%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:17:36 PM UTC 2026
% Result : Unsatisfiable 2.89s 0.67s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 41
% Syntax : Number of formulae : 164 ( 164 unt; 26 def)
% Number of atoms : 164 ( 163 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 11 con; 0-4 aty)
% Number of variables : 221 ( 221 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,negated_conjecture,
! [X0] : p2(X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f4,negated_conjecture,
! [X0] : p6(X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
fof(f5,plain,
! [X0] : true = p6(X0,X0),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,plain,
true = p2(f4(c7),f4(c8)),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
! [X0,X1] : ifeq2(p5(X0,X1),true,p6(X0,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_6) ).
fof(f9,plain,
! [X0,X1] : true = ifeq2(p5(X0,X1),true,p6(X0,X1),true),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
! [X0] : p5(f3(f3(X0)),f3(f4(X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_7) ).
fof(f11,plain,
! [X0] : true = p5(f3(f3(X0)),f3(f4(X0))),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
! [X0,X1] : ifeq2(p6(f4(X0),X1),true,p5(X0,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_8) ).
fof(f13,plain,
! [X0,X1] : true = ifeq2(p6(f4(X0),X1),true,p5(X0,X1),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
! [X0] : ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).
fof(f15,plain,
! [X0] : true = ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
! [X0,X1] : ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_10) ).
fof(f17,plain,
! [X0,X1] : true = ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
! [X0,X1] : ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
fof(f19,plain,
! [X0,X1] : true = ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true),
inference(reorient_equations,[],[f18]) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] : ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_15) ).
fof(f27,plain,
! [X2,X0,X1] : true = ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] : ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_16) ).
fof(f29,plain,
! [X2,X3,X0,X1] : true = ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true),
inference(reorient_equations,[],[f28]) ).
fof(f34,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_5) ).
fof(f35,plain,
b = ifeq(p6(f4(c7),f3(f4(c8))),true,a,b),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f37,definition,
! [X0] : sF0(X0) = p2(X0,X0),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f38,plain,
! [X0] : p2(X0,X0) = sF0(X0),
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
! [X0] : true = sF0(X0),
inference(definition_folding,[],[f3,f38]) ).
fof(f40,definition,
! [X0] : sF1(X0) = p6(X0,X0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f41,plain,
! [X0] : p6(X0,X0) = sF1(X0),
inference(reorient_equations,[],[f40]) ).
fof(f42,plain,
! [X0] : true = sF1(X0),
inference(definition_folding,[],[f5,f41]) ).
fof(f43,definition,
sF2 = f4(c7),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f44,plain,
f4(c7) = sF2,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF3 = f4(c8),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f46,plain,
f4(c8) = sF3,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF4 = p2(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f48,plain,
p2(sF2,sF3) = sF4,
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
true = sF4,
inference(definition_folding,[],[f7,f48,f46,f44]) ).
fof(f50,definition,
! [X0,X1] : sF5(X0,X1) = ifeq2(p5(X0,X1),true,p6(X0,X1),true),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f51,plain,
! [X0,X1] : ifeq2(p5(X0,X1),true,p6(X0,X1),true) = sF5(X0,X1),
inference(reorient_equations,[],[f50]) ).
fof(f52,plain,
! [X0,X1] : true = sF5(X0,X1),
inference(definition_folding,[],[f9,f51]) ).
fof(f53,definition,
! [X0] : sF6(X0) = f3(f3(X0)),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f54,plain,
! [X0] : f3(f3(X0)) = sF6(X0),
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
! [X0] : sF7(X0) = f3(f4(X0)),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f56,plain,
! [X0] : f3(f4(X0)) = sF7(X0),
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
! [X0] : sF8(X0) = p5(sF6(X0),sF7(X0)),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f58,plain,
! [X0] : p5(sF6(X0),sF7(X0)) = sF8(X0),
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
! [X0] : true = sF8(X0),
inference(definition_folding,[],[f11,f58,f56,f54]) ).
