TSTP Solution File: NUN066+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUN066+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 12:49:15 EDT 2023
% Result : Theorem 7.67s 1.67s
% Output : CNFRefutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 107 ( 14 unt; 0 def)
% Number of atoms : 329 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 375 ( 153 ~; 137 |; 75 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 240 ( 14 sgn; 109 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ id(X4,X3)
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& id(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,axiom,
! [X16,X17,X18] :
( ~ id(X17,X18)
| id(X16,X18)
| ~ id(X16,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
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/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) )
& ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f14,axiom,
! [X49,X50] :
( id(X49,X50)
| ! [X51] :
( ~ r2(X50,X51)
| ! [X52] :
( ~ r2(X49,X52)
| ~ id(X52,X51) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3a) ).
fof(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f19,conjecture,
? [X62] :
( ! [X40] :
( ~ r1(X40)
| ~ id(X62,X40) )
& ! [X45] :
( ~ id(X62,X45)
| ! [X46] :
( ~ r2(X46,X45)
| ! [X39] :
( ~ r2(X39,X46)
| ~ r1(X39) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexistid) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ! [X40] :
( ~ r1(X40)
| ~ id(X62,X40) )
& ! [X45] :
( ~ id(X62,X45)
| ! [X46] :
( ~ r2(X46,X45)
| ! [X39] :
( ~ r2(X39,X46)
| ~ r1(X39) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f21,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) ),
inference(rectify,[],[f2]) ).
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(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(f31,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( id(X0,X1)
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( ~ r2(X0,X3)
| ~ id(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f37,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f38,plain,
~ ? [X0] :
( ! [X1] :
( ~ r1(X1)
| ~ id(X0,X1) )
& ! [X2] :
( ~ id(X0,X2)
| ! [X3] :
( ~ r2(X3,X2)
| ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) ) ) ) ),
inference(rectify,[],[f20]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( r1(X1)
& id(X0,X1) )
| ? [X2] :
( id(X0,X2)
& ? [X3] :
( r2(X3,X2)
& ? [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(f42,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) )
=> ! [X2] :
( ( ~ id(X2,sK1(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK1(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X2] :
( ( ~ id(X2,sK1(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK1(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f42]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK4(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK4(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,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(f50,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK4(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK6(X0,X1))
& r2(X1,X5) )
& id(sK6(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,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(f52,plain,
! [X0,X1] :
( r3(X0,X1,sK5(X0,X1))
& r2(sK5(X0,X1),sK4(X0,X1))
& r3(X0,sK7(X0,X1),sK6(X0,X1))
& r2(X1,sK7(X0,X1))
& id(sK6(X0,X1),sK4(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f31,f51,f50,f49,f48]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( r1(X1)
& id(X0,X1) )
=> ( r1(sK20(X0))
& id(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X2] :
( id(X0,X2)
& ? [X3] :
( r2(X3,X2)
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) )
=> ( id(X0,sK21(X0))
& ? [X3] :
( r2(X3,sK21(X0))
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ? [X3] :
( r2(X3,sK21(X0))
& ? [X4] :
( r2(X4,X3)
& r1(X4) ) )
=> ( r2(sK22(X0),sK21(X0))
& ? [X4] :
( r2(X4,sK22(X0))
& r1(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0] :
( ? [X4] :
( r2(X4,sK22(X0))
& r1(X4) )
=> ( r2(sK23(X0),sK22(X0))
& r1(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ( r1(sK20(X0))
& id(X0,sK20(X0)) )
| ( id(X0,sK21(X0))
& r2(sK22(X0),sK21(X0))
& r2(sK23(X0),sK22(X0))
& r1(sK23(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23])],[f39,f71,f70,f69,f68]) ).
fof(f76,plain,
! [X1] :
( ~ id(X1,sK0)
| r1(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f77,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| id(X2,sK1(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f80,plain,
! [X2,X0] :
( ~ id(X2,sK1(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f89,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f90,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( r2(X2,X3)
| ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f109,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f132,plain,
! [X0] :
( id(X0,sK20(X0))
| r2(sK23(X0),sK22(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f133,plain,
! [X0] :
( id(X0,sK20(X0))
| r2(sK22(X0),sK21(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f134,plain,
! [X0] :
( id(X0,sK20(X0))
| id(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f136,plain,
! [X0] :
( r1(sK20(X0))
| r2(sK23(X0),sK22(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f137,plain,
! [X0] :
( r1(sK20(X0))
| r2(sK22(X0),sK21(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f138,plain,
! [X0] :
( r1(sK20(X0))
| id(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_49,plain,
( ~ id(X0,sK0)
| r1(X0) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_51,plain,
( ~ id(X0,sK1(X1))
| r2(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_52,plain,
( ~ r2(X0,X1)
| id(X1,sK1(X0)) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_57,plain,
id(X0,X0),
inference(cnf_transformation,[],[f89]) ).
cnf(c_58,plain,
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_59,plain,
( ~ id(X0,X1)
| ~ id(X2,X0)
| id(X2,X1) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_62,plain,
( ~ id(X0,X1)
| ~ id(X2,X3)
| ~ r2(X2,X0)
| r2(X3,X1) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_71,plain,
r2(X0,sK7(X1,X0)),
inference(cnf_transformation,[],[f109]) ).
