TSTP Solution File: LCL966_9 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL966_9 : 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 : n004.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 15:38:45 EDT 2023

% Result   : CounterSatisfiable 2.20s 0.69s
% Output   : FiniteModel 2.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL966_9 : TPTP v8.2.0. Released v8.2.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 22 11:59:53 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (2541)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)
% 0.20/0.50  % (2549)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)
% 0.20/0.50  % (2533)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)
% 0.20/0.51  % (2550)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)
% 0.20/0.51  % (2531)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (2535)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (2529)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)
% 0.20/0.51  % (2534)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (2530)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)
% 0.20/0.52  % (2528)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)
% 0.20/0.52  % (2532)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)
% 0.20/0.52  % (2542)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)
% 0.20/0.52  % (2534)Instruction limit reached!
% 0.20/0.52  % (2534)------------------------------
% 0.20/0.52  % (2534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (2534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (2534)Termination reason: Unknown
% 0.20/0.52  % (2534)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (2534)Memory used [KB]: 5628
% 0.20/0.52  % (2534)Time elapsed: 0.112 s
% 0.20/0.52  % (2534)Instructions burned: 8 (million)
% 0.20/0.52  % (2534)------------------------------
% 0.20/0.52  % (2534)------------------------------
% 0.20/0.52  % (2527)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)
% 0.20/0.53  % (2555)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (2535)Instruction limit reached!
% 0.20/0.53  % (2535)------------------------------
% 0.20/0.53  % (2535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (2535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (2535)Termination reason: Unknown
% 0.20/0.53  % (2535)Termination phase: Preprocessing 3
% 0.20/0.53  
% 0.20/0.53  % (2535)Memory used [KB]: 1023
% 0.20/0.53  % (2535)Time elapsed: 0.002 s
% 0.20/0.53  % (2535)Instructions burned: 3 (million)
% 0.20/0.53  % (2535)------------------------------
% 0.20/0.53  % (2535)------------------------------
% 0.20/0.53  % (2553)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)
% 0.20/0.53  % (2556)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)
% 0.20/0.53  % (2552)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (2551)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (2554)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)
% 0.20/0.54  % (2528)Refutation not found, incomplete strategy% (2528)------------------------------
% 0.20/0.54  % (2528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (2547)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)
% 0.20/0.54  % (2528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (2528)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (2528)Memory used [KB]: 5628
% 0.20/0.54  % (2528)Time elapsed: 0.136 s
% 0.20/0.54  % (2528)Instructions burned: 7 (million)
% 0.20/0.54  % (2528)------------------------------
% 0.20/0.54  % (2528)------------------------------
% 0.20/0.54  % (2545)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (2544)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (2546)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)
% 0.20/0.55  % (2548)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (2539)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (2543)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)
% 0.20/0.55  % (2537)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (2536)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)
% 0.20/0.55  % (2538)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)
% 0.20/0.55  % (2540)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56  % (2533)Instruction limit reached!
% 0.20/0.56  % (2533)------------------------------
% 0.20/0.56  % (2533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (2533)Termination reason: Unknown
% 0.20/0.56  % (2533)Termination phase: Finite model building SAT solving
% 0.20/0.56  
% 0.20/0.56  % (2533)Memory used [KB]: 7419
% 0.20/0.56  % (2533)Time elapsed: 0.097 s
% 0.20/0.56  % (2533)Instructions burned: 52 (million)
% 0.20/0.56  % (2533)------------------------------
% 0.20/0.56  % (2533)------------------------------
% 1.66/0.59  TRYING [1]
% 1.66/0.59  % (2529)Instruction limit reached!
% 1.66/0.59  % (2529)------------------------------
% 1.66/0.59  % (2529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59  % (2529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59  % (2529)Termination reason: Unknown
% 1.66/0.59  % (2529)Termination phase: Saturation
% 1.66/0.59  
% 1.66/0.59  % (2529)Memory used [KB]: 1535
% 1.66/0.59  % (2529)Time elapsed: 0.188 s
% 1.66/0.59  % (2529)Instructions burned: 39 (million)
% 1.66/0.59  % (2529)------------------------------
% 1.66/0.59  % (2529)------------------------------
% 1.66/0.59  TRYING [2]
% 1.89/0.60  % (2532)Instruction limit reached!
