TSTP Solution File: NUN073+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 : Fri May 3 02:53:17 EDT 2024
% Result : Theorem 3.62s 1.12s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 115 ( 34 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 428 ( 181 ~; 156 |; 81 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 229 ( 4 sgn 117 !; 40 ?)
% 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(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(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(f9,axiom,
! [X21,X22,X23,X24] :
( ( r2(X23,X24)
& r2(X21,X22) )
| ( ~ r2(X23,X24)
& ~ r2(X21,X22) )
| ~ id(X22,X24)
| ~ id(X21,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
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(f14,axiom,
! [X49,X50] :
( id(X49,X50)
| ! [X51] :
( ~ r2(X50,X51)
| ! [X52] :
( ~ r2(X49,X52)
| ~ id(X52,X51) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
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(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f19,conjecture,
! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ! [X40] :
( ~ r2(X40,X46)
| ~ r1(X40) ) )
| ! [X45] :
( ~ id(X45,X62)
| ! [X39] :
( ~ r2(X39,X45)
| ~ r1(X39) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneunidtwo) ).
fof(f20,negated_conjecture,
~ ! [X62] :
( ! [X46] :
( ~ r2(X46,X62)
| ! [X40] :
( ~ r2(X40,X46)
| ~ r1(X40) ) )
| ! [X45] :
( ~ id(X45,X62)
| ! [X39] :
( ~ r2(X39,X45)
| ~ r1(X39) ) ) ),
inference(negated_conjecture,[],[f19]) ).
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(f27,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ( r2(X2,X3)
& r2(X0,X1) )
| ( ~ r2(X2,X3)
& ~ r2(X0,X1) )
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(rectify,[],[f9]) ).
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(f33,plain,
! [X0,X1] :
( id(X0,X1)
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( ~ r2(X0,X3)
| ~ id(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f35,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f16]) ).
fof(f37,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f38,plain,
~ ! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) )
| ! [X3] :
( ~ id(X3,X0)
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) ) ),
inference(rectify,[],[f20]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,X0)
& ? [X4] :
( r2(X4,X3)
& 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(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(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,
( ? [X0] :
( ? [X1] :
( r2(X1,X0)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,X0)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) )
=> ( ? [X1] :
( r2(X1,sK20)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
& ? [X3] :
( id(X3,sK20)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X1] :
( r2(X1,sK20)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) )
=> ( r2(sK21,sK20)
& ? [X2] :
( r2(X2,sK21)
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X2] :
( r2(X2,sK21)
& r1(X2) )
=> ( r2(sK22,sK21)
& r1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X3] :
( id(X3,sK20)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
=> ( id(sK23,sK20)
& ? [X4] :
( r2(X4,sK23)
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X4] :
( r2(X4,sK23)
& r1(X4) )
=> ( r2(sK24,sK23)
& r1(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( r2(sK21,sK20)
& r2(sK22,sK21)
& r1(sK22)
& id(sK23,sK20)
& r2(sK24,sK23)
& r1(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24])],[f39,f72,f71,f70,f69,f68]) ).
fof(f74,plain,
! [X1] :
( ~ r1(X1)
| id(X1,sK0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f77,plain,
! [X1] :
( ~ id(X1,sK0)
| r1(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f86,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| id(X3,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f90,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f91,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f95,plain,
! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( r2(X2,X3)
| ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f107,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(f119,plain,
! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f123,plain,
! [X0] : r1(sK16(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f124,plain,
! [X0] : r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f125,plain,
! [X0] : id(sK14(X0),sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f126,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f64]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f132,plain,
r1(sK24),
inference(cnf_transformation,[],[f73]) ).
fof(f133,plain,
r2(sK24,sK23),
inference(cnf_transformation,[],[f73]) ).
fof(f134,plain,
id(sK23,sK20),
inference(cnf_transformation,[],[f73]) ).
fof(f135,plain,
r1(sK22),
inference(cnf_transformation,[],[f73]) ).
fof(f136,plain,
r2(sK22,sK21),
inference(cnf_transformation,[],[f73]) ).
fof(f137,plain,
r2(sK21,sK20),
inference(cnf_transformation,[],[f73]) ).
cnf(c_49,plain,
( ~ id(X0,sK0)
| r1(X0) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_50,plain,
( ~ r1(X0)
| id(X0,sK0) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_56,plain,
( ~ r4(X0,X1,X2)
| id(X2,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_57,plain,
id(X0,X0),
inference(cnf_transformation,[],[f90]) ).
