TSTP Solution File: LCL638+1.001 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:38:17 EDT 2024
% Result : Theorem 2.35s 1.22s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 5 unt; 0 def)
% Number of atoms : 456 ( 0 equ)
% Maximal formula atoms : 60 ( 8 avg)
% Number of connectives : 811 ( 406 ~; 303 |; 94 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-1 aty)
% Number of variables : 262 ( 0 sgn 187 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X3] :
( ~ ! [X4] :
( $false
| ~ r1(X3,X4) )
| ~ r1(X0,X3) )
| ~ ! [X5] :
( ~ ( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& ~ ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) )
| ~ ! [X9] :
( ~ ( ! [X10] :
( ~ ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) ) )
| ~ r1(X0,X9) )
| ~ ! [X15] :
( ~ ( p1(X15)
& ~ ! [X16] :
( ~ ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) ) )
| ~ r1(X0,X15) )
| ~ ! [X18] :
( ~ ( ~ p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X3] :
( ~ ! [X4] : ~ r1(X3,X4)
| ~ r1(X0,X3) )
| ~ ! [X5] :
( ~ ( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& ~ ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) )
| ~ ! [X9] :
( ~ ( ! [X10] :
( ~ ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) ) )
| ~ r1(X0,X9) )
| ~ ! [X15] :
( ~ ( p1(X15)
& ~ ! [X16] :
( ~ ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) ) )
| ~ r1(X0,X15) )
| ~ ! [X18] :
( ~ ( ~ p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X3] :
( ~ ! [X4] : ~ r1(X3,X4)
| ~ r1(X0,X3) )
| ~ ! [X5] :
( ~ ( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& ~ ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) )
| ~ ! [X9] :
( ~ ( ! [X10] :
( ~ ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
& ~ ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) ) )
| ~ r1(X0,X9) )
| ~ ! [X15] :
( ~ ( p1(X15)
& ~ ! [X16] :
( ~ ! [X17] :
( ~ p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) ) )
| ~ r1(X0,X15) )
| ~ ! [X18] :
( ~ ( ~ p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
& ! [X3] :
( ? [X4] : r1(X3,X4)
| ~ r1(X0,X3) )
& ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ r1(X0,X5) )
& ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) )
| ~ r1(X0,X9) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ! [X18] :
( p1(X18)
| ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
& ! [X3] :
( ? [X4] : r1(X3,X4)
| ~ r1(X0,X3) )
& ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ r1(X0,X5) )
& ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) )
| ~ r1(X0,X9) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ! [X18] :
( p1(X18)
| ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
& ! [X3] :
( ? [X4] : r1(X3,X4)
| ~ r1(X0,X3) )
& ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ r1(X0,X5) )
& ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) )
| ~ r1(X0,X9) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X0,X15) )
& ! [X18] :
( p1(X18)
| ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) )
=> ( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(sK0,X1) )
& ! [X3] :
( ? [X4] : r1(X3,X4)
| ~ r1(sK0,X3) )
& ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ r1(sK0,X5) )
& ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) )
| ~ r1(sK0,X9) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(sK0,X15) )
& ! [X18] :
( p1(X18)
| ! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(sK0,X1) )
=> ( ! [X2] :
( p1(X2)
| ~ r1(sK1,X2) )
& ~ p1(sK1)
& r1(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X3] :
( ? [X4] : r1(X3,X4)
=> r1(X3,sK2(X3)) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
=> ( ~ p1(sK3(X5))
& r1(X5,sK3(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
=> ( ! [X11] :
( ~ p1(X11)
| ~ r1(sK4(X9),X11) )
& r1(X9,sK4(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
=> ( p1(sK5(X13))
& r1(X13,sK5(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
=> ( p1(sK6(X16))
& r1(X16,sK6(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X19] :
( ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
=> ( ~ p1(sK7(X19))
& r1(X19,sK7(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ! [X2] :
( p1(X2)
| ~ r1(sK1,X2) )
& ~ p1(sK1)
& r1(sK0,sK1)
& ! [X3] :
( r1(X3,sK2(X3))
| ~ r1(sK0,X3) )
& ! [X5] :
( ( ~ p1(sK3(X5))
& r1(X5,sK3(X5)) )
| ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ r1(sK0,X5) )
& ! [X9] :
( ( ! [X11] :
( ~ p1(X11)
| ~ r1(sK4(X9),X11) )
& r1(X9,sK4(X9)) )
| ! [X12] :
( ! [X13] :
( ( p1(sK5(X13))
& r1(X13,sK5(X13)) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) )
| ~ r1(sK0,X9) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ( p1(sK6(X16))
& r1(X16,sK6(X16)) )
| ~ r1(X15,X16) )
| ~ r1(sK0,X15) )
& ! [X18] :
( p1(X18)
| ! [X19] :
( ( ~ p1(sK7(X19))
& r1(X19,sK7(X19)) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f17,plain,
! [X18,X19] :
( p1(X18)
| r1(X19,sK7(X19))
| ~ r1(X18,X19)
| ~ r1(sK0,X18) ),
inference(cnf_transformation,[],[f16]) ).
