%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MVA011-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:05:52 PM UTC 2026
% Result : Unsatisfiable 14.96s 6.22s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of formulae : 137 ( 137 unt; 0 def)
% Number of atoms : 137 ( 136 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 268 ( 268 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f3,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption_a) ).
fof(f8,axiom,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption_b) ).
fof(f9,axiom,
! [X2,X0,X1] : join(op(X0,meet(ld(X0,X1),X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_a) ).
fof(f10,axiom,
! [X2,X0,X1] : join(op(meet(X0,rd(X1,X2)),X2),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_b) ).
fof(f11,axiom,
! [X2,X0,X1] : meet(ld(X0,join(op(X0,X1),X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_c) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(rd(join(op(X0,X1),X2),X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',residual_d) ).
fof(f13,axiom,
! [X2,X0,X1] : op(op(X0,X1),X2) = op(X0,op(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoid_associativity) ).
fof(f14,axiom,
! [X0] : op(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_monoid_unit) ).
fof(f15,axiom,
! [X0] : op(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_monoid_unit) ).
fof(f16,axiom,
! [X0,X1] : join(X0,X1) = rd(X0,ld(join(X0,X1),X0)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',definition_of_at) ).
fof(f19,negated_conjecture,
at(unit,ld(x,unit)) != ld(x,unit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f20,plain,
ld(x,unit) != at(unit,ld(x,unit)),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
ld(x,unit) != op(op(unit,ld(unit,unit)),ld(ld(ld(x,unit),unit),unit)),
inference(definition_unfolding,[],[f20,f18]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f8,f5]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X1,op(meet(X0,rd(X1,X2)),X2)) = X1,
inference(forward_demodulation,[],[f10,f6]) ).
fof(f24,plain,
! [X2,X0,X1] : meet(X0,rd(join(op(X0,X1),X2),X1)) = X0,
inference(forward_demodulation,[],[f12,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] : meet(X1,ld(X0,join(op(X0,X1),X2))) = X1,
inference(forward_demodulation,[],[f11,f5]) ).
fof(f27,plain,
ld(x,unit) != op(unit,op(ld(unit,unit),ld(ld(ld(x,unit),unit),unit))),
inference(forward_demodulation,[],[f21,f13]) ).
fof(f28,plain,
ld(x,unit) != op(ld(unit,unit),ld(ld(ld(x,unit),unit),unit)),
inference(forward_demodulation,[],[f27,f14]) ).
fof(f41,plain,
! [X0,X1] : meet(X1,ld(X0,op(X0,X1))) = X1,
inference(superposition,[],[f26,f25]) ).
fof(f42,plain,
! [X0,X1] : join(X1,op(X0,ld(X0,X1))) = X1,
inference(superposition,[],[f25,f26]) ).
fof(f44,plain,
! [X0] : meet(X0,ld(unit,X0)) = X0,
inference(superposition,[],[f41,f14]) ).
fof(f45,plain,
! [X0] : unit = meet(unit,ld(X0,X0)),
inference(superposition,[],[f41,f15]) ).
fof(f48,plain,
! [X0] : join(X0,ld(unit,X0)) = X0,
inference(superposition,[],[f42,f14]) ).
fof(f49,plain,
! [X2,X0,X1] : join(X2,op(X0,op(X1,ld(op(X0,X1),X2)))) = X2,
inference(superposition,[],[f42,f13]) ).
fof(f53,plain,
! [X0] : ld(rd(X0,X0),X0) = X0,
inference(superposition,[],[f17,f42]) ).
fof(f56,plain,
! [X2,X0,X1] : join(X0,op(meet(X2,join(X0,X1)),ld(join(X0,X1),X0))) = X0,
inference(superposition,[],[f23,f16]) ).
fof(f71,plain,
! [X0,X1] : meet(X0,rd(op(X0,X1),X1)) = X0,
inference(superposition,[],[f24,f23]) ).
fof(f80,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f22,f6]) ).
