TSTP Solution File: LCL654+1.001 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 : Fri May 3 02:38:34 EDT 2024
% Result : Theorem 0.49s 1.17s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 82 ( 13 unt; 0 def)
% Number of atoms : 600 ( 0 equ)
% Maximal formula atoms : 56 ( 7 avg)
% Number of connectives : 1028 ( 510 ~; 412 |; 97 &)
% ( 0 <=>; 9 =>; 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 : 9 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 323 ( 0 sgn 194 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ 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] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [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) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ 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] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [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) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ! [X6] :
( $false
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ~ ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ ! [X10] :
( ~ ! [X11] :
( ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X7,X10) ) )
| ~ r1(X0,X7) )
| ~ ! [X13] :
( ! [X14] :
( ~ ( ~ ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X14,X16) ) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ! [X18] :
( ~ ( p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ! [X6] : ~ r1(X5,X6)
| ~ r1(X0,X5) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ~ ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ ! [X10] :
( ~ ! [X11] :
( ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X7,X10) ) )
| ~ r1(X0,X7) )
| ~ ! [X13] :
( ! [X14] :
( ~ ( ~ ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X14,X16) ) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ! [X18] :
( ~ ( p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ! [X6] : ~ r1(X5,X6)
| ~ r1(X0,X5) )
| ~ ! [X7] :
( ~ ( ~ ! [X8] :
( ~ ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ ! [X10] :
( ~ ! [X11] :
( ~ ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X7,X10) ) )
| ~ r1(X0,X7) )
| ~ ! [X13] :
( ! [X14] :
( ~ ( ~ ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
& ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X14,X16) ) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ! [X18] :
( ~ ( p1(X18)
& ~ ! [X19] :
( ~ ! [X20] :
( ~ p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) ) )
| ~ r1(X0,X18) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(X0,X1) )
& ! [X5] :
( ? [X6] : r1(X5,X6)
| ~ r1(X0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(X0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(X0,X1) )
& ! [X5] :
( ? [X6] : r1(X5,X6)
| ~ r1(X0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(X0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(X0,X1) )
& ! [X5] :
( ? [X6] : r1(X5,X6)
| ~ r1(X0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(X0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X0,X18) ) )
=> ( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(sK0,X1) )
& ! [X5] :
( ? [X6] : r1(X5,X6)
| ~ r1(sK0,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ r1(sK0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(sK0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(sK0,X1) )
=> ( ! [X2] :
( p1(X2)
| ~ r1(sK1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(sK1,X3) )
& r1(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(sK1,X3) )
=> ( ? [X4] :
( ~ p1(X4)
& r1(sK2,X4) )
& r1(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X4] :
( ~ p1(X4)
& r1(sK2,X4) )
=> ( ~ p1(sK3)
& r1(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X5] :
( ? [X6] : r1(X5,X6)
=> r1(X5,sK4(X5)) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
=> ( ~ p1(sK5(X8))
& r1(X8,sK5(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
=> ( ! [X12] :
( p1(X12)
| ~ r1(sK6(X10),X12) )
& r1(X10,sK6(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
=> ( ~ p1(sK7(X16))
& r1(X16,sK7(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X19] :
( ? [X20] :
( p1(X20)
& r1(X19,X20) )
=> ( p1(sK8(X19))
& r1(X19,sK8(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ! [X2] :
( p1(X2)
| ~ r1(sK1,X2) )
& ~ p1(sK3)
& r1(sK2,sK3)
& r1(sK1,sK2)
& r1(sK0,sK1)
& ! [X5] :
( r1(X5,sK4(X5))
| ~ r1(sK0,X5) )
& ! [X7] :
( ! [X8] :
( ( ~ p1(sK5(X8))
& r1(X8,sK5(X8)) )
| ~ r1(X7,X8) )
| ! [X10] :
( ( ! [X12] :
( p1(X12)
| ~ r1(sK6(X10),X12) )
& r1(X10,sK6(X10)) )
| ~ r1(X7,X10) )
| ~ r1(sK0,X7) )
& ! [X13] :
( ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ! [X16] :
( ( ~ p1(sK7(X16))
& r1(X16,sK7(X16)) )
| ~ r1(X14,X16) )
| ~ r1(X13,X14) )
| ~ r1(sK0,X13) )
& ! [X18] :
( ~ p1(X18)
| ! [X19] :
( ( p1(sK8(X19))
& r1(X19,sK8(X19)) )
| ~ r1(X18,X19) )
| ~ r1(sK0,X18) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f8,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f19,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X16,X14,X15,X13] :
( p1(X15)
| ~ r1(X14,X15)
| r1(X16,sK7(X16))
| ~ r1(X14,X16)
| ~ r1(X13,X14)
| ~ r1(sK0,X13) ),
inference(cnf_transformation,[],[f18]) ).
