TSTP Solution File: LCL638+1.001 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL638+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 : 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 : Tue Apr 30 13:47:02 EDT 2024
% Result : Theorem 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 9 unt; 0 def)
% Number of atoms : 440 ( 0 equ)
% Maximal formula atoms : 54 ( 10 avg)
% Number of connectives : 791 ( 394 ~; 278 |; 112 &)
% ( 0 <=>; 7 =>; 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 : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 264 ( 209 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,plain,
$false,
inference(subsumption_resolution,[],[f97,f84]) ).
fof(f84,plain,
~ p1(sK5(sK3)),
inference(subsumption_resolution,[],[f83,f34]) ).
fof(f34,plain,
r1(sK2,sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ! [X2] :
( p1(X2)
| ~ r1(sK3,X2) )
& ~ p1(sK3)
& r1(sK2,sK3)
& ! [X3] :
( r1(X3,sK4(X3))
| ~ r1(sK2,X3) )
& ! [X5] :
( ( ~ p1(sK5(X5))
& r1(X5,sK5(X5)) )
| ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ r1(sK2,X5) )
& ! [X9] :
( ( ! [X11] :
( ~ p1(X11)
| ~ r1(sK6(X9),X11) )
& r1(X9,sK6(X9)) )
| sP0(X9)
| ~ r1(sK2,X9) )
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ( p1(sK7(X13))
& r1(X13,sK7(X13)) )
| ~ r1(X12,X13) )
| ~ r1(sK2,X12) )
& ! [X15] :
( p1(X15)
| ! [X16] :
( ( ~ p1(sK8(X16))
& r1(X16,sK8(X16)) )
| ~ r1(X15,X16) )
| ~ r1(sK2,X15) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f14,f21,f20,f19,f18,f17,f16,f15]) ).
fof(f15,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) )
| sP0(X9)
| ~ r1(X0,X9) )
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X0,X12) )
& ! [X15] :
( p1(X15)
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X0,X15) ) )
=> ( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(sK2,X1) )
& ! [X3] :
( ? [X4] : r1(X3,X4)
| ~ r1(sK2,X3) )
& ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ! [X7] :
( ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X5,X7) )
| ~ r1(sK2,X5) )
& ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
| sP0(X9)
| ~ r1(sK2,X9) )
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(sK2,X12) )
& ! [X15] :
( p1(X15)
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(sK2,X15) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(sK2,X1) )
=> ( ! [X2] :
( p1(X2)
| ~ r1(sK3,X2) )
& ~ p1(sK3)
& r1(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X3] :
( ? [X4] : r1(X3,X4)
=> r1(X3,sK4(X3)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
=> ( ~ p1(sK5(X5))
& r1(X5,sK5(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X9] :
( ? [X10] :
( ! [X11] :
( ~ p1(X11)
| ~ r1(X10,X11) )
& r1(X9,X10) )
=> ( ! [X11] :
( ~ p1(X11)
| ~ r1(sK6(X9),X11) )
& r1(X9,sK6(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
=> ( p1(sK7(X13))
& r1(X13,sK7(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
=> ( ~ p1(sK8(X16))
& r1(X16,sK8(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,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) )
| sP0(X9)
| ~ r1(X0,X9) )
& ! [X12] :
( ~ p1(X12)
| ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X0,X12) )
& ! [X15] :
( p1(X15)
| ! [X16] :
( ? [X17] :
( ~ p1(X17)
& r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X0,X15) ) ),
inference(rectify,[],[f9]) ).
fof(f9,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) )
| sP0(X9)
| ~ 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(definition_folding,[],[f7,f8]) ).
fof(f8,plain,
! [X9] :
( ! [X12] :
( ! [X13] :
( ? [X14] :
( p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X9,X12) )
| ~ sP0(X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
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(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(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(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(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(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(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/sandbox/benchmark/theBenchmark.p',main) ).
fof(f83,plain,
( ~ p1(sK5(sK3))
| ~ r1(sK2,sK3) ),
inference(resolution,[],[f81,f37]) ).
fof(f37,plain,
r1(sK3,sK4(sK3)),
inference(resolution,[],[f33,f34]) ).
fof(f33,plain,
! [X3] :
( ~ r1(sK2,X3)
| r1(X3,sK4(X3)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f81,plain,
! [X0] :
( ~ r1(X0,sK4(sK3))
| ~ p1(sK5(X0))
| ~ r1(sK2,X0) ),
inference(subsumption_resolution,[],[f78,f45]) ).