fof(f18,plain,
! [X18,X19] :
( p1(X18)
| ~ p1(sK7(X19))
| ~ r1(X18,X19)
| ~ r1(sK0,X18) ),
inference(cnf_transformation,[],[f16]) ).
fof(f25,plain,
! [X8,X7,X5] :
( r1(X5,sK3(X5))
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X5,X7)
| ~ r1(sK0,X5) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
! [X8,X7,X5] :
( ~ p1(sK3(X5))
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X5,X7)
| ~ r1(sK0,X5) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
! [X3] :
( r1(X3,sK2(X3))
| ~ r1(sK0,X3) ),
inference(cnf_transformation,[],[f16]) ).
fof(f28,plain,
r1(sK0,sK1),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
~ p1(sK1),
inference(cnf_transformation,[],[f16]) ).
fof(f30,plain,
! [X2] :
( p1(X2)
| ~ r1(sK1,X2) ),
inference(cnf_transformation,[],[f16]) ).
cnf(c_49,negated_conjecture,
( ~ r1(sK1,X0)
| p1(X0) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_50,negated_conjecture,
~ p1(sK1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_51,negated_conjecture,
r1(sK0,sK1),
inference(cnf_transformation,[],[f28]) ).
cnf(c_52,negated_conjecture,
( ~ r1(sK0,X0)
| r1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_53,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ p1(sK3(X0))
| ~ r1(sK0,X0)
| p1(X2) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_54,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK0,X0)
| r1(X0,sK3(X0))
| p1(X2) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_61,negated_conjecture,
( ~ r1(X0,X1)
| ~ p1(sK7(X1))
| ~ r1(sK0,X0)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_62,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| r1(X1,sK7(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
cnf(c_183,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| r1(X1,sK7(X1))
| p1(X0) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_184,negated_conjecture,
( ~ r1(X0,X1)
| ~ p1(sK7(X1))
| ~ r1(sK0,X0)
| p1(X0) ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_191,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK0,X0)
| r1(X0,sK3(X0))
| p1(X2) ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_192,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ p1(sK3(X0))
| ~ r1(sK0,X0)
| p1(X2) ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_193,negated_conjecture,
( ~ r1(sK0,X0)
| r1(X0,sK2(X0)) ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_196,negated_conjecture,
( ~ r1(sK1,X0)
| p1(X0) ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_197,plain,
( ~ r1(sK0,sK1)
| r1(sK1,sK2(sK1)) ),
inference(instantiation,[status(thm)],[c_193]) ).
cnf(c_198,plain,
( ~ r1(sK1,X0)
| ~ r1(sK0,sK1)
| r1(X0,sK7(X0))
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_202,plain,
( ~ r1(X0,X1)
| ~ r1(sK1,X0)
| ~ r1(sK0,sK1)
| r1(sK1,sK3(sK1))
| p1(X1) ),
inference(instantiation,[status(thm)],[c_191]) ).