fof(f23,plain,
! [X16,X14,X15,X13] :
( p1(X15)
| ~ r1(X14,X15)
| ~ p1(sK7(X16))
| ~ r1(X14,X16)
| ~ r1(X13,X14)
| ~ r1(sK0,X13) ),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
! [X10,X8,X7] :
( r1(X8,sK5(X8))
| ~ r1(X7,X8)
| r1(X10,sK6(X10))
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
! [X10,X8,X7,X12] :
( r1(X8,sK5(X8))
| ~ r1(X7,X8)
| p1(X12)
| ~ r1(sK6(X10),X12)
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
! [X10,X8,X7] :
( ~ p1(sK5(X8))
| ~ r1(X7,X8)
| r1(X10,sK6(X10))
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X10,X8,X7,X12] :
( ~ p1(sK5(X8))
| ~ r1(X7,X8)
| p1(X12)
| ~ r1(sK6(X10),X12)
| ~ r1(X7,X10)
| ~ r1(sK0,X7) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
r1(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
r1(sK1,sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
r1(sK2,sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
~ p1(sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X2] :
( p1(X2)
| ~ r1(sK1,X2) ),
inference(cnf_transformation,[],[f18]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,negated_conjecture,
( ~ r1(sK1,X0)
| p1(X0) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_51,negated_conjecture,
~ p1(sK3),
inference(cnf_transformation,[],[f32]) ).
cnf(c_52,negated_conjecture,
r1(sK2,sK3),
inference(cnf_transformation,[],[f31]) ).
cnf(c_53,negated_conjecture,
r1(sK1,sK2),
inference(cnf_transformation,[],[f30]) ).
cnf(c_54,negated_conjecture,
r1(sK0,sK1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_56,negated_conjecture,
( ~ r1(sK6(X0),X1)
| ~ r1(X2,X0)
| ~ r1(X2,X3)
| ~ r1(sK0,X2)
| ~ p1(sK5(X3))
| p1(X1) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(sK0,X0)
| ~ p1(sK5(X1))
| r1(X2,sK6(X2)) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_58,negated_conjecture,
( ~ r1(sK6(X0),X1)
| ~ r1(X2,X0)
| ~ r1(X2,X3)
| ~ r1(sK0,X2)
| r1(X3,sK5(X3))
| p1(X1) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_59,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(sK0,X0)
| r1(X1,sK5(X1))
| r1(X2,sK6(X2)) ),
inference(cnf_transformation,[],[f24]) ).
cnf(c_60,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ p1(sK7(X2))
| p1(X1) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_61,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| r1(X2,sK7(X2))
| p1(X1) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_212,plain,
( ~ r1(sK6(X0),sK3)
| ~ r1(X1,X0)
| ~ r1(X1,X2)
| ~ r1(sK0,X1)
| ~ p1(sK5(X2)) ),
inference(resolution,[status(thm)],[c_56,c_51]) ).
cnf(c_265,plain,
( ~ r1(sK6(sK2),sK3)
| ~ r1(sK1,X0)
| ~ p1(sK5(X0))
| ~ r1(sK0,sK1) ),
inference(resolution,[status(thm)],[c_212,c_53]) ).
cnf(c_267,plain,
( ~ p1(sK5(X0))
| ~ r1(sK1,X0)
| ~ r1(sK6(sK2),sK3) ),
inference(global_subsumption_just,[status(thm)],[c_265,c_54,c_265]) ).
