%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP071-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 10:12:31 AM UTC 2026
% Result : Unsatisfiable 9.80s 2.38s
% Output : Refutation 10.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of formulae : 67 ( 62 unt; 0 def)
% Number of atoms : 76 ( 75 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 271 ( 271 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,divide(X2,X0))),divide(divide(divide(divide(X5,X4),X3),inverse(divide(X3,divide(X0,divide(X4,X5))))),X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X2,divide(X0,divide(X3,X4)))) = divide(inverse(divide(X1,X0)),divide(divide(X2,divide(X4,X3)),X1)),
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = divide(inverse(X0),divide(divide(X2,X1),inverse(divide(divide(X1,X2),divide(X0,divide(X3,X4)))))),
inference(superposition,[],[f1,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,divide(X2,divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(X0,divide(X4,X3)))))))),divide(X0,X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(divide(X2,X3),inverse(divide(divide(X3,X2),divide(X4,divide(X1,X0))))),inverse(X4)) = divide(inverse(X5),divide(divide(X6,X7),inverse(divide(divide(X7,X6),divide(X5,divide(X0,X1)))))),
inference(superposition,[],[f8,f8]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,divide(X2,X3)) = divide(inverse(inverse(divide(X1,divide(X0,divide(X3,X2))))),divide(divide(X4,X5),inverse(divide(divide(X5,X4),X0)))),
inference(superposition,[],[f8,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4] : divide(X1,X0) = divide(divide(divide(X2,X3),inverse(divide(divide(X3,X2),divide(X4,divide(X1,X0))))),inverse(X4)),
inference(forward_demodulation,[],[f15,f8]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(inverse(divide(X1,divide(X0,divide(X2,X3)))),divide(X4,divide(X1,divide(X3,X2))))) = divide(inverse(divide(X5,X4)),divide(X0,X5)),
inference(superposition,[],[f7,f1]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(inverse(divide(X4,divide(X5,divide(divide(divide(X0,divide(X3,X2)),X6),inverse(divide(X6,X1)))))),divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),X4)) = X5,
inference(superposition,[],[f1,f7]) ).
fof(f210,plain,
! [X2,X0,X1,X6] : divide(inverse(divide(X0,X1)),divide(X2,X0)) = divide(inverse(divide(X6,X1)),divide(X2,X6)),
inference(superposition,[],[f29,f29]) ).
fof(f577,plain,
! [X0,X8,X6,X7] : divide(divide(divide(X6,X7),inverse(divide(divide(X7,X6),divide(X8,X0)))),inverse(X8)) = X0,
inference(superposition,[],[f22,f9]) ).
fof(f1020,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(inverse(divide(divide(X1,X2),divide(X3,divide(divide(divide(X2,divide(inverse(divide(X4,divide(X1,divide(X5,X6)))),divide(divide(X6,X5),X4))),X7),inverse(divide(X7,X0)))))),X0) = X3,
inference(superposition,[],[f38,f9]) ).
fof(f1133,plain,
! [X2,X3,X0,X1,X7] : divide(inverse(divide(divide(X1,X2),divide(X3,divide(divide(divide(X2,X1),X7),inverse(divide(X7,X0)))))),X0) = X3,
inference(forward_demodulation,[],[f1020,f1]) ).
fof(f1331,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(X1,X2) = divide(inverse(inverse(divide(divide(X3,X4),divide(X0,divide(divide(divide(X4,X3),X5),inverse(divide(X5,divide(X2,X1)))))))),divide(divide(X6,X7),inverse(divide(divide(X7,X6),X0)))),
inference(superposition,[],[f8,f1133]) ).
fof(f1361,plain,
! [X2,X3,X1,X4,X5] : divide(X1,X2) = divide(divide(X3,X4),divide(inverse(divide(X5,divide(X2,X1))),divide(divide(X4,X3),X5))),
inference(forward_demodulation,[],[f1331,f16]) ).