fof(f60,definition,
! [X0,X1] : sF9(X0,X1) = p6(f4(X0),X1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f61,plain,
! [X0,X1] : p6(f4(X0),X1) = sF9(X0,X1),
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
! [X0,X1] : sF10(X0,X1) = ifeq2(sF9(X0,X1),true,p5(X0,X1),true),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f63,plain,
! [X0,X1] : ifeq2(sF9(X0,X1),true,p5(X0,X1),true) = sF10(X0,X1),
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
! [X0,X1] : true = sF10(X0,X1),
inference(definition_folding,[],[f13,f63,f61]) ).
fof(f65,definition,
! [X0] : sF11(X0) = p6(c7,X0),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f66,plain,
! [X0] : p6(c7,X0) = sF11(X0),
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
! [X0] : sF12(X0) = p6(c7,f3(X0)),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f68,plain,
! [X0] : p6(c7,f3(X0)) = sF12(X0),
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
! [X0] : sF13(X0) = ifeq2(sF11(X0),true,sF12(X0),true),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f70,plain,
! [X0] : ifeq2(sF11(X0),true,sF12(X0),true) = sF13(X0),
inference(reorient_equations,[],[f69]) ).
fof(f71,plain,
! [X0] : true = sF13(X0),
inference(definition_folding,[],[f15,f70,f68,f66]) ).
fof(f72,definition,
! [X0,X1] : sF14(X0,X1) = ifeq2(p5(X0,X1),true,sF9(X0,X1),true),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f73,plain,
! [X0,X1] : ifeq2(p5(X0,X1),true,sF9(X0,X1),true) = sF14(X0,X1),
inference(reorient_equations,[],[f72]) ).
fof(f74,plain,
! [X0,X1] : true = sF14(X0,X1),
inference(definition_folding,[],[f17,f73,f61]) ).
fof(f75,definition,
! [X0,X1] : sF15(X0,X1) = p2(f3(X0),f3(X1)),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f76,plain,
! [X0,X1] : p2(f3(X0),f3(X1)) = sF15(X0,X1),
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
! [X0,X1] : sF16(X0,X1) = ifeq2(p2(X0,X1),true,sF15(X0,X1),true),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f78,plain,
! [X0,X1] : ifeq2(p2(X0,X1),true,sF15(X0,X1),true) = sF16(X0,X1),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X0,X1] : true = sF16(X0,X1),
inference(definition_folding,[],[f19,f78,f76]) ).
fof(f90,definition,
! [X2,X0,X1] : sF21(X2,X0,X1) = ifeq2(p6(X2,X0),true,p6(X2,X1),true),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f91,plain,
! [X2,X0,X1] : ifeq2(p6(X2,X0),true,p6(X2,X1),true) = sF21(X2,X0,X1),
inference(reorient_equations,[],[f90]) ).
fof(f95,definition,
! [X2,X0,X1] : sF23(X1,X2,X0) = ifeq2(p5(X1,X2),true,p5(X0,X2),true),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f96,plain,
! [X2,X0,X1] : ifeq2(p5(X1,X2),true,p5(X0,X2),true) = sF23(X1,X2,X0),
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
! [X2,X0,X1] : sF24(X0,X1,X2) = ifeq2(p6(X0,X1),true,sF23(X1,X2,X0),true),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f98,plain,
! [X2,X0,X1] : ifeq2(p6(X0,X1),true,sF23(X1,X2,X0),true) = sF24(X0,X1,X2),
inference(reorient_equations,[],[f97]) ).
fof(f99,plain,
! [X2,X0,X1] : true = sF24(X0,X1,X2),
inference(definition_folding,[],[f27,f98,f96]) ).
fof(f100,definition,
! [X2,X3,X0,X1] : sF25(X2,X0,X3,X1) = ifeq2(p6(X2,X0),true,p6(X3,X1),true),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f101,plain,
! [X2,X3,X0,X1] : ifeq2(p6(X2,X0),true,p6(X3,X1),true) = sF25(X2,X0,X3,X1),
inference(reorient_equations,[],[f100]) ).
fof(f102,definition,
! [X2,X3,X0,X1] : sF26(X2,X3,X0,X1) = ifeq2(p2(X2,X3),true,sF25(X2,X0,X3,X1),true),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f103,plain,
! [X2,X3,X0,X1] : ifeq2(p2(X2,X3),true,sF25(X2,X0,X3,X1),true) = sF26(X2,X3,X0,X1),
inference(reorient_equations,[],[f102]) ).