fof(f82,plain,
! [X0,X1] : join(X0,X1) = rd(X1,ld(join(X0,X1),X1)),
inference(superposition,[],[f16,f6]) ).
fof(f83,plain,
! [X2,X0,X1] : meet(X1,rd(join(X0,op(X1,X2)),X2)) = X1,
inference(superposition,[],[f24,f6]) ).
fof(f84,plain,
! [X2,X0,X1] : meet(X2,ld(X1,join(X0,op(X1,X2)))) = X2,
inference(superposition,[],[f26,f6]) ).
fof(f97,plain,
! [X2,X3,X0,X1] : meet(X2,ld(op(X0,X1),join(X3,op(X0,op(X1,X2))))) = X2,
inference(superposition,[],[f84,f13]) ).
fof(f107,plain,
! [X2,X0,X1] : join(X2,op(X1,meet(X0,ld(X1,X2)))) = X2,
inference(superposition,[],[f25,f5]) ).
fof(f109,plain,
! [X0] : unit = meet(unit,rd(X0,X0)),
inference(superposition,[],[f71,f14]) ).
fof(f183,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f1,f22]) ).
fof(f208,plain,
! [X2,X3,X0,X1] : join(X2,op(meet(X0,meet(X1,rd(X2,X3))),X3)) = X2,
inference(superposition,[],[f23,f1]) ).
fof(f252,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f7,f5]) ).
fof(f269,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f6,f7]) ).
fof(f279,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(forward_demodulation,[],[f252,f6]) ).
fof(f286,plain,
! [X0,X1] : ld(X1,op(X1,X0)) = join(ld(X1,op(X1,X0)),X0),
inference(superposition,[],[f279,f41]) ).
fof(f288,plain,
! [X0] : ld(unit,X0) = join(ld(unit,X0),X0),
inference(superposition,[],[f279,f44]) ).
fof(f306,plain,
! [X0] : ld(unit,X0) = join(X0,ld(unit,X0)),
inference(forward_demodulation,[],[f288,f6]) ).
fof(f308,plain,
! [X0,X1] : ld(X1,op(X1,X0)) = join(X0,ld(X1,op(X1,X0))),
inference(forward_demodulation,[],[f286,f6]) ).
fof(f312,plain,
! [X0] : ld(unit,X0) = X0,
inference(forward_demodulation,[],[f306,f48]) ).
fof(f323,plain,
ld(x,unit) != op(unit,ld(ld(ld(x,unit),unit),unit)),
inference(superposition,[],[f28,f312]) ).
fof(f324,plain,
ld(x,unit) != ld(ld(ld(x,unit),unit),unit),
inference(forward_demodulation,[],[f323,f14]) ).
fof(f332,plain,
! [X0] : ld(X0,X0) = join(unit,ld(X0,X0)),
inference(superposition,[],[f308,f15]) ).
fof(f372,plain,
! [X0,X1] : join(X0,op(rd(X0,X1),X1)) = X0,
inference(superposition,[],[f23,f3]) ).
fof(f433,plain,
! [X0,X1] : op(X1,ld(X1,X0)) = meet(op(X1,ld(X1,X0)),X0),
inference(superposition,[],[f80,f42]) ).
fof(f447,plain,
! [X0,X1] : op(X1,ld(X1,X0)) = meet(X0,op(X1,ld(X1,X0))),
inference(forward_demodulation,[],[f433,f5]) ).
fof(f463,plain,
! [X2,X0,X1] : join(X2,op(X1,op(X0,ld(X0,ld(X1,X2))))) = X2,
inference(superposition,[],[f25,f447]) ).
fof(f471,plain,
! [X2,X0,X1] : meet(X1,rd(X0,meet(X2,ld(X1,X0)))) = X1,
inference(superposition,[],[f83,f107]) ).
fof(f472,plain,
! [X0,X1] : meet(X1,rd(X0,ld(X1,X0))) = X1,
inference(superposition,[],[f83,f42]) ).
fof(f496,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = join(rd(X1,ld(X0,X1)),X0),
inference(superposition,[],[f279,f472]) ).