fof(f1525,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,divide(X2,X3)) = divide(divide(X4,X5),divide(inverse(X0),divide(divide(X5,X4),inverse(divide(X1,divide(X0,divide(X3,X2))))))),
inference(superposition,[],[f1361,f1]) ).
fof(f1565,plain,
! [X2,X3,X0,X1,X4] : divide(X2,divide(X3,X4)) = divide(inverse(inverse(divide(X2,divide(X1,X0)))),divide(divide(X3,X4),inverse(divide(X0,X1)))),
inference(superposition,[],[f8,f1361]) ).
fof(f1803,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(X2,X3),divide(X4,divide(X3,X2))) = divide(divide(X5,X6),divide(inverse(inverse(divide(X4,divide(X1,X0)))),divide(divide(X6,X5),inverse(divide(X0,X1))))),
inference(superposition,[],[f1525,f1361]) ).
fof(f1813,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X0,divide(X3,divide(X2,X1)))),divide(X4,X5)) = divide(inverse(inverse(X3)),divide(divide(X4,X5),inverse(divide(X0,divide(X1,X2))))),
inference(superposition,[],[f8,f1525]) ).
fof(f1814,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X3,X4),inverse(divide(X0,divide(X5,divide(X2,X1))))) = divide(divide(divide(X3,X4),inverse(divide(X0,divide(X1,X2)))),inverse(inverse(X5))),
inference(superposition,[],[f577,f1525]) ).
fof(f1937,plain,
! [X2,X3,X6,X4,X5] : divide(divide(X2,X3),divide(X4,divide(X3,X2))) = divide(divide(X5,X6),divide(X4,divide(X6,X5))),
inference(forward_demodulation,[],[f1803,f1565]) ).
fof(f2214,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(X3,X4),divide(X3,X4)) = divide(divide(X5,X6),divide(inverse(X2),divide(divide(X6,X5),inverse(divide(divide(X0,X1),divide(X2,divide(X1,X0))))))),
inference(superposition,[],[f1525,f1937]) ).
fof(f2338,plain,
! [X3,X0,X1,X4] : divide(divide(X3,X4),divide(X3,X4)) = divide(divide(X0,X1),divide(X0,X1)),
inference(forward_demodulation,[],[f2214,f1525]) ).
fof(f2456,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(divide(X1,X2),divide(X1,X2)),
inference(superposition,[],[f2338,f577]) ).
fof(f2736,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f2456,f2456]) ).
fof(f2849,plain,
! [X2,X3,X0,X1] : divide(X1,X2) = divide(inverse(X3),divide(divide(divide(X2,X1),X3),inverse(divide(X0,X0)))),
inference(superposition,[],[f8,f2456]) ).
fof(f3309,plain,
! [X2,X3,X0,X1] : inverse(divide(X3,divide(X0,X1))) = divide(inverse(divide(X2,divide(X0,X1))),divide(X3,X2)),
inference(superposition,[],[f9,f2849]) ).
fof(f3310,plain,
! [X2,X0,X1] : inverse(X2) = divide(inverse(divide(divide(X0,X1),divide(X0,X1))),X2),
inference(superposition,[],[f1133,f2849]) ).
fof(f3506,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3310,f2736]) ).
fof(f3531,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(X1,divide(X0,divide(X2,X3)))) = divide(inverse(inverse(X0)),divide(divide(X1,divide(X3,X2)),inverse(divide(divide(X4,X5),divide(X4,X5))))),
inference(superposition,[],[f7,f3310]) ).
fof(f3594,plain,
! [X2,X0,X1] : inverse(divide(divide(X0,X1),divide(X2,divide(X1,X0)))) = X2,
inference(superposition,[],[f1,f3310]) ).
fof(f3618,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(inverse(divide(X0,divide(X1,X2)))),divide(divide(X2,X1),inverse(divide(divide(X3,X4),divide(X3,X4))))) = X0,
inference(superposition,[],[f1,f3310]) ).
