TSTP Solution File: LCL654+1.001 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Tue Apr 30 13:47:19 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 58 ( 12 unt; 0 def)
% Number of atoms : 474 ( 0 equ)
% Maximal formula atoms : 50 ( 8 avg)
% Number of connectives : 810 ( 394 ~; 287 |; 120 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 300 ( 229 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f822,plain,
$false,
inference(subsumption_resolution,[],[f821,f180]) ).
fof(f180,plain,
sP0(sK3),
inference(subsumption_resolution,[],[f173,f77]) ).
fof(f77,plain,
( ~ p1(sK7(sK3))
| sP0(sK3) ),
inference(resolution,[],[f65,f34]) ).
fof(f34,plain,
r1(sK2,sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ! [X2] :
( p1(X2)
| ~ r1(sK3,X2) )
& ~ p1(sK5)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& ! [X5] :
( r1(X5,sK6(X5))
| ~ r1(sK2,X5) )
& ! [X7] :
( ! [X8] :
( ( ~ p1(sK7(X8))
& r1(X8,sK7(X8)) )
| ~ r1(X7,X8) )
| sP0(X7)
| ~ r1(sK2,X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ! [X13] :
( ( ~ p1(sK8(X13))
& r1(X13,sK8(X13)) )
| ~ r1(X11,X13) )
| ~ r1(X10,X11) )
| ~ r1(sK2,X10) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ( p1(sK9(X16))
& r1(X16,sK9(X16)) )
| ~ r1(X15,X16) )
| ~ r1(sK2,X15) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f15,f23,f22,f21,f20,f19,f18,f17,f16]) ).
fof(f16,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) )
| sP0(X7)
| ~ r1(X0,X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X11,X13) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X0,X15) ) )
=> ( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(sK2,X1) )
& ! [X5] :
( ? [X6] : r1(X5,X6)
| ~ r1(sK2,X5) )
& ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
| ~ r1(X7,X8) )
| sP0(X7)
| ~ r1(sK2,X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X11,X13) )
| ~ r1(X10,X11) )
| ~ r1(sK2,X10) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(sK2,X15) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X1,X3) )
& r1(sK2,X1) )
=> ( ! [X2] :
( p1(X2)
| ~ r1(sK3,X2) )
& ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(sK3,X3) )
& r1(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(sK3,X3) )
=> ( ? [X4] :
( ~ p1(X4)
& r1(sK4,X4) )
& r1(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X4] :
( ~ p1(X4)
& r1(sK4,X4) )
=> ( ~ p1(sK5)
& r1(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X5] :
( ? [X6] : r1(X5,X6)
=> r1(X5,sK6(X5)) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
=> ( ~ p1(sK7(X8))
& r1(X8,sK7(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
=> ( ~ p1(sK8(X13))
& r1(X13,sK8(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
=> ( p1(sK9(X16))
& r1(X16,sK9(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,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) )
| sP0(X7)
| ~ r1(X0,X7) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X11,X13) )
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ! [X15] :
( ~ p1(X15)
| ! [X16] :
( ? [X17] :
( p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X0,X15) ) ),
inference(rectify,[],[f10]) ).
fof(f10,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) )
| sP0(X7)
| ~ 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(definition_folding,[],[f8,f9]) ).
fof(f9,plain,
! [X7] :
( ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ sP0(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
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(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(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(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(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(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(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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f65,plain,
! [X0] :
( ~ r1(sK2,X0)
| sP0(X0)
| ~ p1(sK7(X0)) ),
inference(resolution,[],[f32,f39]) ).
fof(f39,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f32,plain,
! [X8,X7] :
( ~ r1(X7,X8)
| ~ p1(sK7(X8))
| sP0(X7)
| ~ r1(sK2,X7) ),
inference(cnf_transformation,[],[f24]) ).
fof(f173,plain,
( sP0(sK3)
| p1(sK7(sK3)) ),
inference(resolution,[],[f170,f38]) ).
fof(f38,plain,
! [X2] :
( ~ r1(sK3,X2)
| p1(X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f170,plain,
( r1(sK3,sK7(sK3))
| sP0(sK3) ),
inference(resolution,[],[f109,f34]) ).
fof(f109,plain,
! [X0] :
( ~ r1(sK2,X0)
| sP0(X0)
| r1(X0,sK7(X0)) ),
inference(resolution,[],[f31,f39]) ).
fof(f31,plain,
! [X8,X7] :
( ~ r1(X7,X8)
| r1(X8,sK7(X8))
| sP0(X7)
| ~ r1(sK2,X7) ),
inference(cnf_transformation,[],[f24]) ).
fof(f821,plain,
~ sP0(sK3),
inference(resolution,[],[f814,f35]) ).
fof(f35,plain,
r1(sK3,sK4),
inference(cnf_transformation,[],[f24]) ).
fof(f814,plain,
! [X0] :
( ~ r1(X0,sK4)
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f802,f398]) ).
fof(f398,plain,
~ p1(sK8(sK1(sK4))),
inference(subsumption_resolution,[],[f397,f34]) ).
