%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE104-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:40:20 AM UTC 2026
% Result : Unsatisfiable 10.39s 2.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 25
% Syntax : Number of formulae : 195 ( 195 unt; 0 def)
% Number of atoms : 195 ( 194 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 248 ( 248 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f4,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f5,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f6,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f7,axiom,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f8,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f9,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f10,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f14,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f15,plain,
! [X0] : zero = multiplication(zero,X0),
inference(reorient_equations,[],[f14]) ).
fof(f19,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f20,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(reorient_equations,[],[f19]) ).
fof(f21,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f22,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f24,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(reorient_equations,[],[f23]) ).
fof(f25,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f26,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(reorient_equations,[],[f25]) ).
fof(f27,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f28,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(reorient_equations,[],[f27]) ).
fof(f29,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain2) ).
fof(f30,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f32,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(reorient_equations,[],[f31]) ).
fof(f33,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f34,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(reorient_equations,[],[f33]) ).
fof(f35,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).
fof(f37,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f38,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f39,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_box) ).
fof(f40,axiom,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_box) ).
fof(f41,negated_conjecture,
addition(domain(sK2_goals_X1),backward_box(sK3_goals_X0,domain(sK1_goals_X2))) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f42,plain,
one = addition(domain(sK2_goals_X1),backward_box(sK3_goals_X0,domain(sK1_goals_X2))),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
addition(forward_box(sK3_goals_X0,domain(sK2_goals_X1)),domain(sK1_goals_X2)) != one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_1) ).
fof(f44,plain,
one != addition(forward_box(sK3_goals_X0,domain(sK2_goals_X1)),domain(sK1_goals_X2)),
inference(reorient_equations,[],[f43]) ).
fof(f46,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f37,f26,f26]) ).
fof(f47,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f38,f34,f34]) ).
fof(f48,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f35,f26]) ).
fof(f49,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f39,f48,f46,f48]) ).
fof(f50,plain,
! [X0,X1] : backward_box(X0,X1) = antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X0)))))),
inference(definition_unfolding,[],[f40,f48,f47,f48]) ).
fof(f51,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1_goals_X2))))))),sK3_goals_X0))))))),
inference(definition_unfolding,[],[f42,f26,f50,f26]) ).
fof(f52,plain,
one != addition(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2_goals_X1))))))))))))),antidomain(antidomain(sK1_goals_X2))),
inference(definition_unfolding,[],[f44,f49,f26,f26]) ).
fof(f56,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f24,f3]) ).
fof(f58,plain,
one != addition(antidomain(antidomain(sK1_goals_X2)),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2_goals_X1)))))))))))))),
inference(superposition,[],[f52,f3]) ).
fof(f62,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f3,f32]) ).
fof(f64,plain,
zero = antidomain(one),
inference(superposition,[],[f8,f20]) ).
fof(f66,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f24,f64]) ).
fof(f67,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f66,f5]) ).
fof(f69,plain,
zero = coantidomain(one),
inference(superposition,[],[f9,f28]) ).
fof(f73,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f3,f5]) ).
fof(f75,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = addition(zero,multiplication(X1,coantidomain(X0))),
inference(superposition,[],[f11,f28]) ).
fof(f76,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f11,f9]) ).
fof(f77,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f11,f20]) ).
fof(f79,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f11,f28]) ).
fof(f81,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f11,f20]) ).
fof(f88,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f81,f5]) ).
fof(f90,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f79,f5]) ).
fof(f92,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f77,f73]) ).
fof(f93,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = multiplication(X1,coantidomain(X0)),
inference(forward_demodulation,[],[f75,f73]) ).
fof(f99,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),coantidomain(antidomain(X0))) = multiplication(one,coantidomain(antidomain(X0))),
inference(superposition,[],[f90,f24]) ).
fof(f106,plain,
! [X0] : coantidomain(antidomain(X0)) = multiplication(antidomain(antidomain(X0)),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f99,f9]) ).
fof(f115,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f88,f24]) ).
fof(f124,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f115,f9]) ).
fof(f133,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f32,f69]) ).
fof(f134,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f133,f5]) ).
fof(f149,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f10,f20]) ).
fof(f151,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(superposition,[],[f10,f28]) ).
fof(f155,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f10,f20]) ).
fof(f168,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f155,f5]) ).
fof(f172,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f151,f5]) ).