% 1.89/0.60  % (2532)------------------------------
% 1.89/0.60  % (2532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60  % (2532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60  % (2532)Termination reason: Unknown
% 1.89/0.60  % (2532)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (2532)Memory used [KB]: 6140
% 1.89/0.60  % (2532)Time elapsed: 0.176 s
% 1.89/0.60  % (2532)Instructions burned: 49 (million)
% 1.89/0.60  % (2532)------------------------------
% 1.89/0.60  % (2532)------------------------------
% 1.89/0.61  TRYING [1]
% 1.89/0.61  TRYING [2]
% 1.89/0.62  % (2530)Instruction limit reached!
% 1.89/0.62  % (2530)------------------------------
% 1.89/0.62  % (2530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (2530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (2530)Termination reason: Unknown
% 1.89/0.62  % (2530)Termination phase: Saturation
% 1.89/0.62  
% 1.89/0.62  % (2530)Memory used [KB]: 6524
% 1.89/0.62  % (2530)Time elapsed: 0.210 s
% 1.89/0.62  % (2530)Instructions burned: 51 (million)
% 1.89/0.62  % (2530)------------------------------
% 1.89/0.62  % (2530)------------------------------
% 1.89/0.62  % (2544)Instruction limit reached!
% 1.89/0.62  % (2544)------------------------------
% 1.89/0.62  % (2544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (2544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (2544)Termination reason: Unknown
% 1.89/0.62  % (2544)Termination phase: Finite model building constraint generation
% 1.89/0.62  
% 1.89/0.62  % (2544)Memory used [KB]: 7675
% 1.89/0.62  % (2544)Time elapsed: 0.195 s
% 1.89/0.62  % (2544)Instructions burned: 60 (million)
% 1.89/0.62  % (2544)------------------------------
% 1.89/0.62  % (2544)------------------------------
% 1.89/0.62  % (2541)Instruction limit reached!
% 1.89/0.62  % (2541)------------------------------
% 1.89/0.62  % (2541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (2541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (2541)Termination reason: Unknown
% 1.89/0.62  % (2541)Termination phase: Saturation
% 1.89/0.62  
% 1.89/0.62  % (2541)Memory used [KB]: 6652
% 1.89/0.62  % (2541)Time elapsed: 0.048 s
% 1.89/0.62  % (2541)Instructions burned: 68 (million)
% 1.89/0.62  % (2541)------------------------------
% 1.89/0.62  % (2541)------------------------------
% 1.89/0.62  % (2531)Instruction limit reached!
% 1.89/0.62  % (2531)------------------------------
% 1.89/0.62  % (2531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62  % (2531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62  % (2531)Termination reason: Unknown
% 1.89/0.62  % (2531)Termination phase: Saturation
% 1.89/0.62  
% 1.89/0.62  % (2531)Memory used [KB]: 6524
% 1.89/0.62  % (2531)Time elapsed: 0.218 s
% 1.89/0.62  % (2531)Instructions burned: 51 (million)
% 1.89/0.62  % (2531)------------------------------
% 1.89/0.62  % (2531)------------------------------
% 1.89/0.63  % (2542)Instruction limit reached!
% 1.89/0.63  % (2542)------------------------------
% 1.89/0.63  % (2542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (2542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (2542)Termination reason: Unknown
% 1.89/0.63  % (2542)Termination phase: Saturation
% 1.89/0.63  
% 1.89/0.63  % (2542)Memory used [KB]: 1918
% 1.89/0.63  % (2542)Time elapsed: 0.211 s
% 1.89/0.63  % (2542)Instructions burned: 75 (million)
% 1.89/0.63  % (2542)------------------------------
% 1.89/0.63  % (2542)------------------------------
% 1.89/0.63  % (2537)Instruction limit reached!
% 1.89/0.63  % (2537)------------------------------
% 1.89/0.63  % (2537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63  % (2537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63  % (2537)Termination reason: Unknown
% 1.89/0.63  % (2537)Termination phase: Saturation
% 1.89/0.63  
% 1.89/0.63  % (2537)Memory used [KB]: 6268
% 1.89/0.63  % (2537)Time elapsed: 0.195 s
% 1.89/0.63  % (2537)Instructions burned: 50 (million)
% 1.89/0.63  % (2537)------------------------------
% 1.89/0.63  % (2537)------------------------------
% 2.20/0.63  % (2536)Instruction limit reached!
