%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP429-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:13:59 AM UTC 2026
% Result : Unsatisfiable 13.58s 2.83s
% Output : Refutation 14.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 2
% Syntax : Number of formulae : 87 ( 87 unt; 0 def)
% Number of atoms : 87 ( 86 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 278 ( 278 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(X1)),X0))),X4),inverse(multiply(X3,X4)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X0)),X5),inverse(multiply(X2,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(multiply(inverse(X2),X0)),X3),inverse(multiply(X2,X3)))) = multiply(X1,inverse(multiply(multiply(inverse(X0),X4),inverse(multiply(inverse(X1),X4))))),
inference(superposition,[],[f1,f47]) ).
fof(f146,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(inverse(X0),X3)))))) = X2,
inference(superposition,[],[f1,f88]) ).
fof(f148,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(X0,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X0),X2))))))) = X1,
inference(superposition,[],[f47,f88]) ).
fof(f250,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(X3),inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X2)),X0))),X5),inverse(multiply(X4,X5))))),inverse(X0)))))) = X3,
inference(superposition,[],[f148,f1]) ).
fof(f259,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),multiply(inverse(X2),X0)) = multiply(inverse(X1),multiply(X1,X0)),
inference(superposition,[],[f148,f1]) ).
fof(f305,plain,
! [X3,X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X3),multiply(X3,X1)),
inference(superposition,[],[f259,f259]) ).
fof(f323,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(X3),X1))),X6),inverse(multiply(X5,X6))))) = inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X0),multiply(X0,X1)))),X4),inverse(multiply(X2,X4)))),
inference(superposition,[],[f3,f259]) ).
fof(f326,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X3),inverse(multiply(inverse(X2),X3))))) = X1,
inference(superposition,[],[f1,f259]) ).
fof(f386,plain,
! [X2,X0,X1,X4] : inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X0),multiply(X0,X1)))),X4),inverse(multiply(X2,X4)))) = X1,
inference(forward_demodulation,[],[f323,f1]) ).
fof(f912,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X0,inverse(X0)))))) = X2,
inference(superposition,[],[f250,f326]) ).
fof(f1005,plain,
! [X2,X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(inverse(X0),X2)))),
inference(superposition,[],[f386,f912]) ).
fof(f1091,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[],[f1005,f1005]) ).
fof(f1153,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X0,inverse(X0))))) = X2,
inference(superposition,[],[f146,f1005]) ).
fof(f1420,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X3,inverse(X3)) = multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X2)),X5))),X6),inverse(multiply(X4,X6))))),inverse(X5)))))),
inference(superposition,[],[f250,f1091]) ).
fof(f1439,plain,
! [X3,X0] : multiply(X0,inverse(X0)) = multiply(X3,inverse(X3)),
inference(forward_demodulation,[],[f1420,f250]) ).
fof(f1538,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X0,inverse(X0))) = multiply(inverse(X1),multiply(X1,inverse(X2))),
inference(superposition,[],[f305,f1439]) ).
fof(f1578,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,multiply(X0,inverse(X0))),
inference(superposition,[],[f1153,f1439]) ).
fof(f1588,plain,
! [X2,X1] : inverse(inverse(inverse(X2))) = multiply(inverse(X1),multiply(X1,inverse(X2))),
inference(forward_demodulation,[],[f1538,f1578]) ).
fof(f1974,plain,
! [X0,X4] : inverse(inverse(X0)) = multiply(inverse(X4),multiply(X4,X0)),
inference(superposition,[],[f1588,f386]) ).
fof(f2127,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(X1,inverse(X1)))))) = X0,
inference(superposition,[],[f912,f1974]) ).
fof(f2247,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X0)))),inverse(X1)),
inference(superposition,[],[f2127,f386]) ).
fof(f2251,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = inverse(inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f2127,f1091]) ).
fof(f2334,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),inverse(inverse(X0)))),inverse(X1)),
inference(forward_demodulation,[],[f2247,f1974]) ).
fof(f2394,plain,
! [X0,X1] : inverse(inverse(multiply(X1,inverse(inverse(inverse(multiply(X0,inverse(X0)))))))) = X1,
inference(superposition,[],[f2127,f2251]) ).
fof(f2400,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),inverse(X2)),inverse(inverse(inverse(multiply(X0,inverse(X0))))))))) = X3,
inference(superposition,[],[f47,f2251]) ).
