,axiom,
% 2.16/0.63 multiply(g1,g1,g1) = g1
% 2.16/0.63 & multiply(g1,g1,g2) = g2
% 2.16/0.63 & multiply(g1,g1,g1) = g2
% 2.16/0.63 & multiply(g1,g1,d) = g1
% 2.16/0.63 & multiply(g1,g2,g1) = g2
% 2.16/0.63 & multiply(g1,g2,g2) = g1
% 2.16/0.63 & multiply(g1,g2,g1) = g2
% 2.16/0.63 & multiply(g1,g2,d) = g1
% 2.16/0.63 & multiply(g1,g1,g1) = d
% 2.16/0.63 & multiply(g1,g1,g2) = g2
% 2.16/0.63 & multiply(g1,g1,g1) = d
% 2.16/0.63 & multiply(g1,g1,d) = g1
% 2.16/0.63 & multiply(g1,d,g1) = d
% 2.16/0.63 & multiply(g1,d,g2) = g2
% 2.16/0.63 & multiply(g1,d,g1) = d
% 2.16/0.63 & multiply(g1,d,d) = g1
% 2.16/0.63 & multiply(g2,g1,g1) = d
% 2.16/0.63 & multiply(g2,g1,g2) = d
% 2.16/0.63 & multiply(g2,g1,g1) = d
% 2.16/0.63 & multiply(g2,g1,d) = g1
% 2.16/0.63 & multiply(g2,g2,g1) = g1
% 2.16/0.63 & multiply(g2,g2,g2) = d
% 2.16/0.63 & multiply(g2,g2,g1) = d
% 2.16/0.63 & multiply(g2,g2,d) = d
% 2.16/0.63 & multiply(g2,g1,g1) = g2
% 2.16/0.63 & multiply(g2,g1,g2) = d
% 2.16/0.63 & multiply(g2,g1,g1) = g1
% 2.16/0.63 & multiply(g2,g1,d) = d
% 2.16/0.63 & multiply(g2,d,g1) = g2
% 2.16/0.63 & multiply(g2,d,g2) = g2
% 2.16/0.63 & multiply(g2,d,g1) = d
% 2.16/0.63 & multiply(g2,d,d) = g1
% 2.16/0.63 % multiply(g1,g1,g1) undefined in model
% 2.16/0.63 % multiply(g1,g1,g2) undefined in model
% 2.16/0.63 % multiply(g1,g1,g1) undefined in model
% 2.16/0.63 % multiply(g1,g1,d) undefined in model
% 2.16/0.63 % multiply(g1,g2,g1) undefined in model
% 2.16/0.63 % multiply(g1,g2,g2) undefined in model
% 2.16/0.63 % multiply(g1,g2,g1) undefined in model
% 2.16/0.63 % multiply(g1,g2,d) undefined in model
% 2.16/0.63 % multiply(g1,g1,g1) undefined in model
% 2.16/0.63 % multiply(g1,g1,g2) undefined in model
% 2.16/0.63 % multiply(g1,g1,g1) undefined in model
% 2.16/0.63 % multiply(g1,g1,d) undefined in model
% 2.16/0.63 % multiply(g1,d,g1) undefined in model
% 2.16/0.63 % multiply(g1,d,g2) undefined in model
% 2.16/0.63 % multiply(g1,d,g1) undefined in model
% 2.16/0.63 % multiply(g1,d,d) undefined in model
% 2.16/0.63 % multiply(d,g1,g1) undefined in model
% 2.16/0.63 % multiply(d,g1,g2) undefined in model
% 2.16/0.63 % multiply(d,g1,g1) undefined in model
% 2.16/0.63 % multiply(d,g1,d) undefined in model
% 2.16/0.63 % multiply(d,g2,g1) undefined in model
% 2.16/0.63 % multiply(d,g2,g2) undefined in model
% 2.16/0.63 % multiply(d,g2,g1) undefined in model
% 2.16/0.63 % multiply(d,g2,d) undefined in model
% 2.16/0.63 % multiply(d,g1,g1) undefined in model
% 2.16/0.63 % multiply(d,g1,g2) undefined in model
% 2.16/0.63 % multiply(d,g1,g1) undefined in model
% 2.16/0.63 % multiply(d,g1,d) undefined in model
% 2.16/0.63 % multiply(d,d,g1) undefined in model
% 2.16/0.63 % multiply(d,d,g2) undefined in model
% 2.16/0.63 % multiply(d,d,g1) undefined in model
% 2.16/0.63 % multiply(d,d,d) undefined in model
% 2.16/0.63
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 tff(declare_isomorphism1,type,isomorphism1: $i > $i).