cnf(c_78,plain,
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r2(X3,X0)
| id(X3,X2) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_90,plain,
( ~ id(X0,X1)
| ~ r2(X2,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_91,negated_conjecture,
( id(X0,sK21(X0))
| r1(sK20(X0)) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_92,negated_conjecture,
( r2(sK22(X0),sK21(X0))
| r1(sK20(X0)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_93,negated_conjecture,
( r2(sK23(X0),sK22(X0))
| r1(sK20(X0)) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_95,negated_conjecture,
( id(X0,sK20(X0))
| id(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_96,negated_conjecture,
( r2(sK22(X0),sK21(X0))
| id(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_97,negated_conjecture,
( r2(sK23(X0),sK22(X0))
| id(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_102,plain,
id(sK0,sK0),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_106,plain,
r2(sK0,sK7(sK0,sK0)),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_112,plain,
( ~ id(sK0,sK0)
| r1(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_569,plain,
( ~ id(X0,sK7(X1,X2))
| ~ r1(X0) ),
inference(resolution,[status(thm)],[c_90,c_71]) ).
cnf(c_613,plain,
( ~ id(sK1(X0),sK1(X0))
| r2(X0,sK1(X0)) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_614,plain,
id(sK1(X0),sK1(X0)),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_615,plain,
( ~ id(sK1(sK0),sK1(sK0))
| r2(sK0,sK1(sK0)) ),
inference(instantiation,[status(thm)],[c_613]) ).
cnf(c_616,plain,
id(sK1(sK0),sK1(sK0)),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_660,plain,
( ~ id(sK7(X0,X1),X2)
| ~ r1(X2) ),
inference(resolution,[status(thm)],[c_569,c_58]) ).
cnf(c_740,plain,
( ~ id(sK7(X0,X1),X2)
| ~ r2(X1,sK7(X0,X1))
| ~ id(X1,X3)
| r2(X3,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_799,plain,
( ~ id(sK7(X0,X1),X2)
| ~ r2(X1,sK7(X0,X1))
| ~ r2(X3,X2)
| id(X1,X3) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_942,plain,
( ~ id(X0,sK1(X1))
| ~ r2(X1,sK1(X1))
| ~ r1(X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1191,plain,
( ~ r2(X0,sK7(X1,X2))
| ~ r1(sK1(X0)) ),
inference(resolution,[status(thm)],[c_660,c_52]) ).
cnf(c_1693,plain,
( ~ id(sK7(X0,X1),sK20(sK7(X0,X1)))
| ~ r2(X1,sK7(X0,X1))
| ~ id(X1,X2)
| r2(X2,sK20(sK7(X0,X1))) ),
inference(instantiation,[status(thm)],[c_740]) ).
cnf(c_1695,plain,
( r2(sK22(sK7(X0,X1)),sK21(sK7(X0,X1)))
| id(sK7(X0,X1),sK20(sK7(X0,X1))) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_1696,plain,
( id(sK7(X0,X1),sK20(sK7(X0,X1)))
| id(sK7(X0,X1),sK21(sK7(X0,X1))) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_1698,plain,
( ~ id(sK7(sK0,sK0),sK20(sK7(sK0,sK0)))
| ~ r2(sK0,sK7(sK0,sK0))
| ~ id(sK0,sK0)
| r2(sK0,sK20(sK7(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_1693]) ).
cnf(c_1700,plain,
( id(sK7(sK0,sK0),sK20(sK7(sK0,sK0)))
| id(sK7(sK0,sK0),sK21(sK7(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_1696]) ).
cnf(c_1701,plain,
( r2(sK22(sK7(sK0,sK0)),sK21(sK7(sK0,sK0)))
| id(sK7(sK0,sK0),sK20(sK7(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_1695]) ).
cnf(c_2812,plain,
~ r1(sK1(X0)),
inference(resolution,[status(thm)],[c_1191,c_71]) ).
cnf(c_2816,plain,
~ id(sK1(X0),sK0),
inference(resolution,[status(thm)],[c_2812,c_49]) ).
cnf(c_2822,plain,
~ id(sK0,sK1(X0)),
inference(resolution,[status(thm)],[c_2816,c_58]) ).
cnf(c_2829,plain,
( ~ id(X0,sK1(X1))
| ~ id(sK0,X0) ),
inference(resolution,[status(thm)],[c_2822,c_59]) ).
cnf(c_3293,plain,
( ~ r2(X0,sK20(sK7(X1,X2)))
| id(sK20(sK7(X1,X2)),sK1(X0)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_3294,plain,
( ~ r2(sK0,sK20(sK7(sK0,sK0)))
| id(sK20(sK7(sK0,sK0)),sK1(sK0)) ),
inference(instantiation,[status(thm)],[c_3293]) ).
cnf(c_3640,plain,
( ~ r2(X0,X1)
| ~ id(sK0,X1) ),
inference(resolution,[status(thm)],[c_2829,c_52]) ).
