%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWC004-1 : 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 : n013.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 6.30s 1.87s
% Output : Saturation 6.30s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u24,axiom,
n0 = not(n1) ).
cnf(u29,axiom,
n1 = not(n0) ).
cnf(u34,axiom,
n1 = or(n1,n1) ).
cnf(u39,axiom,
n1 = or(n1,n0) ).
cnf(u44,axiom,
n1 = or(n0,n1) ).
cnf(u49,axiom,
n0 = or(n0,n0) ).
cnf(u54,axiom,
n1 = and(n1,n1) ).
cnf(u59,axiom,
n0 = and(n1,n0) ).
cnf(u64,axiom,
n0 = and(n0,n1) ).
cnf(u69,axiom,
n0 = and(n0,n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWC004-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n013.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 10:51:22 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.28/1.39 % (45997)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.28/1.39 % (46005)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3220327704:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.28/1.39 % (46005)Refutation not found, incomplete strategy
% 3.28/1.39 % (46005)------------------------------
% 3.28/1.39 % (46005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.39 % (46005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.39 % (46005)CaDiCaL version: 2.1.3
% 3.28/1.39 % (46005)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.39 % (46005)Time elapsed: 0.001 s
% 3.28/1.39 % (46005)Peak memory usage: 87 MB
% 3.28/1.39 % (46005)Instructions burned: 1 (million)
% 3.28/1.39 % (46002)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=1003052450:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.28/1.39 % (46004)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4054993136:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.28/1.39 % (46003)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=4234944783:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.28/1.39 % (46006)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3977315398:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.28/1.39 % (46007)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4124397623:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.28/1.39 % (46006)Refutation not found, incomplete strategy
% 3.28/1.39 % (46006)------------------------------
% 3.28/1.39 % (46006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.39 % (46006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.39 % (46006)CaDiCaL version: 2.1.3
% 3.28/1.39 % (46006)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.39 % (46006)Time elapsed: 0.001 s
% 3.28/1.39 % (46006)Peak memory usage: 87 MB
% 3.28/1.39 % (46006)Instructions burned: 1 (million)
% 3.28/1.39 % (46007)Refutation not found, incomplete strategy
% 3.28/1.39 % (46007)------------------------------
% 3.28/1.39 % (46007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.39 % (46007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.39 % (46007)CaDiCaL version: 2.1.3
% 3.28/1.39 % (46007)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.39 % (46007)Time elapsed: 0.002 s
% 3.28/1.39 % (46007)Peak memory usage: 87 MB
% 3.28/1.39 % (46007)Instructions burned: 1 (million)
% 3.28/1.39 % (46008)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1201313729:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.28/1.39 % (46008)Refutation not found, incomplete strategy
% 3.28/1.39 % (46008)------------------------------
% 3.28/1.39 % (46008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.39 % (46008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.39 % (46008)CaDiCaL version: 2.1.3
% 3.28/1.39 % (46008)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.39 % (46008)Time elapsed: 0.0000 s
% 3.28/1.39 % (46008)Peak memory usage: 86 MB
% 3.28/1.39 % (46005)------------------------------
% 3.28/1.39 % (46005)------------------------------
% 3.28/1.39 % (46016)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2592697607:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.28/1.39 % (46006)------------------------------
% 3.28/1.39 % (46006)------------------------------
% 3.28/1.39 % (46007)------------------------------
% 3.28/1.39 % (46007)------------------------------
% 3.28/1.39 % (46008)------------------------------
% 3.28/1.39 % (46008)------------------------------
% 3.28/1.39 % (46018)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1226304636:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 4.20/1.67 [W927 10:51:23.349557821 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.349588021 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.349623268 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.349636715 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.349661895 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.349673525 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 % (46019)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3601809267:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.20/1.67 [W927 10:51:23.350072175 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.350099322 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.350135272 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.350148279 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.350174329 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.350185669 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.
% 4.20/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.20/1.67 [W927 10:51:23.350193109 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350219522 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350257682 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350279719 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350307089 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350317569 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350341573 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350351446 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350375519 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350385443 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350408699 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.350418543 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 % (46019)Refutation not found, incomplete strategy
% 6.30/1.87 % (46019)------------------------------
% 6.30/1.87 % (46019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.87 % (46019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.87 % (46019)CaDiCaL version: 2.1.3
% 6.30/1.87 % (46019)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.87 % (46019)Time elapsed: 0.001 s
% 6.30/1.87 % (46019)Peak memory usage: 87 MB
% 6.30/1.87 % (46020)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=147081048:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 6.30/1.87 % (46020)First to succeed.
% 6.30/1.87 % (46020)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-45997"
% 6.30/1.87 [W927 10:51:23.399290133 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.399312031 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.399330551 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.399336775 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.399350200 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 [W927 10:51:23.399356721 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.
% 6.30/1.87 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.30/1.87 % (46004)Also succeeded, but the first one will report.
% 6.30/1.87 % (46003)Refutation not found, incomplete strategy
% 6.30/1.87 % (46003)------------------------------
% 6.30/1.87 % (46003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.87 % (46003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.87 % (46003)CaDiCaL version: 2.1.3
% 6.30/1.87 % (46003)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.87 % (46003)Time elapsed: 0.555 s
% 6.30/1.87 % (46003)Peak memory usage: 125 MB
% 6.30/1.87 % (46003)Instructions burned: 825 (million)
% 6.30/1.87 % (46016)Refutation not found, incomplete strategy
% 6.30/1.87 % (46016)------------------------------
% 6.30/1.87 % (46016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.87 % (46016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.87 % (46016)CaDiCaL version: 2.1.3
% 6.30/1.87 % (46016)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.87 % (46016)Time elapsed: 0.346 s
% 6.30/1.87 % (46016)Peak memory usage: 127 MB
% 6.30/1.87 % (46016)Instructions burned: 852 (million)
% 6.30/1.87 % (46002)Refutation not found, incomplete strategy
% 6.30/1.87 % (46002)------------------------------
% 6.30/1.87 % (46002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.87 % (46002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.87 % (46002)CaDiCaL version: 2.1.3
% 6.30/1.87 % (46002)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.87 % (46002)Time elapsed: 0.605 s
% 6.30/1.87 % (46002)Peak memory usage: 128 MB
% 6.30/1.87 % (46002)Instructions burned: 898 (million)
% 6.30/1.87 % (46019)------------------------------
% 6.30/1.87 % (46019)------------------------------
% 6.30/1.87 % SZS status Satisfiable for theBenchmark
% 6.30/1.87 % SZS output start Saturation.
% See solution above
% 6.30/1.87 % SZS output start Definitions and Model Updates.
% 6.30/1.87 % SZS output end Definitions and Model Updates.
% 6.30/1.87 % (46020)------------------------------
% 6.30/1.87 % (46020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.87 % (46020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.87 % (46020)CaDiCaL version: 2.1.3
% 6.30/1.87 % (46020)Termination reason: Satisfiable
% 6.30/1.87 % (46020)Time elapsed: 0.002 s
% 6.30/1.87 % (46020)Peak memory usage: 88 MB
% 6.30/1.87 % (46020)Instructions burned: 1 (million)
% 6.30/1.87 % (46020)------------------------------
% 6.30/1.87 % (46020)------------------------------
% 6.30/1.87 % (45997)Success in time 0.812 s
% 6.30/1.87 % Vampire exiting
%------------------------------------------------------------------------------