%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE120+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:40:23 AM UTC 2026
% Result : Theorem 9.11s 2.17s
% Output : Refutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 110 ( 110 unt; 0 def)
% Number of atoms : 110 ( 109 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 142 ( 141 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).
fof(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain4) ).
fof(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',backward_diamond) ).
fof(f27,conjecture,
! [X0] : addition(backward_diamond(one,domain(X0)),domain(X0)) = domain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0] : addition(backward_diamond(one,domain(X0)),domain(X0)) = domain(X0),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0] : domain(X0) != addition(backward_diamond(one,domain(X0)),domain(X0)),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
domain(sK0) != addition(backward_diamond(one,domain(sK0)),domain(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f29]) ).
fof(f31,plain,
domain(sK0) != addition(backward_diamond(one,domain(sK0)),domain(sK0)),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f40,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f49,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f18]) ).
fof(f50,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f56,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f46,f48,f48]) ).
fof(f63,plain,
antidomain(antidomain(sK0)) != addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK0)))),one))),antidomain(antidomain(sK0))),
inference(definition_unfolding,[],[f31,f44,f58,f44,f44]) ).
fof(f64,plain,
antidomain(antidomain(sK0)) != addition(antidomain(antidomain(sK0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK0)))),one)))),
inference(forward_demodulation,[],[f63,f36]) ).
fof(f65,plain,
antidomain(antidomain(sK0)) != addition(antidomain(antidomain(sK0)),coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(sK0))))))),
inference(forward_demodulation,[],[f64,f40]) ).
fof(f72,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f37,f36]) ).
fof(f73,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f38,f36]) ).
fof(f75,plain,
zero = coantidomain(one),
inference(superposition,[],[f39,f50]) ).
fof(f77,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f37,f75]) ).
fof(f78,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f77,f56]) ).
fof(f80,plain,
zero = antidomain(one),
inference(superposition,[],[f52,f40]) ).
fof(f82,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f38,f80]) ).
fof(f83,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f82,f56]) ).
fof(f87,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f36,f56]) ).
fof(f94,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f35,f34]) ).
fof(f115,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f33,f40]) ).
fof(f119,plain,
! [X0,X1] : multiplication(X0,addition(X1,coantidomain(X0))) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f50]) ).
fof(f122,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f33,f52]) ).
fof(f130,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f122,f56]) ).
fof(f133,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f119,f56]) ).
fof(f143,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f130,f33]) ).
fof(f145,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f130,f73]) ).
fof(f154,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f145,f40]) ).
fof(f162,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[],[f133,f37]) ).
fof(f173,plain,
! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f162,f40]) ).
fof(f205,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f32,f52]) ).
fof(f211,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f32,f50]) ).
fof(f213,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,antidomain(X1)),X1),
inference(superposition,[],[f32,f52]) ).
fof(f221,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f130,f32]) ).
fof(f228,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f213,f56]) ).
fof(f230,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f211,f56]) ).
fof(f235,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f205,f87]) ).
fof(f246,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f228,f38]) ).
fof(f262,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f246,f39]) ).
fof(f318,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),coantidomain(antidomain(X0))) = multiplication(one,coantidomain(antidomain(X0))),
inference(superposition,[],[f230,f38]) ).
fof(f321,plain,
! [X0] : multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))) = multiplication(one,coantidomain(coantidomain(coantidomain(X0)))),
inference(superposition,[],[f230,f72]) ).
fof(f335,plain,
! [X0] : coantidomain(coantidomain(coantidomain(X0))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f321,f39]) ).
fof(f338,plain,
! [X0] : coantidomain(antidomain(X0)) = multiplication(antidomain(antidomain(X0)),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f318,f39]) ).
fof(f342,plain,
! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f335,f173]) ).
fof(f348,plain,
antidomain(antidomain(sK0)) != addition(antidomain(antidomain(sK0)),coantidomain(coantidomain(antidomain(antidomain(sK0))))),
inference(superposition,[],[f65,f342]) ).
fof(f379,plain,
! [X0,X1] : multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f221,f37]) ).
fof(f398,plain,
! [X0,X1] : multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(antidomain(multiplication(coantidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f379,f39]) ).