fof(f501,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = join(X0,rd(X1,ld(X0,X1))),
inference(forward_demodulation,[],[f496,f6]) ).
fof(f671,plain,
! [X2,X0,X1] : op(X1,ld(op(X2,X1),X0)) = meet(op(X1,ld(op(X2,X1),X0)),ld(X2,X0)),
inference(superposition,[],[f84,f49]) ).
fof(f688,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,[],[f671,f5]) ).
fof(f707,plain,
! [X2,X0,X1] : ld(X1,X2) = join(ld(X1,X2),op(X0,ld(op(X1,X0),X2))),
inference(superposition,[],[f269,f688]) ).
fof(f874,plain,
! [X2,X0,X1] : op(X0,X1) = join(op(X0,X1),op(meet(X2,X0),X1)),
inference(superposition,[],[f208,f71]) ).
fof(f876,plain,
! [X2,X0,X1] : join(X1,op(meet(X2,X0),ld(X0,X1))) = X1,
inference(superposition,[],[f208,f472]) ).
fof(f925,plain,
! [X0,X1] : meet(X1,ld(rd(X0,X1),X0)) = X1,
inference(superposition,[],[f84,f372]) ).
fof(f1347,plain,
! [X2,X0,X1] : meet(X0,join(X0,X1)) = meet(X0,ld(X2,op(X2,join(X0,X1)))),
inference(superposition,[],[f183,f41]) ).
fof(f1395,plain,
! [X2,X0,X1] : meet(X0,ld(X2,op(X2,join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f1347,f22]) ).
fof(f1442,plain,
! [X2,X0,X1] : op(X1,join(X0,X2)) = join(op(X1,join(X0,X2)),op(X1,X0)),
inference(superposition,[],[f107,f1395]) ).
fof(f1459,plain,
! [X2,X0,X1] : op(X1,join(X0,X2)) = join(op(X1,X0),op(X1,join(X0,X2))),
inference(forward_demodulation,[],[f1442,f6]) ).
fof(f1805,plain,
! [X0,X1] : op(ld(X0,X0),X1) = join(op(ld(X0,X0),X1),op(unit,X1)),
inference(superposition,[],[f874,f45]) ).
fof(f1834,plain,
! [X0,X1] : op(ld(X0,X0),X1) = join(op(unit,X1),op(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f1805,f6]) ).
fof(f1857,plain,
! [X0,X1] : op(ld(X0,X0),X1) = join(X1,op(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f1834,f14]) ).
fof(f1873,plain,
! [X0,X1] : meet(X1,op(ld(X0,X0),X1)) = X1,
inference(superposition,[],[f22,f1857]) ).
fof(f2320,plain,
! [X0,X1] : join(X0,op(X0,ld(join(X0,X1),X0))) = X0,
inference(superposition,[],[f56,f22]) ).
fof(f2864,plain,
! [X0] : unit = join(unit,op(unit,ld(ld(X0,X0),unit))),
inference(superposition,[],[f2320,f332]) ).
fof(f2906,plain,
! [X0] : unit = join(unit,ld(ld(X0,X0),unit)),
inference(forward_demodulation,[],[f2864,f14]) ).
fof(f2922,plain,
! [X0] : ld(ld(X0,X0),unit) = meet(ld(ld(X0,X0),unit),unit),
inference(superposition,[],[f80,f2906]) ).
fof(f2923,plain,
! [X0] : unit = rd(ld(ld(X0,X0),unit),ld(unit,ld(ld(X0,X0),unit))),
inference(superposition,[],[f82,f2906]) ).
fof(f2932,plain,
! [X0] : unit = rd(ld(ld(X0,X0),unit),ld(ld(X0,X0),unit)),
inference(forward_demodulation,[],[f2923,f312]) ).
fof(f2933,plain,
! [X0] : ld(ld(X0,X0),unit) = meet(unit,ld(ld(X0,X0),unit)),
inference(forward_demodulation,[],[f2922,f5]) ).