fof(f3620,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(inverse(divide(X3,divide(X4,divide(divide(divide(X2,X1),inverse(divide(divide(X5,X6),divide(X5,X6)))),inverse(inverse(divide(X0,divide(X1,X2)))))))),divide(X0,X3)) = X4,
inference(superposition,[],[f9,f3310]) ).
fof(f3641,plain,
! [X2,X0,X1,X6,X4,X5] : inverse(divide(X0,divide(X4,divide(divide(divide(X2,X1),inverse(divide(divide(X5,X6),divide(X5,X6)))),inverse(inverse(divide(X0,divide(X1,X2)))))))) = X4,
inference(forward_demodulation,[],[f3620,f3309]) ).
fof(f3643,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(X3,X4),divide(divide(X0,divide(X1,X2)),divide(X4,X3)))),divide(X2,X1)) = X0,
inference(forward_demodulation,[],[f3618,f1813]) ).
fof(f3679,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(X1,divide(X0,divide(X2,X3)))) = divide(inverse(divide(divide(X4,X5),divide(X0,divide(X5,X4)))),divide(X1,divide(X3,X2))),
inference(forward_demodulation,[],[f3531,f1813]) ).
fof(f3688,plain,
! [X2,X0,X1,X6,X4,X5] : inverse(divide(X0,divide(X4,divide(divide(X2,X1),inverse(divide(divide(X5,X6),divide(divide(X0,divide(X1,X2)),divide(X6,X5)))))))) = X4,
inference(forward_demodulation,[],[f3641,f1814]) ).
fof(f3690,plain,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X2,X1)) = X0,
inference(forward_demodulation,[],[f3643,f3594]) ).
fof(f3703,plain,
! [X2,X3,X0,X1] : inverse(divide(X1,divide(X0,divide(X2,X3)))) = divide(X0,divide(X1,divide(X3,X2))),
inference(forward_demodulation,[],[f3679,f3594]) ).
fof(f3704,plain,
! [X2,X0,X1,X4] : inverse(divide(X0,divide(X4,divide(divide(X2,X1),divide(X0,divide(X1,X2)))))) = X4,
inference(forward_demodulation,[],[f3688,f3594]) ).
fof(f3710,plain,
! [X2,X0,X1,X4] : divide(X4,divide(X0,divide(divide(X0,divide(X1,X2)),divide(X2,X1)))) = X4,
inference(forward_demodulation,[],[f3704,f3703]) ).
fof(f3713,plain,
! [X0,X4] : divide(X4,divide(X0,X0)) = X4,
inference(forward_demodulation,[],[f3710,f3690]) ).
fof(f3742,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X1,divide(X2,X0))),divide(divide(divide(divide(X3,X3),X4),inverse(divide(X4,X0))),X1)) = X2,
inference(superposition,[],[f6,f3713]) ).
fof(f3772,plain,
! [X2,X0,X1] : inverse(divide(X0,X1)) = divide(inverse(divide(X2,X1)),divide(X0,X2)),
inference(superposition,[],[f210,f3713]) ).
fof(f3773,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X0,X1)) = inverse(divide(inverse(divide(X2,divide(X0,divide(X3,X4)))),divide(X1,divide(X2,divide(X4,X3))))),
inference(superposition,[],[f29,f3713]) ).
fof(f3784,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X1,X0),X2),inverse(divide(X2,X3))) = divide(inverse(divide(X0,X1)),X3),
inference(superposition,[],[f1133,f3713]) ).
fof(f3929,plain,
! [X2,X3,X0,X1,X4] : divide(X1,divide(inverse(divide(X2,divide(X0,divide(X3,X4)))),divide(divide(X4,X3),X2))) = inverse(divide(X0,X1)),
inference(forward_demodulation,[],[f3773,f3703]) ).