cnf(c_58,plain,
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_60,plain,
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_62,plain,
( ~ id(X0,X1)
| ~ id(X2,X3)
| ~ r2(X2,X0)
| r2(X3,X1) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_63,plain,
( ~ id(X0,X1)
| ~ id(X2,X3)
| ~ r2(X3,X1)
| r2(X2,X0) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_66,plain,
( ~ r4(X0,X1,X2)
| ~ id(X0,X5)
| ~ id(X1,X3)
| ~ id(X2,X4)
| r4(X5,X3,X4) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_78,plain,
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r2(X3,X0)
| id(X3,X2) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_82,plain,
r1(sK15(X0)),
inference(cnf_transformation,[],[f126]) ).
cnf(c_83,plain,
id(sK14(X0),sK15(X0)),
inference(cnf_transformation,[],[f125]) ).
cnf(c_84,plain,
r4(X0,sK16(X0),sK14(X0)),
inference(cnf_transformation,[],[f124]) ).
cnf(c_85,plain,
r1(sK16(X0)),
inference(cnf_transformation,[],[f123]) ).
cnf(c_90,plain,
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_91,negated_conjecture,
r2(sK21,sK20),
inference(cnf_transformation,[],[f137]) ).
cnf(c_92,negated_conjecture,
r2(sK22,sK21),
inference(cnf_transformation,[],[f136]) ).
cnf(c_93,negated_conjecture,
r1(sK22),
inference(cnf_transformation,[],[f135]) ).
cnf(c_94,negated_conjecture,
id(sK23,sK20),
inference(cnf_transformation,[],[f134]) ).
cnf(c_95,negated_conjecture,
r2(sK24,sK23),
inference(cnf_transformation,[],[f133]) ).
cnf(c_96,negated_conjecture,
r1(sK24),
inference(cnf_transformation,[],[f132]) ).
cnf(c_97,plain,
r1(sK16(sK0)),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_100,plain,
id(sK0,sK0),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_105,plain,
r4(sK0,sK16(sK0),sK14(sK0)),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_109,plain,
( ~ id(sK0,sK0)
| r1(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_126,plain,
( ~ id(sK0,sK0)
| ~ r2(sK0,sK0)
| ~ r1(sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_433,negated_conjecture,
id(sK23,sK20),
inference(demodulation,[status(thm)],[c_94]) ).
cnf(c_503,plain,
( ~ id(sK21,X0)
| ~ id(sK22,X1)
| ~ r2(sK22,sK21)
| r2(X1,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_505,plain,
( ~ id(sK23,X0)
| ~ id(sK24,X1)
| ~ r2(sK24,sK23)
| r2(X1,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_522,plain,
( ~ r2(sK3(X0,X1),X2)
| ~ id(X3,X2)
| ~ r2(X4,X3)
| id(X4,sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_539,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_542,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_539]) ).
cnf(c_566,plain,
id(sK20,sK20),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_587,plain,
id(sK23,sK23),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_917,plain,
id(sK15(X0),sK14(X0)),
inference(superposition,[status(thm)],[c_83,c_58]) ).
cnf(c_970,plain,
( ~ r2(sK3(X0,X1),X2)
| ~ id(sK20,X2)
| ~ r2(sK21,sK20)
| id(sK21,sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_1181,plain,
( ~ r1(sK14(X0))
| id(sK14(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1182,plain,
( ~ r1(sK14(sK0))
| id(sK14(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_1181]) ).
cnf(c_1309,plain,
( ~ r1(sK15(X0))
| r1(sK14(X0)) ),
inference(superposition,[status(thm)],[c_917,c_60]) ).
cnf(c_1322,plain,
r1(sK14(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_1309,c_82]) ).
cnf(c_1343,plain,
r1(sK14(sK0)),
inference(instantiation,[status(thm)],[c_1322]) ).
cnf(c_1482,plain,
( ~ r1(sK24)
| id(sK24,sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1539,plain,
( ~ id(sK21,sK3(X0,X1))
| ~ id(sK22,X2)
| ~ r2(sK22,sK21)
| r2(X2,sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_503]) ).
cnf(c_1542,plain,
( ~ id(sK21,sK3(sK0,sK0))
| ~ id(sK22,sK0)
| ~ r2(sK22,sK21)
| r2(sK0,sK3(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_1539]) ).
cnf(c_1762,plain,
( ~ id(sK24,X0)
| ~ id(sK23,sK23)
| ~ r2(sK24,sK23)
| r2(X0,sK23) ),
inference(instantiation,[status(thm)],[c_505]) ).
