TSTP Solution File: NUN054+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 : Mon Jun 24 13:30:44 EDT 2024
% Result : Theorem 0.49s 1.15s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 30 unt; 0 def)
% Number of atoms : 314 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 360 ( 145 ~; 123 |; 84 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 249 ( 2 sgn 114 !; 51 ?)
% 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(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(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(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(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/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
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(f19,conjecture,
? [X62] :
( ? [X46] :
( ? [X48] :
( r2(X48,X46)
& r1(X48) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r3(X39,X45,X62)
& r1(X39) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplusoneidone) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ? [X46] :
( ? [X48] :
( r2(X48,X46)
& r1(X48) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r3(X39,X45,X62)
& r1(X39) ) ) ),
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(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(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(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(f34,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f38,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( r2(X2,X1)
& r1(X2) )
& id(X0,X1) )
& ? [X3] :
( ? [X4] :
( r2(X4,X3)
& r1(X4) )
& ? [X5] :
( r3(X5,X3,X0)
& r1(X5) ) ) ),
inference(rectify,[],[f20]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) )
| ~ id(X0,X1) )
| ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ r1(X4) )
| ! [X5] :
( ~ r3(X5,X3,X0)
| ~ r1(X5) ) ) ),
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(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(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(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(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(f92,plain,
! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
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(f103,plain,
! [X0,X1] : id(sK6(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
! [X0,X1] : r2(X1,sK7(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f105,plain,
! [X0,X1] : r3(X0,sK7(X0,X1),sK6(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f106,plain,
! [X0,X1] : r2(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f107,plain,
! [X0,X1] : r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
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(f126,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X2,X1)
| ~ r1(X2)
| ~ id(X0,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ r3(X5,X3,X0)
| ~ r1(X5) ),
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_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_63,plain,
( ~ id(X0,X1)
| ~ id(X2,X3)
| ~ r2(X3,X1)
| r2(X2,X0) ),
inference(cnf_transformation,[],[f92]) ).
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_68,plain,
r3(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f107]) ).
cnf(c_69,plain,
r2(sK5(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f106]) ).
cnf(c_70,plain,
r3(X0,sK7(X0,X1),sK6(X0,X1)),
inference(cnf_transformation,[],[f105]) ).
cnf(c_71,plain,
r2(X0,sK7(X1,X0)),
inference(cnf_transformation,[],[f104]) ).
cnf(c_72,plain,
id(sK6(X0,X1),sK4(X0,X1)),
inference(cnf_transformation,[],[f103]) ).
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_91,negated_conjecture,
( ~ r3(X0,X1,X2)
| ~ id(X2,X3)
| ~ r2(X4,X3)
| ~ r2(X5,X1)
| ~ r1(X0)
| ~ r1(X4)
| ~ r1(X5) ),
inference(cnf_transformation,[],[f126]) ).
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_99,plain,
r2(sK0,sK7(sK0,sK0)),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_101,plain,
r3(sK0,sK13(sK0),sK12(sK0)),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_103,plain,
r3(sK0,sK0,sK5(sK0,sK0)),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_104,plain,
( ~ id(sK0,sK0)
| r1(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_108,plain,
r2(sK5(sK0,sK0),sK4(sK0,sK0)),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_119,plain,
( ~ r3(sK0,sK0,sK0)
| id(sK0,sK2(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_426,negated_conjecture,
( ~ r3(X0,X1,X2)
| ~ id(X2,X3)
| ~ r2(X4,X3)
| ~ r2(X5,X1)
| ~ r1(X0)
| ~ r1(X4)
| ~ r1(X5) ),
inference(demodulation,[status(thm)],[c_91]) ).
cnf(c_465,plain,
( ~ r3(X0,X1,sK5(X0,X1))
| id(sK5(X0,X1),sK2(X0,X1)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_466,plain,
( ~ r3(sK0,sK0,sK5(sK0,sK0))
| id(sK5(sK0,sK0),sK2(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_496,plain,
( ~ r2(sK5(X0,X1),sK4(X0,X1))
| ~ id(X2,sK4(X0,X1))
| ~ id(X3,sK5(X0,X1))
| r2(X3,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_513,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_514,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_513]) ).
cnf(c_602,plain,
( ~ id(X0,sK2(X1,X2))
| id(sK2(X1,X2),X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_603,plain,
( ~ id(sK0,sK2(sK0,sK0))
| id(sK2(sK0,sK0),sK0) ),
inference(instantiation,[status(thm)],[c_602]) ).
cnf(c_675,plain,
id(sK4(X0,X1),sK4(X0,X1)),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_677,plain,
id(sK4(sK0,sK0),sK4(sK0,sK0)),
inference(instantiation,[status(thm)],[c_675]) ).
