%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MVA003-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:05:51 PM UTC 2026
% Result : Unsatisfiable 35.31s 5.89s
% Output : Refutation 35.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of formulae : 155 ( 155 unt; 1 def)
% Number of atoms : 155 ( 145 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 305 ( 305 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f3,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_a) ).
fof(f8,axiom,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_b) ).
fof(f9,axiom,
! [X2,X0,X1] : join(op(X0,meet(ld(X0,X1),X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',residual_a) ).
fof(f10,axiom,
! [X2,X0,X1] : join(op(meet(X0,rd(X1,X2)),X2),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',residual_b) ).
fof(f11,axiom,
! [X2,X0,X1] : meet(ld(X0,join(op(X0,X1),X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',residual_c) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(rd(join(op(X0,X1),X2),X1),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',residual_d) ).
fof(f13,axiom,
! [X2,X0,X1] : op(op(X0,X1),X2) = op(X0,op(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monoid_associativity) ).
fof(f14,axiom,
! [X0] : op(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_monoid_unit) ).
fof(f15,axiom,
! [X0] : op(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_monoid_unit) ).
fof(f16,axiom,
! [X0,X1] : join(X0,X1) = rd(X0,ld(join(X0,X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',generalized_mv_algebra_a) ).
fof(f17,axiom,
! [X0,X1] : join(X0,X1) = ld(rd(X0,join(X0,X1)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',generalized_mv_algebra_b) ).
fof(f18,axiom,
! [X0,X1] : at(X0,X1) = op(op(X0,ld(X0,unit)),ld(ld(X1,unit),unit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_at) ).
fof(f19,negated_conjecture,
at(x,at(y,z)) != at(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f20,plain,
op(op(x,ld(x,unit)),ld(ld(op(op(y,ld(y,unit)),ld(ld(z,unit),unit)),unit),unit)) != op(op(x,ld(x,unit)),ld(ld(z,unit),unit)),
inference(definition_unfolding,[],[f19,f18,f18,f18]) ).
fof(f21,definition,
~ sP0(op(op(x,ld(x,unit)),ld(ld(op(op(y,ld(y,unit)),ld(ld(z,unit),unit)),unit),unit))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f22,plain,
sP0(op(op(x,ld(x,unit)),ld(ld(z,unit),unit))),
inference(inequality_splitting,[],[f20,f21]) ).
fof(f23,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f7,f6]) ).
fof(f24,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f8,f5]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X1,op(X0,meet(ld(X0,X1),X2))) = X1,
inference(forward_demodulation,[],[f9,f6]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X1,op(meet(X0,rd(X1,X2)),X2)) = X1,
inference(forward_demodulation,[],[f10,f6]) ).
fof(f27,plain,
! [X2,X0,X1] : meet(X1,ld(X0,join(op(X0,X1),X2))) = X1,
inference(forward_demodulation,[],[f11,f5]) ).
fof(f28,plain,
! [X2,X0,X1] : meet(X0,rd(join(op(X0,X1),X2),X1)) = X0,
inference(forward_demodulation,[],[f12,f5]) ).
fof(f29,plain,
~ sP0(op(x,op(ld(x,unit),ld(ld(op(op(y,ld(y,unit)),ld(ld(z,unit),unit)),unit),unit)))),
inference(backward_demodulation,[],[f21,f13]) ).
fof(f30,plain,
sP0(op(x,op(ld(x,unit),ld(ld(z,unit),unit)))),
inference(forward_demodulation,[],[f22,f13]) ).
fof(f31,plain,
~ sP0(op(x,op(ld(x,unit),ld(ld(op(y,op(ld(y,unit),ld(ld(z,unit),unit))),unit),unit)))),
inference(forward_demodulation,[],[f29,f13]) ).
fof(f44,plain,
! [X0,X1] : meet(X1,ld(X0,op(X0,X1))) = X1,
inference(superposition,[],[f27,f25]) ).
fof(f45,plain,
! [X0,X1] : join(X1,op(X0,ld(X0,X1))) = X1,
inference(superposition,[],[f25,f27]) ).
fof(f54,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f24,f6]) ).
fof(f55,plain,
! [X2,X0,X1] : meet(X2,ld(X1,join(X0,op(X1,X2)))) = X2,
inference(superposition,[],[f27,f6]) ).