fof(f104,definition,
! [X2,X3,X0,X1] : sF27(X0,X1,X2,X3) = ifeq2(p2(X0,X1),true,sF26(X2,X3,X0,X1),true),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f105,plain,
! [X2,X3,X0,X1] : ifeq2(p2(X0,X1),true,sF26(X2,X3,X0,X1),true) = sF27(X0,X1,X2,X3),
inference(reorient_equations,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1] : true = sF27(X0,X1,X2,X3),
inference(definition_folding,[],[f29,f105,f103,f101]) ).
fof(f119,definition,
sF33 = f3(sF3),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f120,plain,
f3(sF3) = sF33,
inference(reorient_equations,[],[f119]) ).
fof(f121,definition,
sF34 = p6(sF2,sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f122,plain,
p6(sF2,sF33) = sF34,
inference(reorient_equations,[],[f121]) ).
fof(f123,definition,
sF35 = ifeq(sF34,true,a,b),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f124,plain,
ifeq(sF34,true,a,b) = sF35,
inference(reorient_equations,[],[f123]) ).
fof(f125,plain,
b = sF35,
inference(definition_folding,[],[f35,f124,f122,f120,f46,f44]) ).
fof(f126,plain,
! [X0] : p2(X0,X0) = true,
inference(forward_demodulation,[],[f38,f39]) ).
fof(f127,plain,
! [X0] : true = p6(X0,X0),
inference(forward_demodulation,[],[f41,f42]) ).
fof(f128,plain,
true = p2(sF2,sF3),
inference(forward_demodulation,[],[f48,f49]) ).
fof(f129,plain,
! [X0,X1] : true = ifeq2(p5(X0,X1),true,p6(X0,X1),true),
inference(forward_demodulation,[],[f51,f52]) ).
fof(f130,plain,
! [X0] : true = p5(sF6(X0),sF7(X0)),
inference(forward_demodulation,[],[f58,f59]) ).
fof(f131,plain,
! [X0,X1] : true = ifeq2(sF9(X0,X1),true,p5(X0,X1),true),
inference(forward_demodulation,[],[f63,f64]) ).
fof(f132,plain,
! [X0] : sF12(X0) = sF11(f3(X0)),
inference(forward_demodulation,[],[f68,f66]) ).
fof(f133,plain,
! [X0] : true = ifeq2(sF11(X0),true,sF12(X0),true),
inference(forward_demodulation,[],[f70,f71]) ).
fof(f134,plain,
! [X0,X1] : true = ifeq2(p5(X0,X1),true,sF9(X0,X1),true),
inference(forward_demodulation,[],[f73,f74]) ).
fof(f135,plain,
! [X0,X1] : true = ifeq2(p2(X0,X1),true,sF15(X0,X1),true),
inference(forward_demodulation,[],[f78,f79]) ).
fof(f139,plain,
! [X2,X0,X1] : true = ifeq2(p6(X0,X1),true,sF23(X1,X2,X0),true),
inference(forward_demodulation,[],[f98,f99]) ).
fof(f140,plain,
! [X2,X3,X0,X1] : true = ifeq2(p2(X0,X1),true,sF26(X2,X3,X0,X1),true),
inference(forward_demodulation,[],[f105,f106]) ).
fof(f143,plain,
b = ifeq(sF34,true,a,b),
inference(forward_demodulation,[],[f124,f125]) ).
fof(f165,plain,
true = ifeq2(true,true,sF15(sF2,sF3),true),
inference(superposition,[],[f135,f128]) ).
fof(f167,plain,
true = sF15(sF2,sF3),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f176,plain,
b = ifeq(sF34,sF15(sF2,sF3),a,b),
inference(superposition,[],[f143,f167]) ).
fof(f322,plain,
sF7(c7) = f3(sF2),
inference(superposition,[],[f56,f44]) ).
fof(f331,plain,
true = sF11(c7),
inference(superposition,[],[f127,f66]) ).
fof(f332,plain,
! [X0,X1] : true = ifeq2(sF11(X0),true,sF23(X0,X1,c7),true),
inference(superposition,[],[f139,f66]) ).