% 2.16/0.63 tff(function_isomorphism1,axiom,
% 2.16/0.63 isomorphism1(g1) = g1
% 2.16/0.63 & isomorphism1(g2) = d
% 2.16/0.63 & isomorphism1(g1) = g1
% 2.16/0.63 & isomorphism1(d) = g1
% 2.16/0.63
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 tff(declare_isomorphism2,type,isomorphism2: $i > $i).
% 2.16/0.63 tff(function_isomorphism2,axiom,
% 2.16/0.63 isomorphism2(g1) = d
% 2.16/0.63 & isomorphism2(g2) = g1
% 2.16/0.63 & isomorphism2(g1) = g1
% 2.16/0.63 & isomorphism2(d) = g1
% 2.16/0.63
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 tff(declare_group_member,type,group_member: $i * $i > $o ).
% 2.16/0.63 tff(predicate_group_member,axiom,
% 2.16/0.63 group_member(g1,g1)
% 2.16/0.63 & ~group_member(g1,g2)
% 2.16/0.63 & ~group_member(g1,g1)
% 2.16/0.63 % group_member(g1,d) undefined in model
% 2.16/0.63 & group_member(g2,g1)
% 2.16/0.63 & ~group_member(g2,g2)
% 2.16/0.63 % group_member(g2,g1) undefined in model
% 2.16/0.63 % group_member(g2,d) undefined in model
% 2.16/0.63 & ~group_member(g1,g1)
% 2.16/0.63 & group_member(g1,g2)
% 2.16/0.63 % group_member(g1,g1) undefined in model
% 2.16/0.63 % group_member(g1,d) undefined in model
% 2.16/0.63 & ~group_member(d,g1)
% 2.16/0.63 & group_member(d,g2)
% 2.16/0.63 % group_member(d,g1) undefined in model
% 2.16/0.63 % group_member(d,d) undefined in model
% 2.16/0.63
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 tff(declare_product,type,product: $i * $i * $i * $i > $o ).
% 2.16/0.63 tff(predicate_product,axiom,
% 2.16/0.63 product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & product(g1,g1,g2,g2)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & ~product(g1,g1,g2,d)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & ~product(g1,g1,d,g1)
% 2.16/0.63 & ~product(g1,g1,d,g2)
% 2.16/0.63 & ~product(g1,g1,d,g1)
% 2.16/0.63 & product(g1,g1,d,d)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & product(g1,g2,g1,g2)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & ~product(g1,g2,g1,d)
% 2.16/0.63 & product(g1,g2,g2,g1)
% 2.16/0.63 & ~product(g1,g2,g2,g2)
% 2.16/0.63 & ~product(g1,g2,g2,g1)
% 2.16/0.63 & ~product(g1,g2,g2,d)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & ~product(g1,g2,g1,g2)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & ~product(g1,g2,g1,d)
% 2.16/0.63 & ~product(g1,g2,d,g1)
% 2.16/0.63 & ~product(g1,g2,d,g2)
% 2.16/0.63 & ~product(g1,g2,d,g1)
% 2.16/0.63 & ~product(g1,g2,d,d)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & ~product(g1,g1,g2,g2)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & ~product(g1,g1,g2,d)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & product(g1,g1,d,g1)
% 2.16/0.63 & ~product(g1,g1,d,g2)
% 2.16/0.63 & ~product(g1,g1,d,g1)
% 2.16/0.63 & ~product(g1,g1,d,d)
% 2.16/0.63 & ~product(g1,d,g1,g1)
% 2.16/0.63 & ~product(g1,d,g1,g2)