fof(f3949,plain,
! [X2,X3,X0,X4] : inverse(divide(divide(divide(divide(X3,X3),X4),inverse(divide(X4,X0))),divide(X2,X0))) = X2,
inference(forward_demodulation,[],[f3742,f3309]) ).
fof(f3993,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(forward_demodulation,[],[f3929,f1]) ).
fof(f4006,plain,
! [X2,X3,X0] : inverse(divide(divide(inverse(divide(X3,X3)),X0),divide(X2,X0))) = X2,
inference(forward_demodulation,[],[f3949,f3784]) ).
fof(f4041,plain,
! [X2,X3,X0] : divide(divide(X2,X0),divide(inverse(divide(X3,X3)),X0)) = X2,
inference(forward_demodulation,[],[f4006,f3993]) ).
fof(f4064,plain,
! [X2,X0] : divide(divide(X2,X0),inverse(X0)) = X2,
inference(forward_demodulation,[],[f4041,f3506]) ).
fof(f4116,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[],[f4064,f2736]) ).
fof(f4158,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X1,X2)),divide(divide(X0,X3),X1)) = divide(inverse(divide(inverse(X3),X2)),X0),
inference(superposition,[],[f210,f4064]) ).
fof(f4233,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X1,X2)),divide(divide(X0,X3),X1)) = divide(divide(X2,inverse(X3)),X0),
inference(forward_demodulation,[],[f4158,f3993]) ).
fof(f4326,plain,
! [X2,X3,X0] : divide(divide(X2,inverse(X3)),X0) = inverse(divide(divide(X0,X3),X2)),
inference(forward_demodulation,[],[f4233,f3772]) ).
fof(f4393,plain,
! [X2,X3,X0] : divide(X2,divide(X0,X3)) = divide(divide(X2,inverse(X3)),X0),
inference(forward_demodulation,[],[f4326,f3993]) ).
fof(f8653,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(superposition,[],[f5,f4393]) ).
fof(f8658,plain,
( divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)) ),
inference(forward_subsumption_resolution,[],[f8653,f4116]) ).
fof(f8829,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3)),
inference(forward_subsumption_resolution,[],[f8658,f2736]) ).
fof(f8971,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f8829,f3993]) ).
fof(f8972,plain,
$false,
inference(trivial_inequality_removal,[],[f8971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP071-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n004.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 09:17:52 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 9.80/2.38 % (3241901)Input is clausal, will run a generic CNF schedule.
% 9.80/2.38 % (3241952)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1543600609:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.80/2.38 % (3241953)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=393361999:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.80/2.38 % (3241950)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=2066188116:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.80/2.38 % (3241955)lrs+10_1_sil=8000:sp=occurrence:random_seed=1597774878:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.80/2.38 % (3241956)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3932553288:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.80/2.38 % (3241959)dis-21_1_sil=8000:lcm=predicate:random_seed=3083159952: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)
% 9.80/2.38 % (3241959)Refutation not found, incomplete strategy
% 9.80/2.38 % (3241959)------------------------------
% 9.80/2.38 % (3241959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3241959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3241959)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3241959)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.38 % (3241959)Time elapsed: 0.001 s
% 9.80/2.38 % (3241959)Peak memory usage: 88 MB
% 9.80/2.38 % (3241957)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2098525446:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.80/2.38 % (3241955)Instruction limit reached!
% 9.80/2.38 % (3241955)------------------------------
% 9.80/2.38 % (3241955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3241955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3241955)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3241955)Termination reason: Instruction limit
% 9.80/2.38 % (3241955)Termination phase: Saturation
% 9.80/2.38 % (3241955)Time elapsed: 0.067 s
% 9.80/2.38 % (3241955)Peak memory usage: 89 MB
% 9.80/2.38 % (3241955)Instructions burned: 107 (million)
% 9.80/2.38 % (3241956)Instruction limit reached!