fof(f428,plain,
! [X0] : one = addition(coantidomain(X0),one),
inference(superposition,[],[f94,f72]) ).
fof(f441,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(forward_demodulation,[],[f428,f36]) ).
fof(f520,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,[],[f133,f49]) ).
fof(f529,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f520,f50]) ).
fof(f543,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f529,f47]) ).
fof(f761,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f543,f52]) ).
fof(f794,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f761,f78]) ).
fof(f808,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f794,f40]) ).
fof(f1453,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,[],[f143,f38]) ).
fof(f1500,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f1453,f40]) ).
fof(f1790,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(superposition,[],[f262,f154]) ).
fof(f2235,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),addition(one,coantidomain(antidomain(X0)))) = addition(antidomain(antidomain(X0)),coantidomain(antidomain(X0))),
inference(superposition,[],[f115,f338]) ).
fof(f2246,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),one) = addition(antidomain(antidomain(X0)),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f2235,f441]) ).
fof(f2255,plain,
! [X0] : antidomain(antidomain(X0)) = addition(antidomain(antidomain(X0)),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f2246,f40]) ).
fof(f2293,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(coantidomain(coantidomain(coantidomain(antidomain(X0)))),X0)),
inference(superposition,[],[f398,f808]) ).
fof(f2364,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(coantidomain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f2293,f342]) ).
fof(f2379,plain,
! [X0] : multiplication(one,X0) = multiplication(one,multiplication(coantidomain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f2364,f83]) ).
fof(f2390,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(forward_demodulation,[],[f2379,f39]) ).
fof(f2393,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f2390,f39]) ).
fof(f2396,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0))),
inference(superposition,[],[f2393,f1790]) ).
fof(f3501,plain,
! [X0] : antidomain(X0) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f2255,f1790]) ).
fof(f3510,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),antidomain(X0)) = multiplication(coantidomain(antidomain(X0)),antidomain(X0)),
inference(superposition,[],[f235,f2255]) ).
fof(f3517,plain,
! [X0] : zero = multiplication(coantidomain(antidomain(X0)),antidomain(X0)),
inference(forward_demodulation,[],[f3510,f52]) ).
fof(f3539,plain,
! [X0] : multiplication(antidomain(zero),coantidomain(antidomain(X0))) = multiplication(antidomain(zero),multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0)))),
inference(superposition,[],[f1500,f3517]) ).
fof(f3577,plain,
! [X0] : multiplication(antidomain(zero),coantidomain(antidomain(X0))) = multiplication(antidomain(zero),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f3539,f2396]) ).
fof(f3594,plain,
! [X0] : multiplication(one,coantidomain(antidomain(X0))) = multiplication(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f3577,f83]) ).
fof(f3601,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(one,coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f3594,f39]) ).
fof(f3603,plain,
! [X0] : antidomain(antidomain(X0)) = coantidomain(antidomain(X0)),
inference(forward_demodulation,[],[f3601,f39]) ).
fof(f3612,plain,
antidomain(antidomain(sK0)) != addition(antidomain(antidomain(sK0)),coantidomain(antidomain(antidomain(antidomain(sK0))))),
inference(superposition,[],[f348,f3603]) ).
fof(f3683,plain,
$false,
inference(forward_subsumption_resolution,[],[f3612,f3501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE120+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n012.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:10:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.11/2.16 % (2376910)Detected formulas, will run a generic FOF schedule.
% 9.11/2.16 % (2376924)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1716729008:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.11/2.16 % (2376930)dis-21_1_sil=8000:lcm=predicate:random_seed=1064361682:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.11/2.16 % (2376928)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=730667399:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.11/2.16 % (2376927)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2603998695:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.11/2.16 % (2376926)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=836480139:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.11/2.16 % (2376929)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3851473462:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.11/2.16 % (2376927)Refutation not found, incomplete strategy
% 9.11/2.16 % (2376927)------------------------------
% 9.11/2.16 % (2376927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376930)Refutation not found, incomplete strategy
% 9.11/2.16 % (2376930)------------------------------
% 9.11/2.16 % (2376930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376930)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376927)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376930)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.16 % (2376930)Time elapsed: 0.001 s
% 9.11/2.16 % (2376927)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.16 % (2376927)Time elapsed: 0.001 s
% 9.11/2.16 % (2376930)Peak memory usage: 87 MB
% 9.11/2.16 % (2376927)Peak memory usage: 88 MB
% 9.11/2.16 % (2376930)Instructions burned: 1 (million)
% 9.11/2.16 % (2376927)Instructions burned: 1 (million)
% 9.11/2.16 % (2376925)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3398814539:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.11/2.16 % (2376928)Instruction limit reached!
