TSTP Solution File: LCL654+1.001 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 07:46:47 EDT 2023
% Result : Theorem 2.53s 0.99s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 93 ( 15 unt; 0 def)
% Number of atoms : 644 ( 0 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 1077 ( 526 ~; 445 |; 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 : 341 ( 0 sgn; 196 !; 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(f21,plain,
! [X18,X19] :
( ~ p1(X18)
| p1(sK8(X19))
| ~ r1(X18,X19)
| ~ r1(sK0,X18) ),
inference(cnf_transformation,[],[f18]) ).
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_62,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK0,X0)
| ~ p1(X0)
| p1(sK8(X1)) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_178,plain,
( ~ r1(sK1,sK5(X0))
| p1(sK5(X0)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_183,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_191,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_202,plain,
( ~ r1(X0,sK2)
| ~ r1(sK2,X1)
| ~ r1(sK0,X0)
| ~ p1(sK7(X1))
| ~ r1(sK2,sK3)
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_206,plain,
( ~ r1(X0,sK2)
| ~ r1(sK2,X1)
| ~ r1(sK0,X0)
| ~ r1(sK2,sK3)
| r1(X1,sK7(X1))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_191]) ).
cnf(c_213,plain,
( ~ r1(X0,sK7(X1))
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| r1(X2,sK7(X2))
| p1(sK7(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_215,plain,
( ~ r1(X0,sK7(X1))
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK0,X3)
| ~ p1(sK7(X2))
| p1(sK7(X1)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_216,plain,
( ~ r1(sK6(X0),sK7(X1))
| ~ r1(X2,X0)
| ~ r1(X2,X3)
| ~ r1(sK0,X2)
| ~ p1(sK5(X3))
| p1(sK7(X1)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_227,plain,
r1(sK2,sK2),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_229,plain,
( ~ r1(sK2,X0)
| ~ p1(sK7(X0))
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1)
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_202]) ).
cnf(c_233,plain,
( ~ r1(sK2,X0)
| ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK0,sK1)
| r1(X0,sK7(X0))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_206]) ).
cnf(c_265,plain,
( ~ r1(X0,X1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| r1(X1,sK5(X1))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_279,plain,
( ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK2,sK2)
| ~ r1(sK0,sK1)
| r1(sK2,sK7(sK2))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_233]) ).
cnf(c_280,plain,
( ~ r1(sK1,sK2)
| ~ r1(sK2,sK3)
| ~ r1(sK2,sK2)
| ~ r1(sK0,sK1)
| ~ p1(sK7(sK2))
| p1(sK3) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_312,plain,
( ~ r1(sK1,X0)
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(X0,sK5(X0))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_265]) ).
cnf(c_318,plain,
( ~ r1(sK2,sK7(sK2))
| ~ r1(X0,sK2)
| ~ r1(sK2,X1)
| ~ r1(sK0,X0)
| r1(X1,sK7(X1))
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_213]) ).
cnf(c_335,plain,
( ~ r1(sK1,sK1)
| p1(sK1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_337,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_378,plain,
( ~ r1(sK1,X0)
| ~ p1(sK1)
| p1(sK8(X0)) ),
inference(superposition,[status(thm)],[c_54,c_62]) ).
cnf(c_423,plain,
( ~ r1(sK2,sK7(sK2))
| ~ r1(sK2,X0)
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(X0,sK7(X0))
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_318]) ).
cnf(c_473,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X2,X0)
| ~ r1(X2,sK1)
| ~ r1(sK0,X2)
| r1(sK1,sK5(sK1))
| p1(X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_574,plain,
( ~ r1(sK1,sK5(sK1))
| p1(sK5(sK1)) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_685,plain,
( ~ r1(sK6(X0),sK7(X1))
| ~ r1(X2,X0)
| ~ r1(X2,sK1)
| ~ r1(sK0,X2)
| r1(sK1,sK5(sK1))
| p1(sK7(X1)) ),
inference(instantiation,[status(thm)],[c_473]) ).
cnf(c_746,plain,
( ~ r1(sK6(X0),sK7(sK6(X0)))
| ~ r1(X1,X0)
| ~ r1(X1,X2)
| ~ r1(sK0,X1)
| ~ p1(sK5(X2))
| p1(sK7(sK6(X0))) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_1156,plain,
( ~ r1(X0,sK7(sK2))
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK0,X2)
| ~ p1(sK7(X1))
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_1181,plain,
( ~ r1(sK2,sK6(X0))
| ~ r1(sK2,sK7(sK2))
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(sK6(X0),sK7(sK6(X0)))
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_423]) ).
cnf(c_1189,plain,
( ~ r1(sK6(sK2),sK7(sK6(sK2)))
| ~ r1(X0,X1)
| ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| ~ p1(sK5(X1))
| p1(sK7(sK6(sK2))) ),
inference(instantiation,[status(thm)],[c_746]) ).
cnf(c_1709,plain,
( ~ r1(sK6(X0),sK7(sK6(sK2)))
| ~ r1(X1,X0)
| ~ r1(X1,sK1)
| ~ r1(sK0,X1)
| r1(sK1,sK5(sK1))
| p1(sK7(sK6(sK2))) ),
inference(instantiation,[status(thm)],[c_685]) ).
cnf(c_1780,plain,
( ~ r1(sK2,sK6(sK2))
| ~ r1(sK2,sK7(sK2))
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(sK6(sK2),sK7(sK6(sK2)))
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_1181]) ).
