TSTP Solution File: NUN071+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:49:18 EDT 2023
% Result : Theorem 3.89s 1.15s
% Output : CNFRefutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 129 ( 62 unt; 0 def)
% Number of atoms : 358 ( 116 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 332 ( 103 ~; 72 |; 140 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 320 ( 12 sgn; 137 !; 87 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 = X8
& r3(X5,X6,X8) )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( X11 = X12
& r4(X9,X10,X12) )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f12,conjecture,
? [X38] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& r1(X16) )
& X22 = X38 )
& ? [X21] :
( ? [X15] :
( r2(X15,X21)
& r1(X15) )
& r4(X21,X21,X38) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',onetimesoneeqone) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& r1(X16) )
& X22 = X38 )
& ? [X21] :
( ? [X15] :
( r2(X15,X21)
& r1(X15) )
& r4(X21,X21,X38) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f14,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f15,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f16,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f17,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f18,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f20,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f21,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f24,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& X0 = X1 )
& ? [X3] :
( ? [X4] :
( r2(X4,X3)
& r1(X4) )
& r4(X3,X3,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| X0 != X1 )
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ~ r4(X3,X3,X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f26,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK0 = X1
& r1(X1) )
| ( sK0 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X1] :
( ( sK0 = X1
& r1(X1) )
| ( sK0 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f26]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f28]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK2(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK2(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1,X3] :
( ( sK2(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK2(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f15,f30]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) )
=> ! [X3] :
( ( sK3(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK3(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1,X3] :
( ( sK3(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK3(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f16,f32]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK4(X0,X1)) )
& ? [X4] :
( sK4(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK4(X0,X1)) )
=> ( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X4] :
( sK4(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK4(X0,X1) = sK6(X0,X1)
& ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1))
& sK4(X0,X1) = sK6(X0,X1)
& r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f17,f37,f36,f35,f34]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK8(X0,X1)) )
& ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK8(X0,X1)) )
=> ( r4(X0,X1,sK9(X0,X1))
& r3(sK9(X0,X1),X0,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X4] :
( sK8(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK8(X0,X1) = sK10(X0,X1)
& ? [X5] :
( r4(X0,X5,sK10(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK10(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( r4(X0,X1,sK9(X0,X1))
& r3(sK9(X0,X1),X0,sK8(X0,X1))
& sK8(X0,X1) = sK10(X0,X1)
& r4(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f18,f42,f41,f40,f39]) ).
fof(f44,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK12(X0) = X0
& ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) )
=> ( r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( sK12(X0) = X0
& r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f20,f45,f44]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK14(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X2] :
( sK14(X0) = X2
& r1(X2) )
=> ( sK14(X0) = sK15(X0)
& r1(sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) )
=> ( r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( sK14(X0) = sK15(X0)
& r1(sK15(X0))
& r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f21,f49,f48,f47]) ).
fof(f55,plain,
! [X1] :
( r1(X1)
| sK0 != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f56,plain,
! [X1] :
( sK0 = X1
| ~ r1(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f59,plain,
! [X2,X0] :
( r2(X0,X2)
| sK1(X0) != X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f60,plain,
! [X2,X0] :
( sK1(X0) = X2
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f64,plain,
! [X3,X0,X1] :
( sK2(X0,X1) = X3
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f68,plain,
! [X3,X0,X1] :
( sK3(X0,X1) = X3
| ~ r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f70,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f71,plain,
! [X0,X1] : r3(X0,sK7(X0,X1),sK6(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f72,plain,
! [X0,X1] : sK4(X0,X1) = sK6(X0,X1),
inference(cnf_transformation,[],[f38]) ).
fof(f73,plain,
! [X0,X1] : r2(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f74,plain,
! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f38]) ).
fof(f75,plain,
! [X0,X1] : r2(X1,sK11(X0,X1)),
inference(cnf_transformation,[],[f43]) ).
fof(f76,plain,
! [X0,X1] : r4(X0,sK11(X0,X1),sK10(X0,X1)),
inference(cnf_transformation,[],[f43]) ).