fof(f3069,plain,
! [X0,X1] : op(rd(X0,X0),X1) = join(op(rd(X0,X0),X1),op(unit,X1)),
inference(superposition,[],[f874,f109]) ).
fof(f3070,plain,
! [X0,X1] : op(rd(X0,X0),X1) = join(op(unit,X1),op(rd(X0,X0),X1)),
inference(forward_demodulation,[],[f3069,f6]) ).
fof(f3073,plain,
! [X0,X1] : op(rd(X0,X0),X1) = join(X1,op(rd(X0,X0),X1)),
inference(forward_demodulation,[],[f3070,f14]) ).
fof(f3079,plain,
! [X0] : op(rd(X0,X0),X0) = X0,
inference(superposition,[],[f372,f3073]) ).
fof(f3365,plain,
! [X2,X0,X1] : op(X1,X0) = join(op(X1,meet(X0,X2)),op(X1,X0)),
inference(superposition,[],[f1459,f7]) ).
fof(f3371,plain,
! [X0,X1] : op(X1,ld(X0,X0)) = join(op(X1,unit),op(X1,ld(X0,X0))),
inference(superposition,[],[f1459,f332]) ).
fof(f3414,plain,
! [X0,X1] : op(X1,ld(X0,X0)) = join(X1,op(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f3371,f15]) ).
fof(f3415,plain,
! [X2,X0,X1] : op(X1,X0) = join(op(X1,X0),op(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f3365,f6]) ).
fof(f3427,plain,
! [X0] : op(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f42,f3414]) ).
fof(f3434,plain,
! [X0,X1] : meet(X0,op(X0,ld(X1,X1))) = X0,
inference(superposition,[],[f22,f3414]) ).
fof(f3509,plain,
! [X0,X1] : op(ld(X0,X0),ld(X0,X1)) = meet(ld(X0,X1),op(ld(X0,X0),ld(X0,X1))),
inference(superposition,[],[f688,f3427]) ).
fof(f3524,plain,
! [X0,X1] : ld(X0,X1) = op(ld(X0,X0),ld(X0,X1)),
inference(forward_demodulation,[],[f3509,f1873]) ).
fof(f3541,plain,
! [X0,X1] : ld(X0,X1) = meet(ld(X0,X1),ld(ld(X0,X0),ld(X0,X1))),
inference(superposition,[],[f41,f3524]) ).
fof(f3547,plain,
! [X0,X1] : ld(X0,X0) = meet(ld(X0,X0),rd(ld(X0,X1),ld(X0,X1))),
inference(superposition,[],[f71,f3524]) ).
fof(f3718,plain,
! [X0] : rd(ld(X0,X0),ld(X0,X0)) = meet(rd(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f3434,f3079]) ).
fof(f3748,plain,
! [X0] : rd(ld(X0,X0),ld(X0,X0)) = meet(ld(X0,X0),rd(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[],[f3718,f5]) ).
fof(f3751,plain,
! [X0] : ld(X0,X0) = rd(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f3748,f3547]) ).
fof(f3756,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f53,f3751]) ).
fof(f3780,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = op(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(superposition,[],[f3524,f3756]) ).
fof(f3810,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = meet(X1,ld(ld(X0,X0),X1)),
inference(superposition,[],[f447,f3780]) ).
fof(f4187,plain,
! [X0,X1] : op(X1,unit) = join(op(X1,unit),op(X1,ld(ld(X0,X0),unit))),
inference(superposition,[],[f3415,f2933]) ).
fof(f4236,plain,
! [X0,X1] : join(X1,op(X1,ld(ld(X0,X0),unit))) = X1,
inference(forward_demodulation,[],[f4187,f15]) ).
fof(f4367,plain,
! [X0,X1] : ld(ld(X1,X1),unit) = meet(ld(ld(X1,X1),unit),ld(X0,X0)),
inference(superposition,[],[f84,f4236]) ).