fof(f58,plain,
! [X2,X0,X1] : join(X2,op(X1,meet(X0,ld(X1,X2)))) = X2,
inference(superposition,[],[f25,f5]) ).
fof(f59,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f23,f5]) ).
fof(f60,plain,
! [X0] : join(X0,ld(unit,X0)) = X0,
inference(superposition,[],[f45,f14]) ).
fof(f61,plain,
! [X2,X0,X1] : join(X2,op(X0,op(X1,ld(op(X0,X1),X2)))) = X2,
inference(superposition,[],[f45,f13]) ).
fof(f64,plain,
! [X0] : unit = meet(unit,ld(X0,X0)),
inference(superposition,[],[f44,f15]) ).
fof(f65,plain,
! [X0] : meet(X0,ld(unit,X0)) = X0,
inference(superposition,[],[f44,f14]) ).
fof(f90,plain,
! [X2,X3,X0,X1] : meet(X2,ld(op(X0,X1),join(X3,op(X0,op(X1,X2))))) = X2,
inference(superposition,[],[f55,f13]) ).
fof(f106,plain,
! [X0,X1] : meet(X0,rd(op(X0,X1),X1)) = X0,
inference(superposition,[],[f28,f23]) ).
fof(f108,plain,
! [X2,X0,X1] : meet(X1,rd(join(X0,op(X1,X2)),X2)) = X1,
inference(superposition,[],[f28,f6]) ).
fof(f139,plain,
! [X2,X3,X0,X1] : join(X3,op(X2,meet(X0,meet(X1,ld(X2,X3))))) = X3,
inference(superposition,[],[f58,f1]) ).
fof(f159,plain,
! [X0,X1] : join(X0,op(rd(X0,X1),X1)) = X0,
inference(superposition,[],[f26,f3]) ).
fof(f162,plain,
! [X2,X3,X0,X1] : join(X2,op(meet(X0,meet(X1,rd(X2,X3))),X3)) = X2,
inference(superposition,[],[f26,f1]) ).
fof(f173,plain,
! [X0] : unit = meet(unit,rd(X0,X0)),
inference(superposition,[],[f106,f14]) ).
fof(f174,plain,
! [X2,X0,X1] : op(X0,X1) = meet(op(X0,X1),rd(op(X0,op(X1,X2)),X2)),
inference(superposition,[],[f106,f13]) ).
fof(f195,plain,
! [X0] : ld(rd(X0,X0),X0) = X0,
inference(superposition,[],[f17,f26]) ).
fof(f264,plain,
! [X0] : ld(unit,X0) = meet(ld(unit,X0),X0),
inference(superposition,[],[f54,f60]) ).
fof(f267,plain,
! [X0,X1] : op(X1,ld(X1,X0)) = meet(op(X1,ld(X1,X0)),X0),
inference(superposition,[],[f54,f45]) ).
fof(f276,plain,
! [X0,X1] : op(X1,ld(X1,X0)) = meet(X0,op(X1,ld(X1,X0))),
inference(forward_demodulation,[],[f267,f5]) ).
fof(f279,plain,
! [X0] : ld(unit,X0) = meet(X0,ld(unit,X0)),
inference(forward_demodulation,[],[f264,f5]) ).
fof(f281,plain,
! [X0] : ld(unit,X0) = X0,
inference(forward_demodulation,[],[f279,f65]) ).
fof(f313,plain,
! [X2,X0,X1] : join(X2,op(X1,op(X0,ld(X0,ld(X1,X2))))) = X2,
inference(superposition,[],[f25,f276]) ).
fof(f376,plain,
! [X0,X1] : ld(X1,op(X1,X0)) = join(ld(X1,op(X1,X0)),X0),
inference(superposition,[],[f59,f44]) ).
fof(f380,plain,
! [X0,X1] : rd(op(X0,X1),X1) = join(rd(op(X0,X1),X1),X0),
inference(superposition,[],[f59,f106]) ).
fof(f394,plain,
! [X0,X1] : rd(op(X0,X1),X1) = join(X0,rd(op(X0,X1),X1)),
inference(forward_demodulation,[],[f380,f6]) ).
fof(f397,plain,
! [X0,X1] : ld(X1,op(X1,X0)) = join(X0,ld(X1,op(X1,X0))),
inference(forward_demodulation,[],[f376,f6]) ).
