%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWC004-2 : 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 : n007.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 10:19:22 AM UTC 2026
% Result : Satisfiable 2.24s 1.49s
% Output : Saturation 2.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u14,axiom,
n0 = not(n1) ).
cnf(u19,axiom,
n1 = not(n0) ).
cnf(u2,axiom,
n0 = and(X0,n0) ).
cnf(and_definition2,axiom,
and(X0,n1) = X0 ).
cnf(or_definition1,axiom,
or(X0,n0) = X0 ).
cnf(u6,axiom,
n1 = or(X0,n1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWC004-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.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 10:49:55 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.24/1.49 % (1236763)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.24/1.49 % (1236774)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2775846246:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.24/1.49 % (1236771)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1658607009:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.24/1.49 % (1236769)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1419074084:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.24/1.49 % (1236773)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3043905354:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.24/1.49 % (1236772)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2192413225:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.24/1.49 % (1236768)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=114159261:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.24/1.49 % (1236770)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=894217889:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.24/1.49 % (1236774)Refutation not found, incomplete strategy
% 2.24/1.49 % (1236774)------------------------------
% 2.24/1.49 % (1236774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236774)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236774)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.49 % (1236774)Time elapsed: 0.0000 s
% 2.24/1.49 % (1236774)Peak memory usage: 86 MB
% 2.24/1.49 % (1236771)Refutation not found, incomplete strategy
% 2.24/1.49 % (1236771)------------------------------
% 2.24/1.49 % (1236771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236771)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236771)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.49 % (1236771)Time elapsed: 0.001 s
% 2.24/1.49 % (1236771)Peak memory usage: 87 MB
% 2.24/1.49 % (1236772)Refutation not found, incomplete strategy
% 2.24/1.49 % (1236772)------------------------------
% 2.24/1.49 % (1236772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236772)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236772)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.49 % (1236772)Time elapsed: 0.001 s
% 2.24/1.49 % (1236772)Peak memory usage: 87 MB
% 2.24/1.49 % (1236773)Refutation not found, incomplete strategy
% 2.24/1.49 % (1236773)------------------------------
% 2.24/1.49 % (1236773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236772)Instructions burned: 1 (million)
% 2.24/1.49 % (1236773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236773)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236773)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.49 % (1236773)Time elapsed: 0.001 s
% 2.24/1.49 % (1236773)Peak memory usage: 87 MB
% 2.24/1.49 % (1236772)------------------------------
% 2.24/1.49 % (1236772)------------------------------
% 2.24/1.49 % (1236773)------------------------------
% 2.24/1.49 % (1236773)------------------------------
% 2.24/1.49 % (1236771)------------------------------
% 2.24/1.49 % (1236771)------------------------------
% 2.24/1.49 % (1236774)------------------------------
% 2.24/1.49 % (1236774)------------------------------
% 2.24/1.49 % (1236782)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1386917865:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 2.24/1.49 [W927 10:49:56.891441917 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891484827 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891521914 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891533650 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891559387 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891581657 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891607304 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891617477 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891641860 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891653924 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891677987 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 [W927 10:49:56.891689880 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.24/1.49 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.24/1.49 % (1236785)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3351085314:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2996 on theBenchmark for (2996ds/317Mi)
% 2.24/1.49 % (1236784)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3371523589:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 2.24/1.49 % (1236783)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2246281289:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 2.24/1.49 % (1236784)Refutation not found, incomplete strategy
% 2.24/1.49 % (1236784)------------------------------
% 2.24/1.49 % (1236784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236784)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236784)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.49 % (1236784)Time elapsed: 0.001 s
% 2.24/1.49 % (1236784)Peak memory usage: 87 MB
% 2.24/1.49 % (1236785)First to succeed.
% 2.24/1.49 % (1236785)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1236763"
% 2.24/1.49 % (1236769)Refutation not found, incomplete strategy
% 2.24/1.49 % (1236769)------------------------------
% 2.24/1.49 % (1236769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236769)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236769)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.49 % (1236769)Time elapsed: 0.545 s
% 2.24/1.49 % (1236769)Peak memory usage: 125 MB
% 2.24/1.49 % (1236769)Instructions burned: 824 (million)
% 2.24/1.49 % (1236770)Also succeeded, but the first one will report.
% 2.24/1.49 % (1236768)Refutation not found, incomplete strategy
% 2.24/1.49 % (1236768)------------------------------
% 2.24/1.49 % (1236768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236768)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236768)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.49 % (1236768)Time elapsed: 0.593 s
% 2.24/1.49 % (1236768)Peak memory usage: 127 MB
% 2.24/1.49 % (1236768)Instructions burned: 894 (million)
% 2.24/1.49 % (1236784)------------------------------
% 2.24/1.49 % (1236784)------------------------------
% 2.24/1.49 % SZS status Satisfiable for theBenchmark
% 2.24/1.49 % SZS output start Saturation.
% See solution above
% 2.24/1.49 % SZS output start Definitions and Model Updates.
% 2.24/1.49 % SZS output end Definitions and Model Updates.
% 2.24/1.49 % (1236785)------------------------------
% 2.24/1.49 % (1236785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.49 % (1236785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.49 % (1236785)CaDiCaL version: 2.1.3
% 2.24/1.49 % (1236785)Termination reason: Satisfiable
% 2.24/1.49 % (1236785)Time elapsed: 0.001 s
% 2.24/1.49 % (1236785)Peak memory usage: 88 MB
% 2.24/1.49 % (1236785)------------------------------
% 2.24/1.49 % (1236785)------------------------------
% 2.24/1.49 % (1236763)Success in time 0.787 s
% 2.24/1.49 % Vampire exiting
%------------------------------------------------------------------------------