%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ044-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 0.15s 1.91s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(truthteller_or_liar,axiom,
( a_truth(liar(X0))
| a_truth(truthteller(X0)) ) ).
cnf(not_both,axiom,
( ~ a_truth(liar(X0))
| ~ a_truth(truthteller(X0)) ) ).
cnf(truthtellers_tell_truth,axiom,
( ~ a_truth(says(X0,X1))
| ~ a_truth(truthteller(X0))
| a_truth(X1) ) ).
cnf(liars_lie,axiom,
( ~ a_truth(says(X0,X1))
| ~ a_truth(liar(X0))
| ~ a_truth(X1) ) ).
cnf(liars_are_told_by_liars,axiom,
( ~ a_truth(says(X1,X0))
| a_truth(X0)
| a_truth(liar(X1)) ) ).
cnf(truths_are_told_by_truthtellers,axiom,
( ~ a_truth(says(X1,X0))
| ~ a_truth(X0)
| a_truth(truthteller(X1)) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ044-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n011.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 22:35:31 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/1.91 % (2822723)Input is clausal, will run a generic CNF schedule.
% 0.15/1.91 % (2822732)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3289125078:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.15/1.91 % (2822732)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822732)------------------------------
% 0.15/1.91 % (2822732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822732)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822732)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822732)Time elapsed: 0.0000 s
% 0.15/1.91 % (2822732)Peak memory usage: 86 MB
% 0.15/1.91 % (2822728)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=533409748:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.15/1.91 % (2822729)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2757766967:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.15/1.91 % (2822731)lrs+10_1_sil=8000:sp=occurrence:random_seed=3466339451:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.15/1.91 % (2822730)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2385259196:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.15/1.91 % (2822734)dis-21_1_sil=8000:lcm=predicate:random_seed=973498639: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)
% 0.15/1.91 % (2822733)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=485471656:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.15/1.91 % (2822731)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822731)------------------------------
% 0.15/1.91 % (2822731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822734)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822734)------------------------------
% 0.15/1.91 % (2822734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822734)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822731)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822731)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822731)Time elapsed: 0.001 s
% 0.15/1.91 % (2822734)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822734)Time elapsed: 0.001 s
% 0.15/1.91 % (2822734)Peak memory usage: 86 MB
% 0.15/1.91 % (2822731)Peak memory usage: 86 MB
% 0.15/1.91 % (2822733)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822733)------------------------------
% 0.15/1.91 % (2822733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822733)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822733)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822733)Time elapsed: 0.001 s
% 0.15/1.91 % (2822733)Peak memory usage: 87 MB
% 0.15/1.91 % (2822732)------------------------------
% 0.15/1.91 % (2822732)------------------------------
% 0.15/1.91 % (2822742)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=1611525724:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.15/1.91 % (2822742)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822742)------------------------------
% 0.15/1.91 % (2822742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822742)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822742)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822742)Time elapsed: 0.0000 s
% 0.15/1.91 % (2822742)Peak memory usage: 86 MB
% 0.15/1.91 % (2822733)------------------------------
% 0.15/1.91 % (2822733)------------------------------
% 0.15/1.91 % (2822734)------------------------------
% 0.15/1.91 % (2822734)------------------------------
% 0.15/1.91 % (2822731)------------------------------
% 0.15/1.91 % (2822731)------------------------------
% 0.15/1.91 % (2822742)------------------------------
% 0.15/1.91 % (2822742)------------------------------
% 0.15/1.91 % (2822745)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=95692222:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 0.15/1.91 % (2822744)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2021150320: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)
% 0.15/1.91 % (2822746)lrs+10_64_to=lpo:sil=8000:random_seed=1745843495:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 0.15/1.91 % (2822745)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822745)------------------------------
% 0.15/1.91 % (2822745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822744)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822744)------------------------------
% 0.15/1.91 % (2822744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822745)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822745)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822745)Time elapsed: 0.0000 s
% 0.15/1.91 % (2822744)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822745)Peak memory usage: 86 MB
% 0.15/1.91 % (2822744)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822744)Time elapsed: 0.0000 s
% 0.15/1.91 % (2822744)Peak memory usage: 86 MB
% 0.15/1.91 % (2822746)First to succeed.
% 0.15/1.91 % (2822746)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2822723"
% 0.15/1.91 % (2822747)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3467742161:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 0.15/1.91 % (2822747)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822747)------------------------------
% 0.15/1.91 % (2822747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822747)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822747)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822747)Time elapsed: 0.001 s
% 0.15/1.91 % (2822747)Peak memory usage: 87 MB
% 0.15/1.91 % (2822728)Also succeeded, but the first one will report.
% 0.15/1.91 % (2822729)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822729)------------------------------
% 0.15/1.91 % (2822729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822729)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822729)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822729)Time elapsed: 0.582 s
% 0.15/1.91 % (2822729)Peak memory usage: 125 MB
% 0.15/1.91 % (2822729)Instructions burned: 857 (million)
% 0.15/1.91 % (2822730)Refutation not found, incomplete strategy
% 0.15/1.91 % (2822730)------------------------------
% 0.15/1.91 % (2822730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822730)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822730)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.91 % (2822730)Time elapsed: 0.583 s
% 0.15/1.91 % (2822730)Peak memory usage: 126 MB
% 0.15/1.91 % (2822730)Instructions burned: 856 (million)
% 0.15/1.91 % (2822745)------------------------------
% 0.15/1.91 % (2822745)------------------------------
% 0.15/1.91 % (2822744)------------------------------
% 0.15/1.91 % (2822744)------------------------------
% 0.15/1.91 % SZS status Satisfiable for theBenchmark
% 0.15/1.91 % SZS output start Saturation.
% See solution above
% 0.15/1.91 % SZS output start Definitions and Model Updates.
% 0.15/1.91 % SZS output end Definitions and Model Updates.
% 0.15/1.91 % (2822746)------------------------------
% 0.15/1.91 % (2822746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.91 % (2822746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.91 % (2822746)CaDiCaL version: 2.1.3
% 0.15/1.91 % (2822746)Termination reason: Satisfiable
% 0.15/1.91 % (2822746)Time elapsed: 0.001 s
% 0.15/1.91 % (2822746)Peak memory usage: 87 MB
% 0.15/1.91 % (2822746)------------------------------
% 0.15/1.91 % (2822746)------------------------------
% 0.15/1.91 % (2822723)Success in time 0.852 s
% 0.15/1.91 % Vampire exiting
%------------------------------------------------------------------------------