fof(f337,plain,
! [X0,X1] : sF15(sF2,sF3) = ifeq2(sF11(X0),sF15(sF2,sF3),sF23(X0,X1,c7),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f332,f167]) ).
fof(f338,plain,
sF15(sF2,sF3) = sF11(c7),
inference(forward_demodulation,[],[f331,f167]) ).
fof(f340,plain,
true = ifeq2(sF15(sF2,sF3),true,sF12(c7),true),
inference(superposition,[],[f133,f338]) ).
fof(f341,plain,
sF15(sF2,sF3) = ifeq2(sF15(sF2,sF3),sF15(sF2,sF3),sF12(c7),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f340,f167]) ).
fof(f342,plain,
sF15(sF2,sF3) = sF12(c7),
inference(forward_demodulation,[],[f341,f1]) ).
fof(f344,plain,
! [X0] : sF12(f3(X0)) = sF11(sF6(X0)),
inference(superposition,[],[f132,f54]) ).
fof(f346,plain,
! [X0] : true = ifeq2(sF12(X0),true,sF12(f3(X0)),true),
inference(superposition,[],[f133,f132]) ).
fof(f347,plain,
! [X0] : sF15(sF2,sF3) = ifeq2(sF12(X0),sF15(sF2,sF3),sF12(f3(X0)),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f346,f167]) ).
fof(f348,plain,
! [X0] : sF15(sF2,sF3) = ifeq2(sF12(X0),sF15(sF2,sF3),sF11(sF6(X0)),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f347,f344]) ).
fof(f354,plain,
! [X0] : sF9(c7,X0) = p6(sF2,X0),
inference(superposition,[],[f61,f44]) ).
fof(f357,plain,
! [X0] : true = sF9(X0,f4(X0)),
inference(superposition,[],[f127,f61]) ).
fof(f364,plain,
! [X0] : sF15(sF2,sF3) = sF9(X0,f4(X0)),
inference(forward_demodulation,[],[f357,f167]) ).
fof(f366,plain,
sF15(sF2,sF3) = sF9(c7,sF2),
inference(superposition,[],[f364,f44]) ).
fof(f382,plain,
! [X2,X3,X0,X1] : true = ifeq2(sF15(X0,X1),true,sF26(X2,X3,f3(X0),f3(X1)),true),
inference(superposition,[],[f140,f76]) ).
fof(f389,plain,
! [X2,X3,X0,X1] : sF15(sF2,sF3) = ifeq2(sF15(X0,X1),sF15(sF2,sF3),sF26(X2,X3,f3(X0),f3(X1)),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f382,f167]) ).
fof(f392,plain,
true = ifeq2(sF15(sF2,sF3),true,p5(c7,sF2),true),
inference(superposition,[],[f131,f366]) ).
fof(f393,plain,
sF15(sF2,sF3) = ifeq2(sF15(sF2,sF3),sF15(sF2,sF3),p5(c7,sF2),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f392,f167]) ).
fof(f395,plain,
sF15(sF2,sF3) = p5(c7,sF2),
inference(forward_demodulation,[],[f393,f1]) ).
fof(f440,plain,
true = ifeq2(sF15(sF2,sF3),true,p6(c7,sF2),true),
inference(superposition,[],[f129,f395]) ).
fof(f441,plain,
sF15(sF2,sF3) = ifeq2(sF15(sF2,sF3),sF15(sF2,sF3),p6(c7,sF2),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f440,f167]) ).
fof(f444,plain,
sF15(sF2,sF3) = p6(c7,sF2),
inference(forward_demodulation,[],[f441,f1]) ).
fof(f447,plain,
sF15(sF2,sF3) = sF11(sF2),
inference(forward_demodulation,[],[f444,f66]) ).
fof(f458,plain,
! [X0] : sF21(sF2,X0,sF33) = ifeq2(p6(sF2,X0),true,sF34,true),
inference(superposition,[],[f91,f122]) ).
fof(f465,plain,
! [X0] : sF21(sF2,X0,sF33) = ifeq2(p6(sF2,X0),sF15(sF2,sF3),sF34,sF15(sF2,sF3)),
inference(forward_demodulation,[],[f458,f167]) ).