fof(f77,plain,
! [X0,X1] : sK8(X0,X1) = sK10(X0,X1),
inference(cnf_transformation,[],[f43]) ).
fof(f78,plain,
! [X0,X1] : r3(sK9(X0,X1),X0,sK8(X0,X1)),
inference(cnf_transformation,[],[f43]) ).
fof(f79,plain,
! [X0,X1] : r4(X0,X1,sK9(X0,X1)),
inference(cnf_transformation,[],[f43]) ).
fof(f81,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f82,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f83,plain,
! [X0] : sK12(X0) = X0,
inference(cnf_transformation,[],[f46]) ).
fof(f84,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f85,plain,
! [X0] : r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f86,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f87,plain,
! [X0] : sK14(X0) = sK15(X0),
inference(cnf_transformation,[],[f50]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2(X2,X1)
| ~ r1(X2)
| X0 != X1
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r4(X3,X3,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f94,plain,
! [X0,X1] : r2(sK5(X0,X1),sK6(X0,X1)),
inference(definition_unfolding,[],[f73,f72]) ).
fof(f95,plain,
! [X0,X1] : r3(sK9(X0,X1),X0,sK10(X0,X1)),
inference(definition_unfolding,[],[f78,f77]) ).
fof(f96,plain,
! [X0] : r4(X0,sK16(X0),sK15(X0)),
inference(definition_unfolding,[],[f85,f87]) ).
fof(f98,plain,
r1(sK0),
inference(equality_resolution,[],[f55]) ).
fof(f100,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f59]) ).
fof(f107,plain,
! [X2,X3,X1,X4] :
( ~ r2(X2,X1)
| ~ r1(X2)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r4(X3,X3,X1) ),
inference(equality_resolution,[],[f93]) ).
cnf(c_49,plain,
( ~ r1(X0)
| X0 = sK0 ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_50,plain,
r1(sK0),
inference(cnf_transformation,[],[f98]) ).
cnf(c_51,plain,
( ~ r2(X0,X1)
| sK1(X0) = X1 ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_52,plain,
r2(X0,sK1(X0)),
inference(cnf_transformation,[],[f100]) ).
cnf(c_53,plain,
( ~ r3(X0,X1,X2)
| sK2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_55,plain,
( ~ r4(X0,X1,X2)
| sK3(X0,X1) = X2 ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_57,plain,
r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f74]) ).
cnf(c_58,plain,
r2(sK5(X0,X1),sK6(X0,X1)),
inference(cnf_transformation,[],[f94]) ).
cnf(c_59,plain,
r3(X0,sK7(X0,X1),sK6(X0,X1)),
inference(cnf_transformation,[],[f71]) ).
cnf(c_60,plain,
r2(X0,sK7(X1,X0)),
inference(cnf_transformation,[],[f70]) ).
cnf(c_61,plain,
r4(X0,X1,sK9(X0,X1)),
inference(cnf_transformation,[],[f79]) ).
cnf(c_62,plain,
r3(sK9(X0,X1),X0,sK10(X0,X1)),
inference(cnf_transformation,[],[f95]) ).
cnf(c_63,plain,
r4(X0,sK11(X0,X1),sK10(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
cnf(c_64,plain,
r2(X0,sK11(X1,X0)),
inference(cnf_transformation,[],[f75]) ).
cnf(c_66,plain,
sK12(X0) = X0,
inference(cnf_transformation,[],[f83]) ).
cnf(c_67,plain,
r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f82]) ).
cnf(c_68,plain,
r1(sK13(X0)),
inference(cnf_transformation,[],[f81]) ).
cnf(c_69,plain,
r1(sK15(X0)),
inference(cnf_transformation,[],[f86]) ).
cnf(c_70,plain,
r4(X0,sK16(X0),sK15(X0)),
inference(cnf_transformation,[],[f96]) ).
cnf(c_71,plain,
r1(sK16(X0)),
inference(cnf_transformation,[],[f84]) ).