fof(f2410,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),inverse(X1)),inverse(inverse(inverse(multiply(X0,inverse(X0))))))) = X3,
inference(superposition,[],[f386,f2251]) ).
fof(f2449,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f1153,f2251]) ).
fof(f2503,plain,
! [X2,X0,X1] : inverse(inverse(X1)) = multiply(X1,multiply(inverse(multiply(X2,inverse(X2))),multiply(X0,inverse(X0)))),
inference(superposition,[],[f1578,f2251]) ).
fof(f2509,plain,
! [X2,X1] : inverse(inverse(X1)) = multiply(X1,inverse(inverse(inverse(multiply(X2,inverse(X2)))))),
inference(forward_demodulation,[],[f2503,f1578]) ).
fof(f2565,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X1),inverse(inverse(X3)))),inverse(X1)),inverse(inverse(inverse(multiply(X0,inverse(X0))))))) = X3,
inference(forward_demodulation,[],[f2410,f1974]) ).
fof(f2574,plain,
! [X2,X3,X0] : inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),inverse(X2)),inverse(inverse(inverse(multiply(X0,inverse(X0))))))))) = X3,
inference(forward_demodulation,[],[f2400,f1588]) ).
fof(f2608,plain,
! [X3,X1] : inverse(inverse(inverse(multiply(inverse(multiply(inverse(X1),inverse(inverse(X3)))),inverse(X1))))) = X3,
inference(forward_demodulation,[],[f2565,f2509]) ).
fof(f2611,plain,
! [X2,X3] : inverse(multiply(inverse(multiply(inverse(X2),X3)),inverse(X2))) = X3,
inference(forward_demodulation,[],[f2574,f2394]) ).
fof(f2619,plain,
! [X3] : inverse(inverse(inverse(inverse(X3)))) = X3,
inference(forward_demodulation,[],[f2608,f2334]) ).
fof(f2629,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(X1)),X0))),X3),inverse(multiply(X2,X3)))) = inverse(multiply(inverse(X0),inverse(X1))),
inference(superposition,[],[f2611,f1]) ).
fof(f2638,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X0)),X3),inverse(multiply(X2,X3))))) = inverse(multiply(inverse(X0),inverse(X1))),
inference(superposition,[],[f2611,f47]) ).
fof(f2664,plain,
! [X2,X0] : inverse(multiply(inverse(multiply(multiply(X0,inverse(X0)),X2)),multiply(X0,inverse(X0)))) = X2,
inference(superposition,[],[f2611,f2251]) ).
fof(f2677,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(inverse(multiply(X1,inverse(X1))),X0)),
inference(superposition,[],[f2127,f2611]) ).
fof(f2774,plain,
! [X2,X0] : inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X2))))) = X2,
inference(forward_demodulation,[],[f2664,f1578]) ).
fof(f2795,plain,
! [X2,X0] : multiply(multiply(X0,inverse(X0)),X2) = X2,
inference(forward_demodulation,[],[f2774,f2619]) ).
fof(f2838,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(X3)),X1))),X4),inverse(multiply(X2,X4)))) = multiply(X3,inverse(inverse(multiply(X0,inverse(inverse(multiply(inverse(X0),X1))))))),
inference(superposition,[],[f3,f2795]) ).
fof(f2846,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X4),X3)),X5),inverse(multiply(X4,X5))))) = inverse(multiply(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),multiply(inverse(inverse(X2)),X3))),X0),inverse(X0))),
inference(superposition,[],[f3,f2795]) ).
fof(f2847,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(X5,inverse(X5))),X3)),X0),inverse(X0)))),
inference(superposition,[],[f3,f2795]) ).
fof(f2850,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(X2),X4),inverse(multiply(inverse(X3),X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),X2)),X0),inverse(X0))),
inference(superposition,[],[f88,f2795]) ).
fof(f2878,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),X2),inverse(inverse(multiply(X0,inverse(X0)))))) = X2,
inference(superposition,[],[f1153,f2795]) ).
fof(f2882,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f1578,f2795]) ).
fof(f2887,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),X2)),X3),inverse(multiply(inverse(X0),X3))))) = X2,
inference(superposition,[],[f146,f2795]) ).
