TSTP Solution File: NUN086+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUN086+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 12:49:24 EDT 2023
% Result : Theorem 3.58s 1.12s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 141 ( 43 unt; 0 def)
% Number of atoms : 438 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 497 ( 200 ~; 171 |; 114 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-2 aty)
% Number of variables : 335 ( 5 sgn; 156 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( ~ id(X8,X7)
& ~ r3(X5,X6,X8) )
| ( r3(X5,X6,X8)
& id(X8,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( ~ id(X12,X11)
& ~ r4(X9,X10,X12) )
| ( r4(X9,X10,X12)
& id(X12,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,axiom,
! [X16,X17,X18] :
( ~ id(X17,X18)
| id(X16,X18)
| ~ id(X16,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X25,X26,X27,X28,X29,X30] :
( ( r3(X28,X29,X30)
& r3(X25,X26,X27) )
| ( ~ r3(X28,X29,X30)
& ~ r3(X25,X26,X27) )
| ~ id(X27,X30)
| ~ id(X26,X29)
| ~ id(X25,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f11,axiom,
! [X31,X32,X33,X34,X35,X36] :
( ( r4(X34,X35,X36)
& r4(X31,X32,X33) )
| ( ~ r4(X34,X35,X36)
& ~ r4(X31,X32,X33) )
| ~ id(X33,X36)
| ~ id(X32,X35)
| ~ id(X31,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X48] :
( r4(X43,X44,X48)
& r3(X48,X43,X45) )
& ? [X46] :
( ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) )
& id(X46,X45) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X59] :
( r1(X59)
& id(X57,X59) )
& ? [X58] :
( r4(X56,X58,X57)
& r1(X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f19,conjecture,
? [X62] :
( ? [X40] :
( r1(X40)
& id(X62,X40) )
& ? [X45] :
( ? [X39] :
( r4(X39,X45,X62)
& r1(X39) )
& ? [X46] :
( r2(X46,X45)
& r1(X46) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimesoneidzero) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ? [X40] :
( r1(X40)
& id(X62,X40) )
& ? [X45] :
( ? [X39] :
( r4(X39,X45,X62)
& r1(X39) )
& ? [X46] :
( r2(X46,X45)
& r1(X46) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f3]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f24,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f25,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f27,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r3(X3,X4,X5)
& r3(X0,X1,X2) )
| ( ~ r3(X3,X4,X5)
& ~ r3(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r4(X3,X4,X5)
& r4(X0,X1,X2) )
| ( ~ r4(X3,X4,X5)
& ~ r4(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f34,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f35,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f16]) ).
fof(f38,plain,
~ ? [X0] :
( ? [X1] :
( r1(X1)
& id(X0,X1) )
& ? [X2] :
( ? [X3] :
( r4(X3,X2,X0)
& r1(X3) )
& ? [X4] :
( r2(X4,X2)
& r1(X4) ) ) ),
inference(rectify,[],[f20]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ~ r1(X1)
| ~ id(X0,X1) )
| ! [X2] :
( ! [X3] :
( ~ r4(X3,X2,X0)
| ~ r1(X3) )
| ! [X4] :
( ~ r2(X4,X2)
| ~ r1(X4) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f40,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X1] :
( ( ~ id(X1,sK0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f40]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK2(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK2(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK2(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK2(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f22,f44]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK3(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK3(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK3(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK3(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f23,f46]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK8(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK8(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,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(f55,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK8(X0,X1)) )
=> ( ? [X5] :
( r4(X0,X5,sK10(X0,X1))
& r2(X1,X5) )
& id(sK10(X0,X1),sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,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(f57,plain,
! [X0,X1] :
( r4(X0,X1,sK9(X0,X1))
& r3(sK9(X0,X1),X0,sK8(X0,X1))
& r4(X0,sK11(X0,X1),sK10(X0,X1))
& r2(X1,sK11(X0,X1))
& id(sK10(X0,X1),sK8(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f32,f56,f55,f54,f53]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) )
& id(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK12(X0))
& r1(X2) )
=> ( r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( r3(X0,sK13(X0),sK12(X0))
& r1(sK13(X0))
& id(sK12(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f34,f59,f58]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( r1(X2)
& id(sK14(X0),X2) )
& ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& id(sK14(X0),X2) )
=> ( r1(sK15(X0))
& id(sK14(X0),sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK14(X0))
& r1(X3) )
=> ( r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( r1(sK15(X0))
& id(sK14(X0),sK15(X0))
& r4(X0,sK16(X0),sK14(X0))
& r1(sK16(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f35,f63,f62,f61]) ).