% 2.16/0.63 & ~product(g1,d,g1,g1)
% 2.16/0.63 & product(g1,d,g1,d)
% 2.16/0.63 & ~product(g1,d,g2,g1)
% 2.16/0.63 & ~product(g1,d,g2,g2)
% 2.16/0.63 & ~product(g1,d,g2,g1)
% 2.16/0.63 & ~product(g1,d,g2,d)
% 2.16/0.63 & product(g1,d,g1,g1)
% 2.16/0.63 & ~product(g1,d,g1,g2)
% 2.16/0.63 & ~product(g1,d,g1,g1)
% 2.16/0.63 & ~product(g1,d,g1,d)
% 2.16/0.63 & ~product(g1,d,d,g1)
% 2.16/0.63 & ~product(g1,d,d,g2)
% 2.16/0.63 & ~product(g1,d,d,g1)
% 2.16/0.63 & ~product(g1,d,d,d)
% 2.16/0.63 & ~product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,g2)
% 2.16/0.63 & ~product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,d)
% 2.16/0.63 & ~product(g2,g1,g2,g1)
% 2.16/0.63 & ~product(g2,g1,g2,g2)
% 2.16/0.63 & product(g2,g1,g2,g1)
% 2.16/0.63 & ~product(g2,g1,g2,d)
% 2.16/0.63 & product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,g2)
% 2.16/0.63 & ~product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,d)
% 2.16/0.63 & ~product(g2,g1,d,g1)
% 2.16/0.63 & ~product(g2,g1,d,g2)
% 2.16/0.63 & ~product(g2,g1,d,g1)
% 2.16/0.63 & ~product(g2,g1,d,d)
% 2.16/0.63 & ~product(g2,g2,g1,g1)
% 2.16/0.63 & ~product(g2,g2,g1,g2)
% 2.16/0.63 & product(g2,g2,g1,g1)
% 2.16/0.63 & ~product(g2,g2,g1,d)
% 2.16/0.63 & ~product(g2,g2,g2,g1)
% 2.16/0.63 & ~product(g2,g2,g2,g2)
% 2.16/0.63 & ~product(g2,g2,g2,g1)
% 2.16/0.63 & ~product(g2,g2,g2,d)
% 2.16/0.63 & ~product(g2,g2,g1,g1)
% 2.16/0.63 & product(g2,g2,g1,g2)
% 2.16/0.63 & ~product(g2,g2,g1,g1)
% 2.16/0.63 & ~product(g2,g2,g1,d)
% 2.16/0.63 & ~product(g2,g2,d,g1)
% 2.16/0.63 & ~product(g2,g2,d,g2)
% 2.16/0.63 & ~product(g2,g2,d,g1)
% 2.16/0.63 & ~product(g2,g2,d,d)
% 2.16/0.63 & product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,g2)
% 2.16/0.63 & ~product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,d)
% 2.16/0.63 & ~product(g2,g1,g2,g1)
% 2.16/0.63 & product(g2,g1,g2,g2)
% 2.16/0.63 & ~product(g2,g1,g2,g1)
% 2.16/0.63 & ~product(g2,g1,g2,d)
% 2.16/0.63 & ~product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,g2)
% 2.16/0.63 & product(g2,g1,g1,g1)
% 2.16/0.63 & ~product(g2,g1,g1,d)
% 2.16/0.63 & ~product(g2,g1,d,g1)
% 2.16/0.63 & ~product(g2,g1,d,g2)
% 2.16/0.63 & ~product(g2,g1,d,g1)
% 2.16/0.63 & product(g2,g1,d,d)
% 2.16/0.63 & ~product(g2,d,g1,g1)
% 2.16/0.63 & ~product(g2,d,g1,g2)
% 2.16/0.63 & ~product(g2,d,g1,g1)
% 2.16/0.63 & ~product(g2,d,g1,d)
% 2.16/0.63 & ~product(g2,d,g2,g1)
% 2.16/0.63 & ~product(g2,d,g2,g2)
% 2.16/0.63 & ~product(g2,d,g2,g1)
% 2.16/0.63 & ~product(g2,d,g2,d)
% 2.16/0.63 & ~product(g2,d,g1,g1)
% 2.16/0.63 & ~product(g2,d,g1,g2)
% 2.16/0.63 & ~product(g2,d,g1,g1)
% 2.16/0.63 & product(g2,d,g1,d)
% 2.16/0.63 & ~product(g2,d,d,g1)
% 2.16/0.63 & ~product(g2,d,d,g2)
% 2.16/0.63 & product(g2,d,d,g1)