cnf(c_268,plain,
( ~ r1(sK6(sK2),sK3)
| ~ r1(sK1,X0)
| ~ p1(sK5(X0)) ),
inference(renaming,[status(thm)],[c_267]) ).
cnf(c_283,plain,
( ~ r1(sK1,sK5(X0))
| p1(sK5(X0)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_288,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X0,sK3)
| ~ r1(sK0,X2)
| r1(X1,sK7(X1))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_322,plain,
( ~ r1(X0,sK2)
| ~ r1(sK2,X1)
| ~ r1(sK0,X0)
| ~ r1(sK2,sK3)
| r1(X1,sK7(X1))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_328,plain,
( ~ r1(sK6(X0),sK7(sK6(X0)))
| ~ r1(X1,X0)
| ~ r1(X1,X2)
| ~ r1(sK0,X1)
| r1(X2,sK5(X2))
| p1(sK7(sK6(X0))) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_360,plain,
( ~ r1(X0,X1)
| ~ r1(X0,sK1)
| ~ r1(sK0,X0)
| r1(X1,sK6(X1))
| r1(sK1,sK5(sK1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_361,plain,
( ~ r1(sK1,sK5(sK1))
| p1(sK5(sK1)) ),
inference(instantiation,[status(thm)],[c_283]) ).
cnf(c_400,plain,
( ~ r1(sK2,X0)
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1)
| r1(X0,sK7(X0))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_536,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_705,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X2,X0)
| ~ r1(X2,sK1)
| ~ r1(sK0,X2)
| ~ p1(sK5(sK1))
| p1(X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_707,plain,
( ~ r1(X0,X1)
| ~ r1(X0,sK1)
| ~ r1(sK0,X0)
| ~ p1(sK5(sK1))
| r1(X1,sK6(X1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_887,plain,
( ~ r1(sK6(X0),sK7(sK6(X1)))
| ~ r1(X2,X0)
| ~ r1(X2,sK1)
| ~ r1(sK0,X2)
| ~ p1(sK5(sK1))
| p1(sK7(sK6(X1))) ),
inference(instantiation,[status(thm)],[c_705]) ).
cnf(c_923,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X0,sK3)
| ~ r1(sK0,X2)
| ~ p1(sK7(X1))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_1018,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X0,sK3)
| ~ r1(sK0,X2)
| ~ p1(sK7(X1)) ),
inference(resolution,[status(thm)],[c_60,c_51]) ).
cnf(c_1064,plain,
( ~ r1(sK2,X0)
| ~ p1(sK7(X0))
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1) ),
inference(resolution,[status(thm)],[c_1018,c_53]) ).
cnf(c_1066,plain,
( ~ r1(sK2,X0)
| ~ p1(sK7(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1064,c_54,c_52,c_1064]) ).
cnf(c_1150,plain,
( ~ r1(X0,sK2)
| ~ r1(sK2,X1)
| ~ r1(sK0,X0)
| ~ p1(sK7(X1))
| ~ r1(sK2,sK3)
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_923]) ).
cnf(c_1158,plain,
( ~ r1(sK2,sK6(X0))
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1)
| r1(sK6(X0),sK7(sK6(X0)))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_1203,plain,
( ~ r1(sK6(X0),sK7(sK6(X0)))
| ~ r1(X1,X0)
| ~ r1(X1,sK1)
| ~ r1(sK0,X1)
| p1(sK7(sK6(X0)))
| r1(sK1,sK5(sK1)) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_1228,plain,
( ~ p1(sK7(sK6(sK2)))
| ~ r1(X0,X1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| r1(X1,sK5(X1)) ),
inference(resolution,[status(thm)],[c_1066,c_59]) ).
cnf(c_1390,plain,
( ~ r1(sK2,X0)
| ~ p1(sK7(X0))
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1)
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_1150]) ).
cnf(c_1460,plain,
( ~ r1(sK2,sK6(sK2))
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1)
| r1(sK6(sK2),sK7(sK6(sK2)))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_1158]) ).
