%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX203-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:46:43 PM UTC 2026
% Result : Unsatisfiable 50.55s 7.43s
% Output : Refutation 50.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 159 ( 159 unt; 3 def)
% Number of atoms : 159 ( 158 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 26 ( 26 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 193 ( 193 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : aux(X0,X1,bfalse) = unique(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_001) ).
fof(f5,axiom,
! [X0] : orb(bfalse,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
fof(f6,axiom,
! [X0] : leqNat(z,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).
fof(f7,plain,
! [X0] : btrue = leqNat(z,X0),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0] : leqNat(s(X0),z) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
fof(f9,plain,
! [X0] : bfalse = leqNat(s(X0),z),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] : leqNat(s(X0),s(X1)) = leqNat(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
fof(f13,axiom,
! [X0,X1] : lengthNat(cons(X0,X1)) = s(lengthNat(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(f14,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
fof(f17,axiom,
! [X0] : elemNat(X0,nil) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
fof(f18,plain,
! [X0] : bfalse = elemNat(X0,nil),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X2,X0,X1] : elemNat(X0,cons(X1,X2)) = orb(eq(X0,X1),elemNat(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
fof(f20,axiom,
unique(nil) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(f21,plain,
btrue = unique(nil),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
! [X0,X1] : unique(cons(X0,X1)) = aux(X0,X1,elemNat(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).
fof(f23,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(f24,axiom,
! [X2,X0,X1] : append(cons(X0,X1),X2) = cons(X0,append(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f25,axiom,
rev(nil) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
fof(f26,plain,
nil = rev(nil),
inference(reorient_equations,[],[f25]) ).
fof(f27,axiom,
! [X0,X1] : rev(cons(X0,X1)) = append(rev(X1),cons(X0,nil)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).
fof(f28,axiom,
! [X0] : andb(btrue,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
fof(f33,axiom,
! [X0] : sorted(cons(X0,nil)) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
fof(f34,plain,
! [X0] : btrue = sorted(cons(X0,nil)),
inference(reorient_equations,[],[f33]) ).
fof(f35,axiom,
! [X2,X0,X1] : sorted(cons(X0,cons(X1,X2))) = andb(leqNat(X0,X1),sorted(cons(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).
fof(f36,axiom,
! [X0] : psorted_rev(X0) = impl(eq2(sorted(rev(X0)),btrue),impl(eq2(unique(X0),btrue),eq2(leqNat(lengthNat(X0),s(s(s(z)))),btrue))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_024) ).
fof(f37,axiom,
eq2(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025) ).
fof(f38,plain,
bfalse = eq2(bfalse,btrue),
inference(reorient_equations,[],[f37]) ).
fof(f41,axiom,
! [X0,X1] : eq(s(X0),s(X1)) = eq(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_027) ).
fof(f42,plain,
! [X0,X1] : eq(X0,X1) = eq(s(X0),s(X1)),
inference(reorient_equations,[],[f41]) ).
fof(f45,axiom,
! [X0] : eq(s(X0),z) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029) ).
fof(f46,plain,
! [X0] : bfalse = eq(s(X0),z),
inference(reorient_equations,[],[f45]) ).
fof(f49,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031) ).
fof(f50,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
! [X0] : eq2(psorted_rev(X0),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f52,plain,
! [X0] : btrue != eq2(psorted_rev(X0),bfalse),
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
! [X0] : btrue != eq2(impl(eq2(sorted(rev(X0)),btrue),impl(eq2(unique(X0),btrue),eq2(leqNat(lengthNat(X0),s(s(s(z)))),btrue))),bfalse),
inference(definition_unfolding,[],[f52,f36]) ).
fof(f54,definition,
sF0 = s(z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f55,plain,
s(z) = sF0,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF1 = s(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f57,plain,
s(sF0) = sF1,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF2 = s(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f59,plain,
s(sF1) = sF2,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
! [X0] : btrue != eq2(impl(eq2(sorted(rev(X0)),btrue),impl(eq2(unique(X0),btrue),eq2(leqNat(lengthNat(X0),sF2),btrue))),bfalse),
inference(definition_folding,[],[f53,f59,f57,f55]) ).
fof(f99,plain,
bfalse = eq(sF0,z),
inference(superposition,[],[f46,f55]) ).
fof(f100,plain,
bfalse = eq(sF1,z),
inference(superposition,[],[f46,f57]) ).
fof(f101,plain,
bfalse = eq(sF2,z),
inference(superposition,[],[f46,f59]) ).
fof(f102,plain,
! [X0,X1] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,X0))),btrue),impl(eq2(unique(cons(X1,X0)),btrue),eq2(leqNat(s(lengthNat(X0)),sF2),btrue))),bfalse),
inference(superposition,[],[f60,f13]) ).
fof(f104,plain,
! [X2,X0,X1] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,X0)))),btrue),impl(eq2(unique(cons(X1,cons(X2,X0))),btrue),eq2(leqNat(s(s(lengthNat(X0))),sF2),btrue))),bfalse),
inference(superposition,[],[f102,f13]) ).
fof(f106,plain,
! [X0] : leqNat(z,X0) = leqNat(sF0,s(X0)),
inference(superposition,[],[f10,f55]) ).
fof(f107,plain,
! [X0] : leqNat(sF0,X0) = leqNat(sF1,s(X0)),
inference(superposition,[],[f10,f57]) ).
fof(f108,plain,
! [X0] : leqNat(sF1,X0) = leqNat(sF2,s(X0)),
inference(superposition,[],[f10,f59]) ).
fof(f109,plain,
! [X0] : leqNat(X0,z) = leqNat(s(X0),sF0),
inference(superposition,[],[f10,f55]) ).