cnf(c_77,negated_conjecture,
( ~ r4(X0,X0,X1)
| ~ r2(X2,X1)
| ~ r2(X3,X0)
| ~ r1(X2)
| ~ r1(X3) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_81,plain,
r2(sK0,sK1(sK0)),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_193,plain,
r3(X0,sK13(X0),X0),
inference(light_normalisation,[status(thm)],[c_67,c_66]) ).
cnf(c_254,plain,
( sK5(X1,X3) != X4
| X0 != X1
| X2 != X3
| sK2(X0,X2) = X4 ),
inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).
cnf(c_255,plain,
sK2(X0,X1) = sK5(X0,X1),
inference(unflattening,[status(thm)],[c_254]) ).
cnf(c_260,plain,
( sK6(X1,X2) != X4
| sK7(X1,X2) != X3
| X0 != X1
| sK2(X0,X3) = X4 ),
inference(resolution_lifted,[status(thm)],[c_53,c_59]) ).
cnf(c_261,plain,
sK2(X0,sK7(X0,X1)) = sK6(X0,X1),
inference(unflattening,[status(thm)],[c_260]) ).
cnf(c_266,plain,
( sK9(X0,X1) != X2
| sK10(X0,X1) != X4
| X0 != X3
| sK2(X2,X3) = X4 ),
inference(resolution_lifted,[status(thm)],[c_53,c_62]) ).
cnf(c_267,plain,
sK2(sK9(X0,X1),X0) = sK10(X0,X1),
inference(unflattening,[status(thm)],[c_266]) ).
cnf(c_272,plain,
( sK13(X1) != X2
| X0 != X1
| X1 != X3
| sK2(X0,X2) = X3 ),
inference(resolution_lifted,[status(thm)],[c_53,c_193]) ).
cnf(c_273,plain,
sK2(X0,sK13(X0)) = X0,
inference(unflattening,[status(thm)],[c_272]) ).
cnf(c_473,plain,
r2(sK2(X0,X1),sK6(X0,X1)),
inference(demodulation,[status(thm)],[c_58,c_255]) ).
cnf(c_890,plain,
sK13(X0) = sK0,
inference(superposition,[status(thm)],[c_68,c_49]) ).
cnf(c_891,plain,
sK15(X0) = sK0,
inference(superposition,[status(thm)],[c_69,c_49]) ).
cnf(c_892,plain,
sK16(X0) = sK0,
inference(superposition,[status(thm)],[c_71,c_49]) ).
cnf(c_894,plain,
r4(X0,sK16(X0),sK0),
inference(demodulation,[status(thm)],[c_70,c_891]) ).
cnf(c_917,plain,
r4(X0,sK0,sK0),
inference(light_normalisation,[status(thm)],[c_894,c_892]) ).
cnf(c_963,plain,
sK7(X0,X1) = sK1(X1),
inference(superposition,[status(thm)],[c_60,c_51]) ).
cnf(c_964,plain,
sK11(X0,X1) = sK1(X1),
inference(superposition,[status(thm)],[c_64,c_51]) ).
cnf(c_971,plain,
r4(X0,sK1(X1),sK10(X0,X1)),
inference(demodulation,[status(thm)],[c_63,c_964]) ).
cnf(c_979,plain,
sK2(X0,sK0) = X0,
inference(light_normalisation,[status(thm)],[c_273,c_890]) ).
cnf(c_980,plain,
r2(X0,sK6(X0,sK0)),
inference(superposition,[status(thm)],[c_979,c_473]) ).
cnf(c_982,plain,
sK6(X0,sK0) = sK1(X0),
inference(superposition,[status(thm)],[c_980,c_51]) ).
cnf(c_990,plain,
( ~ r2(X0,sK10(sK1(X1),X1))
| ~ r2(X2,sK1(X1))
| ~ r1(X0)
| ~ r1(X2) ),
inference(superposition,[status(thm)],[c_971,c_77]) ).