fof(f402,plain,
! [X0] : ld(X0,X0) = join(unit,ld(X0,X0)),
inference(superposition,[],[f397,f15]) ).
fof(f421,plain,
! [X0] : ld(X0,X0) = rd(unit,ld(ld(X0,X0),unit)),
inference(superposition,[],[f16,f402]) ).
fof(f426,plain,
! [X0] : rd(X0,unit) = join(X0,rd(X0,unit)),
inference(superposition,[],[f394,f15]) ).
fof(f534,plain,
! [X0,X1] : meet(X1,rd(X0,ld(X1,X0))) = X1,
inference(superposition,[],[f108,f45]) ).
fof(f560,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = join(rd(X1,ld(X0,X1)),X0),
inference(superposition,[],[f59,f534]) ).
fof(f567,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = join(X0,rd(X1,ld(X0,X1))),
inference(forward_demodulation,[],[f560,f6]) ).
fof(f582,plain,
! [X2,X0,X1] : meet(X2,ld(X1,rd(X0,ld(op(X1,X2),X0)))) = X2,
inference(superposition,[],[f27,f567]) ).
fof(f998,plain,
! [X2,X0,X1] : op(X1,ld(op(X2,X1),X0)) = meet(op(X1,ld(op(X2,X1),X0)),ld(X2,X0)),
inference(superposition,[],[f55,f61]) ).
fof(f1017,plain,
! [X2,X0,X1] : op(X1,ld(op(X2,X1),X0)) = meet(ld(X2,X0),op(X1,ld(op(X2,X1),X0))),
inference(forward_demodulation,[],[f998,f5]) ).
fof(f1037,plain,
! [X2,X0,X1] : ld(X1,X2) = join(ld(X1,X2),op(X0,ld(op(X1,X0),X2))),
inference(superposition,[],[f23,f1017]) ).
fof(f1053,plain,
! [X0] : join(X0,rd(X0,unit)) = X0,
inference(superposition,[],[f159,f15]) ).
fof(f1056,plain,
! [X0,X1] : meet(X1,ld(rd(X0,X1),X0)) = X1,
inference(superposition,[],[f55,f159]) ).
fof(f1075,plain,
! [X0] : rd(X0,unit) = X0,
inference(backward_demodulation,[],[f426,f1053]) ).
fof(f1488,plain,
! [X0,X1] : ld(rd(X1,X0),X1) = join(ld(rd(X1,X0),X1),X0),
inference(superposition,[],[f59,f1056]) ).
fof(f1504,plain,
! [X0,X1] : ld(rd(X1,X0),X1) = join(X0,ld(rd(X1,X0),X1)),
inference(forward_demodulation,[],[f1488,f6]) ).
fof(f1964,plain,
! [X2,X0,X1] : ld(op(X0,X2),X1) = meet(ld(op(X0,X2),X1),ld(X2,ld(X0,X1))),
inference(superposition,[],[f55,f1037]) ).
fof(f1980,plain,
! [X2,X0,X1] : ld(op(X0,X2),X1) = meet(ld(X2,ld(X0,X1)),ld(op(X0,X2),X1)),
inference(forward_demodulation,[],[f1964,f5]) ).
fof(f2359,plain,
! [X2,X0,X1] : op(X0,X1) = join(op(X0,X1),op(meet(X2,X0),X1)),
inference(superposition,[],[f162,f106]) ).
fof(f2362,plain,
! [X2,X0,X1] : join(X1,op(meet(X2,X0),ld(X0,X1))) = X1,
inference(superposition,[],[f162,f534]) ).
fof(f2458,plain,
! [X0,X1] : op(ld(X0,X0),X1) = join(op(ld(X0,X0),X1),op(unit,X1)),
inference(superposition,[],[f2359,f64]) ).
fof(f2496,plain,
! [X0,X1] : op(ld(X0,X0),X1) = join(op(unit,X1),op(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f2458,f6]) ).
fof(f2522,plain,
! [X0,X1] : op(ld(X0,X0),X1) = join(X1,op(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f2496,f14]) ).
fof(f2617,plain,
! [X0,X1] : join(X0,op(unit,ld(ld(X1,X1),X0))) = X0,
inference(superposition,[],[f2362,f64]) ).
fof(f2619,plain,
! [X0,X1] : join(X0,op(unit,ld(rd(X1,X1),X0))) = X0,
inference(superposition,[],[f2362,f173]) ).