cnf(c_1462,plain,
( ~ r1(X0,X1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| ~ p1(sK5(X1))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1556,plain,
( ~ r1(sK6(sK2),sK7(sK6(sK2)))
| ~ r1(X0,sK1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| r1(sK1,sK5(sK1))
| p1(sK7(sK6(sK2))) ),
inference(instantiation,[status(thm)],[c_1203]) ).
cnf(c_1563,plain,
( ~ r1(sK6(sK2),sK7(sK6(sK2)))
| ~ r1(X0,sK1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| ~ p1(sK5(sK1))
| p1(sK7(sK6(sK2))) ),
inference(instantiation,[status(thm)],[c_887]) ).
cnf(c_1623,plain,
( ~ r1(sK2,sK6(sK2))
| ~ p1(sK7(sK6(sK2)))
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1)
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_1390]) ).
cnf(c_1624,plain,
( ~ r1(X0,sK1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| r1(sK1,sK5(sK1))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_360]) ).
cnf(c_1626,plain,
( ~ r1(X0,sK1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| ~ p1(sK5(sK1))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_707]) ).
cnf(c_1727,plain,
( ~ r1(sK1,X0)
| ~ p1(sK5(X0))
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_1462]) ).
cnf(c_1893,plain,
( ~ r1(sK6(sK2),sK3)
| ~ p1(sK5(sK5(sK1)))
| ~ p1(sK7(sK6(sK2)))
| ~ r1(X0,sK1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0) ),
inference(resolution,[status(thm)],[c_1228,c_268]) ).
cnf(c_1895,plain,
( ~ p1(sK7(sK6(sK2)))
| ~ r1(X0,sK1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1893,c_54,c_53,c_52,c_51,c_361,c_1623,c_1626,c_1624]) ).
cnf(c_2055,plain,
( ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| ~ p1(sK5(sK1))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_1727]) ).
cnf(c_2113,plain,
( ~ p1(sK7(sK6(sK2)))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK2) ),
inference(resolution,[status(thm)],[c_1895,c_54]) ).
cnf(c_2330,plain,
( ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(sK1,sK5(sK1))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_1624]) ).
cnf(c_2338,plain,
( ~ r1(sK6(sK2),sK7(sK6(sK2)))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(sK1,sK5(sK1))
| p1(sK7(sK6(sK2))) ),
inference(instantiation,[status(thm)],[c_1556]) ).
cnf(c_2342,plain,
( ~ r1(sK6(sK2),sK7(sK6(sK2)))
| ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| ~ p1(sK5(sK1))
| p1(sK7(sK6(sK2))) ),
inference(instantiation,[status(thm)],[c_1563]) ).
cnf(c_2497,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2342,c_2338,c_2330,c_2113,c_2055,c_1460,c_536,c_361,c_51,c_52,c_53,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % 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 : Thu May 2 19:02:57 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.17 % SZS status Started for theBenchmark.p
% 0.49/1.17 % SZS status Theorem for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17
% 0.49/1.17 ------ iProver source info
% 0.49/1.17
% 0.49/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.17 git: non_committed_changes: false
% 0.49/1.17
% 0.49/1.17 ------ Parsing...
% 0.49/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.17 ------ Proving...
% 0.49/1.17 ------ Problem Properties
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 clauses 15
% 0.49/1.17 conjectures 14
% 0.49/1.17 EPR 6
% 0.49/1.17 Horn 12
% 0.49/1.17 unary 5
% 0.49/1.17 binary 2
% 0.49/1.17 lits 51
% 0.49/1.17 lits eq 0
% 0.49/1.17 fd_pure 0
% 0.49/1.17 fd_pseudo 0
% 0.49/1.17 fd_cond 0
% 0.49/1.17 fd_pseudo_cond 0
% 0.49/1.17 AC symbols 0
% 0.49/1.17
% 0.49/1.17 ------ Input Options Time Limit: Unbounded
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------
% 0.49/1.17 Current options:
% 0.49/1.17 ------
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------ Proving...
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 % SZS status Theorem for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17
% 0.49/1.17
%------------------------------------------------------------------------------