fof(f110,plain,
! [X0] : leqNat(X0,sF0) = leqNat(s(X0),sF1),
inference(superposition,[],[f10,f57]) ).
fof(f111,plain,
! [X0] : leqNat(X0,sF1) = leqNat(s(X0),sF2),
inference(superposition,[],[f10,f59]) ).
fof(f112,plain,
! [X0] : btrue = leqNat(sF0,s(X0)),
inference(forward_demodulation,[],[f106,f7]) ).
fof(f114,plain,
! [X0] : eq(sF0,X0) = eq(sF1,s(X0)),
inference(superposition,[],[f42,f57]) ).
fof(f115,plain,
! [X0] : eq(sF1,X0) = eq(sF2,s(X0)),
inference(superposition,[],[f42,f59]) ).
fof(f116,plain,
! [X0] : eq(X0,z) = eq(s(X0),sF0),
inference(superposition,[],[f42,f55]) ).
fof(f118,plain,
! [X0] : eq(X0,sF1) = eq(s(X0),sF2),
inference(superposition,[],[f42,f59]) ).
fof(f122,plain,
! [X2,X3,X0,X1] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,cons(X3,X0))))),btrue),impl(eq2(unique(cons(X1,cons(X2,cons(X3,X0)))),btrue),eq2(leqNat(s(s(s(lengthNat(X0)))),sF2),btrue))),bfalse),
inference(superposition,[],[f104,f13]) ).
fof(f123,plain,
! [X2,X3,X0,X1] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,cons(X3,X0))))),btrue),impl(eq2(unique(cons(X1,cons(X2,cons(X3,X0)))),btrue),eq2(leqNat(s(s(lengthNat(X0))),sF1),btrue))),bfalse),
inference(forward_demodulation,[],[f122,f111]) ).
fof(f125,plain,
! [X2,X3,X0,X1] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,cons(X3,X0))))),btrue),impl(eq2(unique(cons(X1,cons(X2,cons(X3,X0)))),btrue),eq2(leqNat(s(lengthNat(X0)),sF0),btrue))),bfalse),
inference(forward_demodulation,[],[f123,f110]) ).
fof(f127,plain,
! [X2,X3,X0,X1] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,cons(X3,X0))))),btrue),impl(eq2(unique(cons(X1,cons(X2,cons(X3,X0)))),btrue),eq2(leqNat(lengthNat(X0),z),btrue))),bfalse),
inference(forward_demodulation,[],[f125,f109]) ).
fof(f130,plain,
! [X0] : unique(cons(X0,nil)) = aux(X0,nil,bfalse),
inference(superposition,[],[f22,f18]) ).
fof(f131,plain,
! [X0] : unique(nil) = unique(cons(X0,nil)),
inference(forward_demodulation,[],[f130,f2]) ).
fof(f132,plain,
! [X0] : btrue = unique(cons(X0,nil)),
inference(forward_demodulation,[],[f131,f21]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,cons(X3,cons(X4,X0)))))),btrue),impl(eq2(unique(cons(X1,cons(X2,cons(X3,cons(X4,X0))))),btrue),eq2(leqNat(s(lengthNat(X0)),z),btrue))),bfalse),
inference(superposition,[],[f127,f13]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,cons(X3,cons(X4,X0)))))),btrue),impl(eq2(unique(cons(X1,cons(X2,cons(X3,cons(X4,X0))))),btrue),eq2(bfalse,btrue))),bfalse),
inference(forward_demodulation,[],[f134,f9]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X4] : btrue != eq2(impl(eq2(sorted(rev(cons(X1,cons(X2,cons(X3,cons(X4,X0)))))),btrue),impl(eq2(unique(cons(X1,cons(X2,cons(X3,cons(X4,X0))))),btrue),bfalse)),bfalse),
inference(forward_demodulation,[],[f135,f38]) ).
fof(f139,plain,
! [X0] : rev(cons(X0,nil)) = append(nil,cons(X0,nil)),
inference(superposition,[],[f27,f26]) ).
fof(f140,plain,
! [X0] : cons(X0,nil) = rev(cons(X0,nil)),
inference(forward_demodulation,[],[f139,f23]) ).
fof(f145,plain,
! [X0,X1] : elemNat(s(X0),cons(z,X1)) = orb(bfalse,elemNat(s(X0),X1)),
inference(superposition,[],[f19,f46]) ).
fof(f146,plain,
! [X2,X0,X1] : elemNat(s(X0),cons(s(X1),X2)) = orb(eq(X0,X1),elemNat(s(X0),X2)),
inference(superposition,[],[f19,f42]) ).
fof(f147,plain,
! [X0,X1] : elemNat(X0,cons(X1,nil)) = orb(eq(X0,X1),bfalse),
inference(superposition,[],[f19,f18]) ).
fof(f148,plain,
! [X0,X1] : elemNat(s(X0),cons(z,X1)) = elemNat(s(X0),X1),
inference(forward_demodulation,[],[f145,f5]) ).
fof(f155,plain,
! [X2,X0,X1] : sorted(cons(s(X0),cons(s(X1),X2))) = andb(leqNat(X0,X1),sorted(cons(s(X1),X2))),
inference(superposition,[],[f35,f10]) ).
fof(f159,plain,
! [X0,X1] : sorted(cons(X0,cons(X1,nil))) = andb(leqNat(X0,X1),btrue),
inference(superposition,[],[f35,f34]) ).
fof(f167,plain,
! [X0] : elemNat(sF0,cons(z,X0)) = orb(bfalse,elemNat(sF0,X0)),
inference(superposition,[],[f19,f99]) ).
fof(f168,plain,
! [X0] : elemNat(sF0,cons(z,X0)) = elemNat(sF0,X0),
inference(forward_demodulation,[],[f167,f5]) ).