fof(f477,plain,
! [X0] : sF21(sF2,X0,sF33) = ifeq2(p6(sF2,X0),sF11(sF2),sF34,sF11(sF2)),
inference(forward_demodulation,[],[f465,f447]) ).
fof(f487,plain,
! [X0] : sF21(sF2,X0,sF33) = ifeq2(sF9(c7,X0),sF11(sF2),sF34,sF11(sF2)),
inference(forward_demodulation,[],[f477,f354]) ).
fof(f497,plain,
b = ifeq(sF34,sF11(sF2),a,b),
inference(superposition,[],[f176,f447]) ).
fof(f506,plain,
! [X0,X1] : sF23(sF6(X0),sF7(X0),X1) = ifeq2(true,true,p5(X1,sF7(X0)),true),
inference(superposition,[],[f96,f130]) ).
fof(f518,plain,
! [X0,X1] : p5(X1,sF7(X0)) = sF23(sF6(X0),sF7(X0),X1),
inference(forward_demodulation,[],[f506,f1]) ).
fof(f553,plain,
! [X2,X0,X1] : sF21(X0,X1,X2) = sF25(X0,X1,X0,X2),
inference(superposition,[],[f91,f101]) ).
fof(f683,plain,
! [X2,X0,X1] : sF26(X0,X0,X1,X2) = ifeq2(true,true,sF25(X0,X1,X0,X2),true),
inference(superposition,[],[f103,f126]) ).
fof(f698,plain,
! [X2,X0,X1] : sF25(X0,X1,X0,X2) = sF26(X0,X0,X1,X2),
inference(forward_demodulation,[],[f683,f1]) ).
fof(f704,plain,
! [X2,X0,X1] : sF21(X0,X1,X2) = sF26(X0,X0,X1,X2),
inference(forward_demodulation,[],[f698,f553]) ).
fof(f937,plain,
! [X0,X1] : true = ifeq2(sF23(sF6(X0),sF7(X0),X1),true,sF9(X1,sF7(X0)),true),
inference(superposition,[],[f134,f518]) ).
fof(f942,plain,
! [X0,X1] : sF15(sF2,sF3) = ifeq2(sF23(sF6(X0),sF7(X0),X1),sF15(sF2,sF3),sF9(X1,sF7(X0)),sF15(sF2,sF3)),
inference(forward_demodulation,[],[f937,f167]) ).
fof(f951,plain,
! [X0,X1] : sF11(sF2) = ifeq2(sF23(sF6(X0),sF7(X0),X1),sF11(sF2),sF9(X1,sF7(X0)),sF11(sF2)),
inference(forward_demodulation,[],[f942,f447]) ).
fof(f1310,plain,
sF15(sF2,sF3) = ifeq2(sF15(sF2,sF3),sF15(sF2,sF3),sF11(sF6(c7)),sF15(sF2,sF3)),
inference(superposition,[],[f348,f342]) ).
fof(f1317,plain,
sF15(sF2,sF3) = sF11(sF6(c7)),
inference(forward_demodulation,[],[f1310,f1]) ).
fof(f1321,plain,
sF11(sF2) = sF11(sF6(c7)),
inference(forward_demodulation,[],[f1317,f447]) ).
fof(f1510,plain,
! [X0] : sF15(sF2,sF3) = ifeq2(sF11(sF2),sF15(sF2,sF3),sF23(sF6(c7),X0,c7),sF15(sF2,sF3)),
inference(superposition,[],[f337,f1321]) ).
fof(f1518,plain,
! [X0] : sF11(sF2) = ifeq2(sF11(sF2),sF11(sF2),sF23(sF6(c7),X0,c7),sF11(sF2)),
inference(forward_demodulation,[],[f1510,f447]) ).
fof(f1525,plain,
! [X0] : sF11(sF2) = sF23(sF6(c7),X0,c7),
inference(forward_demodulation,[],[f1518,f1]) ).
fof(f2367,plain,
! [X0,X1] : sF15(sF2,sF3) = sF26(X0,X1,f3(sF2),f3(sF3)),
inference(superposition,[],[f1,f389]) ).