fof(f2625,plain,
! [X2,X0,X1] : ld(X1,X0) = meet(ld(X1,X0),ld(meet(X2,X1),X0)),
inference(superposition,[],[f55,f2362]) ).
fof(f2658,plain,
! [X0,X1] : join(X0,ld(rd(X1,X1),X0)) = X0,
inference(forward_demodulation,[],[f2619,f14]) ).
fof(f2660,plain,
! [X0,X1] : join(X0,ld(ld(X1,X1),X0)) = X0,
inference(forward_demodulation,[],[f2617,f14]) ).
fof(f2734,plain,
! [X0,X1] : ld(rd(X1,X1),X0) = meet(ld(rd(X1,X1),X0),X0),
inference(superposition,[],[f54,f2658]) ).
fof(f2759,plain,
! [X0,X1] : ld(rd(X1,X1),X0) = meet(X0,ld(rd(X1,X1),X0)),
inference(forward_demodulation,[],[f2734,f5]) ).
fof(f2766,plain,
! [X2,X0,X1] : ld(X0,X2) = meet(ld(X0,X2),ld(meet(X0,X1),X2)),
inference(superposition,[],[f2625,f5]) ).
fof(f2773,plain,
! [X2,X0,X1] : ld(join(X0,X1),X2) = meet(ld(join(X0,X1),X2),ld(X0,X2)),
inference(superposition,[],[f2625,f24]) ).
fof(f2846,plain,
! [X2,X0,X1] : ld(join(X0,X1),X2) = meet(ld(X0,X2),ld(join(X0,X1),X2)),
inference(forward_demodulation,[],[f2773,f5]) ).
fof(f2856,plain,
! [X0,X1] : meet(X0,ld(meet(unit,X1),X0)) = X0,
inference(superposition,[],[f2766,f281]) ).
fof(f2877,plain,
! [X2,X0,X1] : ld(X1,X2) = meet(ld(X1,X2),ld(op(X0,ld(X0,X1)),X2)),
inference(superposition,[],[f2766,f276]) ).
fof(f2966,plain,
! [X2,X0,X1] : ld(X0,X2) = join(ld(X0,X2),ld(join(X0,X1),X2)),
inference(superposition,[],[f23,f2846]) ).
fof(f3017,plain,
! [X2,X0,X1] : ld(X1,X2) = join(ld(X1,X2),ld(rd(X0,ld(X1,X0)),X2)),
inference(superposition,[],[f2966,f567]) ).
fof(f3366,plain,
! [X2,X0,X1] : op(X1,X0) = join(op(X1,X0),op(X1,meet(X2,X0))),
inference(superposition,[],[f139,f44]) ).
fof(f3373,plain,
! [X2,X0,X1] : join(X1,op(rd(X1,X0),meet(X2,X0))) = X1,
inference(superposition,[],[f139,f1056]) ).
fof(f3491,plain,
! [X0,X1] : op(X0,ld(X1,X1)) = join(op(X0,ld(X1,X1)),op(X0,unit)),
inference(superposition,[],[f3366,f64]) ).
fof(f3536,plain,
! [X0,X1] : op(X0,ld(X1,X1)) = join(op(X0,unit),op(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3491,f6]) ).
fof(f3567,plain,
! [X0,X1] : op(X0,ld(X1,X1)) = join(X0,op(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3536,f15]) ).
fof(f3574,plain,
! [X0] : op(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f45,f3567]) ).
fof(f3642,plain,
! [X0,X1] : op(X1,X0) = meet(op(X1,X0),rd(op(X1,X0),ld(X0,X0))),
inference(superposition,[],[f174,f3574]) ).
fof(f3647,plain,
! [X0,X1] : ld(X0,X1) = join(ld(X0,X1),op(ld(X0,X0),ld(X0,X1))),
inference(superposition,[],[f1037,f3574]) ).
fof(f3663,plain,
! [X0,X1] : ld(X0,X1) = op(ld(X0,X0),ld(X0,X1)),
inference(forward_demodulation,[],[f3647,f2522]) ).
fof(f3775,plain,
! [X0,X1] : ld(ld(X0,X0),ld(X0,X1)) = join(ld(X0,X1),ld(ld(X0,X0),ld(X0,X1))),
inference(superposition,[],[f397,f3663]) ).