fof(f2896,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),X3))))) = X2,
inference(forward_demodulation,[],[f2887,f2677]) ).
fof(f2898,plain,
! [X2,X1] : multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2,
inference(forward_demodulation,[],[f2878,f2449]) ).
fof(f2918,plain,
! [X2,X3,X0,X4] : multiply(X3,inverse(multiply(multiply(inverse(X2),X4),inverse(multiply(inverse(X3),X4))))) = inverse(multiply(multiply(inverse(X2),X0),inverse(X0))),
inference(forward_demodulation,[],[f2850,f2677]) ).
fof(f2921,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(X3),X0),inverse(X0)))),
inference(forward_demodulation,[],[f2847,f2677]) ).
fof(f2922,plain,
! [X2,X3,X0,X4,X5] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X4),X3)),X5),inverse(multiply(X4,X5))))) = inverse(multiply(multiply(inverse(multiply(inverse(inverse(X2)),X3)),X0),inverse(X0))),
inference(forward_demodulation,[],[f2846,f2677]) ).
fof(f2925,plain,
! [X3,X0,X1] : multiply(X3,inverse(inverse(multiply(X0,inverse(inverse(multiply(inverse(X0),X1))))))) = inverse(multiply(inverse(X1),inverse(X3))),
inference(forward_demodulation,[],[f2838,f2629]) ).
fof(f2962,plain,
! [X2,X0] : inverse(multiply(multiply(inverse(X2),X0),inverse(X0))) = X2,
inference(forward_demodulation,[],[f2918,f2896]) ).
fof(f2964,plain,
! [X2,X3,X0] : inverse(multiply(inverse(X3),inverse(X2))) = multiply(X2,inverse(multiply(multiply(inverse(X3),X0),inverse(X0)))),
inference(forward_demodulation,[],[f2921,f2629]) ).
fof(f2965,plain,
! [X2,X3,X0] : inverse(multiply(inverse(X3),inverse(X2))) = inverse(multiply(multiply(inverse(multiply(inverse(inverse(X2)),X3)),X0),inverse(X0))),
inference(forward_demodulation,[],[f2922,f2638]) ).
fof(f2967,plain,
! [X3,X1] : inverse(multiply(inverse(X1),inverse(X3))) = multiply(X3,inverse(inverse(X1))),
inference(forward_demodulation,[],[f2925,f2898]) ).
fof(f2983,plain,
! [X2,X3] : multiply(X2,X3) = inverse(multiply(inverse(X3),inverse(X2))),
inference(forward_demodulation,[],[f2964,f2962]) ).
fof(f2984,plain,
! [X2,X3] : multiply(inverse(inverse(X2)),X3) = inverse(multiply(inverse(X3),inverse(X2))),
inference(forward_demodulation,[],[f2965,f2962]) ).
fof(f2991,plain,
! [X2,X3] : multiply(inverse(inverse(X2)),X3) = multiply(X2,inverse(inverse(X3))),
inference(forward_demodulation,[],[f2984,f2967]) ).
fof(f3000,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X1),inverse(X0))) = inverse(multiply(multiply(X0,X1),inverse(X2))),
inference(superposition,[],[f2983,f2983]) ).
fof(f3012,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X0)) = multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(X1))))),X2),
inference(superposition,[],[f2983,f2127]) ).
fof(f3039,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f2611,f2983]) ).
fof(f3067,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X3)),X4),inverse(multiply(multiply(inverse(X1),inverse(X0)),X4)))))) = X3,
inference(superposition,[],[f47,f2983]) ).
fof(f3071,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(inverse(X2),X5),inverse(multiply(inverse(X4),X5))))) = inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X3),inverse(multiply(multiply(inverse(X1),inverse(X0)),X3)))),
inference(superposition,[],[f88,f2983]) ).
fof(f3140,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X3),inverse(multiply(multiply(inverse(X1),inverse(X0)),X3)))) = X2,
inference(forward_demodulation,[],[f3071,f2896]) ).
fof(f3144,plain,
! [X3,X0,X1,X4] : inverse(inverse(inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X3)),X4),inverse(multiply(multiply(inverse(X1),inverse(X0)),X4)))))) = X3,
inference(forward_demodulation,[],[f3067,f1588]) ).
fof(f3175,plain,
! [X2,X0] : inverse(multiply(inverse(X2),X0)) = multiply(inverse(inverse(inverse(X0))),X2),
inference(forward_demodulation,[],[f3012,f2882]) ).
