%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO035-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:35:57 AM UTC 2026
% Result : Unsatisfiable 7.88s 1.94s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of formulae : 52 ( 46 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 44 ( 26 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 207 ( 207 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c))
| multiply(b,a,a) != a
| multiply(a,b,inverse(b)) != a
| multiply(a,a,b) != a
| multiply(inverse(b),b,a) != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms) ).
fof(f3,plain,
( multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c))
| a != multiply(b,a,a)
| a != multiply(a,b,inverse(b))
| a != multiply(a,a,b)
| a != multiply(inverse(b),b,a) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0) = multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)),
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,multiply(X5,multiply(X6,X7,X8),X9)),inverse(multiply(multiply(X9,X5,X8),X7,multiply(X9,X5,X6))),multiply(X3,X4,multiply(X10,inverse(X10),X0)))),multiply(X4,X0,X3)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f67,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,multiply(multiply(X1,inverse(X1),inverse(X0)),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(superposition,[],[f7,f7]) ).
fof(f82,plain,
! [X10,X0,X8,X9,X7] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,inverse(X0),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(forward_demodulation,[],[f67,f1]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(inverse(X2),X1,X2),
inference(superposition,[],[f1,f82]) ).
fof(f112,plain,
! [X2,X1] : multiply(inverse(X2),X1,X2) = X1,
inference(forward_demodulation,[],[f97,f1]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = multiply(multiply(X1,inverse(X1),X0),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)),
inference(superposition,[],[f4,f112]) ).
fof(f145,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = X0,
inference(forward_demodulation,[],[f144,f1]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(X0,X1,X2)),multiply(X1,multiply(X2,inverse(multiply(X0,X1,X4)),X4),X0)) = X3,
inference(superposition,[],[f145,f1]) ).
fof(f177,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X1,inverse(X1),X0)),
inference(superposition,[],[f112,f145]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X3,multiply(X4,inverse(multiply(X5,X3,X6)),X6),X5) = multiply(multiply(X5,X3,X4),inverse(multiply(X0,X1,X2)),multiply(X1,multiply(X2,inverse(multiply(X0,X1,X7)),X7),X0)),
inference(superposition,[],[f4,f177]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X3,inverse(X3),X4),inverse(multiply(X0,X1,X2)),multiply(X1,multiply(X2,inverse(multiply(X0,X1,X5)),X5),X0)) = X4,
inference(superposition,[],[f1,f177]) ).
fof(f211,plain,
! [X0,X1] : multiply(X1,inverse(X0),X0) = X1,
inference(superposition,[],[f145,f177]) ).
fof(f226,plain,
! [X3,X4] : multiply(X3,inverse(X3),X4) = X4,
inference(forward_demodulation,[],[f209,f150]) ).
fof(f227,plain,
! [X3,X6,X4,X5] : multiply(X3,multiply(X4,inverse(multiply(X5,X3,X6)),X6),X5) = multiply(X5,X3,X4),
inference(forward_demodulation,[],[f208,f150]) ).
fof(f244,plain,
! [X2,X3,X0,X6,X4,X5] : multiply(X0,inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X0,
inference(superposition,[],[f1,f226]) ).
fof(f267,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f112,f226]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X1,X2,X3),X4) = multiply(X2,multiply(multiply(X4,X0,X1),inverse(multiply(multiply(X4,X0,X3),X2,X5)),X5),multiply(X4,X0,X3)),
inference(superposition,[],[f4,f226]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,X2,X3),X4) = multiply(multiply(X4,X0,X3),X2,multiply(X4,X0,X1)),
inference(forward_demodulation,[],[f270,f227]) ).
fof(f354,plain,
! [X0,X1] : multiply(X0,X1,inverse(X0)) = X1,
inference(superposition,[],[f112,f267]) ).