fof(f3782,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(X0,X0),ld(X0,X1)),
inference(forward_demodulation,[],[f3775,f2660]) ).
fof(f7079,plain,
! [X0,X1] : meet(X1,ld(op(X0,ld(X0,unit)),X1)) = X1,
inference(superposition,[],[f2856,f276]) ).
fof(f8840,plain,
! [X0,X1] : join(X0,op(rd(X0,ld(X1,X1)),unit)) = X0,
inference(superposition,[],[f3373,f64]) ).
fof(f8910,plain,
! [X0,X1] : join(X0,rd(X0,ld(X1,X1))) = X0,
inference(forward_demodulation,[],[f8840,f15]) ).
fof(f8923,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = meet(rd(X0,ld(X1,X1)),X0),
inference(superposition,[],[f54,f8910]) ).
fof(f8973,plain,
! [X0,X1] : rd(X0,ld(X1,X1)) = meet(X0,rd(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f8923,f5]) ).
fof(f8975,plain,
! [X0,X1] : op(X1,X0) = rd(op(X1,X0),ld(X0,X0)),
inference(backward_demodulation,[],[f3642,f8973]) ).
fof(f9127,plain,
! [X2,X0,X1] : ld(X1,ld(X2,X0)) = meet(ld(X1,ld(X2,X0)),ld(op(X2,X1),X0)),
inference(superposition,[],[f90,f313]) ).
fof(f9204,plain,
! [X2,X0,X1] : ld(op(X0,X2),X1) = ld(X2,ld(X0,X1)),
inference(backward_demodulation,[],[f1980,f9127]) ).
fof(f9232,plain,
! [X0,X1] : meet(X1,ld(ld(X0,unit),ld(X0,X1))) = X1,
inference(backward_demodulation,[],[f7079,f9204]) ).
fof(f9243,plain,
! [X2,X0,X1] : meet(X2,ld(X1,rd(X0,ld(X2,ld(X1,X0))))) = X2,
inference(backward_demodulation,[],[f582,f9204]) ).
fof(f9327,plain,
! [X2,X0,X1] : ld(X1,X2) = meet(ld(X1,X2),ld(ld(X0,X1),ld(X0,X2))),
inference(backward_demodulation,[],[f2877,f9204]) ).
fof(f9502,plain,
~ sP0(op(x,op(ld(x,unit),ld(ld(op(ld(y,unit),ld(ld(z,unit),unit)),ld(y,unit)),unit)))),
inference(backward_demodulation,[],[f31,f9204]) ).
fof(f9507,plain,
~ sP0(op(x,op(ld(x,unit),ld(ld(ld(ld(z,unit),unit),ld(ld(y,unit),ld(y,unit))),unit)))),
inference(forward_demodulation,[],[f9502,f9204]) ).
fof(f9830,plain,
! [X0,X1] : meet(X1,ld(rd(X0,X0),rd(X0,ld(X1,X0)))) = X1,
inference(superposition,[],[f9243,f195]) ).
fof(f9837,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X1)) = meet(rd(ld(X0,X1),ld(X0,X1)),ld(X0,rd(X1,ld(X0,X1)))),
inference(superposition,[],[f9243,f195]) ).
fof(f9903,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X1)) = meet(ld(X0,rd(X1,ld(X0,X1))),rd(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f9837,f5]) ).
fof(f10222,plain,
! [X2,X0,X1] : ld(X2,X1) = join(ld(X2,X1),op(ld(X2,X0),ld(X0,X1))),
inference(superposition,[],[f58,f9327]) ).
fof(f10284,plain,
! [X0,X1] : ld(X1,X0) = join(ld(X1,X0),op(ld(X1,unit),X0)),
inference(superposition,[],[f10222,f281]) ).
fof(f10295,plain,
! [X0,X1] : ld(X0,X1) = op(ld(X0,X1),ld(X1,X1)),
inference(superposition,[],[f3567,f10222]) ).
fof(f10297,plain,
! [X2,X0,X1] : ld(X0,X2) = meet(ld(X0,X2),rd(ld(X0,X1),ld(X2,X1))),
inference(superposition,[],[f108,f10222]) ).
fof(f10391,plain,
! [X0,X1] : ld(X0,X1) = rd(ld(X0,X1),ld(ld(X1,X1),ld(X1,X1))),
inference(superposition,[],[f8975,f10295]) ).
