%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ164-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:46 PM UTC 2026
% Result : Unsatisfiable 57.34s 17.32s
% Output : Refutation 117.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 133 ( 133 unt; 8 def)
% Number of atoms : 133 ( 132 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-5 aty)
% Number of variables : 215 ( 215 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
eq(zero,zero) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
fof(f2,axiom,
! [X0] : eq(zero,s(X0)) = false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
fof(f5,axiom,
! [X0,X1] : eq(s(X0),s(X1)) = eq(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
fof(f8,axiom,
! [X0] : or(false,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6) ).
fof(f9,axiom,
! [X0] : union(empty,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7) ).
fof(f10,axiom,
! [X2,X3,X0,X1] : union(edge(X0,X1,X2),X3) = edge(X0,X1,union(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8) ).
fof(f11,axiom,
! [X2,X0,X1] : reach(X0,X1,empty,X2) = false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9) ).
fof(f12,plain,
! [X2,X0,X1] : false = reach(X0,X1,empty,X2),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X4,X5] : reach(X0,X1,edge(X2,X3,X4),X5) = if_reach_1(eq(X0,X2),X0,X1,edge(X2,X3,X4),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X4,X5] : if_reach_1(true,X0,X1,edge(X2,X3,X4),X5) = if_reach_2(eq(X1,X3),X0,X1,edge(X2,X3,X4),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule11) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4,X5] : if_reach_2(true,X0,X1,edge(X2,X3,X4),X5) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule12) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] : true = if_reach_2(true,X0,X1,edge(X2,X3,X4),X5),
inference(reorient_equations,[],[f15]) ).
fof(f17,axiom,
! [X2,X3,X0,X1,X4,X5] : if_reach_2(false,X0,X1,edge(X2,X3,X4),X5) = or(reach(X0,X1,X4,X5),reach(X3,X1,union(X4,X5),empty)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule13) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X4,X5] : if_reach_1(false,X0,X1,edge(X2,X3,X4),X5) = reach(X0,X1,X4,edge(X2,X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule14) ).
fof(f19,negated_conjecture,
g = edge(zero,s(zero),edge(s(zero),s(s(zero)),edge(s(s(zero)),s(s(s(zero))),edge(s(s(s(zero))),zero,empty)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',graph) ).
fof(f20,negated_conjecture,
reach(zero,zero,g,empty) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f21,plain,
true != reach(zero,zero,g,empty),
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF0 = s(zero),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
s(zero) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF1 = s(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f25,plain,
s(sF0) = sF1,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF2 = s(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f27,plain,
s(sF1) = sF2,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF3 = edge(sF2,zero,empty),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f29,plain,
edge(sF2,zero,empty) = sF3,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF4 = edge(sF1,sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f31,plain,
edge(sF1,sF2,sF3) = sF4,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF5 = edge(sF0,sF1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f33,plain,
edge(sF0,sF1,sF4) = sF5,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF6 = edge(zero,sF0,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f35,plain,
edge(zero,sF0,sF5) = sF6,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
g = sF6,
inference(definition_folding,[],[f19,f35,f33,f31,f29,f27,f25,f23,f27,f25,f23,f25,f23,f25,f23,f23,f23]) ).
fof(f37,definition,
sF7 = reach(zero,zero,g,empty),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f38,plain,
reach(zero,zero,g,empty) = sF7,
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
true != sF7,
inference(definition_folding,[],[f21,f38]) ).
fof(f40,plain,
g = edge(zero,sF0,sF5),
inference(forward_demodulation,[],[f35,f36]) ).
fof(f41,plain,
false = eq(zero,sF0),
inference(superposition,[],[f2,f23]) ).
fof(f42,plain,
false = eq(zero,sF1),
inference(superposition,[],[f2,f25]) ).
fof(f43,plain,
false = eq(zero,sF2),
inference(superposition,[],[f2,f27]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X6,X4,X5] : if_reach_2(false,X0,X1,edge(X2,X3,X4),X5) = if_reach_2(false,X0,X1,edge(X6,X3,X4),X5),
inference(superposition,[],[f17,f17]) ).
fof(f49,plain,
! [X0] : eq(zero,X0) = eq(sF0,s(X0)),
inference(superposition,[],[f5,f23]) ).
fof(f50,plain,
! [X0] : eq(sF0,X0) = eq(sF1,s(X0)),
inference(superposition,[],[f5,f25]) ).
fof(f51,plain,
! [X0] : eq(sF1,X0) = eq(sF2,s(X0)),
inference(superposition,[],[f5,f27]) ).