fof(f357,plain,
! [X0,X1] : multiply(inverse(X0),X0,X1) = X1,
inference(superposition,[],[f226,f267]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X1,X0,X2) = multiply(multiply(X2,X1,inverse(inverse(multiply(X2,X1,X0)))),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)),
inference(superposition,[],[f4,f357]) ).
fof(f418,plain,
! [X2,X0,X1] : multiply(X1,X0,X2) = multiply(X2,X1,inverse(inverse(multiply(X2,X1,X0)))),
inference(forward_demodulation,[],[f383,f244]) ).
fof(f439,plain,
! [X2,X0,X1] : multiply(X2,X1,multiply(X2,X1,X0)) = multiply(X1,X0,X2),
inference(forward_demodulation,[],[f418,f267]) ).
fof(f566,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4),multiply(X2,X0,X1)) = multiply(multiply(X2,X0,X1),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X0,multiply(X1,inverse(multiply(X2,X0,X3)),X3),X2)),
inference(superposition,[],[f439,f4]) ).
fof(f571,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1),X2)),X2,X0) = multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X0),
inference(superposition,[],[f439,f145]) ).
fof(f572,plain,
! [X0,X1] : multiply(X0,inverse(X1),X1) = multiply(X1,X0,X0),
inference(superposition,[],[f439,f354]) ).
fof(f635,plain,
! [X0,X1] : multiply(X1,X0,X0) = X0,
inference(forward_demodulation,[],[f572,f211]) ).
fof(f636,plain,
! [X2,X0] : multiply(inverse(X2),X2,X0) = multiply(X0,inverse(X2),X0),
inference(forward_demodulation,[],[f571,f177]) ).
fof(f641,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] : multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4),multiply(X2,X0,X1)) = multiply(multiply(X2,X0,X1),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X2,X0,X1)),
inference(forward_demodulation,[],[f566,f227]) ).
fof(f661,plain,
! [X2,X0] : multiply(X0,inverse(X2),X0) = X0,
inference(forward_demodulation,[],[f636,f357]) ).
fof(f664,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] : multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4),multiply(X2,X0,X1)) = multiply(X0,multiply(X1,inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),X1),X2),
inference(forward_demodulation,[],[f641,f278]) ).
fof(f683,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] : multiply(X0,X1,X2) = multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4),multiply(X2,X0,X1)),
inference(forward_demodulation,[],[f664,f661]) ).
fof(f696,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] : multiply(X0,X1,X2) = multiply(inverse(multiply(X5,multiply(X8,X7,X6),X4)),multiply(X5,multiply(X8,X7,X6),X4),multiply(X2,X0,X1)),
inference(forward_demodulation,[],[f683,f278]) ).
fof(f702,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X2,X0,X1),
inference(forward_demodulation,[],[f696,f357]) ).
fof(f789,plain,
! [X0,X1] : multiply(X0,X1,inverse(X1)) = X0,
inference(superposition,[],[f112,f702]) ).
fof(f1027,plain,
! [X0,X1] : multiply(X0,X0,X1) = X0,
inference(superposition,[],[f702,f635]) ).
fof(f2333,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,X2,X3),inverse(X1)) = multiply(multiply(inverse(X1),X1,X3),X2,X0),
inference(superposition,[],[f278,f357]) ).
fof(f2375,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,X2,X3),X4) = multiply(X2,multiply(X4,X0,X1),multiply(X4,X0,X3)),
inference(superposition,[],[f702,f278]) ).
fof(f2443,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,X2,X3),inverse(X1)) = multiply(X3,X2,X0),
inference(forward_demodulation,[],[f2333,f357]) ).
fof(f2504,plain,
! [X2,X3,X0] : multiply(X0,X2,X3) = multiply(X3,X2,X0),
inference(forward_demodulation,[],[f2443,f354]) ).
fof(f2695,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X1,X0,X2),
inference(superposition,[],[f702,f2504]) ).