fof(f4490,plain,
! [X2,X0,X1] : ld(op(X0,X2),X1) = meet(ld(op(X0,X2),X1),ld(X2,ld(X0,X1))),
inference(superposition,[],[f84,f707]) ).
fof(f4516,plain,
! [X2,X0,X1] : ld(op(X0,X2),X1) = meet(ld(X2,ld(X0,X1)),ld(op(X0,X2),X1)),
inference(forward_demodulation,[],[f4490,f5]) ).
fof(f4551,plain,
! [X0,X1] : ld(rd(X1,X0),X1) = join(ld(rd(X1,X0),X1),X0),
inference(superposition,[],[f279,f925]) ).
fof(f4573,plain,
! [X0,X1] : ld(rd(X1,X0),X1) = join(X0,ld(rd(X1,X0),X1)),
inference(forward_demodulation,[],[f4551,f6]) ).
fof(f5085,plain,
! [X0,X1] : ld(X0,X1) = ld(ld(X0,X0),ld(X0,X1)),
inference(superposition,[],[f3541,f3810]) ).
fof(f5103,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = ld(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(superposition,[],[f5085,f5085]) ).
fof(f5551,plain,
! [X2,X0,X1] : ld(X1,X0) = meet(ld(X1,X0),ld(meet(X2,X1),X0)),
inference(superposition,[],[f84,f876]) ).
fof(f5706,plain,
! [X2,X0,X1] : ld(X0,X2) = meet(ld(X0,X2),ld(meet(X0,X1),X2)),
inference(superposition,[],[f5551,f5]) ).
fof(f5714,plain,
! [X2,X0,X1] : ld(join(X0,X1),X2) = meet(ld(join(X0,X1),X2),ld(X0,X2)),
inference(superposition,[],[f5551,f22]) ).
fof(f5818,plain,
! [X2,X0,X1] : ld(join(X0,X1),X2) = meet(ld(X0,X2),ld(join(X0,X1),X2)),
inference(forward_demodulation,[],[f5714,f5]) ).
fof(f5908,plain,
! [X2,X0,X1] : ld(X0,X2) = join(ld(X0,X2),ld(join(X0,X1),X2)),
inference(superposition,[],[f269,f5818]) ).
fof(f5961,plain,
! [X2,X0,X1] : ld(X1,X2) = meet(ld(X1,X2),ld(op(X0,ld(X0,X1)),X2)),
inference(superposition,[],[f5706,f447]) ).
fof(f6277,plain,
! [X2,X0,X1] : ld(X1,X2) = join(ld(X1,X2),ld(rd(X0,ld(X1,X0)),X2)),
inference(superposition,[],[f5908,f501]) ).
fof(f7912,plain,
! [X2,X0,X1] : ld(X1,ld(X2,X0)) = meet(ld(X1,ld(X2,X0)),ld(op(X2,X1),X0)),
inference(superposition,[],[f97,f463]) ).
fof(f11067,plain,
! [X0,X1] : ld(X1,X1) = join(ld(X1,X1),ld(ld(X0,X0),unit)),
inference(superposition,[],[f279,f4367]) ).
fof(f11107,plain,
! [X0,X1] : ld(X0,X0) = rd(ld(ld(X1,X1),unit),ld(ld(X0,X0),ld(ld(X1,X1),unit))),
inference(superposition,[],[f82,f11067]) ).
fof(f11255,plain,
! [X0,X1] : meet(X0,ld(op(X1,ld(X1,unit)),X0)) = X0,
inference(superposition,[],[f5961,f312]) ).
fof(f15606,plain,
! [X0] : ld(X0,X0) = rd(ld(ld(X0,X0),unit),ld(ld(X0,X0),unit)),
inference(superposition,[],[f11107,f5103]) ).
fof(f15620,plain,
! [X0] : unit = ld(X0,X0),
inference(forward_demodulation,[],[f15606,f2932]) ).
fof(f23917,plain,
! [X0,X1] : ld(X0,X1) = ld(rd(X1,ld(X0,X1)),X1),
inference(superposition,[],[f4573,f6277]) ).