fof(f171,plain,
! [X0] : elemNat(sF2,cons(z,X0)) = orb(bfalse,elemNat(sF2,X0)),
inference(superposition,[],[f19,f101]) ).
fof(f172,plain,
! [X0] : elemNat(sF2,cons(z,X0)) = elemNat(sF2,X0),
inference(forward_demodulation,[],[f171,f5]) ).
fof(f174,plain,
btrue = leqNat(sF0,sF1),
inference(superposition,[],[f112,f57]) ).
fof(f175,plain,
btrue = leqNat(sF0,sF2),
inference(superposition,[],[f112,f59]) ).
fof(f215,plain,
! [X0] : sorted(cons(sF0,cons(sF1,X0))) = andb(btrue,sorted(cons(sF1,X0))),
inference(superposition,[],[f35,f174]) ).
fof(f216,plain,
! [X0] : sorted(cons(sF0,cons(sF1,X0))) = sorted(cons(sF1,X0)),
inference(forward_demodulation,[],[f215,f28]) ).
fof(f219,plain,
leqNat(sF0,sF1) = leqNat(sF1,sF2),
inference(superposition,[],[f107,f59]) ).
fof(f222,plain,
btrue = leqNat(sF1,sF2),
inference(forward_demodulation,[],[f219,f174]) ).
fof(f310,plain,
eq(sF0,z) = eq(sF1,sF0),
inference(superposition,[],[f114,f55]) ).
fof(f316,plain,
bfalse = eq(sF1,sF0),
inference(forward_demodulation,[],[f310,f99]) ).
fof(f319,plain,
eq(sF1,z) = eq(sF2,sF0),
inference(superposition,[],[f115,f55]) ).
fof(f320,plain,
eq(sF1,sF0) = eq(sF2,sF1),
inference(superposition,[],[f115,f57]) ).
fof(f324,plain,
bfalse = eq(sF2,sF1),
inference(forward_demodulation,[],[f320,f316]) ).
fof(f325,plain,
bfalse = eq(sF2,sF0),
inference(forward_demodulation,[],[f319,f100]) ).
fof(f361,plain,
! [X0,X1] : rev(cons(X1,cons(X0,nil))) = append(cons(X0,nil),cons(X1,nil)),
inference(superposition,[],[f27,f140]) ).
fof(f364,plain,
! [X0,X1] : rev(cons(X1,cons(X0,nil))) = cons(X0,append(nil,cons(X1,nil))),
inference(forward_demodulation,[],[f361,f24]) ).
fof(f369,plain,
! [X0,X1] : cons(X0,cons(X1,nil)) = rev(cons(X1,cons(X0,nil))),
inference(forward_demodulation,[],[f364,f23]) ).
fof(f430,plain,
! [X0] : elemNat(s(X0),cons(sF0,nil)) = orb(eq(X0,z),bfalse),
inference(superposition,[],[f147,f116]) ).
fof(f438,plain,
! [X0] : elemNat(sF1,cons(s(X0),nil)) = orb(eq(sF0,X0),bfalse),
inference(superposition,[],[f147,f114]) ).
fof(f449,plain,
! [X0] : elemNat(sF1,cons(s(X0),nil)) = elemNat(sF0,cons(X0,nil)),
inference(forward_demodulation,[],[f438,f147]) ).
fof(f457,plain,
! [X0] : elemNat(s(X0),cons(sF0,nil)) = elemNat(X0,cons(z,nil)),
inference(forward_demodulation,[],[f430,f147]) ).
fof(f486,plain,
! [X2,X0,X1] : elemNat(s(X0),cons(X2,cons(z,X1))) = orb(eq(s(X0),X2),elemNat(s(X0),X1)),
inference(superposition,[],[f19,f148]) ).
fof(f488,plain,
! [X2,X0,X1] : elemNat(s(X0),cons(X2,cons(z,X1))) = elemNat(s(X0),cons(X2,X1)),
inference(forward_demodulation,[],[f486,f19]) ).
fof(f525,plain,
! [X0,X1] : elemNat(s(s(X0)),cons(s(sF2),X1)) = orb(eq(X0,sF1),elemNat(s(s(X0)),X1)),
inference(superposition,[],[f146,f118]) ).
fof(f536,plain,
! [X0] : orb(bfalse,elemNat(s(sF2),X0)) = elemNat(s(sF2),cons(s(sF0),X0)),
inference(superposition,[],[f146,f325]) ).
fof(f548,plain,
! [X0] : orb(bfalse,elemNat(s(sF2),X0)) = elemNat(s(sF2),cons(sF1,X0)),
inference(forward_demodulation,[],[f536,f57]) ).
fof(f567,plain,
! [X0] : elemNat(s(sF2),X0) = elemNat(s(sF2),cons(sF1,X0)),
inference(forward_demodulation,[],[f548,f5]) ).
fof(f647,plain,
! [X0,X1] : sorted(cons(s(sF2),cons(s(s(X0)),X1))) = andb(leqNat(sF1,X0),sorted(cons(s(s(X0)),X1))),
inference(superposition,[],[f155,f108]) ).
fof(f809,plain,
! [X2,X0,X1] : rev(cons(X2,cons(X1,cons(X0,nil)))) = append(cons(X0,cons(X1,nil)),cons(X2,nil)),
inference(superposition,[],[f27,f369]) ).
fof(f812,plain,
! [X2,X0,X1] : rev(cons(X2,cons(X1,cons(X0,nil)))) = cons(X0,append(cons(X1,nil),cons(X2,nil))),
inference(forward_demodulation,[],[f809,f24]) ).
