%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP198-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:13:18 AM UTC 2026
% Result : Unsatisfiable 37.50s 6.47s
% Output : Refutation 38.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 45 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 18 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 105 ( 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f2,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X2,X1)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_cancellation) ).
fof(f3,axiom,
! [X2,X0,X1] :
( multiply(X0,X1) != multiply(X0,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation) ).
fof(f4,axiom,
! [X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,X1))))) = multiply(X1,multiply(X1,multiply(X1,multiply(X1,multiply(X0,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f5,negated_conjecture,
multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f7,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X1,multiply(X0,X0)))),X2)) = multiply(multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,X1))))),X2),
inference(superposition,[],[f1,f4]) ).
fof(f20,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,multiply(X2,multiply(X2,multiply(multiply(X0,X1),X2))))) = multiply(X2,multiply(X2,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1))))))),
inference(superposition,[],[f4,f1]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,multiply(X2,multiply(X2,multiply(multiply(X0,X1),X2)))))) = multiply(X2,multiply(X2,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1))))))),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f34,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X1,multiply(X0,X0)))),X2)) = multiply(X0,multiply(multiply(X1,multiply(X1,multiply(X1,multiply(X0,X1)))),X2)),
inference(forward_demodulation,[],[f7,f1]) ).
fof(f36,plain,
! [X2,X0,X1] : multiply(X2,multiply(X2,multiply(X2,multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1))))))) = multiply(X0,multiply(X1,multiply(X2,multiply(X2,multiply(X2,multiply(X0,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f21,f1]) ).
fof(f49,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X1,multiply(X0,X0)))),X2)) = multiply(X0,multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,X1))),X2))),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f59,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X1,multiply(X0,X0)))),X2)) = multiply(X0,multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,X1)),X2)))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f69,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X1,multiply(X0,X0)))),X2)) = multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X0,X1),X2))))),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f79,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X1,multiply(X0,X0)))),X2)) = multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f89,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2)))))) = multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,X0))),X2))),
inference(forward_demodulation,[],[f79,f1]) ).
fof(f91,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2)))))) = multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,X0)),X2)))),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f93,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2)))))) = multiply(X1,multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X0,X0),X2))))),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f95,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2)))))) = multiply(X1,multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f227,plain,
! [X0] : multiply(multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))),X0) != multiply(multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))),X0),
inference(unit_resulting_resolution,[],[f2,f5]) ).
fof(f244,plain,
! [X0] : multiply(multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))),X0) != multiply(a,multiply(multiply(a,multiply(b,multiply(b,multiply(b,b)))),X0)),
inference(forward_demodulation,[],[f227,f1]) ).
fof(f246,plain,
! [X0] : multiply(multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))),X0) != multiply(a,multiply(a,multiply(multiply(b,multiply(b,multiply(b,b))),X0))),
inference(forward_demodulation,[],[f244,f1]) ).
fof(f248,plain,
! [X0] : multiply(multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))),X0) != multiply(a,multiply(a,multiply(b,multiply(multiply(b,multiply(b,b)),X0)))),
inference(forward_demodulation,[],[f246,f1]) ).
fof(f250,plain,
! [X0] : multiply(multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))),X0) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(multiply(b,b),X0))))),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f252,plain,
! [X0] : multiply(multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))),X0) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,X0)))))),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f254,plain,
! [X0] : multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,X0)))))) != multiply(b,multiply(multiply(a,multiply(b,multiply(b,multiply(b,a)))),X0)),
inference(forward_demodulation,[],[f252,f1]) ).
fof(f256,plain,
! [X0] : multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,X0)))))) != multiply(b,multiply(a,multiply(multiply(b,multiply(b,multiply(b,a))),X0))),
inference(forward_demodulation,[],[f254,f1]) ).
fof(f258,plain,
! [X0] : multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,X0)))))) != multiply(b,multiply(a,multiply(b,multiply(multiply(b,multiply(b,a)),X0)))),
inference(forward_demodulation,[],[f256,f1]) ).
fof(f260,plain,
! [X0] : multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,X0)))))) != multiply(b,multiply(a,multiply(b,multiply(b,multiply(multiply(b,a),X0))))),
inference(forward_demodulation,[],[f258,f1]) ).
fof(f262,plain,
! [X0] : multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,X0)))))) != multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,X0)))))),
inference(forward_demodulation,[],[f260,f1]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,X2)))))) != multiply(X1,X3)
| multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,X2))))) = X3 ),
inference(superposition,[],[f3,f95]) ).