cnf(c_859,plain,
( ~ id(sK5(X0,X1),X2)
| ~ id(X2,X3)
| id(sK5(X0,X1),X3) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_972,plain,
( ~ r1(sK13(X0))
| id(sK13(X0),sK0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_973,plain,
( ~ r1(sK13(sK0))
| id(sK13(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_972]) ).
cnf(c_1244,plain,
( ~ id(sK5(X0,X1),X2)
| id(X2,sK5(X0,X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1245,plain,
( ~ id(sK5(sK0,sK0),sK0)
| id(sK0,sK5(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1811,plain,
( ~ id(sK6(X0,X1),X2)
| ~ r2(X3,sK7(X0,X1))
| ~ r2(X4,X2)
| ~ r1(X0)
| ~ r1(X3)
| ~ r1(X4) ),
inference(superposition,[status(thm)],[c_70,c_426]) ).
cnf(c_1984,plain,
( ~ id(sK4(X0,X1),sK4(X0,X1))
| ~ r2(sK5(X0,X1),sK4(X0,X1))
| ~ id(X2,sK5(X0,X1))
| r2(X2,sK4(X0,X1)) ),
inference(instantiation,[status(thm)],[c_496]) ).
cnf(c_1986,plain,
( ~ id(sK4(sK0,sK0),sK4(sK0,sK0))
| ~ r2(sK5(sK0,sK0),sK4(sK0,sK0))
| ~ id(sK0,sK5(sK0,sK0))
| r2(sK0,sK4(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_1984]) ).
cnf(c_2094,plain,
( ~ r2(X0,sK7(X1,X2))
| ~ r2(X3,sK4(X1,X2))
| ~ r1(X0)
| ~ r1(X1)
| ~ r1(X3) ),
inference(superposition,[status(thm)],[c_72,c_1811]) ).
cnf(c_2137,plain,
( ~ r2(sK0,sK4(sK0,sK0))
| ~ r2(sK0,sK7(sK0,sK0))
| ~ r1(sK0) ),
inference(instantiation,[status(thm)],[c_2094]) ).
cnf(c_4258,plain,
( ~ id(sK5(X0,X1),sK2(X0,X1))
| ~ id(sK2(X0,X1),X2)
| id(sK5(X0,X1),X2) ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_4259,plain,
( ~ id(sK5(sK0,sK0),sK2(sK0,sK0))
| ~ id(sK2(sK0,sK0),sK0)
| id(sK5(sK0,sK0),sK0) ),
inference(instantiation,[status(thm)],[c_4258]) ).
cnf(c_4260,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4259,c_2137,c_1986,c_1245,c_973,c_677,c_603,c_514,c_466,c_119,c_108,c_104,c_103,c_101,c_99,c_96,c_95,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUN054+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n028.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Jun 18 21:08:39 EDT 2024
% 0.17/0.32 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 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
% 0.49/1.15 % SZS status Started for theBenchmark.p
% 0.49/1.15 % SZS status Theorem for theBenchmark.p
% 0.49/1.15
% 0.49/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.15
% 0.49/1.15 ------ iProver source info
% 0.49/1.15
% 0.49/1.15 git: date: 2024-06-12 09:56:46 +0000
% 0.49/1.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.49/1.15 git: non_committed_changes: false
% 0.49/1.15
% 0.49/1.15 ------ Parsing...
% 0.49/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.15
% 0.49/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.15
% 0.49/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.15 ------ Proving...
% 0.49/1.15 ------ Problem Properties
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 clauses 43
% 0.49/1.15 conjectures 1
% 0.49/1.15 EPR 16
% 0.49/1.15 Horn 39
% 0.49/1.15 unary 18
% 0.49/1.15 binary 13
% 0.49/1.15 lits 95
% 0.49/1.15 lits eq 0
% 0.49/1.15 fd_pure 0
% 0.49/1.15 fd_pseudo 0
% 0.49/1.15 fd_cond 0
% 0.49/1.15 fd_pseudo_cond 0
% 0.49/1.15 AC symbols 0
% 0.49/1.15
% 0.49/1.15 ------ Schedule dynamic 5 is on
% 0.49/1.15
% 0.49/1.15 ------ no equalities: superposition off
% 0.49/1.15
% 0.49/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 ------
% 0.49/1.15 Current options:
% 0.49/1.15 ------
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 ------ Proving...
% 0.49/1.15
% 0.49/1.15
% 0.49/1.15 % SZS status Theorem for theBenchmark.p
% 0.49/1.15
% 0.49/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.15
% 0.49/1.16
%------------------------------------------------------------------------------