fof(f820,plain,
! [X2,X0,X1] : rev(cons(X2,cons(X1,cons(X0,nil)))) = cons(X0,cons(X1,append(nil,cons(X2,nil)))),
inference(forward_demodulation,[],[f812,f24]) ).
fof(f826,plain,
! [X2,X0,X1] : cons(X0,cons(X1,cons(X2,nil))) = rev(cons(X2,cons(X1,cons(X0,nil)))),
inference(forward_demodulation,[],[f820,f23]) ).
fof(f951,plain,
! [X0] : unique(cons(sF1,cons(s(X0),nil))) = aux(sF1,cons(s(X0),nil),elemNat(sF0,cons(X0,nil))),
inference(superposition,[],[f22,f449]) ).
fof(f1026,plain,
! [X0,X1] : elemNat(s(X0),cons(s(X1),cons(sF0,nil))) = orb(eq(X0,X1),elemNat(X0,cons(z,nil))),
inference(superposition,[],[f146,f457]) ).
fof(f1031,plain,
! [X0,X1] : elemNat(s(X0),cons(s(X1),cons(sF0,nil))) = elemNat(X0,cons(X1,cons(z,nil))),
inference(forward_demodulation,[],[f1026,f19]) ).
fof(f2650,plain,
! [X0] : elemNat(s(s(sF2)),cons(s(sF2),X0)) = orb(bfalse,elemNat(s(s(sF2)),X0)),
inference(superposition,[],[f525,f324]) ).
fof(f2677,plain,
! [X0] : elemNat(s(s(sF2)),cons(s(sF2),X0)) = elemNat(s(s(sF2)),X0),
inference(forward_demodulation,[],[f2650,f5]) ).
fof(f2937,plain,
! [X0] : sorted(cons(s(sF2),cons(s(s(sF2)),X0))) = andb(btrue,sorted(cons(s(s(sF2)),X0))),
inference(superposition,[],[f647,f222]) ).
fof(f2959,plain,
! [X0] : sorted(cons(s(sF2),cons(s(s(sF2)),X0))) = sorted(cons(s(s(sF2)),X0)),
inference(forward_demodulation,[],[f2937,f28]) ).
fof(f4501,plain,
! [X0] : unique(cons(s(sF2),cons(sF1,X0))) = aux(s(sF2),cons(sF1,X0),elemNat(s(sF2),X0)),
inference(superposition,[],[f22,f567]) ).
fof(f6660,plain,
! [X0] : unique(cons(s(s(sF2)),cons(s(sF2),X0))) = aux(s(s(sF2)),cons(s(sF2),X0),elemNat(s(s(sF2)),X0)),
inference(superposition,[],[f22,f2677]) ).
fof(f7603,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = append(cons(X0,cons(X1,cons(X2,nil))),cons(X3,nil)),
inference(superposition,[],[f27,f826]) ).
fof(f7606,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,append(cons(X1,cons(X2,nil)),cons(X3,nil))),
inference(forward_demodulation,[],[f7603,f24]) ).
fof(f7621,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,cons(X1,append(cons(X2,nil),cons(X3,nil)))),
inference(forward_demodulation,[],[f7606,f24]) ).
fof(f7636,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,cons(X1,cons(X2,append(nil,cons(X3,nil))))),
inference(forward_demodulation,[],[f7621,f24]) ).
fof(f7651,plain,
! [X2,X3,X0,X1] : rev(cons(X3,cons(X2,cons(X1,cons(X0,nil))))) = cons(X0,cons(X1,cons(X2,cons(X3,nil)))),
inference(forward_demodulation,[],[f7636,f23]) ).
fof(f8355,plain,
! [X0,X1] : sorted(cons(X1,cons(s(sF2),cons(s(s(sF2)),X0)))) = andb(leqNat(X1,s(sF2)),sorted(cons(s(s(sF2)),X0))),
inference(superposition,[],[f35,f2959]) ).
fof(f8356,plain,
! [X0,X1] : sorted(cons(X1,cons(s(sF2),cons(s(s(sF2)),X0)))) = sorted(cons(s(X1),cons(s(s(sF2)),X0))),
inference(forward_demodulation,[],[f8355,f155]) ).
fof(f8521,plain,
! [X0] : elemNat(s(X0),cons(sF1,cons(sF0,nil))) = elemNat(X0,cons(sF0,cons(z,nil))),
inference(superposition,[],[f1031,f57]) ).
fof(f9921,plain,
unique(cons(sF1,cons(s(z),nil))) = aux(sF1,cons(s(z),nil),elemNat(sF0,nil)),
inference(superposition,[],[f951,f168]) ).
fof(f9932,plain,
unique(cons(sF1,cons(s(z),nil))) = aux(sF1,cons(s(z),nil),bfalse),
inference(forward_demodulation,[],[f9921,f18]) ).
fof(f9941,plain,
unique(cons(sF1,cons(s(z),nil))) = unique(cons(s(z),nil)),
inference(forward_demodulation,[],[f9932,f2]) ).
fof(f9949,plain,
btrue = unique(cons(sF1,cons(s(z),nil))),
inference(forward_demodulation,[],[f9941,f132]) ).
fof(f9953,plain,
btrue = unique(cons(sF1,cons(sF0,nil))),
inference(forward_demodulation,[],[f9949,f55]) ).
fof(f38969,plain,
unique(cons(s(sF2),cons(sF1,cons(sF0,nil)))) = aux(s(sF2),cons(sF1,cons(sF0,nil)),elemNat(sF2,cons(z,nil))),
inference(superposition,[],[f4501,f457]) ).
fof(f39004,plain,
unique(cons(s(sF2),cons(sF1,cons(sF0,nil)))) = aux(s(sF2),cons(sF1,cons(sF0,nil)),elemNat(sF2,nil)),
inference(forward_demodulation,[],[f38969,f172]) ).