fof(f10396,plain,
! [X0,X1] : ld(X0,X1) = rd(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f10391,f3782]) ).
fof(f10461,plain,
! [X0,X1] : ld(X0,unit) = meet(ld(X0,unit),rd(ld(X0,X1),X1)),
inference(superposition,[],[f108,f10284]) ).
fof(f11348,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),ld(rd(X0,X0),join(X0,X1))),
inference(superposition,[],[f9830,f16]) ).
fof(f11411,plain,
! [X0,X1] : join(X0,X1) = ld(rd(X0,X0),join(X0,X1)),
inference(forward_demodulation,[],[f11348,f2759]) ).
fof(f11636,plain,
! [X0,X1] : join(X0,X1) = ld(rd(X1,X1),join(X0,X1)),
inference(superposition,[],[f11411,f6]) ).
fof(f11676,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = ld(rd(X1,X1),rd(X0,ld(X1,X0))),
inference(superposition,[],[f11411,f567]) ).
fof(f11818,plain,
! [X0,X1] : ld(rd(ld(ld(X1,X1),X0),ld(ld(X1,X1),X0)),X0) = X0,
inference(superposition,[],[f11636,f2660]) ).
fof(f12412,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = join(rd(ld(X0,X1),X1),ld(X0,unit)),
inference(superposition,[],[f59,f10461]) ).
fof(f12441,plain,
! [X0,X1] : rd(ld(X0,X1),X1) = join(ld(X0,unit),rd(ld(X0,X1),X1)),
inference(forward_demodulation,[],[f12412,f6]) ).
fof(f18967,plain,
! [X0,X1] : ld(X0,X1) = ld(rd(X1,ld(X0,X1)),X1),
inference(superposition,[],[f1504,f3017]) ).
fof(f19103,plain,
! [X2,X0,X1] : ld(X2,rd(X1,ld(X0,X1))) = meet(ld(X2,rd(X1,ld(X0,X1))),rd(ld(X2,X1),ld(X0,X1))),
inference(superposition,[],[f10297,f18967]) ).
fof(f19148,plain,
! [X0,X1] : ld(X0,rd(X1,ld(X0,X1))) = rd(ld(X0,X1),ld(X0,X1)),
inference(backward_demodulation,[],[f9903,f19103]) ).
fof(f19162,plain,
! [X0,X1] : ld(ld(ld(X1,X1),rd(X0,ld(ld(X1,X1),X0))),X0) = X0,
inference(backward_demodulation,[],[f11818,f19148]) ).
fof(f20702,plain,
! [X0,X1] : rd(X1,ld(ld(X0,X0),X1)) = ld(ld(X0,X0),rd(X1,ld(ld(X0,X0),X1))),
inference(superposition,[],[f11676,f10396]) ).
fof(f20831,plain,
! [X0,X1] : ld(rd(X0,ld(ld(X1,X1),X0)),X0) = X0,
inference(backward_demodulation,[],[f19162,f20702]) ).
fof(f20839,plain,
! [X0,X1] : ld(ld(X1,X1),X0) = X0,
inference(forward_demodulation,[],[f20831,f18967]) ).
fof(f21496,plain,
! [X0] : ld(X0,X0) = rd(unit,unit),
inference(backward_demodulation,[],[f421,f20839]) ).
fof(f22152,plain,
! [X0] : unit = ld(X0,X0),
inference(forward_demodulation,[],[f21496,f1075]) ).
fof(f23136,plain,
~ sP0(op(x,op(ld(x,unit),ld(ld(ld(ld(z,unit),unit),unit),unit)))),
inference(backward_demodulation,[],[f9507,f22152]) ).
fof(f23823,plain,
! [X0] : meet(X0,ld(ld(X0,unit),unit)) = X0,
inference(superposition,[],[f9232,f22152]) ).
fof(f23844,plain,
! [X0] : rd(unit,X0) = join(ld(X0,unit),rd(unit,X0)),
inference(superposition,[],[f12441,f22152]) ).
fof(f24232,plain,
! [X0] : ld(ld(X0,unit),unit) = join(ld(ld(X0,unit),unit),X0),
inference(superposition,[],[f59,f23823]) ).
fof(f24301,plain,
! [X0] : ld(ld(X0,unit),unit) = join(X0,ld(ld(X0,unit),unit)),
inference(forward_demodulation,[],[f24232,f6]) ).