cnf(c_1763,plain,
( ~ id(sK23,sK23)
| ~ id(sK24,sK0)
| ~ r2(sK24,sK23)
| r2(sK0,sK23) ),
inference(instantiation,[status(thm)],[c_1762]) ).
cnf(c_1898,plain,
( ~ r2(sK3(X0,X1),sK20)
| ~ id(sK20,sK20)
| ~ r2(sK21,sK20)
| id(sK21,sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_1899,plain,
( ~ r2(sK3(sK0,sK0),sK20)
| ~ id(sK20,sK20)
| ~ r2(sK21,sK20)
| id(sK21,sK3(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_1898]) ).
cnf(c_1950,plain,
( ~ r1(sK22)
| id(sK22,sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_3006,plain,
( ~ r1(sK16(X0))
| id(sK16(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_3007,plain,
( ~ r1(sK16(sK0))
| id(sK16(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_3006]) ).
cnf(c_3129,plain,
( ~ id(X0,X1)
| ~ r2(X0,sK23)
| r2(X1,sK20) ),
inference(superposition,[status(thm)],[c_433,c_62]) ).
cnf(c_3834,plain,
( ~ r2(X0,sK3(X1,X2))
| ~ r4(X1,X2,X3)
| ~ id(X4,X0)
| r2(X4,X3) ),
inference(superposition,[status(thm)],[c_56,c_63]) ).
cnf(c_3935,plain,
( ~ r2(sK0,sK3(sK0,sK0))
| ~ r4(sK0,sK0,sK0)
| ~ id(sK0,sK0)
| r2(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_3834]) ).
cnf(c_5207,plain,
( ~ r4(X0,X1,X2)
| ~ r2(X2,sK23)
| r2(sK3(X0,X1),sK20) ),
inference(superposition,[status(thm)],[c_56,c_3129]) ).
cnf(c_5307,plain,
( ~ r4(sK0,sK0,sK0)
| ~ r2(sK0,sK23)
| r2(sK3(sK0,sK0),sK20) ),
inference(instantiation,[status(thm)],[c_5207]) ).
cnf(c_5308,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5307,c_3935,c_3007,c_1950,c_1899,c_1763,c_1542,c_1482,c_1343,c_1182,c_587,c_566,c_542,c_126,c_109,c_105,c_100,c_97,c_91,c_92,c_95,c_93,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUN073+1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 21:37:34 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.62/1.12 % SZS status Started for theBenchmark.p
% 3.62/1.12 % SZS status Theorem for theBenchmark.p
% 3.62/1.12
% 3.62/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.62/1.12
% 3.62/1.12 ------ iProver source info
% 3.62/1.12
% 3.62/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.62/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.62/1.12 git: non_committed_changes: false
% 3.62/1.12
% 3.62/1.12 ------ Parsing...
% 3.62/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.62/1.12
% 3.62/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.62/1.12
% 3.62/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.62/1.12 ------ Proving...
% 3.62/1.12 ------ Problem Properties
% 3.62/1.12
% 3.62/1.12
% 3.62/1.12 clauses 48
% 3.62/1.12 conjectures 6
% 3.62/1.12 EPR 21
% 3.62/1.12 Horn 44
% 3.62/1.12 unary 24
% 3.62/1.12 binary 13
% 3.62/1.12 lits 94
% 3.62/1.12 lits eq 0
% 3.62/1.12 fd_pure 0
% 3.62/1.12 fd_pseudo 0
% 3.62/1.12 fd_cond 0
% 3.62/1.12 fd_pseudo_cond 0
% 3.62/1.12 AC symbols 0
% 3.62/1.12
% 3.62/1.12 ------ Schedule dynamic 5 is on
% 3.62/1.12
% 3.62/1.12 ------ no equalities: superposition off
% 3.62/1.12
% 3.62/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.62/1.12
% 3.62/1.12
% 3.62/1.12 ------
% 3.62/1.12 Current options:
% 3.62/1.12 ------
% 3.62/1.12
% 3.62/1.12
% 3.62/1.12
% 3.62/1.12
% 3.62/1.12 ------ Proving...
% 3.62/1.12
% 3.62/1.12
% 3.62/1.12 % SZS status Theorem for theBenchmark.p
% 3.62/1.12
% 3.62/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.62/1.12
% 3.62/1.12
%------------------------------------------------------------------------------