% 2.16/0.63 & ~product(g2,d,d,d)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & ~product(g1,g1,g2,g2)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & ~product(g1,g1,g2,d)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & ~product(g1,g1,d,g1)
% 2.16/0.63 & ~product(g1,g1,d,g2)
% 2.16/0.63 & ~product(g1,g1,d,g1)
% 2.16/0.63 & ~product(g1,g1,d,d)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & ~product(g1,g2,g1,g2)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & ~product(g1,g2,g1,d)
% 2.16/0.63 & ~product(g1,g2,g2,g1)
% 2.16/0.63 & ~product(g1,g2,g2,g2)
% 2.16/0.63 & ~product(g1,g2,g2,g1)
% 2.16/0.63 & ~product(g1,g2,g2,d)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & ~product(g1,g2,g1,g2)
% 2.16/0.63 & ~product(g1,g2,g1,g1)
% 2.16/0.63 & ~product(g1,g2,g1,d)
% 2.16/0.63 & ~product(g1,g2,d,g1)
% 2.16/0.63 & ~product(g1,g2,d,g2)
% 2.16/0.63 & ~product(g1,g2,d,g1)
% 2.16/0.63 & ~product(g1,g2,d,d)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & ~product(g1,g1,g2,g2)
% 2.16/0.63 & ~product(g1,g1,g2,g1)
% 2.16/0.63 & ~product(g1,g1,g2,d)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,g2)
% 2.16/0.63 & ~product(g1,g1,g1,g1)
% 2.16/0.63 & ~product(g1,g1,g1,d)
% 2.16/0.63 & ~product(g1,g1,d,g1)
% 2.16/0.63 & ~product(g1,g1,d,g2)
% 2.16/0.63 & ~product(g1,g1,d,g1)
% 2.16/0.63 & ~product(g1,g1,d,d)
% 2.16/0.63 & ~product(g1,d,g1,g1)
% 2.16/0.63 & ~product(g1,d,g1,g2)
% 2.16/0.63 & ~product(g1,d,g1,g1)
% 2.16/0.63 & ~product(g1,d,g1,d)
% 2.16/0.63 & ~product(g1,d,g2,g1)
% 2.16/0.63 & ~product(g1,d,g2,g2)
% 2.16/0.63 & ~product(g1,d,g2,g1)
% 2.16/0.63 & ~product(g1,d,g2,d)
% 2.16/0.63 & ~product(g1,d,g1,g1)
% 2.16/0.63 & ~product(g1,d,g1,g2)
% 2.16/0.63 & ~product(g1,d,g1,g1)
% 2.16/0.63 & ~product(g1,d,g1,d)
% 2.16/0.63 & ~product(g1,d,d,g1)
% 2.16/0.63 & ~product(g1,d,d,g2)
% 2.16/0.63 & ~product(g1,d,d,g1)
% 2.16/0.63 & ~product(g1,d,d,d)
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,g2) undefined in model
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,d) undefined in model
% 2.16/0.63 % product(d,g1,g2,g1) undefined in model
% 2.16/0.63 % product(d,g1,g2,g2) undefined in model
% 2.16/0.63 % product(d,g1,g2,g1) undefined in model
% 2.16/0.63 % product(d,g1,g2,d) undefined in model
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,g2) undefined in model
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,d) undefined in model
% 2.16/0.63 % product(d,g1,d,g1) undefined in model
% 2.16/0.63 % product(d,g1,d,g2) undefined in model
% 2.16/0.63 % product(d,g1,d,g1) undefined in model
% 2.16/0.63 % product(d,g1,d,d) undefined in model
% 2.16/0.63 % product(d,g2,g1,g1) undefined in model
% 2.16/0.63 % product(d,g2,g1,g2) undefined in model
% 2.16/0.63 % product(d,g2,g1,g1) undefined in model
% 2.16/0.63 % product(d,g2,g1,d) undefined in model
% 2.16/0.63 % product(d,g2,g2,g1) undefined in model
% 2.16/0.63 % product(d,g2,g2,g2) undefined in model