fof(f24319,plain,
! [X0] : ld(ld(X0,unit),unit) = join(rd(unit,ld(X0,unit)),ld(ld(X0,unit),unit)),
inference(superposition,[],[f24301,f18967]) ).
fof(f24400,plain,
! [X0] : ld(ld(X0,unit),unit) = join(ld(ld(X0,unit),unit),rd(unit,ld(X0,unit))),
inference(forward_demodulation,[],[f24319,f6]) ).
fof(f24409,plain,
! [X0] : rd(unit,ld(X0,unit)) = ld(ld(X0,unit),unit),
inference(forward_demodulation,[],[f24400,f23844]) ).
fof(f24428,plain,
! [X0] : ld(X0,unit) = ld(ld(ld(X0,unit),unit),unit),
inference(superposition,[],[f18967,f24409]) ).
fof(f24446,plain,
~ sP0(op(x,op(ld(x,unit),ld(ld(z,unit),unit)))),
inference(backward_demodulation,[],[f23136,f24428]) ).
fof(f24450,plain,
$false,
inference(forward_subsumption_resolution,[],[f24446,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MVA003-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:45:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 35.31/5.89 % (1195903)Detected a unit-equality problem, will run specialized UEQ schedule.
% 35.31/5.89 % (1196024)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1371913068:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 35.31/5.89 % (1196017)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=575303516:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 35.31/5.89 % (1196015)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=3929391080:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 35.31/5.89 % (1196019)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2184290479:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 35.31/5.89 % (1196025)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1432836693:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 35.31/5.89 % (1196021)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1006049865:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 35.31/5.89 % (1196022)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=14553659:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 35.31/5.89 % (1196024)Instruction limit reached!
% 35.31/5.89 % (1196024)------------------------------
% 35.31/5.89 % (1196024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196024)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196024)Termination reason: Instruction limit
% 35.31/5.89 % (1196024)Termination phase: Saturation
% 35.31/5.89 % (1196024)Time elapsed: 0.092 s
% 35.31/5.89 % (1196024)Peak memory usage: 91 MB
% 35.31/5.89 % (1196024)Instructions burned: 259 (million)
% 35.31/5.89 % (1196021)Instruction limit reached!
% 35.31/5.89 % (1196021)------------------------------
% 35.31/5.89 % (1196021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196021)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196021)Termination reason: Instruction limit
% 35.31/5.89 % (1196021)Termination phase: Saturation
% 35.31/5.89 % (1196021)Time elapsed: 0.087 s
% 35.31/5.89 % (1196021)Peak memory usage: 89 MB
% 35.31/5.89 % (1196021)Instructions burned: 137 (million)
% 35.31/5.89 % (1196022)Instruction limit reached!
% 35.31/5.89 % (1196022)------------------------------
% 35.31/5.89 % (1196022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196022)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196022)Termination reason: Instruction limit
% 35.31/5.89 % (1196022)Termination phase: Saturation
% 35.31/5.89 % (1196022)Time elapsed: 0.109 s
% 35.31/5.89 % (1196022)Peak memory usage: 90 MB
% 35.31/5.89 % (1196022)Instructions burned: 182 (million)
% 35.31/5.89 % (1196088)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1642632715:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 35.31/5.89 % (1196095)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=338085689:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 35.31/5.89 % (1196104)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2515290574:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 35.31/5.89 % (1196104)Instruction limit reached!
% 35.31/5.89 % (1196104)------------------------------
% 35.31/5.89 % (1196104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196104)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196104)Termination reason: Instruction limit
% 35.31/5.89 % (1196104)Termination phase: Saturation
% 35.31/5.89 % (1196104)Time elapsed: 0.106 s
% 35.31/5.89 % (1196104)Peak memory usage: 91 MB
% 35.31/5.89 % (1196104)Instructions burned: 216 (million)
% 35.31/5.89 % (1196155)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=1604770625:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 35.31/5.89 % (1196025)Instruction limit reached!
% 35.31/5.89 % (1196025)------------------------------
% 35.31/5.89 % (1196025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196025)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196025)Termination reason: Instruction limit
% 35.31/5.89 % (1196025)Termination phase: Saturation
% 35.31/5.89 % (1196025)Time elapsed: 0.658 s
% 35.31/5.89 % (1196025)Peak memory usage: 101 MB
% 35.31/5.89 % (1196025)Instructions burned: 1187 (million)
% 35.31/5.89 % (1196155)Instruction limit reached!