fof(f397,plain,
( ~ p1(sK8(sK1(sK4)))
| ~ r1(sK2,sK3) ),
inference(resolution,[],[f321,f35]) ).
fof(f321,plain,
! [X0] :
( ~ r1(X0,sK4)
| ~ p1(sK8(sK1(sK4)))
| ~ r1(sK2,X0) ),
inference(resolution,[],[f304,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ~ r1(sK4,X0)
| ~ p1(sK8(X0))
| ~ r1(X1,sK4)
| ~ r1(sK2,X1) ),
inference(subsumption_resolution,[],[f195,f37]) ).
fof(f37,plain,
~ p1(sK5),
inference(cnf_transformation,[],[f24]) ).
fof(f195,plain,
! [X0,X1] :
( p1(sK5)
| ~ p1(sK8(X0))
| ~ r1(sK4,X0)
| ~ r1(X1,sK4)
| ~ r1(sK2,X1) ),
inference(resolution,[],[f30,f36]) ).
fof(f36,plain,
r1(sK4,sK5),
inference(cnf_transformation,[],[f24]) ).
fof(f30,plain,
! [X10,X11,X12,X13] :
( ~ r1(X11,X12)
| p1(X12)
| ~ p1(sK8(X13))
| ~ r1(X11,X13)
| ~ r1(X10,X11)
| ~ r1(sK2,X10) ),
inference(cnf_transformation,[],[f24]) ).
fof(f304,plain,
r1(sK4,sK1(sK4)),
inference(subsumption_resolution,[],[f285,f180]) ).
fof(f285,plain,
( r1(sK4,sK1(sK4))
| ~ sP0(sK3) ),
inference(resolution,[],[f25,f35]) ).
fof(f25,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK1(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ( ! [X3] :
( p1(X3)
| ~ r1(sK1(X1),X3) )
& r1(X1,sK1(X1)) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f13]) ).
fof(f13,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
=> ( ! [X3] :
( p1(X3)
| ~ r1(sK1(X1),X3) )
& r1(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X7] :
( ! [X10] :
( ? [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
& r1(X10,X11) )
| ~ r1(X7,X10) )
| ~ sP0(X7) ),
inference(nnf_transformation,[],[f9]) ).
fof(f802,plain,
! [X0] :
( p1(sK8(sK1(sK4)))
| ~ r1(X0,sK4)
| ~ sP0(X0) ),
inference(resolution,[],[f801,f26]) ).
fof(f26,plain,
! [X3,X0,X1] :
( ~ r1(sK1(X1),X3)
| p1(X3)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f801,plain,
r1(sK1(sK4),sK8(sK1(sK4))),
inference(subsumption_resolution,[],[f800,f34]) ).
fof(f800,plain,
( r1(sK1(sK4),sK8(sK1(sK4)))
| ~ r1(sK2,sK3) ),
inference(resolution,[],[f320,f35]) ).
fof(f320,plain,
! [X0] :
( ~ r1(X0,sK4)
| r1(sK1(sK4),sK8(sK1(sK4)))
| ~ r1(sK2,X0) ),
inference(resolution,[],[f304,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ~ r1(sK4,X0)
| r1(X0,sK8(X0))
| ~ r1(X1,sK4)
| ~ r1(sK2,X1) ),
inference(subsumption_resolution,[],[f236,f37]) ).
fof(f236,plain,
! [X0,X1] :
( p1(sK5)
| r1(X0,sK8(X0))
| ~ r1(sK4,X0)
| ~ r1(X1,sK4)
| ~ r1(sK2,X1) ),
inference(resolution,[],[f29,f36]) ).
fof(f29,plain,
! [X10,X11,X12,X13] :
( ~ r1(X11,X12)
| p1(X12)
| r1(X13,sK8(X13))
| ~ r1(X11,X13)
| ~ r1(X10,X11)
| ~ r1(sK2,X10) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.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 : Mon Apr 29 22:57:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12709)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12713)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (12710)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12711)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (12712)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (12714)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (12715)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 % (12716)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [5]
% 0.20/0.37 TRYING [5]
% 0.20/0.37 TRYING [5]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [6]
% 0.20/0.38 TRYING [6]
% 0.20/0.38 TRYING [6]
% 0.20/0.38 TRYING [6]
% 0.20/0.38 % (12714)First to succeed.
% 0.20/0.38 TRYING [7]
% 0.20/0.38 TRYING [7]
% 0.20/0.38 % (12714)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (12714)------------------------------
% 0.20/0.38 % (12714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.38 % (12714)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (12714)Memory used [KB]: 1004
% 0.20/0.38 % (12714)Time elapsed: 0.017 s
% 0.20/0.38 % (12714)Instructions burned: 29 (million)
% 0.20/0.38 % (12714)------------------------------
% 0.20/0.38 % (12714)------------------------------
% 0.20/0.38 % (12709)Success in time 0.021 s
%------------------------------------------------------------------------------