fof(f3208,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X1),inverse(X0)),X3),multiply(inverse(X3),inverse(inverse(multiply(multiply(X0,X1),X2))))) = X2,
inference(forward_demodulation,[],[f3140,f3000]) ).
fof(f3211,plain,
! [X3,X0,X1,X4] : inverse(inverse(multiply(multiply(multiply(inverse(X1),inverse(X0)),X4),multiply(inverse(X4),inverse(inverse(multiply(multiply(X0,X1),X3))))))) = X3,
inference(forward_demodulation,[],[f3144,f3000]) ).
fof(f3239,plain,
! [X2,X0] : inverse(multiply(inverse(X2),X0)) = multiply(inverse(X0),inverse(inverse(X2))),
inference(forward_demodulation,[],[f3175,f2991]) ).
fof(f3260,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f3211,f3208]) ).
fof(f3443,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(X0,multiply(inverse(X0),X2)),
inference(superposition,[],[f305,f3260]) ).
fof(f3474,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[],[f2983,f3260]) ).
fof(f3498,plain,
! [X2,X1] : multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(forward_demodulation,[],[f3443,f3039]) ).
fof(f3789,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(multiply(X1,X0)),X4),inverse(multiply(inverse(X3),X4))))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))),
inference(superposition,[],[f88,f3498]) ).
fof(f3878,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(multiply(X1,X0)),X4),inverse(multiply(inverse(X3),X4))))) = multiply(multiply(X1,X2),multiply(inverse(X2),inverse(inverse(X0)))),
inference(forward_demodulation,[],[f3789,f3000]) ).
fof(f3955,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(multiply(X1,X0)),X4),inverse(multiply(inverse(X3),X4))))) = multiply(multiply(X1,X2),inverse(multiply(inverse(X0),X2))),
inference(forward_demodulation,[],[f3878,f3239]) ).
fof(f4009,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(multiply(X1,X0)),X4),inverse(multiply(inverse(X3),X4))))) = multiply(multiply(X1,X2),multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f3955,f3474]) ).
fof(f4053,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X2),multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f4009,f2896]) ).
fof(f6823,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f4053,f3498]) ).
fof(f7394,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f6823]) ).
fof(f7451,plain,
$false,
inference(trivial_inequality_removal,[],[f7394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP429-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:06:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 13.58/2.83 % (268559)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.58/2.83 % (268570)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2381574402:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 13.58/2.83 % (268569)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1868114497:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 13.58/2.83 % (268565)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2120448791:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 13.58/2.83 % (268564)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1457362048:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 13.58/2.83 % (268568)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2460310707:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 13.58/2.83 % (268566)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3983647160:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 13.58/2.83 % (268567)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2528894169:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 13.58/2.83 % (268567)Instruction limit reached!
% 13.58/2.83 % (268567)------------------------------
% 13.58/2.83 % (268567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268567)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268567)Termination reason: Instruction limit
% 13.58/2.83 % (268567)Termination phase: Saturation
% 13.58/2.83 % (268567)Time elapsed: 0.077 s
% 13.58/2.83 % (268567)Peak memory usage: 89 MB
% 13.58/2.83 % (268567)Instructions burned: 137 (million)
% 13.58/2.83 % (268568)Instruction limit reached!
% 13.58/2.83 % (268568)------------------------------
% 13.58/2.83 % (268568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268568)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268568)Termination reason: Instruction limit
% 13.58/2.83 % (268568)Termination phase: Saturation
% 13.58/2.83 % (268568)Time elapsed: 0.095 s
% 13.58/2.83 % (268568)Peak memory usage: 89 MB
% 13.58/2.83 % (268568)Instructions burned: 183 (million)
% 13.58/2.83 % (268569)Instruction limit reached!
% 13.58/2.83 % (268569)------------------------------
% 13.58/2.83 % (268569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268569)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268569)Termination reason: Instruction limit
% 13.58/2.83 % (268569)Termination phase: Saturation
% 13.58/2.83 % (268569)Time elapsed: 0.158 s
% 13.58/2.83 % (268569)Peak memory usage: 90 MB
% 13.58/2.83 % (268569)Instructions burned: 257 (million)
% 13.58/2.83 % (268578)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2277650742:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 13.58/2.83 % (268579)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2924157930:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 13.58/2.83 % (268570)Instruction limit reached!