fof(f68,plain,
! [X1] :
( ~ r1(X1)
| id(X1,sK0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f71,plain,
! [X1] :
( ~ id(X1,sK0)
| r1(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f76,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f80,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| id(X3,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f84,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f85,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f89,plain,
! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4,X5] :
( r3(X0,X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X4,X5] :
( r3(X3,X4,X5)
| ~ r3(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4(X3,X4,X5)
| ~ r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f108,plain,
! [X0,X1] : id(sK10(X0,X1),sK8(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f109,plain,
! [X0,X1] : r2(X1,sK11(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f110,plain,
! [X0,X1] : r4(X0,sK11(X0,X1),sK10(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f111,plain,
! [X0,X1] : r3(sK9(X0,X1),X0,sK8(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f112,plain,
! [X0,X1] : r4(X0,X1,sK9(X0,X1)),
inference(cnf_transformation,[],[f57]) ).
fof(f114,plain,
! [X0] : id(sK12(X0),X0),
inference(cnf_transformation,[],[f60]) ).
fof(f115,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f116,plain,
! [X0] : r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f117,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f118,plain,
! [X0] : r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f119,plain,
! [X0] : id(sK14(X0),sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f120,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X1)
| ~ id(X0,X1)
| ~ r4(X3,X2,X0)
| ~ r1(X3)
| ~ r2(X4,X2)
| ~ r1(X4) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_49,plain,
( ~ id(X0,sK0)
| r1(X0) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_50,plain,
( ~ r1(X0)
| id(X0,sK0) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_54,plain,
( ~ r3(X0,X1,X2)
| id(X2,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_56,plain,
( ~ r4(X0,X1,X2)
| id(X2,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_57,plain,
id(X0,X0),
inference(cnf_transformation,[],[f84]) ).
cnf(c_58,plain,
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_59,plain,
( ~ id(X0,X1)
| ~ id(X2,X0)
| id(X2,X1) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_60,plain,
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_64,plain,
( ~ r3(X0,X1,X2)
| ~ id(X0,X5)
| ~ id(X1,X3)
| ~ id(X2,X4)
| r3(X5,X3,X4) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_65,plain,
( ~ r3(X0,X1,X2)
| ~ id(X3,X1)
| ~ id(X4,X2)
| ~ id(X5,X0)
| r3(X5,X3,X4) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_66,plain,
( ~ r4(X0,X1,X2)
| ~ id(X0,X5)
| ~ id(X1,X3)
| ~ id(X2,X4)
| r4(X5,X3,X4) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_73,plain,
r4(X0,X1,sK9(X0,X1)),
inference(cnf_transformation,[],[f112]) ).
cnf(c_74,plain,
r3(sK9(X0,X1),X0,sK8(X0,X1)),
inference(cnf_transformation,[],[f111]) ).
cnf(c_75,plain,
r4(X0,sK11(X0,X1),sK10(X0,X1)),
inference(cnf_transformation,[],[f110]) ).
cnf(c_76,plain,
r2(X0,sK11(X1,X0)),
inference(cnf_transformation,[],[f109]) ).
cnf(c_77,plain,
id(sK10(X0,X1),sK8(X0,X1)),
inference(cnf_transformation,[],[f108]) ).
cnf(c_79,plain,
r3(X0,sK13(X0),sK12(X0)),
inference(cnf_transformation,[],[f116]) ).
cnf(c_80,plain,
r1(sK13(X0)),
inference(cnf_transformation,[],[f115]) ).
cnf(c_81,plain,
id(sK12(X0),X0),
inference(cnf_transformation,[],[f114]) ).
cnf(c_82,plain,
r1(sK15(X0)),
inference(cnf_transformation,[],[f120]) ).
cnf(c_83,plain,
id(sK14(X0),sK15(X0)),
inference(cnf_transformation,[],[f119]) ).
cnf(c_84,plain,
r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f118]) ).
cnf(c_85,plain,
r1(sK16(X0)),
inference(cnf_transformation,[],[f117]) ).