% 9.80/2.38 % (3241956)------------------------------
% 9.80/2.38 % (3241956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3241956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3241956)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3241956)Termination reason: Instruction limit
% 9.80/2.38 % (3241956)Termination phase: Saturation
% 9.80/2.38 % (3241956)Time elapsed: 0.072 s
% 9.80/2.38 % (3241956)Peak memory usage: 89 MB
% 9.80/2.38 % (3241956)Instructions burned: 115 (million)
% 9.80/2.38 % (3241957)Instruction limit reached!
% 9.80/2.38 % (3241957)------------------------------
% 9.80/2.38 % (3241957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3241957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3241957)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3241957)Termination reason: Instruction limit
% 9.80/2.38 % (3241957)Termination phase: Saturation
% 9.80/2.38 % (3241957)Time elapsed: 0.102 s
% 9.80/2.38 % (3241957)Peak memory usage: 90 MB
% 9.80/2.38 % (3241957)Instructions burned: 181 (million)
% 9.80/2.38 % (3242016)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=1663585599:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.80/2.38 % (3242016)Refutation not found, incomplete strategy
% 9.80/2.38 % (3242016)------------------------------
% 9.80/2.38 % (3242016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242016)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242016)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.38 % (3242016)Time elapsed: 0.001 s
% 9.80/2.38 % (3242016)Peak memory usage: 88 MB
% 9.80/2.38 % (3242017)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1388647384: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)
% 9.80/2.38 % (3242017)Refutation not found, incomplete strategy
% 9.80/2.38 % (3242017)------------------------------
% 9.80/2.38 % (3242017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242017)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242017)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.38 % (3242017)Time elapsed: 0.001 s
% 9.80/2.38 % (3242017)Peak memory usage: 88 MB
% 9.80/2.38 % (3241959)------------------------------
% 9.80/2.38 % (3241959)------------------------------
% 9.80/2.38 % (3242034)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3909458978:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.80/2.38 % (3242034)Refutation not found, incomplete strategy
% 9.80/2.38 % (3242034)------------------------------
% 9.80/2.38 % (3242034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242034)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242034)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.38 % (3242034)Time elapsed: 0.001 s
% 9.80/2.38 % (3242034)Peak memory usage: 88 MB
% 9.80/2.38 % (3242079)lrs+10_64_to=lpo:sil=8000:random_seed=1236583911:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.80/2.38 % (3242016)------------------------------
% 9.80/2.38 % (3242016)------------------------------
% 9.80/2.38 % (3242017)------------------------------
% 9.80/2.38 % (3242017)------------------------------
% 9.80/2.38 % (3242079)Instruction limit reached!
% 9.80/2.38 % (3242079)------------------------------
% 9.80/2.38 % (3242079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242079)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242079)Termination reason: Instruction limit
% 9.80/2.38 % (3242079)Termination phase: Saturation
% 9.80/2.38 % (3242079)Time elapsed: 0.078 s
% 9.80/2.38 % (3242079)Peak memory usage: 90 MB
% 9.80/2.38 % (3242079)Instructions burned: 126 (million)
% 9.80/2.38 % (3242034)------------------------------
% 9.80/2.38 % (3242034)------------------------------
% 9.80/2.38 % (3242082)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3657310392:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 9.80/2.38 % (3242083)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=560122944:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 9.80/2.38 % (3242084)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2194506776:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 9.80/2.38 % (3242085)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=139212107:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.80/2.38 % (3242083)Instruction limit reached!
% 9.80/2.38 % (3242083)------------------------------
% 9.80/2.38 % (3242083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242083)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242083)Termination reason: Instruction limit
% 9.80/2.38 % (3242083)Termination phase: Saturation
% 9.80/2.38 % (3242083)Time elapsed: 0.093 s
% 9.80/2.38 % (3242083)Peak memory usage: 91 MB
% 9.80/2.38 % (3242083)Instructions burned: 157 (million)
% 9.80/2.38 % (3242082)Instruction limit reached!