% 9.11/2.16 % (2376928)------------------------------
% 9.11/2.16 % (2376928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376928)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376928)Termination reason: Instruction limit
% 9.11/2.16 % (2376928)Termination phase: Saturation
% 9.11/2.16 % (2376928)Time elapsed: 0.057 s
% 9.11/2.16 % (2376928)Peak memory usage: 88 MB
% 9.11/2.16 % (2376928)Instructions burned: 120 (million)
% 9.11/2.16 % (2376929)Instruction limit reached!
% 9.11/2.16 % (2376929)------------------------------
% 9.11/2.16 % (2376929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376929)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376929)Termination reason: Instruction limit
% 9.11/2.16 % (2376929)Termination phase: Saturation
% 9.11/2.16 % (2376929)Time elapsed: 0.072 s
% 9.11/2.16 % (2376929)Peak memory usage: 89 MB
% 9.11/2.16 % (2376929)Instructions burned: 140 (million)
% 9.11/2.16 % (2376930)------------------------------
% 9.11/2.16 % (2376930)------------------------------
% 9.11/2.16 % (2376927)------------------------------
% 9.11/2.16 % (2376927)------------------------------
% 9.11/2.16 % (2376946)lrs+10_1_sil=8000:sp=occurrence:random_seed=1007352541:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.11/2.16 % (2376947)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1808446167:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.11/2.16 % (2376947)Instruction limit reached!
% 9.11/2.16 % (2376947)------------------------------
% 9.11/2.16 % (2376947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376947)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376947)Termination reason: Instruction limit
% 9.11/2.16 % (2376947)Termination phase: Saturation
% 9.11/2.16 % (2376947)Time elapsed: 0.081 s
% 9.11/2.16 % (2376947)Peak memory usage: 89 MB
% 9.11/2.16 % (2376947)Instructions burned: 157 (million)
% 9.11/2.16 % (2376946)Instruction limit reached!
% 9.11/2.16 % (2376946)------------------------------
% 9.11/2.16 % (2376946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376946)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376946)Termination reason: Instruction limit
% 9.11/2.16 % (2376946)Termination phase: Saturation
% 9.11/2.16 % (2376946)Time elapsed: 0.151 s
% 9.11/2.16 % (2376946)Peak memory usage: 92 MB
% 9.11/2.16 % (2376946)Instructions burned: 286 (million)
% 9.11/2.16 % (2376948)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2775135694:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.11/2.16 % (2376949)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1834576271:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.11/2.16 % (2376926)Refutation not found, incomplete strategy
% 9.11/2.16 % (2376926)------------------------------
% 9.11/2.16 % (2376926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376926)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376926)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.16 % (2376926)Time elapsed: 0.527 s
% 9.11/2.16 % (2376926)Peak memory usage: 127 MB
% 9.11/2.16 % (2376926)Instructions burned: 891 (million)
% 9.11/2.16 % (2376948)Instruction limit reached!
% 9.11/2.16 % (2376948)------------------------------
% 9.11/2.16 % (2376948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376948)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376948)Termination reason: Instruction limit
% 9.11/2.16 % (2376948)Termination phase: Saturation
% 9.11/2.16 % (2376948)Time elapsed: 0.159 s
% 9.11/2.16 % (2376948)Peak memory usage: 92 MB
% 9.11/2.16 % (2376948)Instructions burned: 327 (million)
% 9.11/2.16 % (2376949)Instruction limit reached!