fof(f39020,plain,
unique(cons(s(sF2),cons(sF1,cons(sF0,nil)))) = aux(s(sF2),cons(sF1,cons(sF0,nil)),bfalse),
inference(forward_demodulation,[],[f39004,f18]) ).
fof(f39032,plain,
unique(cons(sF1,cons(sF0,nil))) = unique(cons(s(sF2),cons(sF1,cons(sF0,nil)))),
inference(forward_demodulation,[],[f39020,f2]) ).
fof(f39044,plain,
btrue = unique(cons(s(sF2),cons(sF1,cons(sF0,nil)))),
inference(forward_demodulation,[],[f39032,f9953]) ).
fof(f55932,plain,
! [X2,X3,X0,X1] : btrue != eq2(impl(eq2(sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil))))),btrue),impl(eq2(unique(cons(X3,cons(X2,cons(X1,cons(X0,nil))))),btrue),bfalse)),bfalse),
inference(superposition,[],[f137,f7651]) ).
fof(f77040,plain,
! [X0,X1] : btrue != eq2(impl(eq2(sorted(cons(sF1,cons(X0,cons(X1,nil)))),btrue),impl(eq2(unique(cons(X1,cons(X0,cons(sF1,cons(sF0,nil))))),btrue),bfalse)),bfalse),
inference(superposition,[],[f55932,f216]) ).
fof(f80971,plain,
unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))) = aux(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))),elemNat(s(sF2),cons(sF0,cons(z,nil)))),
inference(superposition,[],[f6660,f8521]) ).
fof(f80998,plain,
unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))) = aux(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))),elemNat(s(sF2),cons(sF0,nil))),
inference(forward_demodulation,[],[f80971,f488]) ).
fof(f81027,plain,
unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))) = aux(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))),elemNat(sF2,cons(z,nil))),
inference(forward_demodulation,[],[f80998,f457]) ).
fof(f81047,plain,
unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))) = aux(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))),elemNat(sF2,nil)),
inference(forward_demodulation,[],[f81027,f172]) ).
fof(f81061,plain,
unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))) = aux(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))),bfalse),
inference(forward_demodulation,[],[f81047,f18]) ).
fof(f81073,plain,
unique(cons(s(sF2),cons(sF1,cons(sF0,nil)))) = unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))),
inference(forward_demodulation,[],[f81061,f2]) ).
fof(f81083,plain,
btrue = unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))),
inference(forward_demodulation,[],[f81073,f39044]) ).
fof(f131685,plain,
btrue != eq2(impl(eq2(sorted(cons(s(sF1),cons(s(s(sF2)),nil))),btrue),impl(eq2(unique(cons(s(s(sF2)),cons(s(sF2),cons(sF1,cons(sF0,nil))))),btrue),bfalse)),bfalse),
inference(superposition,[],[f77040,f8356]) ).
fof(f131757,plain,
btrue != eq2(impl(eq2(sorted(cons(s(sF1),cons(s(s(sF2)),nil))),btrue),impl(eq2(btrue,btrue),bfalse)),bfalse),
inference(forward_demodulation,[],[f131685,f81083]) ).
fof(f131805,plain,
btrue != eq2(impl(eq2(sorted(cons(s(sF1),cons(s(s(sF2)),nil))),btrue),impl(btrue,bfalse)),bfalse),
inference(forward_demodulation,[],[f131757,f50]) ).
fof(f131843,plain,
btrue != eq2(impl(eq2(sorted(cons(s(sF1),cons(s(s(sF2)),nil))),btrue),bfalse),bfalse),
inference(forward_demodulation,[],[f131805,f14]) ).
fof(f131869,plain,
btrue != eq2(impl(eq2(andb(leqNat(s(sF1),s(s(sF2))),btrue),btrue),bfalse),bfalse),
inference(forward_demodulation,[],[f131843,f159]) ).
fof(f131886,plain,
btrue != eq2(impl(eq2(andb(leqNat(sF1,s(sF2)),btrue),btrue),bfalse),bfalse),
inference(forward_demodulation,[],[f131869,f10]) ).
fof(f131893,plain,
btrue != eq2(impl(eq2(andb(leqNat(sF0,sF2),btrue),btrue),bfalse),bfalse),
inference(forward_demodulation,[],[f131886,f107]) ).
fof(f131896,plain,
btrue != eq2(impl(eq2(andb(btrue,btrue),btrue),bfalse),bfalse),
inference(forward_demodulation,[],[f131893,f175]) ).
fof(f131898,plain,
btrue != eq2(impl(eq2(btrue,btrue),bfalse),bfalse),
inference(forward_demodulation,[],[f131896,f28]) ).
fof(f131900,plain,
btrue != eq2(impl(btrue,bfalse),bfalse),
inference(forward_demodulation,[],[f131898,f50]) ).
fof(f131901,plain,
btrue != eq2(bfalse,bfalse),
inference(forward_demodulation,[],[f131900,f14]) ).
fof(f131902,plain,
$false,
inference(forward_subsumption_resolution,[],[f131901,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX203-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:10:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.69/2.36 % (1997393)Will run a generic schedule for satisfiability detection.
% 14.69/2.36 % (1997400)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3050860226:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.69/2.36 % (1997399)% WARNING: option uhcvi not known.
% 14.69/2.36 % (1997398)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3732554558_2999 on theBenchmark for (2999ds/0Mi)
% 14.69/2.36 % (1997399)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2570474958:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.69/2.36 % (1997403)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2850072811:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.69/2.36 % (1997401)dis+10_1_sil=32000:sp=arity:random_seed=3844784630:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.69/2.36 % (1997402)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2009023959:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.69/2.36 % (1997404)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1182057774:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.69/2.36 % TRYING [1]
% 14.69/2.36 % TRYING [2]
% 14.69/2.36 % TRYING [3]
% 14.69/2.36 % TRYING [4]
% 14.69/2.36 % TRYING [5]
% 14.69/2.36 % (1997401)Instruction limit reached!
