TSTP Solution File: LCL650+1.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL650+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 : Sun May 5 07:37:34 EDT 2024
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 592 ( 0 equ)
% Maximal formula atoms : 43 ( 12 avg)
% Number of connectives : 979 ( 433 ~; 336 |; 198 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-1 aty)
% Number of variables : 334 ( 234 !; 100 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(subsumption_resolution,[],[f75,f70]) ).
fof(f70,plain,
p3(sK12),
inference(unit_resulting_resolution,[],[f47,f35,f36,f37,f66,f28]) ).
fof(f28,plain,
! [X0,X1,X6,X5] :
( p2(X6)
| p3(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( ( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p3(sK1(X1))
& r1(X1,sK1(X1))
& ! [X5] :
( ! [X6] :
( ( ( ~ p2(X6)
| ~ p3(X6) )
& ( p3(X6)
| p2(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) ) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f13]) ).
fof(f13,plain,
! [X1] :
( ? [X4] :
( ~ p3(X4)
& r1(X1,X4) )
=> ( ~ p3(sK1(X1))
& r1(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( ( ( ~ p1(X3)
| ~ p2(X3) )
& ( p2(X3)
| p1(X3) ) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ? [X4] :
( ~ p3(X4)
& r1(X1,X4) )
& ! [X5] :
( ! [X6] :
( ( ( ~ p2(X6)
| ~ p3(X6) )
& ( p3(X6)
| p2(X6) ) )
| ~ r1(X5,X6) )
| ~ r1(X1,X5) ) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X5] :
( ! [X6] :
( ( ! [X7] :
( ! [X8] :
( ( ( ~ p1(X8)
| ~ p2(X8) )
& ( p2(X8)
| p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ? [X9] :
( ~ p3(X9)
& r1(X6,X9) )
& ! [X10] :
( ! [X11] :
( ( ( ~ p2(X11)
| ~ p3(X11) )
& ( p3(X11)
| p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
| ~ sP0(X5) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X5] :
( ! [X6] :
( ( ! [X7] :
( ! [X8] :
( ( ( ~ p1(X8)
| ~ p2(X8) )
& ( p2(X8)
| p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ? [X9] :
( ~ p3(X9)
& r1(X6,X9) )
& ! [X10] :
( ! [X11] :
( ( ( ~ p2(X11)
| ~ p3(X11) )
& ( p3(X11)
| p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f66,plain,
~ p2(sK12),
inference(unit_resulting_resolution,[],[f47,f35,f36,f37,f37,f36,f35,f34,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p2(X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK2,X3)
| ~ r1(X1,X0)
| ~ r1(X4,X0)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ sP0(X6) ),
inference(subsumption_resolution,[],[f64,f29]) ).
fof(f29,plain,
! [X0,X1,X6,X5] :
( ~ p3(X6)
| ~ p2(X6)
| ~ r1(X5,X6)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p3(X0)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(sK2,X3)
| ~ p2(X0)
| ~ r1(X4,X0)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ sP0(X6) ),
inference(resolution,[],[f39,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ p1(X3)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X8,X9,X7,X5] :
( p1(X9)
| p3(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X5,X7)
| ~ r1(sK2,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( r1(sK5,sK6)
& r1(sK4,sK5)
& r1(sK3,sK4)
& r1(sK2,sK3)
& ! [X5] :
( ( sP0(X5)
& r1(X5,sK7(X5))
& ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| ~ p1(X9) )
& ( p1(X9)
| p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X5,X7) ) )
| ~ r1(sK2,X5) )
& r1(sK2,sK8)
& r1(sK11,sK12)
& r1(sK10,sK11)
& r1(sK9,sK10)
& r1(sK2,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f15,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X5] :
( ( sP0(X5)
& ? [X6] : r1(X5,X6)
& ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| ~ p1(X9) )
& ( p1(X9)
| p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) )
& ? [X10] : r1(X0,X10)
& ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X0,X11) ) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(X1,X2) )
& r1(sK2,X1) )
& ! [X5] :
( ( sP0(X5)
& ? [X6] : r1(X5,X6)
& ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| ~ p1(X9) )
& ( p1(X9)
| p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X5,X7) ) )
| ~ r1(sK2,X5) )
& ? [X10] : r1(sK2,X10)
& ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) )
& r1(X11,X12) )
& r1(sK2,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(X1,X2) )
& r1(sK2,X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(sK3,X2) )
& r1(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(sK3,X2) )
=> ( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(sK4,X3) )
& r1(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(sK4,X3) )
=> ( ? [X4] : r1(sK5,X4)
& r1(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X4] : r1(sK5,X4)
=> r1(sK5,sK6) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X5] :
( ? [X6] : r1(X5,X6)
=> r1(X5,sK7(X5)) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X10] : r1(sK2,X10)
=> r1(sK2,sK8) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) )
& r1(X11,X12) )
& r1(sK2,X11) )
=> ( ? [X12] :
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) )
& r1(sK9,X12) )
& r1(sK2,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
( ? [X12] :
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) )
& r1(sK9,X12) )
=> ( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(sK10,X13) )
& r1(sK9,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(sK10,X13) )
=> ( ? [X14] : r1(sK11,X14)
& r1(sK10,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X14] : r1(sK11,X14)
=> r1(sK11,sK12) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X5] :
( ( sP0(X5)
& ? [X6] : r1(X5,X6)
& ! [X7] :
( ! [X8] :
( ! [X9] :
( ( ( ~ p3(X9)
| ~ p1(X9) )
& ( p1(X9)
| p3(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X5,X7) ) )
| ~ r1(X0,X5) )
& ? [X10] : r1(X0,X10)
& ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] : r1(X13,X14)
& r1(X12,X13) )
& r1(X11,X12) )
& r1(X0,X11) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X5] :
( ( sP0(X5)
& ? [X12] : r1(X5,X12)
& ! [X13] :
( ! [X14] :
( ! [X15] :
( ( ( ~ p3(X15)
| ~ p1(X15) )
& ( p1(X15)
| p3(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) ) )
| ~ r1(X0,X5) )
& ? [X16] : r1(X0,X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ? [X20] : r1(X19,X20)
& r1(X18,X19) )
& r1(X17,X18) )
& r1(X0,X17) ) ),
inference(definition_folding,[],[f8,f9]) ).