fof(f56,plain,
! [X2,X0,X1] : reach(X0,X1,sF4,edge(sF0,sF1,X2)) = if_reach_1(false,X0,X1,sF5,X2),
inference(superposition,[],[f18,f33]) ).
fof(f57,plain,
! [X2,X0,X1] : reach(X0,X1,sF3,edge(sF1,sF2,X2)) = if_reach_1(false,X0,X1,sF4,X2),
inference(superposition,[],[f18,f31]) ).
fof(f58,plain,
! [X2,X0,X1] : reach(X0,X1,empty,edge(sF2,zero,X2)) = if_reach_1(false,X0,X1,sF3,X2),
inference(superposition,[],[f18,f29]) ).
fof(f59,plain,
! [X2,X0,X1] : false = if_reach_1(false,X0,X1,sF3,X2),
inference(forward_demodulation,[],[f58,f12]) ).
fof(f66,plain,
! [X2,X0,X1] : union(edge(X1,X2,empty),X0) = edge(X1,X2,X0),
inference(superposition,[],[f10,f9]) ).
fof(f74,plain,
! [X2,X0,X1] : reach(X0,X1,g,X2) = if_reach_1(eq(X0,zero),X0,X1,g,X2),
inference(superposition,[],[f13,f40]) ).
fof(f75,plain,
! [X2,X0,X1] : reach(X0,X1,sF5,X2) = if_reach_1(eq(X0,sF0),X0,X1,sF5,X2),
inference(superposition,[],[f13,f33]) ).
fof(f76,plain,
! [X2,X0,X1] : reach(X0,X1,sF4,X2) = if_reach_1(eq(X0,sF1),X0,X1,sF4,X2),
inference(superposition,[],[f13,f31]) ).
fof(f77,plain,
! [X2,X0,X1] : reach(X0,X1,sF3,X2) = if_reach_1(eq(X0,sF2),X0,X1,sF3,X2),
inference(superposition,[],[f13,f29]) ).
fof(f81,plain,
eq(sF0,sF0) = eq(sF1,sF1),
inference(superposition,[],[f50,f25]) ).
fof(f82,plain,
eq(sF0,sF1) = eq(sF1,sF2),
inference(superposition,[],[f50,f27]) ).
fof(f85,plain,
eq(zero,zero) = eq(sF0,sF0),
inference(superposition,[],[f49,f23]) ).
fof(f86,plain,
eq(zero,sF0) = eq(sF0,sF1),
inference(superposition,[],[f49,f25]) ).
fof(f87,plain,
eq(zero,sF1) = eq(sF0,sF2),
inference(superposition,[],[f49,f27]) ).
fof(f89,plain,
false = eq(sF0,sF2),
inference(forward_demodulation,[],[f87,f42]) ).
fof(f90,plain,
false = eq(sF0,sF1),
inference(forward_demodulation,[],[f86,f41]) ).
fof(f91,plain,
true = eq(sF0,sF0),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f92,plain,
false = eq(sF1,sF2),
inference(backward_demodulation,[],[f82,f90]) ).
fof(f93,plain,
true = eq(sF1,sF1),
inference(backward_demodulation,[],[f81,f91]) ).
fof(f97,plain,
eq(sF1,sF1) = eq(sF2,sF2),
inference(superposition,[],[f51,f27]) ).
fof(f99,plain,
true = eq(sF2,sF2),
inference(forward_demodulation,[],[f97,f93]) ).
fof(f157,plain,
! [X2,X3,X0,X1] : if_reach_1(true,X0,zero,edge(X1,zero,X2),X3) = if_reach_2(true,X0,zero,edge(X1,zero,X2),X3),
inference(superposition,[],[f14,f1]) ).
fof(f182,plain,
! [X2,X0,X1] : if_reach_1(true,X0,X1,g,X2) = if_reach_2(eq(X1,sF0),X0,X1,g,X2),
inference(superposition,[],[f14,f40]) ).
fof(f183,plain,
! [X2,X0,X1] : if_reach_1(true,X0,X1,sF5,X2) = if_reach_2(eq(X1,sF1),X0,X1,sF5,X2),
inference(superposition,[],[f14,f33]) ).
fof(f184,plain,
! [X2,X0,X1] : if_reach_1(true,X0,X1,sF4,X2) = if_reach_2(eq(X1,sF2),X0,X1,sF4,X2),
inference(superposition,[],[f14,f31]) ).