% 14.69/2.36 % (1997401)------------------------------
% 14.69/2.36 % (1997401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.36 % (1997401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.36 % (1997401)CaDiCaL version: 2.1.3
% 14.69/2.36 % (1997401)Termination reason: Instruction limit
% 14.69/2.36 % (1997401)Termination phase: Saturation
% 14.69/2.36 % (1997401)Time elapsed: 0.057 s
% 14.69/2.36 % (1997401)Peak memory usage: 12 MB
% 14.69/2.36 % (1997401)Instructions burned: 104 (million)
% 14.69/2.36 % (1997402)Instruction limit reached!
% 14.69/2.36 % (1997402)------------------------------
% 14.69/2.36 % (1997402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.36 % (1997402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.36 % (1997402)CaDiCaL version: 2.1.3
% 14.69/2.36 % (1997402)Termination reason: Instruction limit
% 14.69/2.36 % (1997402)Termination phase: Saturation
% 14.69/2.36 % (1997402)Time elapsed: 0.069 s
% 14.69/2.36 % (1997402)Peak memory usage: 12 MB
% 14.69/2.36 % (1997402)Instructions burned: 120 (million)
% 14.69/2.36 % (1997403)Instruction limit reached!
% 14.69/2.36 % (1997403)------------------------------
% 14.69/2.36 % (1997403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.36 % (1997403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.36 % (1997403)CaDiCaL version: 2.1.3
% 14.69/2.36 % (1997403)Termination reason: Instruction limit
% 14.69/2.36 % (1997403)Termination phase: Saturation
% 14.69/2.36 % (1997403)Time elapsed: 0.073 s
% 14.69/2.36 % (1997403)Peak memory usage: 13 MB
% 14.69/2.36 % (1997403)Instructions burned: 133 (million)
% 14.69/2.36 % (1997412)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3527761301:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.69/2.36 % TRYING [1]
% 14.69/2.36 % TRYING [2]
% 14.69/2.36 % TRYING [3]
% 14.69/2.36 % (1997404)Instruction limit reached!
% 14.69/2.36 % (1997404)------------------------------
% 14.69/2.36 % (1997404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.36 % (1997404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.36 % (1997404)CaDiCaL version: 2.1.3
% 14.69/2.36 % (1997404)Termination reason: Instruction limit
% 14.69/2.36 % (1997404)Termination phase: Saturation
% 14.69/2.36 % (1997404)Time elapsed: 0.086 s
% 14.69/2.36 % (1997404)Peak memory usage: 12 MB
% 14.69/2.36 % (1997404)Instructions burned: 161 (million)
% 14.69/2.36 % (1997413)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2304960168:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.69/2.36 % TRYING [6]
% 14.69/2.36 % (1997414)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2690492785:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.69/2.36 % TRYING [4]
% 14.69/2.36 % (1997416)ott-21_1_sil=16000:fs=off:random_seed=1638711635:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.69/2.36 % TRYING [5]
% 14.69/2.36 % (1997413)Instruction limit reached!
% 14.69/2.36 % (1997413)------------------------------
% 14.69/2.36 % (1997413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.27/7.08 % (1997413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.27/7.08 % (1997413)CaDiCaL version: 2.1.3
% 48.27/7.08 % (1997413)Termination reason: Instruction limit
% 48.27/7.08 % (1997413)Termination phase: Saturation
% 48.27/7.08 % (1997413)Time elapsed: 0.080 s
% 48.27/7.08 % (1997413)Peak memory usage: 13 MB
% 48.27/7.08 % (1997413)Instructions burned: 132 (million)
% 48.27/7.08 % (1997420)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2449245319:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 48.27/7.08 % (1997416)Instruction limit reached!
% 48.27/7.08 % (1997416)------------------------------
% 48.27/7.08 % (1997416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.27/7.08 % (1997416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.27/7.08 % (1997416)CaDiCaL version: 2.1.3
% 48.27/7.08 % (1997416)Termination reason: Instruction limit
% 48.27/7.08 % (1997416)Termination phase: Saturation
% 48.27/7.08 % (1997416)Time elapsed: 0.095 s
% 48.27/7.08 % (1997416)Peak memory usage: 12 MB
% 48.27/7.08 % (1997416)Instructions burned: 181 (million)
% 48.27/7.08 % (1997422)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2879065528:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.27/7.08 % TRYING [1]
% 48.27/7.08 % TRYING [2]
% 48.27/7.08 % TRYING [3]
% 48.27/7.08 % TRYING [4]
% 48.27/7.08 % TRYING [7]
% 48.27/7.08 % TRYING [5]
% 48.27/7.08 % (1997420)Instruction limit reached!
% 48.27/7.08 % (1997420)------------------------------
% 48.27/7.08 % (1997420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.27/7.08 % (1997420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.27/7.08 % (1997420)CaDiCaL version: 2.1.3
% 48.27/7.08 % (1997420)Termination reason: Instruction limit
% 48.27/7.08 % (1997420)Termination phase: Saturation
% 48.27/7.08 % (1997420)Time elapsed: 0.245 s
% 48.27/7.08 % (1997420)Peak memory usage: 15 MB
% 48.27/7.08 % (1997420)Instructions burned: 479 (million)
% 48.27/7.08 % TRYING [6]
% 48.27/7.08 % (1997424)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1095394500:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 48.27/7.08 % (1997414)Instruction limit reached!