cnf(c_91,negated_conjecture,
( ~ r4(X0,X1,X2)
| ~ id(X2,X3)
| ~ r2(X4,X1)
| ~ r1(X0)
| ~ r1(X3)
| ~ r1(X4) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_92,plain,
r1(sK16(sK0)),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_94,plain,
r1(sK13(sK0)),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_95,plain,
id(sK0,sK0),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_96,plain,
id(sK12(sK0),sK0),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_98,plain,
r2(sK0,sK11(sK0,sK0)),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_100,plain,
r4(sK0,sK16(sK0),sK14(sK0)),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_101,plain,
r3(sK0,sK13(sK0),sK12(sK0)),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_102,plain,
r4(sK0,sK0,sK9(sK0,sK0)),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_104,plain,
( ~ id(sK0,sK0)
| r1(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_106,plain,
id(sK10(sK0,sK0),sK8(sK0,sK0)),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_111,plain,
r4(sK0,sK11(sK0,sK0),sK10(sK0,sK0)),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_112,plain,
r3(sK9(sK0,sK0),sK0,sK8(sK0,sK0)),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_117,plain,
( ~ r4(sK0,sK0,sK0)
| id(sK0,sK3(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_425,plain,
( ~ r4(X0,sK11(X1,X2),X3)
| ~ r2(X2,sK11(X1,X2))
| ~ id(X3,X4)
| ~ r1(X0)
| ~ r1(X2)
| ~ r1(X4) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_475,plain,
( ~ r4(X0,X1,sK9(X0,X1))
| id(sK9(X0,X1),sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_476,plain,
( ~ r4(sK0,sK0,sK9(sK0,sK0))
| id(sK9(sK0,sK0),sK3(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_475]) ).
cnf(c_503,plain,
( ~ r3(X0,sK13(X0),sK12(X0))
| ~ id(sK13(X0),X1)
| ~ id(sK12(X0),X2)
| ~ id(X0,X3)
| r3(X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_504,plain,
( ~ r3(sK0,sK13(sK0),sK12(sK0))
| ~ id(sK13(sK0),sK0)
| ~ id(sK12(sK0),sK0)
| ~ id(sK0,sK0)
| r3(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_503]) ).
cnf(c_513,plain,
( ~ r4(X0,sK16(X0),sK14(X0))
| ~ id(sK14(X0),X1)
| ~ id(sK16(X0),X2)
| ~ id(X0,X3)
| r4(X3,X2,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_514,plain,
( ~ r4(sK0,sK16(sK0),sK14(sK0))
| ~ id(sK14(sK0),sK0)
| ~ id(sK16(sK0),sK0)
| ~ id(sK0,sK0)
| r4(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_513]) ).
cnf(c_527,plain,
( ~ r3(sK9(X0,X1),X0,sK8(X0,X1))
| ~ id(X2,sK8(X0,X1))
| ~ id(X3,sK9(X0,X1))
| ~ id(X4,X0)
| r3(X3,X4,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_541,plain,
( ~ r4(X0,sK11(X0,X1),sK10(X0,X1))
| ~ id(sK10(X0,X1),X2)
| ~ r2(X1,sK11(X0,X1))
| ~ r1(X0)
| ~ r1(X1)
| ~ r1(X2) ),
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_610,plain,
( ~ id(X0,sK3(X1,X2))
| id(sK3(X1,X2),X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_611,plain,
( ~ id(sK0,sK3(sK0,sK0))
| id(sK3(sK0,sK0),sK0) ),
inference(instantiation,[status(thm)],[c_610]) ).
cnf(c_954,plain,
( ~ r1(sK13(X0))
| id(sK13(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_955,plain,
( ~ r1(sK13(sK0))
| id(sK13(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_954]) ).
cnf(c_1047,plain,
id(sK15(X0),sK14(X0)),
inference(superposition,[status(thm)],[c_83,c_58]) ).
cnf(c_1074,plain,
( ~ r1(sK14(X0))
| id(sK14(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1075,plain,
( ~ r1(sK14(sK0))
| id(sK14(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_1074]) ).
cnf(c_1216,plain,
( ~ id(sK9(X0,X1),X2)
| ~ id(X2,X3)
| id(sK9(X0,X1),X3) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1305,plain,
( ~ id(sK9(X0,X1),X2)
| id(X2,sK9(X0,X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1306,plain,
( ~ id(sK9(sK0,sK0),sK0)
| id(sK0,sK9(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_1305]) ).
cnf(c_1359,plain,
( ~ r3(sK9(X0,X1),X0,sK8(X0,X1))
| ~ id(sK10(X0,X1),sK8(X0,X1))
| ~ id(X2,sK9(X0,X1))
| ~ id(X3,X0)
| r3(X2,X3,sK10(X0,X1)) ),
inference(instantiation,[status(thm)],[c_527]) ).
cnf(c_1360,plain,
( ~ r3(sK9(sK0,sK0),sK0,sK8(sK0,sK0))
| ~ id(sK10(sK0,sK0),sK8(sK0,sK0))
| ~ id(sK0,sK9(sK0,sK0))
| ~ id(sK0,sK0)
| r3(sK0,sK0,sK10(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_1359]) ).
cnf(c_1737,plain,
( ~ r1(sK15(X0))
| r1(sK14(X0)) ),
inference(superposition,[status(thm)],[c_1047,c_60]) ).
cnf(c_1746,plain,
r1(sK14(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_1737,c_82]) ).