fof(f174,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f149,f73]) ).
fof(f183,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f168,f10]) ).
fof(f186,plain,
! [X0] : multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))) = multiplication(antidomain(coantidomain(X0)),one),
inference(superposition,[],[f168,f32]) ).
fof(f194,plain,
! [X0] : antidomain(coantidomain(X0)) = multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f186,f8]) ).
fof(f233,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f241,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f4,f10]) ).
fof(f254,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f3,f4]) ).
fof(f267,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[],[f172,f32]) ).
fof(f281,plain,
! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f267,f8]) ).
fof(f291,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f168,f56]) ).
fof(f294,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f291,f8]) ).
fof(f297,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f294,f124]) ).
fof(f412,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f233,f56]) ).
fof(f413,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),one),
inference(superposition,[],[f233,f32]) ).
fof(f434,plain,
! [X0] : one = addition(one,coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f413,f3]) ).
fof(f435,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f412,f3]) ).
fof(f476,plain,
one != addition(antidomain(antidomain(sK1_goals_X2)),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2_goals_X1)))))))))))),
inference(superposition,[],[f58,f297]) ).
fof(f489,plain,
one != addition(antidomain(antidomain(sK1_goals_X2)),antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2_goals_X1)))))))))),
inference(forward_demodulation,[],[f476,f297]) ).
fof(f510,plain,
one != addition(antidomain(antidomain(sK1_goals_X2)),antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2_goals_X1)))))))),
inference(forward_demodulation,[],[f489,f297]) ).
fof(f529,plain,
one != addition(antidomain(antidomain(sK1_goals_X2)),antidomain(multiplication(sK3_goals_X0,antidomain(antidomain(antidomain(sK2_goals_X1)))))),
inference(forward_demodulation,[],[f510,f297]) ).
fof(f545,plain,
one != addition(antidomain(antidomain(sK1_goals_X2)),antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))),
inference(forward_demodulation,[],[f529,f297]) ).
fof(f582,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f88,f22]) ).
fof(f592,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f582,f20]) ).
fof(f615,plain,
! [X0] : zero = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(coantidomain(X0))))),
inference(superposition,[],[f592,f28]) ).
fof(f648,plain,
! [X0] : zero = multiplication(one,multiplication(X0,antidomain(antidomain(coantidomain(X0))))),
inference(forward_demodulation,[],[f615,f67]) ).
fof(f653,plain,
! [X0] : zero = multiplication(X0,antidomain(antidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f648,f9]) ).
fof(f662,plain,
! [X0,X1] : addition(multiplication(X1,X0),X0) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(superposition,[],[f11,f124]) ).
fof(f677,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f662,f3]) ).
fof(f684,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f677,f76]) ).
fof(f819,plain,
! [X0,X1] : multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))) = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(superposition,[],[f172,f30]) ).
fof(f829,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f819,f28]) ).
fof(f840,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f829,f7]) ).
fof(f888,plain,
! [X0] : multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))) = multiplication(one,coantidomain(coantidomain(coantidomain(X0)))),
inference(superposition,[],[f93,f32]) ).
fof(f911,plain,
! [X0] : coantidomain(coantidomain(coantidomain(X0))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f888,f9]) ).
fof(f924,plain,
! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f911,f281]) ).
fof(f1066,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f7,f20]) ).
fof(f1101,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f1066,f15]) ).
fof(f1643,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f592,f1101]) ).
fof(f1646,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f1643,f67]) ).
fof(f1660,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1646,f9]) ).
fof(f2474,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f840,f20]) ).
fof(f2539,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f2474,f134]) ).
fof(f2569,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2539,f8]) ).
fof(f2601,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(superposition,[],[f11,f2569]) ).
fof(f2639,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(forward_demodulation,[],[f2601,f5]) ).
fof(f2734,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(superposition,[],[f2639,f62]) ).
fof(f2784,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f2734,f9]) ).
fof(f2998,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,one)) = multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f183,f24]) ).
fof(f3059,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f2998,f8]) ).
fof(f3105,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(antidomain(coantidomain(X0)))))),
inference(superposition,[],[f3059,f653]) ).
fof(f3113,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))) = multiplication(antidomain(zero),antidomain(X0)),
inference(superposition,[],[f3059,f1660]) ).