fof(f189,plain,
! [X2,X3,X0,X1] : true = if_reach_1(true,X0,zero,edge(X1,zero,X2),X3),
inference(forward_demodulation,[],[f157,f16]) ).
fof(f205,plain,
! [X0] : edge(sF2,zero,X0) = union(sF3,X0),
inference(superposition,[],[f66,f29]) ).
fof(f208,plain,
sF3 = union(sF3,empty),
inference(backward_demodulation,[],[f29,f205]) ).
fof(f209,plain,
! [X0,X1] : edge(X0,X1,sF3) = union(edge(X0,X1,sF3),empty),
inference(superposition,[],[f10,f208]) ).
fof(f210,plain,
! [X2,X3,X0,X1] : if_reach_2(false,X0,X1,edge(X2,X3,sF3),empty) = or(reach(X0,X1,sF3,empty),reach(X3,X1,sF3,empty)),
inference(superposition,[],[f17,f208]) ).
fof(f215,plain,
sF4 = union(sF4,empty),
inference(superposition,[],[f209,f31]) ).
fof(f218,plain,
! [X0,X1] : edge(X0,X1,sF4) = union(edge(X0,X1,sF4),empty),
inference(superposition,[],[f10,f215]) ).
fof(f224,plain,
! [X0,X1] : reach(zero,X0,g,X1) = if_reach_1(true,zero,X0,g,X1),
inference(superposition,[],[f74,f1]) ).
fof(f230,plain,
! [X2,X0,X1] : true = if_reach_1(true,X1,zero,union(sF3,X0),X2),
inference(superposition,[],[f189,f205]) ).
fof(f251,plain,
! [X0,X1] : reach(zero,X0,sF3,X1) = if_reach_1(false,zero,X0,sF3,X1),
inference(superposition,[],[f77,f43]) ).
fof(f253,plain,
! [X0,X1] : reach(sF0,X0,sF3,X1) = if_reach_1(false,sF0,X0,sF3,X1),
inference(superposition,[],[f77,f89]) ).
fof(f254,plain,
! [X0,X1] : reach(sF1,X0,sF3,X1) = if_reach_1(false,sF1,X0,sF3,X1),
inference(superposition,[],[f77,f92]) ).
fof(f255,plain,
! [X0,X1] : reach(sF2,X0,sF3,X1) = if_reach_1(true,sF2,X0,sF3,X1),
inference(superposition,[],[f77,f99]) ).
fof(f256,plain,
! [X0,X1] : false = reach(sF1,X0,sF3,X1),
inference(forward_demodulation,[],[f254,f59]) ).
fof(f257,plain,
! [X0,X1] : false = reach(sF0,X0,sF3,X1),
inference(forward_demodulation,[],[f253,f59]) ).
fof(f258,plain,
! [X0,X1] : false = reach(zero,X0,sF3,X1),
inference(forward_demodulation,[],[f251,f59]) ).
fof(f265,plain,
! [X0,X1] : reach(zero,X0,sF5,X1) = if_reach_1(false,zero,X0,sF5,X1),
inference(superposition,[],[f75,f41]) ).
fof(f267,plain,
! [X0,X1] : reach(sF0,X0,sF5,X1) = if_reach_1(true,sF0,X0,sF5,X1),
inference(superposition,[],[f75,f91]) ).
fof(f270,plain,
! [X0,X1] : reach(zero,X0,sF4,X1) = if_reach_1(false,zero,X0,sF4,X1),
inference(superposition,[],[f76,f42]) ).
fof(f272,plain,
! [X0,X1] : reach(sF0,X0,sF4,X1) = if_reach_1(false,sF0,X0,sF4,X1),
inference(superposition,[],[f76,f90]) ).
fof(f273,plain,
! [X0,X1] : reach(sF1,X0,sF4,X1) = if_reach_1(true,sF1,X0,sF4,X1),
inference(superposition,[],[f76,f93]) ).
fof(f281,plain,
! [X0,X1] : false = if_reach_1(false,zero,X0,sF4,X1),
inference(superposition,[],[f258,f57]) ).
fof(f282,plain,
! [X0,X1] : false = if_reach_1(false,sF0,X0,sF4,X1),
inference(superposition,[],[f257,f57]) ).
fof(f284,plain,
! [X0,X1] : false = reach(sF0,X0,sF4,X1),
inference(backward_demodulation,[],[f272,f282]) ).
fof(f285,plain,
! [X0,X1] : false = reach(zero,X0,sF4,X1),
inference(backward_demodulation,[],[f270,f281]) ).