% 2.20/0.63  % (2536)------------------------------
% 2.20/0.63  % (2536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.63  % (2536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.63  % (2536)Termination reason: Unknown
% 2.20/0.63  % (2536)Termination phase: Saturation
% 2.20/0.63  
% 2.20/0.63  % (2536)Memory used [KB]: 1407
% 2.20/0.63  % (2536)Time elapsed: 0.217 s
% 2.20/0.63  % (2536)Instructions burned: 53 (million)
% 2.20/0.63  % (2536)------------------------------
% 2.20/0.63  % (2536)------------------------------
% 2.20/0.66  % (2557)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)
% 2.20/0.66  % (2553)Instruction limit reached!
% 2.20/0.66  % (2553)------------------------------
% 2.20/0.66  % (2553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66  % (2553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66  % (2553)Termination reason: Unknown
% 2.20/0.66  % (2553)Termination phase: Saturation
% 2.20/0.66  
% 2.20/0.66  % (2553)Memory used [KB]: 6652
% 2.20/0.66  % (2553)Time elapsed: 0.039 s
% 2.20/0.66  % (2553)Instructions burned: 69 (million)
% 2.20/0.66  % (2553)------------------------------
% 2.20/0.66  % (2553)------------------------------
% 2.20/0.68  % (2559)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 (2998ds/90Mi)
% 2.20/0.69  Finite Model Found!
% 2.20/0.69  % SZS status CounterSatisfiable for theBenchmark
% 2.20/0.69  % (2527)First to succeed.
% 2.20/0.69  % SZS output start FiniteModel for theBenchmark
% 2.20/0.69  tff(declare_$i,type,$i:$tType).
% 2.20/0.69  tff(declare_$i1,type,fmb_$i_1:$i).
% 2.20/0.69  tff(declare_$i2,type,fmb_$i_2:$i).
% 2.20/0.69  tff(finite_domain,axiom,
% 2.20/0.69        ! [X:$i] : (
% 2.20/0.69           X = fmb_$i_1 | X = fmb_$i_2
% 2.20/0.69        ) ).
% 2.20/0.69  
% 2.20/0.69  tff(distinct_domain,axiom,
% 2.20/0.69           fmb_$i_1 != fmb_$i_2
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff(declare_bool,type,$o:$tType).
% 2.20/0.69  tff(declare_bool1,type,fmb_bool_1:$o).
% 2.20/0.69  tff(finite_domain,axiom,
% 2.20/0.69        ! [X:$o] : (
% 2.20/0.69           X = fmb_bool_1
% 2.20/0.69        ) ).
% 2.20/0.69  
% 2.20/0.69  tff('declare_$ki_world',type,'$ki_world':$tType).
% 2.20/0.69  tff('declare_$ki_world1',type,'$ki_local_world':'$ki_world').
% 2.20/0.69  tff('declare_$ki_world2',type,fmb_'$ki_world'_2:'$ki_world').
% 2.20/0.69  tff(finite_domain,axiom,
% 2.20/0.69        ! [X:'$ki_world'] : (
% 2.20/0.69           X = '$ki_local_world' | X = fmb_'$ki_world'_2
% 2.20/0.69        ) ).
% 2.20/0.69  
% 2.20/0.69  tff(distinct_domain,axiom,
% 2.20/0.69           '$ki_local_world' != fmb_'$ki_world'_2
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff(declare_set_intersection2,type,set_intersection2: $i * $i > $i).
% 2.20/0.69  tff(function_set_intersection2,axiom,
% 2.20/0.69             set_intersection2(fmb_$i_1,fmb_$i_1) = fmb_$i_2
% 2.20/0.69           & set_intersection2(fmb_$i_1,fmb_$i_2) = fmb_$i_2
% 2.20/0.69           & set_intersection2(fmb_$i_2,fmb_$i_1) = fmb_$i_2
% 2.20/0.69           & set_intersection2(fmb_$i_2,fmb_$i_2) = fmb_$i_1
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff(declare_singleton,type,singleton: $i > $i).
% 2.20/0.69  tff(function_singleton,axiom,
% 2.20/0.69             singleton(fmb_$i_1) = fmb_$i_2
% 2.20/0.69           & singleton(fmb_$i_2) = fmb_$i_2
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff('declare_$ki_accessible',type,'$ki_accessible': '$ki_world' * '$ki_world' > $o ).