% 2.16/0.63 % product(d,g2,g2,g1) undefined in model
% 2.16/0.63 % product(d,g2,g2,d) undefined in model
% 2.16/0.63 % product(d,g2,g1,g1) undefined in model
% 2.16/0.63 % product(d,g2,g1,g2) undefined in model
% 2.16/0.63 % product(d,g2,g1,g1) undefined in model
% 2.16/0.63 % product(d,g2,g1,d) undefined in model
% 2.16/0.63 % product(d,g2,d,g1) undefined in model
% 2.16/0.63 % product(d,g2,d,g2) undefined in model
% 2.16/0.63 % product(d,g2,d,g1) undefined in model
% 2.16/0.63 % product(d,g2,d,d) undefined in model
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,g2) undefined in model
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,d) undefined in model
% 2.16/0.63 % product(d,g1,g2,g1) undefined in model
% 2.16/0.63 % product(d,g1,g2,g2) undefined in model
% 2.16/0.63 % product(d,g1,g2,g1) undefined in model
% 2.16/0.63 % product(d,g1,g2,d) undefined in model
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,g2) undefined in model
% 2.16/0.63 % product(d,g1,g1,g1) undefined in model
% 2.16/0.63 % product(d,g1,g1,d) undefined in model
% 2.16/0.63 % product(d,g1,d,g1) undefined in model
% 2.16/0.63 % product(d,g1,d,g2) undefined in model
% 2.16/0.63 % product(d,g1,d,g1) undefined in model
% 2.16/0.63 % product(d,g1,d,d) undefined in model
% 2.16/0.63 % product(d,d,g1,g1) undefined in model
% 2.16/0.63 % product(d,d,g1,g2) undefined in model
% 2.16/0.63 % product(d,d,g1,g1) undefined in model
% 2.16/0.63 % product(d,d,g1,d) undefined in model
% 2.16/0.63 % product(d,d,g2,g1) undefined in model
% 2.16/0.63 % product(d,d,g2,g2) undefined in model
% 2.16/0.63 % product(d,d,g2,g1) undefined in model
% 2.16/0.63 % product(d,d,g2,d) undefined in model
% 2.16/0.63 % product(d,d,g1,g1) undefined in model
% 2.16/0.63 % product(d,d,g1,g2) undefined in model
% 2.16/0.63 % product(d,d,g1,g1) undefined in model
% 2.16/0.63 % product(d,d,g1,d) undefined in model
% 2.16/0.63 % product(d,d,d,g1) undefined in model
% 2.16/0.63 % product(d,d,d,g2) undefined in model
% 2.16/0.63 % product(d,d,d,g1) undefined in model
% 2.16/0.63 % product(d,d,d,d) undefined in model
% 2.16/0.63
% 2.16/0.63 ).
% 2.16/0.63
% 2.16/0.63 % SZS output end FiniteModel for theBenchmark
% 2.16/0.63 % (12739)------------------------------
% 2.16/0.63 % (12739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63 % (12739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.63 % (12739)Termination reason: Satisfiable
% 2.16/0.63
% 2.16/0.63 % (12739)Memory used [KB]: 8571
% 2.16/0.63 % (12739)Time elapsed: 0.166 s
% 2.16/0.63 % (12739)Instructions burned: 67 (million)
% 2.16/0.63 % (12739)------------------------------
% 2.16/0.63 % (12739)------------------------------
% 2.16/0.63 % (12738)Success in time 0.279 s
%------------------------------------------------------------------------------