% 48.27/7.08 % (1997414)------------------------------
% 48.27/7.08 % (1997414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.27/7.08 % (1997414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.27/7.08 % (1997414)CaDiCaL version: 2.1.3
% 48.27/7.08 % (1997414)Termination reason: Instruction limit
% 48.27/7.08 % (1997414)Termination phase: Saturation
% 48.27/7.08 % (1997414)Time elapsed: 0.366 s
% 48.27/7.08 % (1997414)Peak memory usage: 17 MB
% 48.27/7.08 % (1997414)Instructions burned: 684 (million)
% 48.27/7.08 % (1997412)Instruction limit reached!
% 48.27/7.08 % (1997412)------------------------------
% 48.27/7.08 % (1997412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.27/7.08 % (1997426)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=7059102:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 48.27/7.08 % (1997412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.27/7.08 % (1997412)CaDiCaL version: 2.1.3
% 48.27/7.08 % (1997412)Termination reason: Instruction limit
% 48.27/7.08 % (1997412)Termination phase: Finite model building SAT solving
% 48.27/7.08 % (1997412)Time elapsed: 0.401 s
% 48.27/7.08 % (1997412)Peak memory usage: 23 MB
% 48.27/7.08 % (1997412)Instructions burned: 714 (million)
% 48.27/7.08 % (1997428)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=367798055:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 48.27/7.08 % (1997422)Instruction limit reached!
% 48.27/7.08 % (1997422)------------------------------
% 48.27/7.08 % (1997422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.27/7.08 % (1997422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.27/7.08 % (1997422)CaDiCaL version: 2.1.3
% 48.27/7.08 % (1997422)Termination reason: Instruction limit
% 48.27/7.08 % (1997422)Termination phase: Finite model building SAT solving
% 48.27/7.08 % (1997422)Time elapsed: 0.338 s
% 48.27/7.08 % (1997422)Peak memory usage: 24 MB
% 48.27/7.08 % (1997422)Instructions burned: 867 (million)
% 48.27/7.08 % (1997430)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=997331719:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 48.27/7.08 % TRYING [14]
% 48.27/7.08 % TRYING [8]
% 50.55/7.43 % (1997426)Instruction limit reached!
% 50.55/7.43 % (1997426)------------------------------
% 50.55/7.43 % (1997426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997426)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997426)Termination reason: Instruction limit
% 50.55/7.43 % (1997426)Termination phase: Finite model building constraint generation
% 50.55/7.43 % (1997426)Time elapsed: 0.335 s
% 50.55/7.43 % (1997426)Peak memory usage: 81 MB
% 50.55/7.43 % (1997426)Instructions burned: 891 (million)
% 50.55/7.43 % (1997432)fmb+10_1_sil=64000:random_seed=1590739670:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 50.55/7.43 % TRYING [1]
% 50.55/7.43 % TRYING [2]
% 50.55/7.43 % TRYING [3]
% 50.55/7.43 % (1997428)Instruction limit reached!
% 50.55/7.43 % (1997428)------------------------------
% 50.55/7.43 % (1997428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997428)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997428)Termination reason: Instruction limit
% 50.55/7.43 % (1997428)Termination phase: Saturation
% 50.55/7.43 % (1997428)Time elapsed: 0.365 s
% 50.55/7.43 % (1997428)Peak memory usage: 21 MB
% 50.55/7.43 % (1997428)Instructions burned: 692 (million)
% 50.55/7.43 % TRYING [4]
% 50.55/7.43 % (1997434)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1106098642:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 50.55/7.43 % TRYING [20]
% 50.55/7.43 % TRYING [5]
% 50.55/7.43 % (1997430)Instruction limit reached!
% 50.55/7.43 % (1997430)------------------------------
% 50.55/7.43 % (1997430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997430)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997430)Termination reason: Instruction limit
% 50.55/7.43 % (1997430)Termination phase: Saturation
% 50.55/7.43 % (1997430)Time elapsed: 0.460 s
% 50.55/7.43 % (1997430)Peak memory usage: 17 MB
% 50.55/7.43 % (1997430)Instructions burned: 880 (million)
% 50.55/7.43 % (1997436)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=162805430:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 50.55/7.43 % TRYING [6]
% 50.55/7.43 % TRYING [8]
% 50.55/7.43 % (1997424)Instruction limit reached!
% 50.55/7.43 % (1997424)------------------------------
% 50.55/7.43 % (1997424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997424)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997424)Termination reason: Instruction limit
% 50.55/7.43 % (1997424)Termination phase: Saturation
% 50.55/7.43 % (1997424)Time elapsed: 0.626 s
% 50.55/7.43 % (1997424)Peak memory usage: 22 MB
% 50.55/7.43 % (1997424)Instructions burned: 1180 (million)
% 50.55/7.43 % (1997438)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3376154577:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 50.55/7.43 % (1997436)Instruction limit reached!
% 50.55/7.43 % (1997436)------------------------------
% 50.55/7.43 % (1997436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997436)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997436)Termination reason: Instruction limit
% 50.55/7.43 % (1997436)Termination phase: Finite model building constraint generation
% 50.55/7.43 % (1997436)Time elapsed: 0.351 s
% 50.55/7.43 % (1997436)Peak memory usage: 66 MB
% 50.55/7.43 % (1997436)Instructions burned: 922 (million)
% 50.55/7.43 % TRYING [7]
% 50.55/7.43 % (1997440)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1118618026:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 50.55/7.43 % (1997440)Instruction limit reached!