fof(f3188,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(forward_demodulation,[],[f3113,f67]) ).
fof(f3195,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(X0,antidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f3105,f297]) ).
fof(f3210,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f3188,f9]) ).
fof(f3213,plain,
! [X0] : multiplication(one,X0) = multiplication(one,multiplication(X0,antidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f3195,f67]) ).
fof(f3219,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3210,f297]) ).
fof(f3221,plain,
! [X0] : multiplication(one,X0) = multiplication(X0,antidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f3213,f9]) ).
fof(f3223,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3219,f9]) ).
fof(f3225,plain,
! [X0] : multiplication(X0,antidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f3221,f9]) ).
fof(f3228,plain,
! [X0] : coantidomain(coantidomain(X0)) = multiplication(coantidomain(coantidomain(X0)),antidomain(coantidomain(X0))),
inference(superposition,[],[f3225,f924]) ).
fof(f3505,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f76,f3223]) ).
fof(f3520,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3505,f3]) ).
fof(f3546,plain,
! [X0,X1] : multiplication(one,antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3520,f435]) ).
fof(f3550,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3546,f9]) ).
fof(f3590,plain,
! [X0] : antidomain(X0) = addition(antidomain(coantidomain(antidomain(X0))),antidomain(X0)),
inference(superposition,[],[f3550,f2784]) ).
fof(f3611,plain,
! [X0] : antidomain(X0) = addition(antidomain(X0),antidomain(coantidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f3590,f3]) ).
fof(f3663,plain,
! [X0] : multiplication(addition(one,coantidomain(coantidomain(X0))),antidomain(coantidomain(X0))) = addition(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))),
inference(superposition,[],[f76,f3228]) ).
fof(f3680,plain,
! [X0] : multiplication(one,antidomain(coantidomain(X0))) = addition(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f3663,f434]) ).
fof(f3692,plain,
! [X0] : antidomain(coantidomain(X0)) = addition(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f3680,f9]) ).
fof(f4479,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f241,f11]) ).
fof(f4698,plain,
! [X0] : antidomain(coantidomain(antidomain(X0))) = addition(antidomain(antidomain(antidomain(X0))),antidomain(coantidomain(antidomain(X0)))),
inference(superposition,[],[f3550,f106]) ).
fof(f4701,plain,
! [X0] : antidomain(coantidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(coantidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f4698,f297]) ).
fof(f4724,plain,
! [X0] : antidomain(X0) = antidomain(coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f4701,f3611]) ).
fof(f5554,plain,
! [X0] : multiplication(addition(one,antidomain(coantidomain(X0))),coantidomain(coantidomain(X0))) = addition(coantidomain(coantidomain(X0)),antidomain(coantidomain(X0))),
inference(superposition,[],[f76,f194]) ).
fof(f5582,plain,
! [X0] : addition(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))) = multiplication(addition(one,antidomain(coantidomain(X0))),coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f5554,f3]) ).
fof(f5597,plain,
! [X0] : multiplication(one,coantidomain(coantidomain(X0))) = addition(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f5582,f435]) ).
fof(f5604,plain,
! [X0] : multiplication(one,coantidomain(coantidomain(X0))) = antidomain(coantidomain(X0)),
inference(forward_demodulation,[],[f5597,f3692]) ).
fof(f5606,plain,
! [X0] : coantidomain(coantidomain(X0)) = antidomain(coantidomain(X0)),
inference(forward_demodulation,[],[f5604,f9]) ).
fof(f5628,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1_goals_X2))))))),sK3_goals_X0))))))),
inference(superposition,[],[f51,f5606]) ).
fof(f5633,plain,
! [X0] : coantidomain(X0) = antidomain(coantidomain(coantidomain(X0))),
inference(superposition,[],[f924,f5606]) ).
fof(f5674,plain,
! [X0] : coantidomain(X0) = antidomain(antidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f5633,f5606]) ).
fof(f5677,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),antidomain(coantidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1_goals_X2))))))),sK3_goals_X0))))),
inference(forward_demodulation,[],[f5628,f297]) ).
fof(f5689,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),antidomain(antidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1_goals_X2))))))),sK3_goals_X0))))),
inference(forward_demodulation,[],[f5677,f5606]) ).
fof(f5693,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),coantidomain(multiplication(antidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1_goals_X2))))))),sK3_goals_X0))),
inference(forward_demodulation,[],[f5689,f5674]) ).