fof(f3699,plain,
( multiply(d,e,multiply(a,b,c)) != multiply(b,multiply(d,e,a),multiply(d,e,c))
| a != multiply(b,a,a)
| a != multiply(a,b,inverse(b))
| a != multiply(a,a,b)
| a != multiply(inverse(b),b,a) ),
inference(superposition,[],[f3,f2695]) ).
fof(f3700,plain,
( multiply(d,e,multiply(a,b,c)) != multiply(b,multiply(d,e,a),multiply(d,e,c))
| a != multiply(a,b,inverse(b))
| a != multiply(a,a,b)
| a != multiply(inverse(b),b,a) ),
inference(forward_subsumption_resolution,[],[f3699,f635]) ).
fof(f3784,plain,
( multiply(d,e,multiply(a,b,c)) != multiply(b,multiply(d,e,a),multiply(d,e,c))
| a != multiply(a,a,b)
| a != multiply(inverse(b),b,a) ),
inference(forward_subsumption_resolution,[],[f3700,f789]) ).
fof(f3852,plain,
( multiply(d,e,multiply(a,b,c)) != multiply(b,multiply(d,e,a),multiply(d,e,c))
| a != multiply(inverse(b),b,a) ),
inference(forward_subsumption_resolution,[],[f3784,f1027]) ).
fof(f3914,plain,
multiply(d,e,multiply(a,b,c)) != multiply(b,multiply(d,e,a),multiply(d,e,c)),
inference(forward_subsumption_resolution,[],[f3852,f357]) ).
fof(f3944,plain,
multiply(d,e,multiply(a,b,c)) != multiply(e,multiply(a,b,c),d),
inference(forward_demodulation,[],[f3914,f2375]) ).
fof(f3964,plain,
$false,
inference(forward_subsumption_resolution,[],[f3944,f702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO035-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:00:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 7.88/1.94 % (4026800)Input is clausal, will run a generic CNF schedule.
% 7.88/1.94 % (4026807)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=570370085:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.88/1.94 % (4026806)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3428322046:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.88/1.94 % (4026805)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=1600769744:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.88/1.94 % (4026809)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1520697163:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.88/1.94 % (4026808)lrs+10_1_sil=8000:sp=occurrence:random_seed=307299950:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.88/1.94 % (4026811)dis-21_1_sil=8000:lcm=predicate:random_seed=620221239: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)
% 7.88/1.94 % (4026810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2781886250:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.88/1.94 % (4026811)Refutation not found, incomplete strategy
% 7.88/1.94 % (4026811)------------------------------
% 7.88/1.94 % (4026811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026811)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026811)Termination reason: Refutation not found, incomplete strategy
% 7.88/1.94 % (4026811)Time elapsed: 0.001 s
% 7.88/1.94 % (4026811)Peak memory usage: 88 MB
% 7.88/1.94 % (4026808)Instruction limit reached!
% 7.88/1.94 % (4026808)------------------------------
% 7.88/1.94 % (4026808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026808)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026808)Termination reason: Instruction limit
% 7.88/1.94 % (4026808)Termination phase: Saturation
% 7.88/1.94 % (4026808)Time elapsed: 0.068 s
% 7.88/1.94 % (4026808)Peak memory usage: 89 MB
% 7.88/1.94 % (4026808)Instructions burned: 109 (million)
% 7.88/1.94 % (4026809)Instruction limit reached!
% 7.88/1.94 % (4026809)------------------------------
% 7.88/1.94 % (4026809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026809)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026809)Termination reason: Instruction limit
% 7.88/1.94 % (4026809)Termination phase: Saturation
% 7.88/1.94 % (4026809)Time elapsed: 0.074 s
% 7.88/1.94 % (4026809)Peak memory usage: 89 MB
% 7.88/1.94 % (4026809)Instructions burned: 115 (million)
% 7.88/1.94 % (4026810)Instruction limit reached!