fof(f2368,plain,
! [X0,X1] : sF15(sF2,sF3) = sF26(X0,X1,f3(sF2),sF33),
inference(forward_demodulation,[],[f2367,f120]) ).
fof(f2388,plain,
! [X0,X1] : sF15(sF2,sF3) = sF26(X0,X1,sF7(c7),sF33),
inference(forward_demodulation,[],[f2368,f322]) ).
fof(f2398,plain,
! [X0,X1] : sF11(sF2) = sF26(X0,X1,sF7(c7),sF33),
inference(forward_demodulation,[],[f2388,f447]) ).
fof(f5199,plain,
! [X0] : sF11(sF2) = sF21(X0,sF7(c7),sF33),
inference(superposition,[],[f704,f2398]) ).
fof(f19640,plain,
sF11(sF2) = ifeq2(sF11(sF2),sF11(sF2),sF9(c7,sF7(c7)),sF11(sF2)),
inference(superposition,[],[f951,f1525]) ).
fof(f19666,plain,
sF11(sF2) = sF9(c7,sF7(c7)),
inference(forward_demodulation,[],[f19640,f1]) ).
fof(f19685,plain,
ifeq2(sF11(sF2),sF11(sF2),sF34,sF11(sF2)) = sF21(sF2,sF7(c7),sF33),
inference(superposition,[],[f487,f19666]) ).
fof(f19727,plain,
sF11(sF2) = ifeq2(sF11(sF2),sF11(sF2),sF34,sF11(sF2)),
inference(forward_demodulation,[],[f19685,f5199]) ).
fof(f19743,plain,
sF34 = sF11(sF2),
inference(forward_demodulation,[],[f19727,f1]) ).
fof(f19831,plain,
b = ifeq(sF34,sF34,a,b),
inference(superposition,[],[f497,f19743]) ).
fof(f19970,plain,
a = b,
inference(forward_demodulation,[],[f19831,f2]) ).
fof(f19985,plain,
$false,
inference(forward_subsumption_resolution,[],[f19970,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n006.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 16:29:10 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.89/0.67 % (4097910)Will run a generic schedule for satisfiability detection.
% 2.89/0.67 % (4097921)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2648498387:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.89/0.67 % (4097916)% WARNING: option uhcvi not known.
% 2.89/0.67 % (4097916)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=560037251:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.89/0.67 % (4097918)dis+10_1_sil=32000:sp=arity:random_seed=3010379136:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.89/0.67 % (4097919)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1710860418:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.89/0.67 % (4097917)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=307470017:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.89/0.67 % (4097920)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2816268275:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.89/0.67 % (4097915)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=821499814_2999 on theBenchmark for (2999ds/0Mi)
% 2.89/0.67 % TRYING [1]
% 2.89/0.67 % TRYING [2]
% 2.89/0.67 % TRYING [3]
% 2.89/0.67 % (4097921)Instruction limit reached!
% 2.89/0.67 % (4097921)------------------------------
% 2.89/0.67 % (4097921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097921)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097921)Termination reason: Instruction limit
% 2.89/0.67 % (4097921)Termination phase: Saturation
% 2.89/0.67 % (4097921)Time elapsed: 0.051 s
% 2.89/0.67 % (4097921)Peak memory usage: 13 MB
% 2.89/0.67 % (4097921)Instructions burned: 159 (million)
% 2.89/0.67 % (4097929)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2179975450:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.89/0.67 % (4097918)Instruction limit reached!
% 2.89/0.67 % (4097918)------------------------------
% 2.89/0.67 % (4097918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097918)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097918)Termination reason: Instruction limit
% 2.89/0.67 % (4097918)Termination phase: Saturation
% 2.89/0.67 % (4097918)Time elapsed: 0.055 s
% 2.89/0.67 % (4097918)Peak memory usage: 12 MB
% 2.89/0.67 % (4097918)Instructions burned: 104 (million)
% 2.89/0.67 % TRYING [1]
% 2.89/0.67 % TRYING [2]
% 2.89/0.67 % TRYING [3]
% 2.89/0.67 % (4097919)Instruction limit reached!