fof(f5695,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),coantidomain(multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(sK1_goals_X2))))),sK3_goals_X0))),
inference(forward_demodulation,[],[f5693,f4724]) ).
fof(f5697,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),coantidomain(multiplication(antidomain(antidomain(antidomain(sK1_goals_X2))),sK3_goals_X0))),
inference(forward_demodulation,[],[f5695,f297]) ).
fof(f5699,plain,
one = addition(antidomain(antidomain(sK2_goals_X1)),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(forward_demodulation,[],[f5697,f297]) ).
fof(f5798,plain,
multiplication(antidomain(antidomain(antidomain(sK2_goals_X1))),one) = multiplication(antidomain(antidomain(antidomain(sK2_goals_X1))),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(superposition,[],[f174,f5699]) ).
fof(f5808,plain,
multiplication(antidomain(sK2_goals_X1),one) = multiplication(antidomain(sK2_goals_X1),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(forward_demodulation,[],[f5798,f297]) ).
fof(f5814,plain,
antidomain(sK2_goals_X1) = multiplication(antidomain(sK2_goals_X1),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(forward_demodulation,[],[f5808,f8]) ).
fof(f5828,plain,
multiplication(addition(one,antidomain(sK2_goals_X1)),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))) = addition(coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0)),antidomain(sK2_goals_X1)),
inference(superposition,[],[f76,f5814]) ).
fof(f5857,plain,
multiplication(addition(one,antidomain(sK2_goals_X1)),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))) = addition(antidomain(sK2_goals_X1),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(forward_demodulation,[],[f5828,f3]) ).
fof(f5869,plain,
addition(antidomain(sK2_goals_X1),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))) = multiplication(one,coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(forward_demodulation,[],[f5857,f435]) ).
fof(f5875,plain,
coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0)) = addition(antidomain(sK2_goals_X1),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(forward_demodulation,[],[f5869,f9]) ).
fof(f5879,plain,
multiplication(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0),antidomain(sK2_goals_X1)) = multiplication(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0),coantidomain(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0))),
inference(superposition,[],[f172,f5875]) ).
fof(f5894,plain,
zero = multiplication(multiplication(antidomain(sK1_goals_X2),sK3_goals_X0),antidomain(sK2_goals_X1)),
inference(forward_demodulation,[],[f5879,f28]) ).
fof(f5896,plain,
zero = multiplication(antidomain(sK1_goals_X2),multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))),
inference(forward_demodulation,[],[f5894,f7]) ).
fof(f5914,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))))),
inference(superposition,[],[f592,f5896]) ).
fof(f5938,plain,
zero = multiplication(one,multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))))),
inference(forward_demodulation,[],[f5914,f67]) ).
fof(f5966,plain,
zero = multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))))),
inference(forward_demodulation,[],[f5938,f9]) ).
fof(f6016,plain,
multiplication(antidomain(zero),multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))))))) = multiplication(antidomain(zero),antidomain(sK1_goals_X2)),
inference(superposition,[],[f3059,f5966]) ).
fof(f6070,plain,
multiplication(one,multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))))))) = multiplication(one,antidomain(sK1_goals_X2)),
inference(forward_demodulation,[],[f6016,f67]) ).
fof(f6095,plain,
antidomain(sK1_goals_X2) = multiplication(one,multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1))))))),
inference(forward_demodulation,[],[f6070,f9]) ).
fof(f6110,plain,
antidomain(sK1_goals_X2) = multiplication(antidomain(sK1_goals_X2),antidomain(antidomain(antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))))),
inference(forward_demodulation,[],[f6095,f9]) ).
fof(f6118,plain,
antidomain(sK1_goals_X2) = multiplication(antidomain(sK1_goals_X2),antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))),
inference(forward_demodulation,[],[f6110,f297]) ).
fof(f6506,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))),
inference(superposition,[],[f4479,f24]) ).
fof(f6870,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f6506,f8]) ).
fof(f7753,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(addition(antidomain(antidomain(antidomain(X1))),X0),X2),antidomain(X1))),
inference(superposition,[],[f6870,f92]) ).
fof(f7772,plain,
! [X2,X3,X0,X1] : addition(X1,multiplication(addition(X2,X0),antidomain(X3))) = addition(multiplication(X1,antidomain(antidomain(X3))),multiplication(addition(X0,addition(X1,X2)),antidomain(X3))),
inference(superposition,[],[f6870,f254]) ).