fof(f328,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,X1)))))) = multiply(X1,multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0)))))),
inference(unit_resulting_resolution,[],[f3,f36]) ).
fof(f1610,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0))))),X2)) = multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,X1)))))),X2),
inference(superposition,[],[f1,f328]) ).
fof(f1625,plain,
multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,b))))))) != multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,a))))))),
inference(superposition,[],[f262,f328]) ).
fof(f1631,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0))))),X2)) = multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,X1))))),X2)),
inference(forward_demodulation,[],[f1610,f1]) ).
fof(f1657,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0))))),X2)) = multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X0,X1)))),X2))),
inference(forward_demodulation,[],[f1631,f1]) ).
fof(f1680,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0))))),X2)) = multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,multiply(X0,X1))),X2)))),
inference(forward_demodulation,[],[f1657,f1]) ).
fof(f1700,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0))))),X2)) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,multiply(X0,X1)),X2))))),
inference(forward_demodulation,[],[f1680,f1]) ).
fof(f1720,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0))))),X2)) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(multiply(X0,X1),X2)))))),
inference(forward_demodulation,[],[f1700,f1]) ).
fof(f1740,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0))))),X2)) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f1720,f1]) ).
fof(f1760,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2))))))) = multiply(X1,multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X0,multiply(X1,X0)))),X2))),
inference(forward_demodulation,[],[f1740,f1]) ).
fof(f1780,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2))))))) = multiply(X1,multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,X0))),X2)))),
inference(forward_demodulation,[],[f1760,f1]) ).
fof(f1800,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2))))))) = multiply(X1,multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X0)),X2))))),
inference(forward_demodulation,[],[f1780,f1]) ).
fof(f1810,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2))))))) = multiply(X1,multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X0),X2)))))),
inference(forward_demodulation,[],[f1800,f1]) ).
fof(f1820,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2))))))) = multiply(X1,multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f1810,f1]) ).
fof(f3321,plain,
! [X0,X1] : multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X0)))))) = multiply(X0,multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X1)))))),
inference(unit_resulting_resolution,[],[f321,f36]) ).
fof(f13333,plain,
multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,b))))))) != multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,a))))))),
inference(superposition,[],[f1625,f1820]) ).
fof(f13339,plain,
multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,a))))))) != multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,a))))))),
inference(forward_demodulation,[],[f13333,f3321]) ).
fof(f13340,plain,
$false,
inference(trivial_inequality_removal,[],[f13339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP198-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:38:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 21.03/4.11 % (253982)Input is clausal, will run a generic CNF schedule.
% 21.03/4.11 % (253989)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=810548155:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 21.03/4.11 % (253988)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=22453158:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 21.03/4.11 % (253987)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=4292085239:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 21.03/4.11 % (253990)lrs+10_1_sil=8000:sp=occurrence:random_seed=2135679865:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 21.03/4.11 % (253992)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4166206922:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 21.03/4.11 % (253991)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3999818790:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 21.03/4.11 % (253993)dis-21_1_sil=8000:lcm=predicate:random_seed=1964748084: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)
% 21.03/4.11 % (253993)Refutation not found, incomplete strategy
% 21.03/4.11 % (253993)------------------------------
% 21.03/4.11 % (253993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/4.11 % (253993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/4.11 % (253993)CaDiCaL version: 2.1.3
% 21.03/4.11 % (253993)Termination reason: Refutation not found, incomplete strategy
% 21.03/4.11 % (253993)Time elapsed: 0.002 s
% 21.03/4.11 % (253993)Peak memory usage: 88 MB
% 21.03/4.11 % (253990)Instruction limit reached!
% 21.03/4.11 % (253990)------------------------------
% 21.03/4.11 % (253990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/4.11 % (253990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/4.11 % (253990)CaDiCaL version: 2.1.3
% 21.03/4.11 % (253990)Termination reason: Instruction limit
% 21.03/4.11 % (253990)Termination phase: Saturation
% 21.03/4.11 % (253990)Time elapsed: 0.092 s
% 21.03/4.11 % (253990)Peak memory usage: 88 MB
% 21.03/4.11 % (253990)Instructions burned: 108 (million)
% 21.03/4.11 % (253991)Instruction limit reached!