% 13.58/2.83 % (268570)------------------------------
% 13.58/2.83 % (268570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268570)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268570)Termination reason: Instruction limit
% 13.58/2.83 % (268570)Termination phase: Saturation
% 13.58/2.83 % (268570)Time elapsed: 0.328 s
% 13.58/2.83 % (268570)Peak memory usage: 97 MB
% 13.58/2.83 % (268570)Instructions burned: 1187 (million)
% 13.58/2.83 % (268580)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3111008577:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 13.58/2.83 % (268583)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=4127254724:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 13.58/2.83 % (268580)Instruction limit reached!
% 13.58/2.83 % (268580)------------------------------
% 13.58/2.83 % (268580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268580)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268580)Termination reason: Instruction limit
% 13.58/2.83 % (268580)Termination phase: Saturation
% 13.58/2.83 % (268580)Time elapsed: 0.125 s
% 13.58/2.83 % (268580)Peak memory usage: 90 MB
% 13.58/2.83 % (268580)Instructions burned: 215 (million)
% 13.58/2.83 % (268583)Instruction limit reached!
% 13.58/2.83 % (268583)------------------------------
% 13.58/2.83 % (268583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268583)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268583)Termination reason: Instruction limit
% 13.58/2.83 % (268583)Termination phase: Saturation
% 13.58/2.83 % (268583)Time elapsed: 0.081 s
% 13.58/2.83 % (268583)Peak memory usage: 90 MB
% 13.58/2.83 % (268583)Instructions burned: 320 (million)
% 13.58/2.83 % (268587)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1040617356:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2993 on theBenchmark for (2993ds/2836Mi)
% 13.58/2.83 % (268586)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3705437331:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 13.58/2.83 % (268578)Instruction limit reached!
% 13.58/2.83 % (268578)------------------------------
% 13.58/2.83 % (268578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268578)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268578)Termination reason: Instruction limit
% 13.58/2.83 % (268578)Termination phase: Saturation
% 13.58/2.83 % (268578)Time elapsed: 1.224 s
% 13.58/2.83 % (268578)Peak memory usage: 141 MB
% 13.58/2.83 % (268578)Instructions burned: 2053 (million)
% 13.58/2.83 % (268587)Instruction limit reached!
% 13.58/2.83 % (268587)------------------------------
% 13.58/2.83 % (268587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.58/2.83 % (268587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.83 % (268587)CaDiCaL version: 2.1.3
% 13.58/2.83 % (268587)Termination reason: Instruction limit
% 13.58/2.83 % (268587)Termination phase: Saturation
% 13.58/2.83 % (268587)Time elapsed: 0.913 s
% 13.58/2.83 % (268587)Peak memory usage: 118 MB
% 13.58/2.83 % (268587)Instructions burned: 2838 (million)
% 13.58/2.83 % (268591)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=2373342460:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2983 on theBenchmark for (2983ds/11832Mi)
% 13.58/2.83 % (268590)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2346960880:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2984 on theBenchmark for (2984ds/14534Mi)
% 13.58/2.83 % (268579)First to succeed.
% 13.58/2.83 % (268579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-268559"
% 13.58/2.83 % (268565)Also succeeded, but the first one will report.
% 13.58/2.83 % (268579)Refutation found. Thanks to Tanya!
% 13.58/2.83 % SZS status Unsatisfiable for theBenchmark
% 13.58/2.83 % SZS output start Proof for theBenchmark
% See solution above
% 14.63/3.03 % (268579)------------------------------
% 14.63/3.03 % (268579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.63/3.03 % (268579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/3.03 % (268579)CaDiCaL version: 2.1.3
% 14.63/3.03 % (268579)Termination reason: Refutation
% 14.63/3.03 % (268579)Time elapsed: 1.369 s
% 14.63/3.03 % (268579)Peak memory usage: 142 MB
% 14.63/3.03 % (268579)Instructions burned: 2328 (million)
% 14.63/3.03 % (268579)------------------------------
% 14.63/3.03 % (268579)------------------------------
% 14.63/3.03 % (268559)Success in time 1.995 s
% 14.63/3.03 % Vampire exiting
%------------------------------------------------------------------------------