% 9.80/2.38 % (3242082)------------------------------
% 9.80/2.38 % (3242082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242082)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242082)Termination reason: Instruction limit
% 9.80/2.38 % (3242082)Termination phase: Saturation
% 9.80/2.38 % (3242082)Time elapsed: 0.116 s
% 9.80/2.38 % (3242082)Peak memory usage: 90 MB
% 9.80/2.38 % (3242082)Instructions burned: 194 (million)
% 9.80/2.38 % (3242085)Instruction limit reached!
% 9.80/2.38 % (3242085)------------------------------
% 9.80/2.38 % (3242085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242085)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242085)Termination reason: Instruction limit
% 9.80/2.38 % (3242085)Termination phase: Saturation
% 9.80/2.38 % (3242085)Time elapsed: 0.070 s
% 9.80/2.38 % (3242085)Peak memory usage: 89 MB
% 9.80/2.38 % (3242085)Instructions burned: 107 (million)
% 9.80/2.38 % (3242090)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1746235080:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 9.80/2.38 % (3242090)Refutation not found, incomplete strategy
% 9.80/2.38 % (3242090)------------------------------
% 9.80/2.38 % (3242090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242090)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242090)Termination reason: Refutation not found, incomplete strategy
% 9.80/2.38 % (3242090)Time elapsed: 0.001 s
% 9.80/2.38 % (3242090)Peak memory usage: 88 MB
% 9.80/2.38 % (3242091)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3413376431:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 9.80/2.38 % (3242092)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1844653019:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 9.80/2.38 % (3242091)Instruction limit reached!
% 9.80/2.38 % (3242091)------------------------------
% 9.80/2.38 % (3242091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242091)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242091)Termination reason: Instruction limit
% 9.80/2.38 % (3242091)Termination phase: Saturation
% 9.80/2.38 % (3242091)Time elapsed: 0.131 s
% 9.80/2.38 % (3242091)Peak memory usage: 92 MB
% 9.80/2.38 % (3242091)Instructions burned: 242 (million)
% 9.80/2.38 % (3241952)First to succeed.
% 9.80/2.38 % (3241952)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3241901"
% 9.80/2.38 % (3242090)------------------------------
% 9.80/2.38 % (3242090)------------------------------
% 9.80/2.38 % (3242096)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2004152386:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 9.80/2.38 % (3242096)Instruction limit reached!
% 9.80/2.38 % (3242096)------------------------------
% 9.80/2.38 % (3242096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.38 % (3242096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.38 % (3242096)CaDiCaL version: 2.1.3
% 9.80/2.38 % (3242096)Termination reason: Instruction limit
% 9.80/2.38 % (3242096)Termination phase: Saturation
% 9.80/2.38 % (3242096)Time elapsed: 0.083 s
% 9.80/2.38 % (3242096)Peak memory usage: 90 MB
% 9.80/2.38 % (3242096)Instructions burned: 134 (million)
% 9.80/2.38 % (3242097)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2621026521:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 9.80/2.38 % (3241952)Refutation found. Thanks to Tanya!
% 9.80/2.38 % SZS status Unsatisfiable for theBenchmark
% 9.80/2.38 % SZS output start Proof for theBenchmark
% See solution above
% 10.80/2.58 % (3241952)------------------------------
% 10.80/2.58 % (3241952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.80/2.58 % (3241952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.80/2.58 % (3241952)CaDiCaL version: 2.1.3
% 10.80/2.58 % (3241952)Termination reason: Refutation
% 10.80/2.58 % (3241952)Time elapsed: 1.057 s
% 10.80/2.58 % (3241952)Peak memory usage: 141 MB
% 10.80/2.58 % (3241952)Instructions burned: 2131 (million)
% 10.80/2.58 % (3241952)------------------------------
% 10.80/2.58 % (3241952)------------------------------
% 10.80/2.58 % (3241901)Success in time 1.458 s
% 10.80/2.58 % Vampire exiting
%------------------------------------------------------------------------------