% 2.89/0.67 % (4097919)------------------------------
% 2.89/0.67 % (4097919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097919)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097919)Termination reason: Instruction limit
% 2.89/0.67 % (4097919)Termination phase: Saturation
% 2.89/0.67 % (4097919)Time elapsed: 0.065 s
% 2.89/0.67 % (4097919)Peak memory usage: 13 MB
% 2.89/0.67 % (4097919)Instructions burned: 117 (million)
% 2.89/0.67 % TRYING [4]
% 2.89/0.67 % TRYING [4]
% 2.89/0.67 % (4097931)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=47092346:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.89/0.67 % (4097920)Instruction limit reached!
% 2.89/0.67 % (4097920)------------------------------
% 2.89/0.67 % (4097920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097920)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097920)Termination reason: Instruction limit
% 2.89/0.67 % (4097920)Termination phase: Saturation
% 2.89/0.67 % (4097920)Time elapsed: 0.076 s
% 2.89/0.67 % (4097920)Peak memory usage: 13 MB
% 2.89/0.67 % (4097920)Instructions burned: 131 (million)
% 2.89/0.67 % (4097932)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=2932048975:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.89/0.67 % (4097934)ott-21_1_sil=16000:fs=off:random_seed=1796533691:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.89/0.67 % TRYING [5]
% 2.89/0.67 % (4097931)Instruction limit reached!
% 2.89/0.67 % (4097931)------------------------------
% 2.89/0.67 % (4097931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097931)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097931)Termination reason: Instruction limit
% 2.89/0.67 % (4097931)Termination phase: Saturation
% 2.89/0.67 % (4097931)Time elapsed: 0.081 s
% 2.89/0.67 % (4097931)Peak memory usage: 13 MB
% 2.89/0.67 % (4097931)Instructions burned: 132 (million)
% 2.89/0.67 % TRYING [5]
% 2.89/0.67 % (4097937)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3031298827:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.89/0.67 % (4097934)Instruction limit reached!
% 2.89/0.67 % (4097934)------------------------------
% 2.89/0.67 % (4097934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097934)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097934)Termination reason: Instruction limit
% 2.89/0.67 % (4097934)Termination phase: Saturation
% 2.89/0.67 % (4097934)Time elapsed: 0.095 s
% 2.89/0.67 % (4097934)Peak memory usage: 13 MB
% 2.89/0.67 % (4097934)Instructions burned: 180 (million)
% 2.89/0.67 % (4097939)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2532099459:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.89/0.67 % (4097929)Instruction limit reached!
% 2.89/0.67 % (4097929)------------------------------
% 2.89/0.67 % (4097929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097929)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097929)Termination reason: Instruction limit
% 2.89/0.67 % (4097929)Termination phase: Finite model building constraint generation
% 2.89/0.67 % (4097929)Time elapsed: 0.162 s
% 2.89/0.67 % (4097929)Peak memory usage: 30 MB
% 2.89/0.67 % (4097929)Instructions burned: 718 (million)
% 2.89/0.67 % TRYING [1]
% 2.89/0.67 % TRYING [2]
% 2.89/0.67 % TRYING [3]
% 2.89/0.67 % (4097941)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1379456010:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.89/0.67 % TRYING [4]
% 2.89/0.67 % TRYING [6]
% 2.89/0.67 % TRYING [5]
% 2.89/0.67 % (4097941) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4097910-4097941"...
% 2.89/0.67 % (4097941)...printing done.
% 2.89/0.67 % (4097941)Refutation found. Thanks to Tanya!
% 2.89/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.89/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/0.67 % (4097941)------------------------------
% 2.89/0.67 % (4097941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.67 % (4097941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.67 % (4097941)CaDiCaL version: 2.1.3
% 2.89/0.67 % (4097941)Termination reason: Refutation
% 2.89/0.67 % (4097941)Time elapsed: 0.190 s
% 2.89/0.67 % (4097941)Peak memory usage: 19 MB
% 2.89/0.67 % (4097941)Instructions burned: 608 (million)
% 2.89/0.67 % (4097910)Success in time 0.462 s
% 2.89/0.67 % Vampire exiting
%------------------------------------------------------------------------------