fof(f286,plain,
! [X2,X3,X0,X1] : if_reach_2(false,zero,X0,edge(X1,X2,sF4),X3) = or(false,reach(X2,X0,union(sF4,X3),empty)),
inference(superposition,[],[f17,f285]) ).
fof(f287,plain,
! [X2,X3,X0,X1] : if_reach_2(false,zero,X0,edge(X1,X2,sF4),X3) = reach(X2,X0,union(sF4,X3),empty),
inference(forward_demodulation,[],[f286,f8]) ).
fof(f295,plain,
! [X0,X1] : false = if_reach_1(false,zero,X0,sF5,X1),
inference(superposition,[],[f285,f56]) ).
fof(f297,plain,
! [X0,X1] : false = reach(zero,X0,sF5,X1),
inference(backward_demodulation,[],[f265,f295]) ).
fof(f300,plain,
! [X2,X3,X0,X1] : if_reach_2(false,zero,X0,edge(X1,X2,sF5),X3) = or(false,reach(X2,X0,union(sF5,X3),empty)),
inference(superposition,[],[f17,f297]) ).
fof(f301,plain,
! [X2,X3,X0,X1] : if_reach_2(false,zero,X0,edge(X1,X2,sF5),X3) = reach(X2,X0,union(sF5,X3),empty),
inference(forward_demodulation,[],[f300,f8]) ).
fof(f302,plain,
! [X0,X1] : if_reach_1(true,X0,zero,g,X1) = if_reach_2(false,X0,zero,g,X1),
inference(superposition,[],[f182,f41]) ).
fof(f440,plain,
! [X0,X1] : if_reach_1(true,X0,zero,sF4,X1) = if_reach_2(false,X0,zero,sF4,X1),
inference(superposition,[],[f184,f43]) ).
fof(f446,plain,
! [X0,X1] : if_reach_1(true,X0,zero,sF5,X1) = if_reach_2(false,X0,zero,sF5,X1),
inference(superposition,[],[f183,f42]) ).
fof(f483,plain,
! [X2,X3,X0,X1] : if_reach_2(false,X0,X1,edge(X2,sF0,sF5),X3) = if_reach_2(false,X0,X1,g,X3),
inference(superposition,[],[f45,f40]) ).
fof(f484,plain,
! [X2,X3,X0,X1] : if_reach_2(false,X0,X1,edge(X2,sF1,sF4),X3) = if_reach_2(false,X0,X1,sF5,X3),
inference(superposition,[],[f45,f33]) ).
fof(f485,plain,
! [X2,X3,X0,X1] : if_reach_2(false,X0,X1,edge(X2,sF2,sF3),X3) = if_reach_2(false,X0,X1,sF4,X3),
inference(superposition,[],[f45,f31]) ).
fof(f659,plain,
sF5 = union(sF5,empty),
inference(superposition,[],[f218,f33]) ).
fof(f1286,plain,
! [X0,X1] : or(reach(X0,X1,sF3,empty),reach(sF2,X1,sF3,empty)) = if_reach_2(false,X0,X1,sF4,empty),
inference(superposition,[],[f210,f485]) ).
fof(f1366,plain,
! [X2,X0,X1] : or(reach(X0,X1,sF4,X2),reach(sF1,X1,union(sF4,X2),empty)) = if_reach_2(false,X0,X1,sF5,X2),
inference(superposition,[],[f17,f484]) ).
fof(f1508,plain,
! [X0,X1] : true = if_reach_1(true,X0,zero,sF3,X1),
inference(superposition,[],[f230,f208]) ).
fof(f1511,plain,
! [X0] : true = reach(sF2,zero,sF3,X0),
inference(superposition,[],[f255,f1508]) ).
fof(f1709,plain,
! [X0] : or(false,reach(sF2,X0,sF3,empty)) = if_reach_2(false,sF1,X0,sF4,empty),
inference(superposition,[],[f1286,f256]) ).
fof(f1732,plain,
! [X0] : reach(sF2,X0,sF3,empty) = if_reach_2(false,sF1,X0,sF4,empty),
inference(forward_demodulation,[],[f1709,f8]) ).
fof(f1959,plain,
reach(sF2,zero,sF3,empty) = if_reach_1(true,sF1,zero,sF4,empty),
inference(superposition,[],[f1732,f440]) ).
fof(f1960,plain,
reach(sF2,zero,sF3,empty) = reach(sF1,zero,sF4,empty),
inference(forward_demodulation,[],[f1959,f273]) ).