fof(f26732,plain,
! [X2,X0,X1] : ld(op(X0,X1),X2) = ld(X1,ld(X0,X2)),
inference(superposition,[],[f7912,f4516]) ).
fof(f26992,plain,
! [X0,X1] : meet(X1,ld(ld(X0,unit),ld(X0,X1))) = X1,
inference(superposition,[],[f11255,f26732]) ).
fof(f34862,plain,
! [X0] : meet(X0,ld(ld(X0,unit),unit)) = X0,
inference(superposition,[],[f26992,f15620]) ).
fof(f35341,plain,
! [X0] : rd(unit,ld(X0,unit)) = meet(rd(unit,ld(X0,unit)),ld(ld(X0,unit),unit)),
inference(superposition,[],[f34862,f23917]) ).
fof(f35351,plain,
! [X0] : ld(X0,unit) = meet(ld(X0,unit),rd(unit,X0)),
inference(superposition,[],[f471,f34862]) ).
fof(f35449,plain,
! [X0] : rd(unit,ld(X0,unit)) = meet(ld(ld(X0,unit),unit),rd(unit,ld(X0,unit))),
inference(forward_demodulation,[],[f35341,f5]) ).
fof(f35461,plain,
! [X0] : rd(unit,ld(X0,unit)) = ld(ld(X0,unit),unit),
inference(forward_demodulation,[],[f35449,f35351]) ).
fof(f35500,plain,
! [X0] : ld(X0,unit) = ld(ld(ld(X0,unit),unit),unit),
inference(superposition,[],[f23917,f35461]) ).
fof(f35748,plain,
ld(x,unit) != ld(x,unit),
inference(superposition,[],[f324,f35500]) ).
fof(f35819,plain,
$false,
inference(trivial_inequality_removal,[],[f35748]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MVA011-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n007.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 17:44:00 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 14.96/6.22 % (1685026)Detected a unit-equality problem, will run specialized UEQ schedule.
% 14.96/6.22 % (1685034)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3220065257:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 14.96/6.22 % (1685034)Instruction limit reached!
% 14.96/6.22 % (1685034)------------------------------
% 14.96/6.22 % (1685034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685034)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685034)Termination reason: Instruction limit
% 14.96/6.22 % (1685034)Termination phase: Saturation
% 14.96/6.22 % (1685034)Time elapsed: 0.076 s
% 14.96/6.22 % (1685034)Peak memory usage: 89 MB
% 14.96/6.22 % (1685034)Instructions burned: 138 (million)
% 14.96/6.22 % (1685035)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3862758368:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 14.96/6.22 % (1685031)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=2502178381:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 14.96/6.22 % (1685032)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=3785269210:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 14.96/6.22 % (1685033)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=847954141:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 14.96/6.22 % (1685036)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=432045915:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 14.96/6.22 % (1685037)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=603349463:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 14.96/6.22 % (1685035)Instruction limit reached!
% 14.96/6.22 % (1685035)------------------------------
% 14.96/6.22 % (1685035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685035)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685035)Termination reason: Instruction limit
% 14.96/6.22 % (1685035)Termination phase: Saturation
% 14.96/6.22 % (1685035)Time elapsed: 0.178 s
% 14.96/6.22 % (1685035)Peak memory usage: 90 MB
% 14.96/6.22 % (1685035)Instructions burned: 182 (million)
% 14.96/6.22 % (1685039)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3664003975:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 14.96/6.22 % (1685036)Instruction limit reached!
% 14.96/6.22 % (1685036)------------------------------
% 14.96/6.22 % (1685036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685036)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685036)Termination reason: Instruction limit
% 14.96/6.22 % (1685036)Termination phase: Saturation
% 14.96/6.22 % (1685036)Time elapsed: 0.285 s
% 14.96/6.22 % (1685036)Peak memory usage: 91 MB
% 14.96/6.22 % (1685036)Instructions burned: 257 (million)
% 14.96/6.22 % (1685046)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2044278805:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 14.96/6.22 % (1685048)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=117946395:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 14.96/6.22 % (1685048)Instruction limit reached!