% 21.03/4.11 % (253991)------------------------------
% 21.03/4.11 % (253991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/4.11 % (253991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/4.11 % (253991)CaDiCaL version: 2.1.3
% 21.03/4.11 % (253991)Termination reason: Instruction limit
% 21.03/4.11 % (253991)Termination phase: Saturation
% 21.03/4.11 % (253991)Time elapsed: 0.107 s
% 21.03/4.11 % (253991)Peak memory usage: 88 MB
% 21.03/4.11 % (253991)Instructions burned: 116 (million)
% 21.03/4.11 % (253992)Instruction limit reached!
% 21.03/4.11 % (253992)------------------------------
% 21.03/4.11 % (253992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/4.11 % (253992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/4.11 % (253992)CaDiCaL version: 2.1.3
% 21.03/4.11 % (253992)Termination reason: Instruction limit
% 21.03/4.11 % (253992)Termination phase: Saturation
% 21.03/4.11 % (253992)Time elapsed: 0.147 s
% 21.03/4.11 % (253992)Peak memory usage: 90 MB
% 21.03/4.11 % (253992)Instructions burned: 181 (million)
% 21.03/4.11 % (254001)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=1362257447:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 21.03/4.11 % (254002)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1341409037: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)
% 21.03/4.11 % (253993)------------------------------
% 21.03/4.11 % (253993)------------------------------
% 21.03/4.11 % (254003)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2018369953:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 21.03/4.11 % (254001)Instruction limit reached!
% 21.03/4.11 % (254001)------------------------------
% 21.03/4.11 % (254001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.18/6.27 % (254001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.18/6.27 % (254001)CaDiCaL version: 2.1.3
% 36.18/6.27 % (254001)Termination reason: Instruction limit
% 36.18/6.27 % (254001)Termination phase: Saturation
% 36.18/6.27 % (254001)Time elapsed: 0.115 s
% 36.18/6.27 % (254001)Peak memory usage: 88 MB
% 36.18/6.27 % (254001)Instructions burned: 143 (million)
% 36.18/6.27 % (254002)Instruction limit reached!
% 36.18/6.27 % (254002)------------------------------
% 36.18/6.27 % (254002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.18/6.27 % (254002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.18/6.27 % (254002)CaDiCaL version: 2.1.3
% 36.18/6.27 % (254002)Termination reason: Instruction limit
% 36.18/6.27 % (254002)Termination phase: Saturation
% 36.18/6.27 % (254002)Time elapsed: 0.158 s
% 36.18/6.27 % (254002)Peak memory usage: 90 MB
% 36.18/6.27 % (254002)Instructions burned: 190 (million)
% 36.18/6.27 % (254003)Instruction limit reached!
% 36.18/6.27 % (254003)------------------------------
% 36.18/6.27 % (254003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.18/6.27 % (254003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.18/6.27 % (254003)CaDiCaL version: 2.1.3
% 36.18/6.27 % (254003)Termination reason: Instruction limit
% 36.18/6.27 % (254003)Termination phase: Saturation
% 36.18/6.27 % (254003)Time elapsed: 0.174 s
% 36.18/6.27 % (254003)Peak memory usage: 89 MB
% 36.18/6.27 % (254003)Instructions burned: 219 (million)
% 36.18/6.27 % (254007)lrs+10_64_to=lpo:sil=8000:random_seed=1549993361:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 36.18/6.27 % (254008)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2026565962:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 36.18/6.27 % (254007)Instruction limit reached!
% 36.18/6.27 % (254007)------------------------------
% 36.18/6.27 % (254007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.18/6.27 % (254007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.18/6.27 % (254007)CaDiCaL version: 2.1.3
% 36.18/6.27 % (254007)Termination reason: Instruction limit
% 36.18/6.27 % (254007)Termination phase: Saturation
% 36.18/6.27 % (254007)Time elapsed: 0.109 s
% 36.18/6.27 % (254007)Peak memory usage: 88 MB
% 36.18/6.27 % (254007)Instructions burned: 127 (million)
% 36.18/6.27 % (254009)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4130276414:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 36.18/6.27 % (254010)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1870549194:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 36.18/6.27 % (254008)Instruction limit reached!
% 36.18/6.27 % (254008)------------------------------
% 36.18/6.27 % (254008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.18/6.27 % (254008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.18/6.27 % (254008)CaDiCaL version: 2.1.3
% 36.18/6.27 % (254008)Termination reason: Instruction limit
% 36.18/6.27 % (254008)Termination phase: Saturation
% 36.18/6.27 % (254008)Time elapsed: 0.166 s
% 36.18/6.27 % (254008)Peak memory usage: 88 MB
% 36.18/6.27 % (254008)Instructions burned: 194 (million)
% 36.18/6.27 % (254009)Instruction limit reached!