% 50.55/7.43 % (1997440)------------------------------
% 50.55/7.43 % (1997440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997440)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997440)Termination reason: Instruction limit
% 50.55/7.43 % (1997440)Termination phase: Saturation
% 50.55/7.43 % (1997440)Time elapsed: 0.640 s
% 50.55/7.43 % (1997440)Peak memory usage: 22 MB
% 50.55/7.43 % (1997440)Instructions burned: 1473 (million)
% 50.55/7.43 % (1997442)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1563244233:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 50.55/7.43 % TRYING [77]
% 50.55/7.43 % TRYING [8]
% 50.55/7.43 % TRYING [9]
% 50.55/7.43 % (1997438)Instruction limit reached!
% 50.55/7.43 % (1997438)------------------------------
% 50.55/7.43 % (1997438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997438)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997438)Termination reason: Instruction limit
% 50.55/7.43 % (1997438)Termination phase: Saturation
% 50.55/7.43 % (1997438)Time elapsed: 2.640 s
% 50.55/7.43 % (1997438)Peak memory usage: 37 MB
% 50.55/7.43 % (1997438)Instructions burned: 5131 (million)
% 50.55/7.43 % (1997444)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1604244942:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 50.55/7.43 % TRYING [16]
% 50.55/7.43 % TRYING [9]
% 50.55/7.43 % (1997434)Instruction limit reached!
% 50.55/7.43 % (1997434)------------------------------
% 50.55/7.43 % (1997434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997434)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997434)Termination reason: Instruction limit
% 50.55/7.43 % (1997434)Termination phase: Finite model building constraint generation
% 50.55/7.43 % (1997434)Time elapsed: 3.428 s
% 50.55/7.43 % (1997434)Peak memory usage: 674 MB
% 50.55/7.43 % (1997434)Instructions burned: 9516 (million)
% 50.55/7.43 % (1997442)Instruction limit reached!
% 50.55/7.43 % (1997442)------------------------------
% 50.55/7.43 % (1997442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997442)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997442)Termination reason: Instruction limit
% 50.55/7.43 % (1997442)Termination phase: Finite model building constraint generation
% 50.55/7.43 % (1997442)Time elapsed: 2.239 s
% 50.55/7.43 % (1997442)Peak memory usage: 458 MB
% 50.55/7.43 % (1997442)Instructions burned: 6326 (million)
% 50.55/7.43 % (1997446)ott-2_1_sil=16000:newcnf=on:random_seed=2116422903:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 50.55/7.43 % (1997447)ott+10_1_sil=32000:tgt=ground:random_seed=2732328262:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 50.55/7.43 % (1997444)Instruction limit reached!
% 50.55/7.43 % (1997444)------------------------------
% 50.55/7.43 % (1997444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997444)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997444)Termination reason: Instruction limit
% 50.55/7.43 % (1997444)Termination phase: Finite model building constraint generation
% 50.55/7.43 % (1997444)Time elapsed: 0.731 s
% 50.55/7.43 % (1997444)Peak memory usage: 134 MB
% 50.55/7.43 % (1997444)Instructions burned: 2174 (million)
% 50.55/7.43 % (1997450)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3207396393:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 50.55/7.43 % TRYING [1]
% 50.55/7.43 % TRYING [2]
% 50.55/7.43 % TRYING [3]
% 50.55/7.43 % TRYING [4]
% 50.55/7.43 % TRYING [5]
% 50.55/7.43 % TRYING [6]
% 50.55/7.43 % TRYING [7]
% 50.55/7.43 % (1997446)Instruction limit reached!
% 50.55/7.43 % (1997446)------------------------------
% 50.55/7.43 % (1997446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997446)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997446)Termination reason: Instruction limit
% 50.55/7.43 % (1997446)Termination phase: Saturation
% 50.55/7.43 % (1997446)Time elapsed: 0.475 s
% 50.55/7.43 % (1997446)Peak memory usage: 20 MB
% 50.55/7.43 % (1997446)Instructions burned: 871 (million)
% 50.55/7.43 % (1997452)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1079624143:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 50.55/7.43 % TRYING [8]
% 50.55/7.43 % (1997452)Instruction limit reached!
% 50.55/7.43 % (1997452)------------------------------
% 50.55/7.43 % (1997452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.43 % (1997452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.43 % (1997452)CaDiCaL version: 2.1.3
% 50.55/7.43 % (1997452)Termination reason: Instruction limit
% 50.55/7.43 % (1997452)Termination phase: Saturation
% 50.55/7.43 % (1997452)Time elapsed: 1.901 s
% 50.55/7.43 % (1997452)Peak memory usage: 37 MB
% 50.55/7.43 % (1997452)Instructions burned: 3513 (million)
% 50.55/7.43 % (1997454)dis+21_1_sil=32000:sas=cadical:random_seed=1150082566:i=3773:amm=off_2931 on theBenchmark for (2931ds/3773Mi)
% 50.55/7.43 % (1997447) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1997393-1997447"...
% 50.55/7.43 % (1997447)...printing done.
% 50.55/7.43 % (1997447)Refutation found. Thanks to Tanya!
% 50.55/7.43 % SZS status Unsatisfiable for theBenchmark
% 50.55/7.43 % SZS output start Proof for theBenchmark
% See solution above
% 50.55/7.44 % (1997447)------------------------------
% 50.55/7.44 % (1997447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.55/7.44 % (1997447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.55/7.44 % (1997447)CaDiCaL version: 2.1.3
% 50.55/7.44 % (1997447)Termination reason: Refutation
% 50.55/7.44 % (1997447)Time elapsed: 2.717 s
% 50.55/7.44 % (1997447)Peak memory usage: 51 MB
% 50.55/7.44 % (1997447)Instructions burned: 5076 (million)
% 50.55/7.44 % (1997393)Success in time 7.202 s
% 50.55/7.44 % Vampire exiting
%------------------------------------------------------------------------------