fof(f7802,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))),multiplication(one,antidomain(X1))),
inference(superposition,[],[f6870,f24]) ).
fof(f7878,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(multiplication(one,antidomain(X1)),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f7802,f3]) ).
fof(f7912,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(antidomain(antidomain(antidomain(X1))),addition(X0,X2)),antidomain(X1))),
inference(forward_demodulation,[],[f7753,f4]) ).
fof(f7937,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(X1),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f7878,f9]) ).
fof(f7964,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(X0,multiplication(addition(X2,antidomain(antidomain(antidomain(X1)))),antidomain(X1))),
inference(forward_demodulation,[],[f7912,f7772]) ).
fof(f7999,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(X0,multiplication(addition(one,X2),antidomain(X1))),
inference(forward_demodulation,[],[f7964,f684]) ).
fof(f8020,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(one,X2),antidomain(X1))) = addition(antidomain(antidomain(antidomain(X1))),addition(X0,multiplication(X2,antidomain(X1)))),
inference(forward_demodulation,[],[f7999,f4]) ).
fof(f8035,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(one,X2),antidomain(X1))) = addition(antidomain(X1),addition(X0,multiplication(X2,antidomain(X1)))),
inference(forward_demodulation,[],[f8020,f297]) ).
fof(f8105,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(X1),addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1)))),
inference(superposition,[],[f233,f7937]) ).
fof(f8116,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),multiplication(addition(one,antidomain(X0)),antidomain(X1))),
inference(forward_demodulation,[],[f8105,f8035]) ).
fof(f8151,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),multiplication(one,antidomain(X1))),
inference(forward_demodulation,[],[f8116,f435]) ).
fof(f8175,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),antidomain(X1)),
inference(forward_demodulation,[],[f8151,f9]) ).
fof(f8225,plain,
addition(antidomain(antidomain(sK1_goals_X2)),antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))) = addition(antidomain(antidomain(sK1_goals_X2)),antidomain(sK1_goals_X2)),
inference(superposition,[],[f8175,f6118]) ).
fof(f8268,plain,
one = addition(antidomain(antidomain(sK1_goals_X2)),antidomain(multiplication(sK3_goals_X0,antidomain(sK2_goals_X1)))),
inference(forward_demodulation,[],[f8225,f24]) ).
fof(f8291,plain,
$false,
inference(forward_subsumption_resolution,[],[f8268,f545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE104-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:10:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 10.39/2.51 % (2025714)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.39/2.51 % (2025723)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=279597476:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.39/2.51 % (2025721)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1249467543:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.39/2.51 % (2025722)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1033796812:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.39/2.51 % (2025720)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=2317731538:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.39/2.51 % (2025719)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=1982429314:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.39/2.51 % (2025725)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3791113294:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.39/2.51 % (2025724)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2233862252:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.39/2.51 % (2025723)Instruction limit reached!
% 10.39/2.51 % (2025723)------------------------------
% 10.39/2.51 % (2025723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.51 % (2025723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.51 % (2025723)CaDiCaL version: 2.1.3
% 10.39/2.51 % (2025723)Termination reason: Instruction limit
% 10.39/2.51 % (2025723)Termination phase: Saturation
% 10.39/2.51 % (2025723)Time elapsed: 0.058 s
% 10.39/2.51 % (2025723)Peak memory usage: 90 MB
% 10.39/2.51 % (2025723)Instructions burned: 183 (million)
% 10.39/2.51 % (2025722)Instruction limit reached!
% 10.39/2.51 % (2025722)------------------------------
% 10.39/2.51 % (2025722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.51 % (2025722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.51 % (2025722)CaDiCaL version: 2.1.3
% 10.39/2.51 % (2025722)Termination reason: Instruction limit
% 10.39/2.51 % (2025722)Termination phase: Saturation
% 10.39/2.51 % (2025722)Time elapsed: 0.084 s
% 10.39/2.51 % (2025722)Peak memory usage: 88 MB
% 10.39/2.51 % (2025722)Instructions burned: 136 (million)
% 10.39/2.51 % (2025733)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3773924024:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 10.39/2.51 % (2025724)Instruction limit reached!