% 36.18/6.27 % (254009)------------------------------
% 36.18/6.27 % (254009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.18/6.27 % (254009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.18/6.27 % (254009)CaDiCaL version: 2.1.3
% 36.18/6.27 % (254009)Termination reason: Instruction limit
% 36.18/6.27 % (254009)Termination phase: Saturation
% 36.18/6.27 % (254009)Time elapsed: 0.142 s
% 36.18/6.27 % (254009)Peak memory usage: 90 MB
% 36.18/6.27 % (254009)Instructions burned: 160 (million)
% 36.18/6.27 % (254013)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3841458663:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 36.18/6.27 % (254013)Instruction limit reached!
% 36.18/6.27 % (254013)------------------------------
% 36.18/6.27 % (254013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.18/6.27 % (254013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.18/6.27 % (254013)CaDiCaL version: 2.1.3
% 36.18/6.27 % (254013)Termination reason: Instruction limit
% 36.18/6.27 % (254013)Termination phase: Saturation
% 37.50/6.47 % (254013)Time elapsed: 0.094 s
% 37.50/6.47 % (254013)Peak memory usage: 89 MB
% 37.50/6.47 % (254013)Instructions burned: 106 (million)
% 37.50/6.47 % (254016)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2098420677:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 37.50/6.47 % (254017)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4067055621:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 37.50/6.47 % (254016)Instruction limit reached!
% 37.50/6.47 % (254016)------------------------------
% 37.50/6.47 % (254016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254016)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254016)Termination reason: Instruction limit
% 37.50/6.47 % (254016)Termination phase: Saturation
% 37.50/6.47 % (254016)Time elapsed: 0.087 s
% 37.50/6.47 % (254016)Peak memory usage: 87 MB
% 37.50/6.47 % (254016)Instructions burned: 108 (million)
% 37.50/6.47 % (254017)Instruction limit reached!
% 37.50/6.47 % (254017)------------------------------
% 37.50/6.47 % (254017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254017)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254017)Termination reason: Instruction limit
% 37.50/6.47 % (254017)Termination phase: Saturation
% 37.50/6.47 % (254017)Time elapsed: 0.219 s
% 37.50/6.47 % (254017)Peak memory usage: 90 MB
% 37.50/6.47 % (254017)Instructions burned: 242 (million)
% 37.50/6.47 % (254019)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3613659979:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 37.50/6.47 % (254022)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3717447566:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 37.50/6.47 % (254022)Instruction limit reached!
% 37.50/6.47 % (254022)------------------------------
% 37.50/6.47 % (254022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254022)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254022)Termination reason: Instruction limit
% 37.50/6.47 % (254022)Termination phase: Saturation
% 37.50/6.47 % (254022)Time elapsed: 0.111 s
% 37.50/6.47 % (254022)Peak memory usage: 88 MB
% 37.50/6.47 % (254022)Instructions burned: 135 (million)
% 37.50/6.47 % (254023)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3043850841:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 37.50/6.47 % (254026)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2929949704:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 37.50/6.47 % (254023)Instruction limit reached!
% 37.50/6.47 % (254023)------------------------------
% 37.50/6.47 % (254023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254023)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254023)Termination reason: Instruction limit
% 37.50/6.47 % (254023)Termination phase: Saturation
% 37.50/6.47 % (254023)Time elapsed: 0.418 s
% 37.50/6.47 % (254023)Peak memory usage: 94 MB
% 37.50/6.47 % (254023)Instructions burned: 500 (million)
% 37.50/6.47 % (254026)Instruction limit reached!
% 37.50/6.47 % (254026)------------------------------
% 37.50/6.47 % (254026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254026)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254026)Termination reason: Instruction limit
% 37.50/6.47 % (254026)Termination phase: Saturation
% 37.50/6.47 % (254026)Time elapsed: 0.170 s
% 37.50/6.47 % (254026)Peak memory usage: 89 MB
% 37.50/6.47 % (254026)Instructions burned: 191 (million)
% 37.50/6.47 % (254029)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3921359266:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 37.50/6.47 % (254030)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1050402004:cond=on:i=156:bs=on:gtg=exists_all:er=known_2974 on theBenchmark for (2974ds/156Mi)
% 37.50/6.47 % (254030)Instruction limit reached!
% 37.50/6.47 % (254030)------------------------------
% 37.50/6.47 % (254030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254030)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254030)Termination reason: Instruction limit
% 37.50/6.47 % (254030)Termination phase: Saturation
% 37.50/6.47 % (254030)Time elapsed: 0.137 s
% 37.50/6.47 % (254030)Peak memory usage: 88 MB
% 37.50/6.47 % (254030)Instructions burned: 157 (million)
% 37.50/6.47 % (254029)Instruction limit reached!