% 9.11/2.16 % (2376949)------------------------------
% 9.11/2.16 % (2376949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (2376949)CaDiCaL version: 2.1.3
% 9.11/2.16 % (2376949)Termination reason: Instruction limit
% 9.11/2.16 % (2376949)Termination phase: Saturation
% 9.11/2.16 % (2376949)Time elapsed: 0.131 s
% 9.11/2.16 % (2376949)Peak memory usage: 91 MB
% 9.11/2.16 % (2376949)Instructions burned: 249 (million)
% 9.11/2.16 % (2376952)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3452799499:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 9.11/2.16 % (2376952)Refutation not found, incomplete strategy
% 9.11/2.16 % (2376952)------------------------------
% 9.11/2.16 % (2376952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (2376952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.17 % (2376952)CaDiCaL version: 2.1.3
% 9.11/2.17 % (2376952)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.17 % (2376952)Time elapsed: 0.002 s
% 9.11/2.17 % (2376952)Peak memory usage: 88 MB
% 9.11/2.17 % (2376952)Instructions burned: 1 (million)
% 9.11/2.17 % (2376953)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1764047167:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.11/2.17 % (2376926)------------------------------
% 9.11/2.17 % (2376926)------------------------------
% 9.11/2.17 % (2376925)First to succeed.
% 9.11/2.17 % (2376925)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2376910"
% 9.11/2.17 % (2376956)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=734540125:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 9.11/2.17 % (2376956)Refutation not found, incomplete strategy
% 9.11/2.17 % (2376956)------------------------------
% 9.11/2.17 % (2376956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.17 % (2376956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.17 % (2376956)CaDiCaL version: 2.1.3
% 9.11/2.17 % (2376956)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.17 % (2376956)Time elapsed: 0.002 s
% 9.11/2.17 % (2376956)Peak memory usage: 88 MB
% 9.11/2.17 % (2376956)Instructions burned: 2 (million)
% 9.11/2.17 % (2376957)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=798464813:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 9.11/2.17 % (2376957)Refutation not found, incomplete strategy
% 9.11/2.17 % (2376957)------------------------------
% 9.11/2.17 % (2376957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.17 % (2376957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.17 % (2376957)CaDiCaL version: 2.1.3
% 9.11/2.17 % (2376957)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.17 % (2376957)Time elapsed: 0.001 s
% 9.11/2.17 % (2376957)Peak memory usage: 88 MB
% 9.11/2.17 % (2376957)Instructions burned: 1 (million)
% 9.11/2.17 % (2376952)------------------------------
% 9.11/2.17 % (2376952)------------------------------
% 9.11/2.17 % (2376960)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2401816417:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 9.11/2.17 % (2376960)Refutation not found, incomplete strategy
% 9.11/2.17 % (2376960)------------------------------
% 9.11/2.17 % (2376960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.17 % (2376960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.17 % (2376960)CaDiCaL version: 2.1.3
% 9.11/2.17 % (2376960)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.17 % (2376960)Time elapsed: 0.002 s
% 9.11/2.17 % (2376960)Peak memory usage: 88 MB
% 9.11/2.17 % (2376960)Instructions burned: 1 (million)
% 9.11/2.17 % (2376956)------------------------------
% 9.11/2.17 % (2376956)------------------------------
% 9.11/2.17 % (2376957)------------------------------
% 9.11/2.17 % (2376957)------------------------------
% 9.11/2.17 % (2376925)Refutation found. Thanks to Tanya!
% 9.11/2.17 % SZS status Theorem for theBenchmark
% 9.11/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.93/2.38 % (2376925)------------------------------
% 9.93/2.38 % (2376925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.38 % (2376925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.38 % (2376925)CaDiCaL version: 2.1.3
% 9.93/2.38 % (2376925)Termination reason: Refutation
% 9.93/2.38 % (2376925)Time elapsed: 0.841 s
% 9.93/2.38 % (2376925)Peak memory usage: 133 MB
% 9.93/2.38 % (2376925)Instructions burned: 1404 (million)
% 9.93/2.38 % (2376925)------------------------------
% 9.93/2.38 % (2376925)------------------------------
% 9.93/2.38 % (2376910)Success in time 1.347 s
% 9.93/2.38 % Vampire exiting
%------------------------------------------------------------------------------