% 2.20/0.69  tff('predicate_$ki_accessible',axiom,
% 2.20/0.69             ~'$ki_accessible'('$ki_local_world','$ki_local_world')
% 2.20/0.69           & '$ki_accessible'('$ki_local_world',fmb_'$ki_world'_2)
% 2.20/0.69           & '$ki_accessible'(fmb_'$ki_world'_2,'$ki_local_world')
% 2.20/0.69           & ~'$ki_accessible'(fmb_'$ki_world'_2,fmb_'$ki_world'_2)
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff(declare_qmltpeq,type,qmltpeq: '$ki_world' * $i * $i > $o ).
% 2.20/0.69  tff(predicate_qmltpeq,axiom,
% 2.20/0.69             qmltpeq('$ki_local_world',fmb_$i_1,fmb_$i_1)
% 2.20/0.69           & ~qmltpeq('$ki_local_world',fmb_$i_1,fmb_$i_2)
% 2.20/0.69           & ~qmltpeq('$ki_local_world',fmb_$i_2,fmb_$i_1)
% 2.20/0.69           & ~qmltpeq('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 2.20/0.69           & ~qmltpeq(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_1)
% 2.20/0.69           & ~qmltpeq(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_2)
% 2.20/0.69           & qmltpeq(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_1)
% 2.20/0.69           & qmltpeq(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_2)
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff(declare_in,type,in: '$ki_world' * $i * $i > $o ).
% 2.20/0.69  tff(predicate_in,axiom,
% 2.20/0.69             ~in('$ki_local_world',fmb_$i_1,fmb_$i_1)
% 2.20/0.69           & ~in('$ki_local_world',fmb_$i_1,fmb_$i_2)
% 2.20/0.69           & ~in('$ki_local_world',fmb_$i_2,fmb_$i_1)
% 2.20/0.69           & ~in('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 2.20/0.69           & in(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_1)
% 2.20/0.69           & in(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_2)
% 2.20/0.69           & in(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_1)
% 2.20/0.69           & in(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_2)
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff(declare_disjoint,type,disjoint: '$ki_world' * $i * $i > $o ).
% 2.20/0.69  tff(predicate_disjoint,axiom,
% 2.20/0.69             disjoint('$ki_local_world',fmb_$i_1,fmb_$i_1)
% 2.20/0.69           & disjoint('$ki_local_world',fmb_$i_1,fmb_$i_2)
% 2.20/0.69           & disjoint('$ki_local_world',fmb_$i_2,fmb_$i_1)
% 2.20/0.69           & disjoint('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 2.20/0.69           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_1)
% 2.20/0.69           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_2)
% 2.20/0.69           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_1)
% 2.20/0.69           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_2)
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff(declare_empty,type,empty: '$ki_world' * $i > $o ).
% 2.20/0.69  tff(predicate_empty,axiom,
% 2.20/0.69             empty('$ki_local_world',fmb_$i_1)
% 2.20/0.69           & ~empty('$ki_local_world',fmb_$i_2)
% 2.20/0.69           & empty(fmb_'$ki_world'_2,fmb_$i_1)
% 2.20/0.69           & empty(fmb_'$ki_world'_2,fmb_$i_2)
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': '$ki_world' * $i > $o ).
% 2.20/0.69  tff('predicate_$ki_exists_in_world_$i',axiom,
% 2.20/0.69             ~'$ki_exists_in_world_$i'('$ki_local_world',fmb_$i_1)
% 2.20/0.69           & '$ki_exists_in_world_$i'('$ki_local_world',fmb_$i_2)
% 2.20/0.69           & '$ki_exists_in_world_$i'(fmb_'$ki_world'_2,fmb_$i_1)
% 2.20/0.69           & ~'$ki_exists_in_world_$i'(fmb_'$ki_world'_2,fmb_$i_2)
% 2.20/0.69  
% 2.20/0.69  ).
% 2.20/0.69  
% 2.20/0.69  % SZS output end FiniteModel for theBenchmark
% 2.20/0.69  % (2527)------------------------------
% 2.20/0.69  % (2527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.69  % (2527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.69  % (2527)Termination reason: Satisfiable
% 2.20/0.69  
% 2.20/0.69  % (2527)Memory used [KB]: 8699
% 2.20/0.69  % (2527)Time elapsed: 0.220 s
% 2.20/0.69  % (2527)Instructions burned: 111 (million)
% 2.20/0.69  % (2527)------------------------------
% 2.20/0.69  % (2527)------------------------------
% 2.20/0.69  % (2526)Success in time 0.327 s
%------------------------------------------------------------------------------