cnf(c_3825,plain,
( ~ id(sK0,sK22(X0))
| id(X0,sK20(X0)) ),
inference(resolution,[status(thm)],[c_3640,c_97]) ).
cnf(c_5192,plain,
( ~ r2(sK22(sK7(X0,X1)),sK21(sK7(X0,X1)))
| ~ id(sK7(X2,X3),sK21(sK7(X0,X1)))
| ~ r2(X3,sK7(X2,X3))
| id(X3,sK22(sK7(X0,X1))) ),
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_5193,plain,
( ~ r2(sK22(sK7(sK0,sK0)),sK21(sK7(sK0,sK0)))
| ~ id(sK7(sK0,sK0),sK21(sK7(sK0,sK0)))
| ~ r2(sK0,sK7(sK0,sK0))
| id(sK0,sK22(sK7(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_5192]) ).
cnf(c_7354,plain,
( ~ id(sK0,sK22(sK7(X0,X1)))
| ~ r1(sK20(sK7(X0,X1))) ),
inference(resolution,[status(thm)],[c_3825,c_660]) ).
cnf(c_7355,plain,
( ~ id(sK0,sK22(sK7(sK0,sK0)))
| ~ r1(sK20(sK7(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_7354]) ).
cnf(c_11861,plain,
( ~ id(X0,sK22(X1))
| ~ r1(X0)
| r1(sK20(X1)) ),
inference(superposition,[status(thm)],[c_93,c_90]) ).
cnf(c_11936,plain,
( ~ id(X0,sK21(X1))
| ~ r2(X2,X0)
| id(X2,sK22(X1))
| r1(sK20(X1)) ),
inference(superposition,[status(thm)],[c_92,c_78]) ).
cnf(c_12420,plain,
( ~ r2(X0,X1)
| id(X0,sK22(X1))
| r1(sK20(X1)) ),
inference(superposition,[status(thm)],[c_91,c_11936]) ).
cnf(c_12479,plain,
( ~ r2(X0,X1)
| ~ r1(X0)
| r1(sK20(X1)) ),
inference(superposition,[status(thm)],[c_12420,c_11861]) ).
cnf(c_12552,plain,
( ~ r1(X0)
| r1(sK20(sK7(X1,X0))) ),
inference(superposition,[status(thm)],[c_71,c_12479]) ).
cnf(c_12574,plain,
( ~ r1(sK0)
| r1(sK20(sK7(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_12552]) ).
cnf(c_14973,plain,
( ~ id(sK20(sK7(X0,X1)),sK1(X2))
| ~ r1(sK20(sK7(X0,X1)))
| ~ r2(X2,sK1(X2)) ),
inference(instantiation,[status(thm)],[c_942]) ).
cnf(c_14980,plain,
( ~ id(sK20(sK7(sK0,sK0)),sK1(sK0))
| ~ r1(sK20(sK7(sK0,sK0)))
| ~ r2(sK0,sK1(sK0)) ),
inference(instantiation,[status(thm)],[c_14973]) ).
cnf(c_14981,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14980,c_12574,c_7355,c_5193,c_3294,c_1701,c_1700,c_1698,c_616,c_615,c_112,c_106,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN066+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n008.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 09:35:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.67/1.67 % SZS status Started for theBenchmark.p
% 7.67/1.67 % SZS status Theorem for theBenchmark.p
% 7.67/1.67
% 7.67/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.67/1.67
% 7.67/1.67 ------ iProver source info
% 7.67/1.67
% 7.67/1.67 git: date: 2023-05-31 18:12:56 +0000
% 7.67/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.67/1.67 git: non_committed_changes: false
% 7.67/1.67 git: last_make_outside_of_git: false
% 7.67/1.67
% 7.67/1.67 ------ Parsing...
% 7.67/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.67/1.67
% 7.67/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 7.67/1.67
% 7.67/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.67/1.67 ------ Proving...
% 7.67/1.67 ------ Problem Properties
% 7.67/1.67
% 7.67/1.67
% 7.67/1.67 clauses 50
% 7.67/1.67 conjectures 8
% 7.67/1.67 EPR 15
% 7.67/1.67 Horn 38
% 7.67/1.67 unary 18
% 7.67/1.67 binary 21
% 7.67/1.67 lits 104
% 7.67/1.67 lits eq 0
% 7.67/1.67 fd_pure 0
% 7.67/1.67 fd_pseudo 0
% 7.67/1.67 fd_cond 0
% 7.67/1.67 fd_pseudo_cond 0
% 7.67/1.67 AC symbols 0
% 7.67/1.67
% 7.67/1.67 ------ Input Options Time Limit: Unbounded
% 7.67/1.67
% 7.67/1.67
% 7.67/1.67 ------
% 7.67/1.67 Current options:
% 7.67/1.67 ------
% 7.67/1.67
% 7.67/1.67
% 7.67/1.67
% 7.67/1.67
% 7.67/1.67 ------ Proving...
% 7.67/1.67
% 7.67/1.67
% 7.67/1.67 % SZS status Theorem for theBenchmark.p
% 7.67/1.67
% 7.67/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.67/1.67
% 7.67/1.68
%------------------------------------------------------------------------------