%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ045-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:21 PM UTC 2026
% Result : Satisfiable 6.45s 1.89s
% Output : Saturation 6.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(person_is_one_type,axiom,
( a_truth(normal(X0))
| a_truth(liar(X0))
| a_truth(truthteller(X0)) ) ).
cnf(not_truthteller_and_normal,axiom,
( ~ a_truth(normal(X0))
| ~ a_truth(truthteller(X0)) ) ).
cnf(not_truthteller_and_liar,axiom,
( ~ a_truth(liar(X0))
| ~ a_truth(truthteller(X0)) ) ).
cnf(liars_and_normal_lie,axiom,
( ~ a_truth(says(X1,X0))
| a_truth(X0)
| a_truth(liar(X1))
| a_truth(normal(X1)) ) ).
cnf(truthtellers_and_normal_tell_truth,axiom,
( ~ a_truth(says(X1,X0))
| ~ a_truth(X0)
| a_truth(truthteller(X1))
| a_truth(normal(X1)) ) ).
cnf(not_liar_and_normal,axiom,
( ~ a_truth(normal(X0))
| ~ a_truth(liar(X0)) ) ).
cnf(liars_lie,axiom,
( ~ a_truth(says(X0,X1))
| ~ a_truth(liar(X0))
| ~ a_truth(X1) ) ).
cnf(truthtellers_tell_truth,axiom,
( ~ a_truth(says(X0,X1))
| ~ a_truth(truthteller(X0))
| a_truth(X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ045-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:35:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.45/1.89 % (3948384)Input is clausal, will run a generic CNF schedule.
% 6.45/1.89 % (3948441)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1763483975:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.45/1.89 % (3948439)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=598588632:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.45/1.89 % (3948445)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=513830604:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.45/1.89 % (3948443)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1825614441:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.45/1.89 % (3948444)lrs+10_1_sil=8000:sp=occurrence:random_seed=1823608549:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.45/1.89 % (3948445)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948445)------------------------------
% 6.45/1.89 % (3948445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948444)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948444)------------------------------
% 6.45/1.89 % (3948444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948445)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948444)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948445)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948445)Time elapsed: 0.001 s
% 6.45/1.89 % (3948444)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948444)Time elapsed: 0.001 s
% 6.45/1.89 % (3948445)Peak memory usage: 85 MB
% 6.45/1.89 % (3948444)Peak memory usage: 86 MB
% 6.45/1.89 % (3948448)dis-21_1_sil=8000:lcm=predicate:random_seed=1112496518:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.45/1.89 % (3948446)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1586101875:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.45/1.89 % (3948448)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948448)------------------------------
% 6.45/1.89 % (3948448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948448)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948448)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948448)Time elapsed: 0.001 s
% 6.45/1.89 % (3948448)Peak memory usage: 86 MB
% 6.45/1.89 % (3948446)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948446)------------------------------
% 6.45/1.89 % (3948446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948446)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948446)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948446)Time elapsed: 0.001 s
% 6.45/1.89 % (3948446)Peak memory usage: 87 MB
% 6.45/1.89 % (3948445)------------------------------
% 6.45/1.89 % (3948445)------------------------------
% 6.45/1.89 % (3948444)------------------------------
% 6.45/1.89 % (3948444)------------------------------
% 6.45/1.89 % (3948448)------------------------------
% 6.45/1.89 % (3948448)------------------------------
% 6.45/1.89 % (3948446)------------------------------
% 6.45/1.89 % (3948446)------------------------------
% 6.45/1.89 % (3948441)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948441)------------------------------
% 6.45/1.89 % (3948441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948441)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948441)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948441)Time elapsed: 0.343 s
% 6.45/1.89 % (3948441)Peak memory usage: 126 MB
% 6.45/1.89 % (3948441)Instructions burned: 858 (million)
% 6.45/1.89 % (3948542)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3292766347:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.45/1.89 % (3948542)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948542)------------------------------
% 6.45/1.89 % (3948542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948542)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948542)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948542)Time elapsed: 0.0000 s
% 6.45/1.89 % (3948542)Peak memory usage: 86 MB
% 6.45/1.89 % (3948540)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3817411448:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.45/1.89 % (3948541)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=207011877:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 6.45/1.89 % (3948540)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948540)------------------------------
% 6.45/1.89 % (3948540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948540)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948540)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948540)Time elapsed: 0.0000 s
% 6.45/1.89 % (3948540)Peak memory usage: 86 MB
% 6.45/1.89 % (3948541)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948541)------------------------------
% 6.45/1.89 % (3948541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948541)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948541)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948541)Time elapsed: 0.0000 s
% 6.45/1.89 % (3948541)Peak memory usage: 86 MB
% 6.45/1.89 % (3948543)lrs+10_64_to=lpo:sil=8000:random_seed=358087687:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.45/1.89 % (3948543)First to succeed.
% 6.45/1.89 % (3948543)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3948384"
% 6.45/1.89 % (3948542)------------------------------
% 6.45/1.89 % (3948542)------------------------------
% 6.45/1.89 % (3948441)------------------------------
% 6.45/1.89 % (3948441)------------------------------
% 6.45/1.89 % (3948443)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948443)------------------------------
% 6.45/1.89 % (3948443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948443)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948443)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948443)Time elapsed: 0.582 s
% 6.45/1.89 % (3948443)Peak memory usage: 126 MB
% 6.45/1.89 % (3948443)Instructions burned: 857 (million)
% 6.45/1.89 % (3948439)Also succeeded, but the first one will report.
% 6.45/1.89 % (3948541)------------------------------
% 6.45/1.89 % (3948541)------------------------------
% 6.45/1.89 % (3948540)------------------------------
% 6.45/1.89 % (3948540)------------------------------
% 6.45/1.89 % (3948595)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=671264796:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 6.45/1.89 % (3948595)Refutation not found, incomplete strategy
% 6.45/1.89 % (3948595)------------------------------
% 6.45/1.89 % (3948595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948595)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948595)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.89 % (3948595)Time elapsed: 0.0000 s
% 6.45/1.89 % (3948595)Peak memory usage: 87 MB
% 6.45/1.89 % SZS status Satisfiable for theBenchmark
% 6.45/1.89 % SZS output start Saturation.
% See solution above
% 6.45/1.89 % SZS output start Definitions and Model Updates.
% 6.45/1.89 % SZS output end Definitions and Model Updates.
% 6.45/1.89 % (3948543)------------------------------
% 6.45/1.89 % (3948543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.89 % (3948543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.89 % (3948543)CaDiCaL version: 2.1.3
% 6.45/1.89 % (3948543)Termination reason: Satisfiable
% 6.45/1.89 % (3948543)Time elapsed: 0.001 s
% 6.45/1.89 % (3948543)Peak memory usage: 87 MB
% 6.45/1.89 % (3948543)------------------------------
% 6.45/1.89 % (3948543)------------------------------
% 6.45/1.89 % (3948384)Success in time 0.83 s
% 6.45/1.89 % Vampire exiting
%------------------------------------------------------------------------------