%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM002_20 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:38:58 AM UTC 2026
% Result : Satisfiable 4.96s 1.47s
% Output : Saturation 4.96s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u35,hypothesis,
has(p7,assign(register_j,plus(register_j,n1))) ).
cnf(u29,hypothesis,
has(p3,ifthen(equal_function(register_j,n),p4)) ).
cnf(u24,hypothesis,
has(p1,assign(register_j,n0)) ).
cnf(u39,axiom,
( ~ has(X1,goto(X0))
| ~ fails(X2,X1)
| ~ labels(X0,X2) ) ).
cnf(u34,hypothesis,
follows(p7,p6) ).
cnf(u41,axiom,
( ~ fails(X2,X1)
| fails(X0,X1)
| fails(X2,X0) ) ).
cnf(u28,hypothesis,
follows(p3,p2) ).
cnf(u27,hypothesis,
labels(loop,p3) ).
cnf(u38,axiom,
( ~ fails(X1,X0)
| ~ follows(X1,X0) ) ).
cnf(u45,hypothesis,
~ fails(p3,p8) ).
cnf(u40,axiom,
( ~ has(X1,ifthen(X0,X2))
| ~ fails(X2,X1) ) ).
cnf(u31,hypothesis,
follows(p5,p4) ).
cnf(u26,hypothesis,
has(p2,assign(register_k,n1)) ).
cnf(u33,hypothesis,
has(p6,assign(register_k,times(n2,register_k))) ).
cnf(u44,hypothesis,
( ~ labels(loop,X0)
| ~ fails(X0,p8) ) ).
cnf(u43,hypothesis,
( ~ labels(out,X0)
| ~ fails(X0,p4) ) ).
cnf(u30,hypothesis,
has(p4,goto(out)) ).
cnf(u37,hypothesis,
has(p8,goto(loop)) ).
cnf(u32,hypothesis,
follows(p6,p3) ).
cnf(u42,hypothesis,
~ fails(p4,p3) ).
cnf(u25,hypothesis,
follows(p2,p1) ).
cnf(u36,hypothesis,
follows(p8,p7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM002_20 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:42:30 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 4.96/1.47 % (3520507)Detected formulas, will run a generic FOF schedule.
% 4.96/1.47 % (3520513)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3434067130:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.96/1.47 % (3520516)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1394148607:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.96/1.47 % (3520515)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=758947384:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.96/1.47 % (3520512)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=3174352936:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.96/1.47 % (3520514)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2145115941:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.96/1.47 % (3520515)Refutation not found, incomplete strategy
% 4.96/1.47 % (3520515)------------------------------
% 4.96/1.47 % (3520515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520515)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520515)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.47 % (3520515)Time elapsed: 0.001 s
% 4.96/1.47 % (3520515)Peak memory usage: 87 MB
% 4.96/1.47 % (3520518)dis-21_1_sil=8000:lcm=predicate:random_seed=390039305:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.96/1.47 % (3520517)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=442498046:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.96/1.47 % (3520517)Refutation not found, incomplete strategy
% 4.96/1.47 % (3520517)------------------------------
% 4.96/1.47 % (3520517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520517)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520517)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.47 % (3520517)Time elapsed: 0.001 s
% 4.96/1.47 % (3520517)Peak memory usage: 88 MB
% 4.96/1.47 % (3520516)Instruction limit reached!
% 4.96/1.47 % (3520516)------------------------------
% 4.96/1.47 % (3520516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520516)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520516)Termination reason: Instruction limit
% 4.96/1.47 % (3520516)Termination phase: Saturation
% 4.96/1.47 % (3520516)Time elapsed: 0.061 s
% 4.96/1.47 % (3520516)Peak memory usage: 87 MB
% 4.96/1.47 % (3520516)Instructions burned: 121 (million)
% 4.96/1.47 % (3520518)Instruction limit reached!
% 4.96/1.47 % (3520518)------------------------------
% 4.96/1.47 % (3520518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520518)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520518)Termination reason: Instruction limit
% 4.96/1.47 % (3520518)Termination phase: Saturation
% 4.96/1.47 % (3520518)Time elapsed: 0.068 s
% 4.96/1.47 % (3520518)Peak memory usage: 88 MB
% 4.96/1.47 % (3520518)Instructions burned: 129 (million)
% 4.96/1.47 [W928 21:42:31.430801145 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430822834 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430844113 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430851477 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430877166 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430882702 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430895822 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430907907 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430920983 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430926308 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430938843 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 [W928 21:42:31.430944196 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.
% 4.96/1.47 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.96/1.47 % (3520526)lrs+10_1_sil=8000:sp=occurrence:random_seed=3972423672:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.96/1.47 % (3520526)First to succeed.
% 4.96/1.47 % (3520526)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3520507"
% 4.96/1.47 % (3520527)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3607366146:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.96/1.47 % (3520527)Refutation not found, incomplete strategy
% 4.96/1.47 % (3520527)------------------------------
% 4.96/1.47 % (3520527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520527)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520527)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.47 % (3520527)Time elapsed: 0.001 s
% 4.96/1.47 % (3520527)Peak memory usage: 87 MB
% 4.96/1.47 % (3520515)------------------------------
% 4.96/1.47 % (3520515)------------------------------
% 4.96/1.47 % (3520517)------------------------------
% 4.96/1.47 % (3520517)------------------------------
% 4.96/1.47 % (3520513)Also succeeded, but the first one will report.
% 4.96/1.47 % (3520530)lrs+1011_1_sil=32000:sp=occurrence:random_seed=710998185:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.96/1.47 % (3520530)Refutation not found, incomplete strategy
% 4.96/1.47 % (3520530)------------------------------
% 4.96/1.47 % (3520530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520530)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520530)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.47 % (3520530)Time elapsed: 0.001 s
% 4.96/1.47 % (3520530)Peak memory usage: 87 MB
% 4.96/1.47 % (3520531)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2727709491:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.96/1.47 % (3520531)Refutation not found, incomplete strategy
% 4.96/1.47 % (3520531)------------------------------
% 4.96/1.47 % (3520531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520531)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520531)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.47 % (3520531)Time elapsed: 0.003 s
% 4.96/1.47 % (3520531)Peak memory usage: 88 MB
% 4.96/1.47 % (3520531)Instructions burned: 3 (million)
% 4.96/1.47 % (3520527)------------------------------
% 4.96/1.47 % (3520527)------------------------------
% 4.96/1.47 % SZS status Satisfiable for theBenchmark
% 4.96/1.47 % SZS output start Saturation.
% See solution above
% 4.96/1.47 % SZS output start Definitions and Model Updates.
% 4.96/1.47 % SZS output end Definitions and Model Updates.
% 4.96/1.47 % (3520526)------------------------------
% 4.96/1.47 % (3520526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.47 % (3520526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.47 % (3520526)CaDiCaL version: 2.1.3
% 4.96/1.47 % (3520526)Termination reason: Satisfiable
% 4.96/1.47 % (3520526)Time elapsed: 0.002 s
% 4.96/1.47 % (3520526)Peak memory usage: 88 MB
% 4.96/1.47 % (3520526)Instructions burned: 1 (million)
% 4.96/1.47 % (3520526)------------------------------
% 4.96/1.47 % (3520526)------------------------------
% 4.96/1.47 % (3520507)Success in time 0.62 s
% 4.96/1.47 % Vampire exiting
%------------------------------------------------------------------------------