fof(f1968,plain,
true = reach(sF1,zero,sF4,empty),
inference(forward_demodulation,[],[f1960,f1511]) ).
fof(f2181,plain,
! [X0,X1] : reach(sF1,X0,union(sF4,X1),empty) = if_reach_2(false,zero,X0,sF5,X1),
inference(superposition,[],[f484,f287]) ).
fof(f2189,plain,
! [X2,X0,X1] : if_reach_2(false,X0,X1,sF5,X2) = or(reach(X0,X1,sF4,X2),if_reach_2(false,zero,X1,sF5,X2)),
inference(backward_demodulation,[],[f1366,f2181]) ).
fof(f2191,plain,
! [X0] : if_reach_2(false,zero,X0,sF5,empty) = reach(sF1,X0,sF4,empty),
inference(superposition,[],[f2181,f215]) ).
fof(f2204,plain,
! [X0,X1] : or(false,if_reach_2(false,zero,X0,sF5,X1)) = if_reach_2(false,sF0,X0,sF5,X1),
inference(superposition,[],[f2189,f284]) ).
fof(f2260,plain,
! [X0,X1] : if_reach_2(false,zero,X0,sF5,X1) = if_reach_2(false,sF0,X0,sF5,X1),
inference(forward_demodulation,[],[f2204,f8]) ).
fof(f2316,plain,
! [X0] : if_reach_2(false,zero,zero,sF5,X0) = if_reach_1(true,sF0,zero,sF5,X0),
inference(superposition,[],[f446,f2260]) ).
fof(f2319,plain,
! [X0] : if_reach_2(false,zero,zero,sF5,X0) = reach(sF0,zero,sF5,X0),
inference(forward_demodulation,[],[f2316,f267]) ).
fof(f2323,plain,
! [X0] : if_reach_1(true,zero,zero,sF5,X0) = reach(sF0,zero,sF5,X0),
inference(forward_demodulation,[],[f2319,f446]) ).
fof(f2339,plain,
reach(sF1,zero,sF4,empty) = if_reach_1(true,zero,zero,sF5,empty),
inference(superposition,[],[f446,f2191]) ).
fof(f2342,plain,
reach(sF1,zero,sF4,empty) = reach(sF0,zero,sF5,empty),
inference(forward_demodulation,[],[f2339,f2323]) ).
fof(f2346,plain,
true = reach(sF0,zero,sF5,empty),
inference(forward_demodulation,[],[f2342,f1968]) ).
fof(f3213,plain,
! [X0,X1] : reach(sF0,X0,union(sF5,X1),empty) = if_reach_2(false,zero,X0,g,X1),
inference(superposition,[],[f483,f301]) ).
fof(f3262,plain,
! [X0] : if_reach_2(false,zero,X0,g,empty) = reach(sF0,X0,sF5,empty),
inference(superposition,[],[f3213,f659]) ).
fof(f3480,plain,
reach(sF0,zero,sF5,empty) = if_reach_1(true,zero,zero,g,empty),
inference(superposition,[],[f302,f3262]) ).
fof(f3485,plain,
reach(zero,zero,g,empty) = reach(sF0,zero,sF5,empty),
inference(forward_demodulation,[],[f3480,f224]) ).
fof(f3493,plain,
true = reach(zero,zero,g,empty),
inference(forward_demodulation,[],[f3485,f2346]) ).
fof(f3497,plain,
true = sF7,
inference(backward_demodulation,[],[f38,f3493]) ).
fof(f3498,plain,
$false,
inference(forward_subsumption_resolution,[],[f3497,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ164-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n026.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:49:42 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 74.51/11.32 % (3288376)Detected a unit-equality problem, will run specialized UEQ schedule.
% 74.51/11.32 % (3288384)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2986961875:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 74.51/11.32 % (3288384)Instruction limit reached!
% 74.51/11.32 % (3288384)------------------------------
% 74.51/11.32 % (3288384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.51/11.32 % (3288384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.51/11.32 % (3288384)CaDiCaL version: 2.1.3
% 74.51/11.32 % (3288384)Termination reason: Instruction limit
% 74.51/11.32 % (3288384)Termination phase: Saturation
% 74.51/11.32 % (3288384)Time elapsed: 0.048 s
% 74.51/11.32 % (3288384)Peak memory usage: 89 MB
% 74.51/11.32 % (3288384)Instructions burned: 138 (million)
% 74.51/11.32 % (3288387)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3055973441:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 74.51/11.32 % (3288383)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3334760195:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 74.51/11.32 % (3288381)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=3682500476:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 74.51/11.32 % (3288382)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=3667333210:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 74.51/11.32 % (3288386)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1139539102:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 74.51/11.32 % (3288385)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3966159753:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 74.51/11.32 % (3288395)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4237076501:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 74.51/11.32 % (3288385)Instruction limit reached!