% 14.96/6.22 % (1685048)------------------------------
% 14.96/6.22 % (1685048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685048)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685048)Termination reason: Instruction limit
% 14.96/6.22 % (1685048)Termination phase: Saturation
% 14.96/6.22 % (1685048)Time elapsed: 0.188 s
% 14.96/6.22 % (1685048)Peak memory usage: 92 MB
% 14.96/6.22 % (1685048)Instructions burned: 216 (million)
% 14.96/6.22 % (1685051)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=3341548499:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 14.96/6.22 % (1685037)Instruction limit reached!
% 14.96/6.22 % (1685037)------------------------------
% 14.96/6.22 % (1685037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685037)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685037)Termination reason: Instruction limit
% 14.96/6.22 % (1685037)Termination phase: Saturation
% 14.96/6.22 % (1685037)Time elapsed: 1.104 s
% 14.96/6.22 % (1685037)Peak memory usage: 101 MB
% 14.96/6.22 % (1685037)Instructions burned: 1187 (million)
% 14.96/6.22 % (1685051)Instruction limit reached!
% 14.96/6.22 % (1685051)------------------------------
% 14.96/6.22 % (1685051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685051)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685051)Termination reason: Instruction limit
% 14.96/6.22 % (1685051)Termination phase: Saturation
% 14.96/6.22 % (1685051)Time elapsed: 0.319 s
% 14.96/6.22 % (1685051)Peak memory usage: 92 MB
% 14.96/6.22 % (1685051)Instructions burned: 317 (million)
% 14.96/6.22 % (1685053)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=188040795:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 14.96/6.22 % (1685039)Instruction limit reached!
% 14.96/6.22 % (1685039)------------------------------
% 14.96/6.22 % (1685039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685039)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685039)Termination reason: Instruction limit
% 14.96/6.22 % (1685039)Termination phase: Saturation
% 14.96/6.22 % (1685039)Time elapsed: 1.204 s
% 14.96/6.22 % (1685039)Peak memory usage: 143 MB
% 14.96/6.22 % (1685039)Instructions burned: 2051 (million)
% 14.96/6.22 % (1685056)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3596291576:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 14.96/6.22 % (1685058)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2241806105:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 14.96/6.22 % (1685032)First to succeed.
% 14.96/6.22 % (1685032)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1685026"
% 14.96/6.22 % (1685056)Instruction limit reached!
% 14.96/6.22 % (1685056)------------------------------
% 14.96/6.22 % (1685056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.96/6.22 % (1685056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.96/6.22 % (1685056)CaDiCaL version: 2.1.3
% 14.96/6.22 % (1685056)Termination reason: Instruction limit
% 14.96/6.22 % (1685056)Termination phase: Saturation
% 14.96/6.22 % (1685056)Time elapsed: 3.182 s
% 14.96/6.22 % (1685056)Peak memory usage: 150 MB
% 14.96/6.22 % (1685056)Instructions burned: 2836 (million)
% 14.96/6.22 % (1685032)Refutation found. Thanks to Tanya!
% 14.96/6.22 % SZS status Unsatisfiable for theBenchmark
% 14.96/6.22 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/6.51 % (1685032)------------------------------
% 0.22/6.51 % (1685032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/6.51 % (1685032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/6.51 % (1685032)CaDiCaL version: 2.1.3
% 0.22/6.51 % (1685032)Termination reason: Refutation
% 0.22/6.51 % (1685032)Time elapsed: 4.644 s
% 0.22/6.51 % (1685032)Peak memory usage: 168 MB
% 0.22/6.51 % (1685032)Instructions burned: 4725 (million)
% 0.22/6.51 % (1685032)------------------------------
% 0.22/6.51 % (1685032)------------------------------
% 0.22/6.51 % (1685026)Success in time 5.377 s
% 0.22/6.51 % Vampire exiting
%------------------------------------------------------------------------------