cnf(c_1770,plain,
r1(sK14(sK0)),
inference(instantiation,[status(thm)],[c_1746]) ).
cnf(c_1921,plain,
( ~ r3(X0,X1,sK10(X2,X3))
| id(sK10(X2,X3),sK2(X0,X1)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1922,plain,
( ~ r4(X0,sK11(X0,X1),sK10(X0,X1))
| ~ id(sK10(X0,X1),sK2(X2,X3))
| ~ r2(X1,sK11(X0,X1))
| ~ r1(sK2(X2,X3))
| ~ r1(X0)
| ~ r1(X1) ),
inference(instantiation,[status(thm)],[c_541]) ).
cnf(c_1923,plain,
( ~ r3(sK0,sK0,sK10(sK0,sK0))
| id(sK10(sK0,sK0),sK2(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_1921]) ).
cnf(c_1924,plain,
( ~ r4(sK0,sK11(sK0,sK0),sK10(sK0,sK0))
| ~ id(sK10(sK0,sK0),sK2(sK0,sK0))
| ~ r2(sK0,sK11(sK0,sK0))
| ~ r1(sK2(sK0,sK0))
| ~ r1(sK0) ),
inference(instantiation,[status(thm)],[c_1922]) ).
cnf(c_2471,plain,
( ~ r1(sK16(X0))
| id(sK16(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2472,plain,
( ~ r1(sK16(sK0))
| id(sK16(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_2471]) ).
cnf(c_2820,plain,
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK2(X0,X1)) ),
inference(superposition,[status(thm)],[c_54,c_60]) ).
cnf(c_2843,plain,
( ~ r3(sK0,sK0,sK0)
| ~ r1(sK0)
| r1(sK2(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_2820]) ).
cnf(c_5819,plain,
( ~ id(sK9(X0,X1),sK3(X2,X3))
| ~ id(sK3(X2,X3),X4)
| id(sK9(X0,X1),X4) ),
inference(instantiation,[status(thm)],[c_1216]) ).
cnf(c_5822,plain,
( ~ id(sK9(sK0,sK0),sK3(sK0,sK0))
| ~ id(sK3(sK0,sK0),sK0)
| id(sK9(sK0,sK0),sK0) ),
inference(instantiation,[status(thm)],[c_5819]) ).
cnf(c_5823,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5822,c_2843,c_2472,c_1924,c_1923,c_1770,c_1360,c_1306,c_1075,c_955,c_611,c_514,c_504,c_476,c_117,c_112,c_111,c_106,c_104,c_102,c_101,c_100,c_98,c_96,c_95,c_94,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN086+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n006.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 09:41:37 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.58/1.12 % SZS status Started for theBenchmark.p
% 3.58/1.12 % SZS status Theorem for theBenchmark.p
% 3.58/1.12
% 3.58/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.58/1.12
% 3.58/1.12 ------ iProver source info
% 3.58/1.12
% 3.58/1.12 git: date: 2023-05-31 18:12:56 +0000
% 3.58/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.58/1.12 git: non_committed_changes: false
% 3.58/1.12 git: last_make_outside_of_git: false
% 3.58/1.12
% 3.58/1.12 ------ Parsing...
% 3.58/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.58/1.12
% 3.58/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.58/1.12
% 3.58/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.58/1.12 ------ Proving...
% 3.58/1.12 ------ Problem Properties
% 3.58/1.12
% 3.58/1.12
% 3.58/1.12 clauses 43
% 3.58/1.12 conjectures 1
% 3.58/1.12 EPR 16
% 3.58/1.12 Horn 39
% 3.58/1.12 unary 18
% 3.58/1.12 binary 13
% 3.58/1.12 lits 94
% 3.58/1.12 lits eq 0
% 3.58/1.12 fd_pure 0
% 3.58/1.12 fd_pseudo 0
% 3.58/1.12 fd_cond 0
% 3.58/1.12 fd_pseudo_cond 0
% 3.58/1.12 AC symbols 0
% 3.58/1.12
% 3.58/1.12 ------ Schedule dynamic 5 is on
% 3.58/1.12
% 3.58/1.12 ------ no equalities: superposition off
% 3.58/1.12
% 3.58/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.58/1.12
% 3.58/1.12
% 3.58/1.12 ------
% 3.58/1.12 Current options:
% 3.58/1.12 ------
% 3.58/1.12
% 3.58/1.12
% 3.58/1.12
% 3.58/1.12
% 3.58/1.12 ------ Proving...
% 3.58/1.12
% 3.58/1.12
% 3.58/1.12 % SZS status Theorem for theBenchmark.p
% 3.58/1.12
% 3.58/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.12
% 3.58/1.13
%------------------------------------------------------------------------------