% 74.51/11.32 % (3288385)------------------------------
% 74.51/11.32 % (3288385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.51/11.32 % (3288385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.51/11.32 % (3288385)CaDiCaL version: 2.1.3
% 74.51/11.32 % (3288385)Termination reason: Instruction limit
% 74.51/11.32 % (3288385)Termination phase: Saturation
% 74.51/11.32 % (3288385)Time elapsed: 0.108 s
% 74.51/11.32 % (3288385)Peak memory usage: 89 MB
% 74.51/11.32 % (3288385)Instructions burned: 181 (million)
% 74.51/11.32 % (3288386)Instruction limit reached!
% 74.51/11.32 % (3288386)------------------------------
% 74.51/11.32 % (3288386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.51/11.32 % (3288386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.51/11.32 % (3288386)CaDiCaL version: 2.1.3
% 74.51/11.32 % (3288386)Termination reason: Instruction limit
% 74.51/11.32 % (3288386)Termination phase: Saturation
% 74.51/11.32 % (3288386)Time elapsed: 0.165 s
% 74.51/11.32 % (3288386)Peak memory usage: 90 MB
% 74.51/11.32 % (3288386)Instructions burned: 258 (million)
% 74.51/11.32 % (3288397)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1546110069:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 74.51/11.32 % (3288398)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=715994692:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 74.51/11.32 % (3288398)Instruction limit reached!
% 74.51/11.32 % (3288398)------------------------------
% 74.51/11.32 % (3288398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.51/11.32 % (3288398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.51/11.32 % (3288398)CaDiCaL version: 2.1.3
% 74.51/11.32 % (3288398)Termination reason: Instruction limit
% 74.51/11.32 % (3288398)Termination phase: Saturation
% 74.51/11.32 % (3288398)Time elapsed: 0.112 s
% 57.34/17.32 % (3288398)Peak memory usage: 89 MB
% 57.34/17.32 % (3288398)Instructions burned: 216 (million)
% 57.34/17.32 % (3288401)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=1020675034:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 57.34/17.32 % (3288387)Instruction limit reached!
% 57.34/17.32 % (3288387)------------------------------
% 57.34/17.32 % (3288387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288387)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288387)Termination reason: Instruction limit
% 57.34/17.32 % (3288387)Termination phase: Saturation
% 57.34/17.32 % (3288387)Time elapsed: 0.670 s
% 57.34/17.32 % (3288387)Peak memory usage: 96 MB
% 57.34/17.32 % (3288387)Instructions burned: 1189 (million)
% 57.34/17.32 % (3288401)Instruction limit reached!
% 57.34/17.32 % (3288401)------------------------------
% 57.34/17.32 % (3288401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288401)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288401)Termination reason: Instruction limit
% 57.34/17.32 % (3288401)Termination phase: Saturation
% 57.34/17.32 % (3288401)Time elapsed: 0.146 s
% 57.34/17.32 % (3288401)Peak memory usage: 89 MB
% 57.34/17.32 % (3288401)Instructions burned: 319 (million)
% 57.34/17.32 % (3288403)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=2584320182:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 57.34/17.32 % (3288404)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1436570340:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 57.34/17.32 % (3288395)Instruction limit reached!
% 57.34/17.32 % (3288395)------------------------------
% 57.34/17.32 % (3288395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288395)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288395)Termination reason: Instruction limit
% 57.34/17.32 % (3288395)Termination phase: Saturation
% 57.34/17.32 % (3288395)Time elapsed: 0.748 s
% 57.34/17.32 % (3288395)Peak memory usage: 140 MB
% 57.34/17.32 % (3288395)Instructions burned: 2053 (million)
% 57.34/17.32 % (3288407)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=98984713:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 57.34/17.32 % (3288404)Instruction limit reached!
% 57.34/17.32 % (3288404)------------------------------
% 57.34/17.32 % (3288404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288404)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288404)Termination reason: Instruction limit
% 57.34/17.32 % (3288404)Termination phase: Saturation
% 57.34/17.32 % (3288404)Time elapsed: 1.774 s
% 57.34/17.32 % (3288404)Peak memory usage: 120 MB
% 57.34/17.32 % (3288404)Instructions burned: 2837 (million)
% 57.34/17.32 % (3288494)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=679825336:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2972 on theBenchmark for (2972ds/11832Mi)
% 57.34/17.32 % (3288397)Instruction limit reached!