cnf(c_1065,plain,
sK3(X0,X1) = sK9(X0,X1),
inference(superposition,[status(thm)],[c_61,c_55]) ).
cnf(c_1066,plain,
sK3(X0,sK0) = sK0,
inference(superposition,[status(thm)],[c_917,c_55]) ).
cnf(c_1184,plain,
sK2(X0,sK1(X1)) = sK6(X0,X1),
inference(light_normalisation,[status(thm)],[c_261,c_963]) ).
cnf(c_1218,plain,
sK2(sK3(X0,X1),X0) = sK10(X0,X1),
inference(light_normalisation,[status(thm)],[c_267,c_1065]) ).
cnf(c_1221,plain,
sK2(sK0,X0) = sK10(X0,sK0),
inference(superposition,[status(thm)],[c_1066,c_1218]) ).
cnf(c_1303,plain,
( ~ r2(X0,sK2(sK0,sK1(sK0)))
| ~ r2(X1,sK1(sK0))
| ~ r1(X0)
| ~ r1(X1) ),
inference(superposition,[status(thm)],[c_1221,c_990]) ).
cnf(c_1325,plain,
( ~ r2(X0,sK1(sK0))
| ~ r2(X1,sK1(sK0))
| ~ r1(X0)
| ~ r1(X1) ),
inference(demodulation,[status(thm)],[c_1303,c_982,c_1184]) ).
cnf(c_1334,plain,
( ~ r2(X0,sK1(sK0))
| ~ r1(X0)
| ~ r1(sK0) ),
inference(superposition,[status(thm)],[c_52,c_1325]) ).
cnf(c_1337,plain,
( ~ r2(X0,sK1(sK0))
| ~ r1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1334,c_50]) ).
cnf(c_1342,plain,
( ~ r2(sK0,sK1(sK0))
| ~ r1(sK0) ),
inference(instantiation,[status(thm)],[c_1337]) ).
cnf(c_1343,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1342,c_81,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 09:31:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/1.15 % SZS status Started for theBenchmark.p
% 3.89/1.15 % SZS status Theorem for theBenchmark.p
% 3.89/1.15
% 3.89/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.89/1.15
% 3.89/1.15 ------ iProver source info
% 3.89/1.15
% 3.89/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.89/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.89/1.15 git: non_committed_changes: false
% 3.89/1.15 git: last_make_outside_of_git: false
% 3.89/1.15
% 3.89/1.15 ------ Parsing...
% 3.89/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.89/1.15
% 3.89/1.15 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 1 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.89/1.15
% 3.89/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.89/1.15
% 3.89/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.89/1.15 ------ Proving...
% 3.89/1.15 ------ Problem Properties
% 3.89/1.15
% 3.89/1.15
% 3.89/1.15 clauses 27
% 3.89/1.15 conjectures 1
% 3.89/1.15 EPR 5
% 3.89/1.15 Horn 23
% 3.89/1.15 unary 17
% 3.89/1.15 binary 8
% 3.89/1.15 lits 41
% 3.89/1.15 lits eq 13
% 3.89/1.15 fd_pure 0
% 3.89/1.15 fd_pseudo 0
% 3.89/1.15 fd_cond 1
% 3.89/1.15 fd_pseudo_cond 3
% 3.89/1.15 AC symbols 0
% 3.89/1.15
% 3.89/1.15 ------ Schedule dynamic 5 is on
% 3.89/1.15
% 3.89/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.89/1.15
% 3.89/1.15
% 3.89/1.15 ------
% 3.89/1.15 Current options:
% 3.89/1.15 ------
% 3.89/1.15
% 3.89/1.15
% 3.89/1.15
% 3.89/1.15
% 3.89/1.15 ------ Proving...
% 3.89/1.15
% 3.89/1.15
% 3.89/1.15 % SZS status Theorem for theBenchmark.p
% 3.89/1.15
% 3.89/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.15
% 3.89/1.15
%------------------------------------------------------------------------------