cnf(c_1781,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_1885,plain,
( ~ r1(sK6(sK2),sK7(sK6(sK2)))
| ~ r1(sK1,X0)
| ~ p1(sK5(X0))
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| p1(sK7(sK6(sK2))) ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_2055,plain,
( ~ r1(sK2,sK7(sK2))
| ~ r1(X0,sK2)
| ~ r1(sK2,X1)
| ~ r1(sK0,X0)
| ~ p1(sK7(X1))
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_1156]) ).
cnf(c_2436,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_1885]) ).
cnf(c_3127,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_1709]) ).
cnf(c_3483,plain,
( ~ r1(sK2,sK7(sK2))
| ~ r1(sK2,X0)
| ~ p1(sK7(X0))
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_2055]) ).
cnf(c_3985,plain,
( ~ r1(sK2,sK6(sK2))
| ~ r1(sK2,sK7(sK2))
| ~ p1(sK7(sK6(sK2)))
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| p1(sK7(sK2)) ),
inference(instantiation,[status(thm)],[c_3483]) ).
cnf(c_6656,plain,
( ~ r1(sK1,X0)
| ~ p1(sK1)
| p1(sK8(X0)) ),
inference(superposition,[status(thm)],[c_54,c_62]) ).
cnf(c_6728,plain,
( ~ r1(sK1,X0)
| ~ r1(sK1,X1)
| r1(X0,sK5(X0))
| r1(X1,sK6(X1)) ),
inference(superposition,[status(thm)],[c_54,c_59]) ).
cnf(c_6859,plain,
( ~ r1(sK1,X0)
| p1(sK8(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_6656,c_335,c_337,c_378]) ).
cnf(c_7561,plain,
( ~ r1(sK1,X0)
| ~ r1(sK1,sK1)
| r1(X0,sK5(X0))
| p1(sK8(sK6(sK1))) ),
inference(superposition,[status(thm)],[c_6728,c_6859]) ).
cnf(c_7603,plain,
( ~ r1(sK1,X0)
| r1(X0,sK5(X0))
| p1(sK8(sK6(sK1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7561,c_49]) ).
cnf(c_8487,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_3127]) ).
cnf(c_9443,plain,
( r1(X0,sK5(X0))
| ~ r1(sK1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7603,c_54,c_53,c_52,c_51,c_227,c_280,c_279,c_312,c_337,c_574,c_1780,c_2436,c_3985,c_8487]) ).
cnf(c_9444,plain,
( ~ r1(sK1,X0)
| r1(X0,sK5(X0)) ),
inference(renaming,[status(thm)],[c_9443]) ).
cnf(c_9451,plain,
( ~ r1(sK1,sK1)
| p1(sK5(sK1)) ),
inference(superposition,[status(thm)],[c_9444,c_50]) ).
cnf(c_9466,plain,
p1(sK5(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_9451,c_49]) ).
cnf(c_10552,plain,
( ~ r1(sK1,X0)
| ~ p1(sK5(X0))
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_1781]) ).
cnf(c_16697,plain,
( ~ r1(sK1,sK1)
| ~ r1(sK1,sK2)
| ~ r1(sK0,sK1)
| ~ p1(sK5(sK1))
| r1(sK2,sK6(sK2)) ),
inference(instantiation,[status(thm)],[c_10552]) ).
cnf(c_16698,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16697,c_9466,c_3985,c_2436,c_1780,c_337,c_279,c_280,c_227,c_51,c_52,c_53,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu Aug 24 20:09:57 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.53/0.99 % SZS status Started for theBenchmark.p
% 2.53/0.99 % SZS status Theorem for theBenchmark.p
% 2.53/0.99
% 2.53/0.99 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.53/0.99
% 2.53/0.99 ------ iProver source info
% 2.53/0.99
% 2.53/0.99 git: date: 2023-05-31 18:12:56 +0000
% 2.53/0.99 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.53/0.99 git: non_committed_changes: false
% 2.53/0.99 git: last_make_outside_of_git: false
% 2.53/0.99
% 2.53/0.99 ------ Parsing...
% 2.53/0.99 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.53/0.99
% 2.53/0.99 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.53/0.99
% 2.53/0.99 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.53/0.99 ------ Proving...
% 2.53/0.99 ------ Problem Properties
% 2.53/0.99
% 2.53/0.99
% 2.53/0.99 clauses 15
% 2.53/0.99 conjectures 14
% 2.53/0.99 EPR 6
% 2.53/0.99 Horn 12
% 2.53/0.99 unary 5
% 2.53/0.99 binary 2
% 2.53/0.99 lits 51
% 2.53/0.99 lits eq 0
% 2.53/0.99 fd_pure 0
% 2.53/0.99 fd_pseudo 0
% 2.53/0.99 fd_cond 0
% 2.53/0.99 fd_pseudo_cond 0
% 2.53/0.99 AC symbols 0
% 2.53/0.99
% 2.53/0.99 ------ Schedule dynamic 5 is on
% 2.53/0.99
% 2.53/0.99 ------ no equalities: superposition off
% 2.53/0.99
% 2.53/0.99 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.53/0.99
% 2.53/0.99
% 2.53/0.99 ------
% 2.53/0.99 Current options:
% 2.53/0.99 ------
% 2.53/0.99
% 2.53/0.99
% 2.53/0.99
% 2.53/0.99
% 2.53/0.99 ------ Proving...
% 2.53/0.99
% 2.53/0.99
% 2.53/0.99 % SZS status Theorem for theBenchmark.p
% 2.53/0.99
% 2.53/0.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.53/0.99
% 2.53/0.99
%------------------------------------------------------------------------------