% 57.34/17.32 % (3288397)------------------------------
% 57.34/17.32 % (3288397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288397)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288397)Termination reason: Instruction limit
% 57.34/17.32 % (3288397)Termination phase: Saturation
% 57.34/17.32 % (3288397)Time elapsed: 2.918 s
% 57.34/17.32 % (3288397)Peak memory usage: 151 MB
% 57.34/17.32 % (3288397)Instructions burned: 4948 (million)
% 57.34/17.32 % (3288496)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=63001589:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 57.34/17.32 % (3288496)Instruction limit reached!
% 57.34/17.32 % (3288496)------------------------------
% 57.34/17.32 % (3288496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288496)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288496)Termination reason: Instruction limit
% 57.34/17.32 % (3288496)Termination phase: Saturation
% 57.34/17.32 % (3288496)Time elapsed: 1.418 s
% 57.34/17.32 % (3288496)Peak memory usage: 139 MB
% 57.34/17.32 % (3288496)Instructions burned: 2280 (million)
% 57.34/17.32 % (3288498)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=411495758:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 57.34/17.32 % (3288407)Instruction limit reached!
% 57.34/17.32 % (3288407)------------------------------
% 57.34/17.32 % (3288407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288407)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288407)Termination reason: Instruction limit
% 57.34/17.32 % (3288407)Termination phase: Saturation
% 57.34/17.32 % (3288407)Time elapsed: 4.788 s
% 57.34/17.32 % (3288407)Peak memory usage: 212 MB
% 57.34/17.32 % (3288407)Instructions burned: 14534 (million)
% 57.34/17.32 % (3288500)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=2266057245:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2941 on theBenchmark for (2941ds/21755Mi)
% 57.34/17.32 % (3288403)Instruction limit reached!
% 57.34/17.32 % (3288403)------------------------------
% 57.34/17.32 % (3288403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288403)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288403)Termination reason: Instruction limit
% 57.34/17.32 % (3288403)Termination phase: Saturation
% 57.34/17.32 % (3288403)Time elapsed: 6.462 s
% 57.34/17.32 % (3288403)Peak memory usage: 189 MB
% 57.34/17.32 % (3288403)Instructions burned: 12127 (million)
% 57.34/17.32 % (3288502)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2735255327:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2925 on theBenchmark for (2925ds/16427Mi)
% 57.34/17.32 % (3288498)Instruction limit reached!
% 57.34/17.32 % (3288498)------------------------------
% 57.34/17.32 % (3288498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288498)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288498)Termination reason: Instruction limit
% 57.34/17.32 % (3288498)Termination phase: Saturation
% 57.34/17.32 % (3288498)Time elapsed: 3.664 s
% 57.34/17.32 % (3288498)Peak memory usage: 172 MB
% 57.34/17.32 % (3288498)Instructions burned: 6225 (million)
% 57.34/17.32 % (3288504)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=49743754:i=9356:fgj=on:bd=preordered:av=off_2913 on theBenchmark for (2913ds/9356Mi)
% 57.34/17.32 % (3288494)Instruction limit reached!
% 57.34/17.32 % (3288494)------------------------------
% 57.34/17.32 % (3288494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288494)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288494)Termination reason: Instruction limit
% 57.34/17.32 % (3288494)Termination phase: Saturation
% 57.34/17.32 % (3288494)Time elapsed: 6.129 s
% 57.34/17.32 % (3288494)Peak memory usage: 185 MB
% 57.34/17.32 % (3288494)Instructions burned: 11833 (million)
% 57.34/17.32 % (3288506)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=2950881378:i=2070:kws=inv_precedence:slsql=off:bd=all_2909 on theBenchmark for (2909ds/2070Mi)
% 57.34/17.32 % (3288506)Instruction limit reached!
% 57.34/17.32 % (3288506)------------------------------
% 57.34/17.32 % (3288506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288506)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288506)Termination reason: Instruction limit
% 57.34/17.32 % (3288506)Termination phase: Saturation
% 57.34/17.32 % (3288506)Time elapsed: 1.297 s
% 57.34/17.32 % (3288506)Peak memory usage: 112 MB
% 57.34/17.32 % (3288506)Instructions burned: 2070 (million)
% 57.34/17.32 % (3288508)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=1758128370:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2895 on theBenchmark for (2895ds/6461Mi)
% 57.34/17.32 % (3288500)Instruction limit reached!