% 10.39/2.51 % (2025724)------------------------------
% 10.39/2.51 % (2025724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.51 % (2025724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.51 % (2025724)CaDiCaL version: 2.1.3
% 10.39/2.51 % (2025724)Termination reason: Instruction limit
% 10.39/2.51 % (2025724)Termination phase: Saturation
% 10.39/2.51 % (2025724)Time elapsed: 0.173 s
% 10.39/2.51 % (2025724)Peak memory usage: 91 MB
% 10.39/2.51 % (2025724)Instructions burned: 258 (million)
% 10.39/2.51 % (2025734)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3305639986:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.39/2.51 % (2025736)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3085651016:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 10.39/2.51 % (2025736)Instruction limit reached!
% 10.39/2.51 % (2025736)------------------------------
% 10.39/2.51 % (2025736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.51 % (2025736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.51 % (2025736)CaDiCaL version: 2.1.3
% 10.39/2.51 % (2025736)Termination reason: Instruction limit
% 10.39/2.51 % (2025736)Termination phase: Saturation
% 10.39/2.51 % (2025736)Time elapsed: 0.111 s
% 10.39/2.51 % (2025736)Peak memory usage: 92 MB
% 10.39/2.51 % (2025736)Instructions burned: 216 (million)
% 10.39/2.51 % (2025739)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=221814778:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 10.39/2.51 % (2025725)Instruction limit reached!
% 10.39/2.51 % (2025725)------------------------------
% 10.39/2.51 % (2025725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.51 % (2025725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.51 % (2025725)CaDiCaL version: 2.1.3
% 10.39/2.51 % (2025725)Termination reason: Instruction limit
% 10.39/2.51 % (2025725)Termination phase: Saturation
% 10.39/2.51 % (2025725)Time elapsed: 0.636 s
% 10.39/2.51 % (2025725)Peak memory usage: 99 MB
% 10.39/2.51 % (2025725)Instructions burned: 1188 (million)
% 10.39/2.51 % (2025741)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=4084657631:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 10.39/2.51 % (2025739)Instruction limit reached!
% 10.39/2.51 % (2025739)------------------------------
% 10.39/2.51 % (2025739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.51 % (2025739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.51 % (2025739)CaDiCaL version: 2.1.3
% 10.39/2.51 % (2025739)Termination reason: Instruction limit
% 10.39/2.51 % (2025739)Termination phase: Saturation
% 10.39/2.51 % (2025739)Time elapsed: 0.197 s
% 10.39/2.51 % (2025739)Peak memory usage: 94 MB
% 10.39/2.51 % (2025739)Instructions burned: 318 (million)
% 10.39/2.51 % (2025733)Instruction limit reached!
% 10.39/2.51 % (2025733)------------------------------
% 10.39/2.51 % (2025733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.51 % (2025733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.51 % (2025733)CaDiCaL version: 2.1.3
% 10.39/2.51 % (2025733)Termination reason: Instruction limit
% 10.39/2.51 % (2025733)Termination phase: Saturation
% 10.39/2.51 % (2025733)Time elapsed: 0.751 s
% 10.39/2.51 % (2025733)Peak memory usage: 143 MB
% 10.39/2.51 % (2025733)Instructions burned: 2051 (million)
% 10.39/2.51 % (2025743)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=790286660:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 10.39/2.51 % (2025744)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1112265029:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 10.39/2.51 % (2025720)First to succeed.
% 10.39/2.51 % (2025720)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2025714"
% 10.39/2.51 % (2025720)Refutation found. Thanks to Tanya!
% 10.39/2.51 % SZS status Unsatisfiable for theBenchmark
% 10.39/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.70 % (2025720)------------------------------
% 0.16/2.70 % (2025720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.70 % (2025720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.70 % (2025720)CaDiCaL version: 2.1.3
% 0.16/2.70 % (2025720)Termination reason: Refutation
% 0.16/2.70 % (2025720)Time elapsed: 1.225 s
% 0.16/2.70 % (2025720)Peak memory usage: 138 MB
% 0.16/2.70 % (2025720)Instructions burned: 1960 (million)
% 0.16/2.70 % (2025720)------------------------------
% 0.16/2.70 % (2025720)------------------------------
% 0.16/2.70 % (2025714)Success in time 1.657 s
% 0.16/2.70 % Vampire exiting
%------------------------------------------------------------------------------