% 37.50/6.47 % (254029)------------------------------
% 37.50/6.47 % (254029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254029)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254029)Termination reason: Instruction limit
% 37.50/6.47 % (254029)Termination phase: Saturation
% 37.50/6.47 % (254029)Time elapsed: 0.214 s
% 37.50/6.47 % (254029)Peak memory usage: 89 MB
% 37.50/6.47 % (254029)Instructions burned: 264 (million)
% 37.50/6.47 % (254033)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=4003751879:i=3256:kws=precedence:bd=preordered:av=off_2970 on theBenchmark for (2970ds/3256Mi)
% 37.50/6.47 % (254034)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3603558244:i=537:av=off:ss=included_2970 on theBenchmark for (2970ds/537Mi)
% 37.50/6.47 % (254034)Instruction limit reached!
% 37.50/6.47 % (254034)------------------------------
% 37.50/6.47 % (254034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254034)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254034)Termination reason: Instruction limit
% 37.50/6.47 % (254034)Termination phase: Saturation
% 37.50/6.47 % (254034)Time elapsed: 0.479 s
% 37.50/6.47 % (254034)Peak memory usage: 93 MB
% 37.50/6.47 % (254034)Instructions burned: 537 (million)
% 37.50/6.47 % (254037)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=45897110:i=180:bd=preordered:av=off_2962 on theBenchmark for (2962ds/180Mi)
% 37.50/6.47 % (254037)Instruction limit reached!
% 37.50/6.47 % (254037)------------------------------
% 37.50/6.47 % (254037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254037)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254037)Termination reason: Instruction limit
% 37.50/6.47 % (254037)Termination phase: Saturation
% 37.50/6.47 % (254037)Time elapsed: 0.139 s
% 37.50/6.47 % (254037)Peak memory usage: 88 MB
% 37.50/6.47 % (254037)Instructions burned: 180 (million)
% 37.50/6.47 % (254010)Instruction limit reached!
% 37.50/6.47 % (254010)------------------------------
% 37.50/6.47 % (254010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254010)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254010)Termination reason: Instruction limit
% 37.50/6.47 % (254010)Termination phase: Saturation
% 37.50/6.47 % (254010)Time elapsed: 3.236 s
% 37.50/6.47 % (254010)Peak memory usage: 145 MB
% 37.50/6.47 % (254010)Instructions burned: 3394 (million)
% 37.50/6.47 % (254039)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1408442726:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2958 on theBenchmark for (2958ds/10307Mi)
% 37.50/6.47 % (254040)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3274953694:i=412:gtgl=4:gtg=exists_all_2955 on theBenchmark for (2955ds/412Mi)
% 37.50/6.47 % (253988)First to succeed.
% 37.50/6.47 % (253988)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-253982"
% 37.50/6.47 % (254040)Instruction limit reached!
% 37.50/6.47 % (254040)------------------------------
% 37.50/6.47 % (254040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.50/6.47 % (254040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.50/6.47 % (254040)CaDiCaL version: 2.1.3
% 37.50/6.47 % (254040)Termination reason: Instruction limit
% 37.50/6.47 % (254040)Termination phase: Saturation
% 37.50/6.47 % (254040)Time elapsed: 0.380 s
% 37.50/6.47 % (254040)Peak memory usage: 93 MB
% 37.50/6.47 % (254040)Instructions burned: 412 (million)
% 37.50/6.47 % (253988)Refutation found. Thanks to Tanya!
% 37.50/6.47 % SZS status Unsatisfiable for theBenchmark
% 37.50/6.47 % SZS output start Proof for theBenchmark
% See solution above
% 38.34/6.86 % (253988)------------------------------
% 38.34/6.86 % (253988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.34/6.86 % (253988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.34/6.86 % (253988)CaDiCaL version: 2.1.3
% 38.34/6.86 % (253988)Termination reason: Refutation
% 38.34/6.86 % (253988)Time elapsed: 4.557 s
% 38.34/6.86 % (253988)Peak memory usage: 160 MB
% 38.34/6.86 % (253988)Instructions burned: 4745 (million)
% 38.34/6.86 % (253988)------------------------------
% 38.34/6.86 % (253988)------------------------------
% 38.34/6.86 % (253982)Success in time 5.3 s
% 38.34/6.86 % Vampire exiting
%------------------------------------------------------------------------------