% 7.88/1.94 % (4026810)------------------------------
% 7.88/1.94 % (4026810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026810)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026810)Termination reason: Instruction limit
% 7.88/1.94 % (4026810)Termination phase: Saturation
% 7.88/1.94 % (4026810)Time elapsed: 0.105 s
% 7.88/1.94 % (4026810)Peak memory usage: 89 MB
% 7.88/1.94 % (4026810)Instructions burned: 181 (million)
% 7.88/1.94 % (4026820)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1770666206:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.88/1.94 % (4026820)Refutation not found, incomplete strategy
% 7.88/1.94 % (4026820)------------------------------
% 7.88/1.94 % (4026820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026820)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026820)Termination reason: Refutation not found, incomplete strategy
% 7.88/1.94 % (4026820)Time elapsed: 0.001 s
% 7.88/1.94 % (4026820)Peak memory usage: 88 MB
% 7.88/1.94 % (4026819)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=3199067557:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.88/1.94 % (4026819)Refutation not found, incomplete strategy
% 7.88/1.94 % (4026819)------------------------------
% 7.88/1.94 % (4026819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026819)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026819)Termination reason: Refutation not found, incomplete strategy
% 7.88/1.94 % (4026819)Time elapsed: 0.001 s
% 7.88/1.94 % (4026819)Peak memory usage: 88 MB
% 7.88/1.94 % (4026821)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=916624514:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.88/1.94 % (4026821)Refutation not found, incomplete strategy
% 7.88/1.94 % (4026821)------------------------------
% 7.88/1.94 % (4026821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026821)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026821)Termination reason: Refutation not found, incomplete strategy
% 7.88/1.94 % (4026821)Time elapsed: 0.001 s
% 7.88/1.94 % (4026821)Peak memory usage: 87 MB
% 7.88/1.94 % (4026811)------------------------------
% 7.88/1.94 % (4026811)------------------------------
% 7.88/1.94 % (4026825)lrs+10_64_to=lpo:sil=8000:random_seed=4031665836:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.88/1.94 % (4026825)Instruction limit reached!
% 7.88/1.94 % (4026825)------------------------------
% 7.88/1.94 % (4026825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026825)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026825)Termination reason: Instruction limit
% 7.88/1.94 % (4026825)Termination phase: Saturation
% 7.88/1.94 % (4026825)Time elapsed: 0.041 s
% 7.88/1.94 % (4026825)Peak memory usage: 89 MB
% 7.88/1.94 % (4026825)Instructions burned: 129 (million)
% 7.88/1.94 % (4026820)------------------------------
% 7.88/1.94 % (4026820)------------------------------
% 7.88/1.94 % (4026819)------------------------------
% 7.88/1.94 % (4026819)------------------------------
% 7.88/1.94 % (4026821)------------------------------
% 7.88/1.94 % (4026821)------------------------------
% 7.88/1.94 % (4026827)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2850179727:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 7.88/1.94 % (4026828)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3389191347:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.88/1.94 % (4026829)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2192991399:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.88/1.94 % (4026827)Instruction limit reached!
% 7.88/1.94 % (4026827)------------------------------
% 7.88/1.94 % (4026827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026827)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026827)Termination reason: Instruction limit
% 7.88/1.94 % (4026827)Termination phase: Saturation
% 7.88/1.94 % (4026827)Time elapsed: 0.064 s
% 7.88/1.94 % (4026827)Peak memory usage: 90 MB
% 7.88/1.94 % (4026827)Instructions burned: 194 (million)
% 7.88/1.94 % (4026830)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=1846621520:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.88/1.94 % (4026828)Instruction limit reached!
% 7.88/1.94 % (4026828)------------------------------
% 7.88/1.94 % (4026828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026828)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026828)Termination reason: Instruction limit
% 7.88/1.94 % (4026828)Termination phase: Saturation
% 7.88/1.94 % (4026828)Time elapsed: 0.092 s
% 7.88/1.94 % (4026828)Peak memory usage: 90 MB
% 7.88/1.94 % (4026828)Instructions burned: 157 (million)
% 7.88/1.94 % (4026830)Instruction limit reached!