% 57.34/17.32 % (3288500)------------------------------
% 57.34/17.32 % (3288500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288500)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288500)Termination reason: Instruction limit
% 57.34/17.32 % (3288500)Termination phase: Saturation
% 57.34/17.32 % (3288500)Time elapsed: 7.139 s
% 57.34/17.32 % (3288500)Peak memory usage: 255 MB
% 57.34/17.32 % (3288500)Instructions burned: 21755 (million)
% 57.34/17.32 % (3288632)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=333467933:i=2310:bd=all:ss=included_2868 on theBenchmark for (2868ds/2310Mi)
% 57.34/17.32 % (3288632)Instruction limit reached!
% 57.34/17.32 % (3288632)------------------------------
% 57.34/17.32 % (3288632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288632)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288632)Termination reason: Instruction limit
% 57.34/17.32 % (3288632)Termination phase: Saturation
% 57.34/17.32 % (3288632)Time elapsed: 0.780 s
% 57.34/17.32 % (3288632)Peak memory usage: 106 MB
% 57.34/17.32 % (3288632)Instructions burned: 2310 (million)
% 57.34/17.32 % (3288504)Instruction limit reached!
% 57.34/17.32 % (3288504)------------------------------
% 57.34/17.32 % (3288504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288504)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288504)Termination reason: Instruction limit
% 57.34/17.32 % (3288504)Termination phase: Saturation
% 57.34/17.32 % (3288504)Time elapsed: 5.348 s
% 57.34/17.32 % (3288504)Peak memory usage: 177 MB
% 57.34/17.32 % (3288504)Instructions burned: 9357 (million)
% 57.34/17.32 % (3288763)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=1023469965:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2860 on theBenchmark for (2860ds/2616Mi)
% 57.34/17.32 % (3288778)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=827827032:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2858 on theBenchmark for (2858ds/30521Mi)
% 57.34/17.32 % (3288763)Instruction limit reached!
% 57.34/17.32 % (3288763)------------------------------
% 57.34/17.32 % (3288763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288763)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288763)Termination reason: Instruction limit
% 57.34/17.32 % (3288763)Termination phase: Saturation
% 57.34/17.32 % (3288763)Time elapsed: 1.202 s
% 57.34/17.32 % (3288763)Peak memory usage: 107 MB
% 57.34/17.32 % (3288763)Instructions burned: 2617 (million)
% 57.34/17.32 % (3288810)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=2356010251:i=3258:fgj=on:bd=all:ins=1_2846 on theBenchmark for (2846ds/3258Mi)
% 57.34/17.32 % (3288508)Instruction limit reached!
% 57.34/17.32 % (3288508)------------------------------
% 57.34/17.32 % (3288508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.34/17.32 % (3288508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.34/17.32 % (3288508)CaDiCaL version: 2.1.3
% 57.34/17.32 % (3288508)Termination reason: Instruction limit
% 57.34/17.32 % (3288508)Termination phase: Saturation
% 57.34/17.32 % (3288508)Time elapsed: 5.051 s
% 57.34/17.32 % (3288508)Peak memory usage: 730 MB
% 57.34/17.32 % (3288508)Instructions burned: 6463 (million)
% 57.34/17.32 % (3288778)First to succeed.
% 57.34/17.32 % (3288778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3288376"
% 57.34/17.32 % (3288812)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=3402981575:i=5037:kws=precedence_2842 on theBenchmark for (2842ds/5037Mi)
% 57.34/17.32 % (3288778)Refutation found. Thanks to Tanya!
% 57.34/17.32 % SZS status Unsatisfiable for theBenchmark
% 57.34/17.32 % SZS output start Proof for theBenchmark
% See solution above
% 117.23/17.57 % (3288778)------------------------------
% 117.23/17.57 % (3288778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.23/17.57 % (3288778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.23/17.57 % (3288778)CaDiCaL version: 2.1.3
% 117.23/17.57 % (3288778)Termination reason: Refutation
% 117.23/17.57 % (3288778)Time elapsed: 1.591 s
% 117.23/17.57 % (3288778)Peak memory usage: 136 MB
% 117.23/17.57 % (3288778)Instructions burned: 1872 (million)
% 117.23/17.57 % (3288778)------------------------------
% 117.23/17.57 % (3288778)------------------------------
% 117.23/17.57 % (3288376)Success in time 16.457 s
% 117.23/17.57 % Vampire exiting
%------------------------------------------------------------------------------