cnf(c_206,plain,
( ~ r1(sK1,sK2(sK1))
| ~ r1(sK0,sK1)
| r1(sK2(sK1),sK7(sK2(sK1)))
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_210,plain,
( ~ r1(sK1,sK3(sK1))
| p1(sK3(sK1)) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_229,plain,
( ~ r1(sK2(sK1),X0)
| ~ r1(sK1,sK2(sK1))
| ~ r1(sK0,sK1)
| r1(sK1,sK3(sK1))
| p1(X0) ),
inference(instantiation,[status(thm)],[c_202]) ).
cnf(c_239,plain,
( ~ r1(sK2(sK1),sK7(sK2(sK1)))
| ~ r1(sK1,sK2(sK1))
| ~ r1(sK0,sK1)
| p1(sK7(sK2(sK1)))
| r1(sK1,sK3(sK1)) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_254,plain,
( ~ r1(X0,sK2(sK1))
| ~ p1(sK7(sK2(sK1)))
| ~ r1(sK0,X0)
| p1(X0) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_275,plain,
( ~ r1(X0,X1)
| ~ r1(sK1,X0)
| ~ p1(sK3(sK1))
| ~ r1(sK0,sK1)
| p1(X1) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_302,plain,
( ~ r1(sK2(sK1),X0)
| ~ r1(sK1,sK2(sK1))
| ~ p1(sK3(sK1))
| ~ r1(sK0,sK1)
| p1(X0) ),
inference(instantiation,[status(thm)],[c_275]) ).
cnf(c_352,plain,
( ~ r1(sK2(sK1),sK7(sK2(sK1)))
| ~ r1(sK1,sK2(sK1))
| ~ p1(sK3(sK1))
| ~ r1(sK0,sK1)
| p1(sK7(sK2(sK1))) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_450,plain,
( ~ p1(sK7(sK2(sK1)))
| ~ r1(sK1,sK2(sK1))
| ~ r1(sK0,sK1)
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_451,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_450,c_352,c_239,c_210,c_206,c_197,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 18:59:11 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 2.35/1.22 % SZS status Started for theBenchmark.p
% 2.35/1.22 % SZS status Theorem for theBenchmark.p
% 2.35/1.22
% 2.35/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.35/1.22
% 2.35/1.22 ------ iProver source info
% 2.35/1.22
% 2.35/1.22 git: date: 2024-05-02 19:28:25 +0000
% 2.35/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.35/1.22 git: non_committed_changes: false
% 2.35/1.22
% 2.35/1.22 ------ Parsing...
% 2.35/1.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.35/1.22
% 2.35/1.22 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.35/1.22
% 2.35/1.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.35/1.22 ------ Proving...
% 2.35/1.22 ------ Problem Properties
% 2.35/1.22
% 2.35/1.22
% 2.35/1.22 clauses 14
% 2.35/1.22 conjectures 14
% 2.35/1.22 EPR 3
% 2.35/1.22 Horn 10
% 2.35/1.22 unary 2
% 2.35/1.22 binary 2
% 2.35/1.22 lits 54
% 2.35/1.22 lits eq 0
% 2.35/1.22 fd_pure 0
% 2.35/1.22 fd_pseudo 0
% 2.35/1.22 fd_cond 0
% 2.35/1.22 fd_pseudo_cond 0
% 2.35/1.22 AC symbols 0
% 2.35/1.22
% 2.35/1.22 ------ Schedule dynamic 5 is on
% 2.35/1.22
% 2.35/1.22 ------ no equalities: superposition off
% 2.35/1.22
% 2.35/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.35/1.22
% 2.35/1.22
% 2.35/1.22 ------
% 2.35/1.22 Current options:
% 2.35/1.22 ------
% 2.35/1.22
% 2.35/1.22
% 2.35/1.22
% 2.35/1.22
% 2.35/1.22 ------ Proving...
% 2.35/1.22
% 2.35/1.22
% 2.35/1.22 % SZS status Theorem for theBenchmark.p
% 2.35/1.22
% 2.35/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.35/1.22
% 2.35/1.22
%------------------------------------------------------------------------------