% 7.88/1.94 % (4026830)------------------------------
% 7.88/1.94 % (4026830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026830)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026830)Termination reason: Instruction limit
% 7.88/1.94 % (4026830)Termination phase: Saturation
% 7.88/1.94 % (4026830)Time elapsed: 0.070 s
% 7.88/1.94 % (4026830)Peak memory usage: 89 MB
% 7.88/1.94 % (4026830)Instructions burned: 107 (million)
% 7.88/1.94 % (4026834)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1665219080:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.88/1.94 % (4026834)Refutation not found, incomplete strategy
% 7.88/1.94 % (4026834)------------------------------
% 7.88/1.94 % (4026834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026834)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026834)Termination reason: Refutation not found, incomplete strategy
% 7.88/1.94 % (4026834)Time elapsed: 0.0000 s
% 7.88/1.94 % (4026834)Peak memory usage: 87 MB
% 7.88/1.94 % (4026836)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3253630895:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 7.88/1.94 % (4026837)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=509263101:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.88/1.94 % (4026834)------------------------------
% 7.88/1.94 % (4026834)------------------------------
% 7.88/1.94 % (4026806)First to succeed.
% 7.88/1.94 % (4026806)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4026800"
% 7.88/1.94 % (4026841)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1560635546:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.88/1.94 % (4026836)Instruction limit reached!
% 7.88/1.94 % (4026836)------------------------------
% 7.88/1.94 % (4026836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026836)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026836)Termination reason: Instruction limit
% 7.88/1.94 % (4026836)Termination phase: Saturation
% 7.88/1.94 % (4026836)Time elapsed: 0.136 s
% 7.88/1.94 % (4026836)Peak memory usage: 90 MB
% 7.88/1.94 % (4026836)Instructions burned: 242 (million)
% 7.88/1.94 % (4026841)Instruction limit reached!
% 7.88/1.94 % (4026841)------------------------------
% 7.88/1.94 % (4026841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026841)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026841)Termination reason: Instruction limit
% 7.88/1.94 % (4026841)Termination phase: Saturation
% 7.88/1.94 % (4026841)Time elapsed: 0.045 s
% 7.88/1.94 % (4026841)Peak memory usage: 90 MB
% 7.88/1.94 % (4026841)Instructions burned: 136 (million)
% 7.88/1.94 % (4026844)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1271714323:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 7.88/1.94 % (4026843)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=816795226:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 7.88/1.94 % (4026844)Instruction limit reached!
% 7.88/1.94 % (4026844)------------------------------
% 7.88/1.94 % (4026844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.94 % (4026844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.94 % (4026844)CaDiCaL version: 2.1.3
% 7.88/1.94 % (4026844)Termination reason: Instruction limit
% 7.88/1.94 % (4026844)Termination phase: Saturation
% 7.88/1.94 % (4026844)Time elapsed: 0.062 s
% 7.88/1.94 % (4026844)Peak memory usage: 90 MB
% 7.88/1.94 % (4026844)Instructions burned: 191 (million)
% 7.88/1.94 % (4026806)Refutation found. Thanks to Tanya!
% 7.88/1.94 % SZS status Unsatisfiable for theBenchmark
% 7.88/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.14 % (4026806)------------------------------
% 0.19/2.14 % (4026806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.14 % (4026806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.14 % (4026806)CaDiCaL version: 2.1.3
% 0.19/2.14 % (4026806)Termination reason: Refutation
% 0.19/2.14 % (4026806)Time elapsed: 0.871 s
% 0.19/2.14 % (4026806)Peak memory usage: 132 MB
% 0.19/2.14 % (4026806)Instructions burned: 1345 (million)
% 0.19/2.14 % (4026806)------------------------------
% 0.19/2.14 % (4026806)------------------------------
% 0.19/2.14 % (4026800)Success in time 1.277 s
% 0.19/2.14 % Vampire exiting
%------------------------------------------------------------------------------