% 35.31/5.89 % (1196155)------------------------------
% 35.31/5.89 % (1196155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196155)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196155)Termination reason: Instruction limit
% 35.31/5.89 % (1196155)Termination phase: Saturation
% 35.31/5.89 % (1196155)Time elapsed: 0.176 s
% 35.31/5.89 % (1196155)Peak memory usage: 91 MB
% 35.31/5.89 % (1196155)Instructions burned: 318 (million)
% 35.31/5.89 % (1196157)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=1641678791:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 35.31/5.89 % (1196158)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3333317337:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 35.31/5.89 % (1196088)Instruction limit reached!
% 35.31/5.89 % (1196088)------------------------------
% 35.31/5.89 % (1196088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196088)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196088)Termination reason: Instruction limit
% 35.31/5.89 % (1196088)Termination phase: Saturation
% 35.31/5.89 % (1196088)Time elapsed: 1.073 s
% 35.31/5.89 % (1196088)Peak memory usage: 143 MB
% 35.31/5.89 % (1196088)Instructions burned: 2051 (million)
% 35.31/5.89 % (1196161)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2782286619:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2985 on theBenchmark for (2985ds/14534Mi)
% 35.31/5.89 % (1196158)Instruction limit reached!
% 35.31/5.89 % (1196158)------------------------------
% 35.31/5.89 % (1196158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196158)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196158)Termination reason: Instruction limit
% 35.31/5.89 % (1196158)Termination phase: Saturation
% 35.31/5.89 % (1196158)Time elapsed: 1.807 s
% 35.31/5.89 % (1196158)Peak memory usage: 156 MB
% 35.31/5.89 % (1196158)Instructions burned: 2836 (million)
% 35.31/5.89 % (1196163)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=4208428023:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2971 on theBenchmark for (2971ds/11832Mi)
% 35.31/5.89 % (1196095)Instruction limit reached!
% 35.31/5.89 % (1196095)------------------------------
% 35.31/5.89 % (1196095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196095)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196095)Termination reason: Instruction limit
% 35.31/5.89 % (1196095)Termination phase: Saturation
% 35.31/5.89 % (1196095)Time elapsed: 2.926 s
% 35.31/5.89 % (1196095)Peak memory usage: 171 MB
% 35.31/5.89 % (1196095)Instructions burned: 4948 (million)
% 35.31/5.89 % (1196165)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=3863083784:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 35.31/5.89 % (1196161)First to succeed.
% 35.31/5.89 % (1196161)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1195903"
% 35.31/5.89 % (1196165)Instruction limit reached!
% 35.31/5.89 % (1196165)------------------------------
% 35.31/5.89 % (1196165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.31/5.89 % (1196165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.89 % (1196165)CaDiCaL version: 2.1.3
% 35.31/5.89 % (1196165)Termination reason: Instruction limit
% 35.31/5.89 % (1196165)Termination phase: Saturation
% 35.31/5.89 % (1196165)Time elapsed: 1.416 s
% 35.31/5.89 % (1196165)Peak memory usage: 141 MB
% 35.31/5.89 % (1196165)Instructions burned: 2280 (million)
% 35.31/5.89 % (1196161)Refutation found. Thanks to Tanya!
% 35.31/5.89 % SZS status Unsatisfiable for theBenchmark
% 35.31/5.89 % SZS output start Proof for theBenchmark
% See solution above
% 35.97/5.99 % (1196161)------------------------------
% 35.97/5.99 % (1196161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.97/5.99 % (1196161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.97/5.99 % (1196161)CaDiCaL version: 2.1.3
% 35.97/5.99 % (1196161)Termination reason: Refutation
% 35.97/5.99 % (1196161)Time elapsed: 3.159 s
% 35.97/5.99 % (1196161)Peak memory usage: 170 MB
% 35.97/5.99 % (1196161)Instructions burned: 5182 (million)
% 35.97/5.99 % (1196161)------------------------------
% 35.97/5.99 % (1196161)------------------------------
% 35.97/5.99 % (1195903)Success in time 5.02 s
% 35.97/5.99 % Vampire exiting
%------------------------------------------------------------------------------