fof(f45,plain,
~ p1(sK8(sK4(sK3))),
inference(subsumption_resolution,[],[f44,f34]) ).
fof(f44,plain,
( ~ p1(sK8(sK4(sK3)))
| ~ r1(sK2,sK3) ),
inference(subsumption_resolution,[],[f42,f35]) ).
fof(f35,plain,
~ p1(sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
( ~ p1(sK8(sK4(sK3)))
| p1(sK3)
| ~ r1(sK2,sK3) ),
inference(resolution,[],[f26,f37]) ).
fof(f26,plain,
! [X16,X15] :
( ~ r1(X15,X16)
| ~ p1(sK8(X16))
| p1(X15)
| ~ r1(sK2,X15) ),
inference(cnf_transformation,[],[f22]) ).
fof(f78,plain,
! [X0] :
( p1(sK8(sK4(sK3)))
| ~ p1(sK5(X0))
| ~ r1(X0,sK4(sK3))
| ~ r1(sK2,X0) ),
inference(resolution,[],[f32,f55]) ).
fof(f55,plain,
r1(sK4(sK3),sK8(sK4(sK3))),
inference(subsumption_resolution,[],[f54,f34]) ).
fof(f54,plain,
( r1(sK4(sK3),sK8(sK4(sK3)))
| ~ r1(sK2,sK3) ),
inference(subsumption_resolution,[],[f52,f35]) ).
fof(f52,plain,
( r1(sK4(sK3),sK8(sK4(sK3)))
| p1(sK3)
| ~ r1(sK2,sK3) ),
inference(resolution,[],[f25,f37]) ).
fof(f25,plain,
! [X16,X15] :
( ~ r1(X15,X16)
| r1(X16,sK8(X16))
| p1(X15)
| ~ r1(sK2,X15) ),
inference(cnf_transformation,[],[f22]) ).
fof(f32,plain,
! [X8,X7,X5] :
( ~ r1(X7,X8)
| p1(X8)
| ~ p1(sK5(X5))
| ~ r1(X5,X7)
| ~ r1(sK2,X5) ),
inference(cnf_transformation,[],[f22]) ).
fof(f97,plain,
p1(sK5(sK3)),
inference(resolution,[],[f96,f36]) ).
fof(f36,plain,
! [X2] :
( ~ r1(sK3,X2)
| p1(X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f96,plain,
r1(sK3,sK5(sK3)),
inference(subsumption_resolution,[],[f95,f34]) ).
fof(f95,plain,
( r1(sK3,sK5(sK3))
| ~ r1(sK2,sK3) ),
inference(resolution,[],[f93,f37]) ).
fof(f93,plain,
! [X0] :
( ~ r1(X0,sK4(sK3))
| r1(X0,sK5(X0))
| ~ r1(sK2,X0) ),
inference(subsumption_resolution,[],[f90,f45]) ).
fof(f90,plain,
! [X0] :
( p1(sK8(sK4(sK3)))
| r1(X0,sK5(X0))
| ~ r1(X0,sK4(sK3))
| ~ r1(sK2,X0) ),
inference(resolution,[],[f31,f55]) ).
fof(f31,plain,
! [X8,X7,X5] :
( ~ r1(X7,X8)
| p1(X8)
| r1(X5,sK5(X5))
| ~ r1(X5,X7)
| ~ r1(sK2,X5) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Apr 29 22:51:21 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.31 % (25801)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (25808)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.32 % (25809)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.32 % (25805)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.32 % (25812)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)
% 0.16/0.32 % (25809)First to succeed.
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [1]
% 0.16/0.32 TRYING [2]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (25811)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.32 TRYING [3]
% 0.16/0.32 TRYING [3]
% 0.16/0.32 % (25809)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.32 % (25809)------------------------------
% 0.16/0.32 % (25809)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.32 % (25809)Termination reason: Refutation
% 0.16/0.32
% 0.16/0.32 % (25809)Memory used [KB]: 760
% 0.16/0.32 % (25809)Time elapsed: 0.003 s
% 0.16/0.32 % (25809)Instructions burned: 7 (million)
% 0.16/0.32 % (25809)------------------------------
% 0.16/0.32 % (25809)------------------------------
% 0.16/0.32 % (25801)Success in time 0.012 s
%------------------------------------------------------------------------------