fof(f8,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] : r1(X3,X4)
& r1(X2,X3) )
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X5] :
( ( ! [X6] :
( ( ! [X7] :
( ! [X8] :
( ( ( ~ p1(X8)
| ~ p2(X8) )
& ( p2(X8)
| p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ? [X9] :
( ~ p3(X9)
& r1(X6,X9) )
& ! [X10] :
( ! [X11] :
( ( ( ~ p2(X11)
| ~ p3(X11) )
& ( p3(X11)
| p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
& ? [X12] : r1(X5,X12)
& ! [X13] :
( ! [X14] :
( ! [X15] :
( ( ( ~ p3(X15)
| ~ p1(X15) )
& ( p1(X15)
| p3(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) ) )
| ~ r1(X0,X5) )
& ? [X16] : r1(X0,X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ? [X20] : r1(X19,X20)
& r1(X18,X19) )
& r1(X17,X18) )
& r1(X0,X17) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] : ~ r1(X3,X4)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ ( ~ ! [X7] :
( ! [X8] :
( ~ ( ( p1(X8)
& p2(X8) )
| ( ~ p2(X8)
& ~ p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ! [X9] :
( p3(X9)
| ~ r1(X6,X9) )
| ~ ! [X10] :
( ! [X11] :
( ~ ( ( p2(X11)
& p3(X11) )
| ( ~ p3(X11)
& ~ p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
| ! [X12] : ~ r1(X5,X12)
| ~ ! [X13] :
( ! [X14] :
( ! [X15] :
( ~ ( ( p3(X15)
& p1(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) ) )
| ~ r1(X0,X5) )
| ! [X16] : ~ r1(X0,X16)
| ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] : ~ r1(X19,X20)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X0,X17) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( p1(X4)
& p2(X4)
& p3(X4)
& p4(X4) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ ( ~ ! [X7] :
( ! [X8] :
( ~ ( ( p1(X8)
& p2(X8) )
| ( ~ p2(X8)
& ~ p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ! [X9] :
( p3(X9)
| ~ r1(X6,X9) )
| ~ ! [X10] :
( ! [X11] :
( ~ ( ( p2(X11)
& p3(X11) )
| ( ~ p3(X11)
& ~ p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
| ! [X12] :
( p4(X12)
| ~ r1(X5,X12) )
| ~ ! [X13] :
( ! [X14] :
( ! [X15] :
( ~ ( ( p3(X15)
& p1(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) ) )
| ~ r1(X0,X5) )
| ! [X16] : ~ r1(X0,X16)
| ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] : ~ r1(X19,X20)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X0,X17) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( p1(X4)
& p2(X4)
& p3(X4)
& p4(X4) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ ( ~ ! [X7] :
( ! [X8] :
( ~ ( ( p1(X8)
& p2(X8) )
| ( ~ p2(X8)
& ~ p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ! [X9] :
( p3(X9)
| ~ r1(X6,X9) )
| ~ ! [X10] :
( ! [X11] :
( ~ ( ( p2(X11)
& p3(X11) )
| ( ~ p3(X11)
& ~ p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
| ! [X12] :
( p4(X12)
| ~ r1(X5,X12) )
| ~ ! [X13] :
( ! [X14] :
( ! [X15] :
( ~ ( ( p3(X15)
& p1(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) ) )
| ~ r1(X0,X5) )
| ! [X16] : ~ r1(X0,X16)
| ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ~ p2(X20)
& ~ p4(X20)
& ~ p6(X20)
& ~ p8(X20) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X0,X17) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( p1(X4)
& p2(X4)
& p3(X4)
& p4(X4) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ ( ~ ! [X7] :
( ! [X8] :
( ~ ( ( p1(X8)
& p2(X8) )
| ( ~ p2(X8)
& ~ p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ! [X9] :
( p3(X9)
| ~ r1(X6,X9) )
| ~ ! [X10] :
( ! [X11] :
( ~ ( ( p2(X11)
& p3(X11) )
| ( ~ p3(X11)
& ~ p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
| ! [X12] :
( p4(X12)
| ~ r1(X5,X12) )
| ~ ! [X13] :
( ! [X14] :
( ! [X15] :
( ~ ( ( p3(X15)
& p1(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) ) )
| ~ r1(X0,X5) )
| ! [X16] :
( p5(X16)
| ~ r1(X0,X16) )
| ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ~ p2(X20)
& ~ p4(X20)
& ~ p6(X20)
& ~ p8(X20) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X0,X17) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( p1(X4)
& p2(X4)
& p3(X4)
& p4(X4) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ ! [X5] :
( ~ ( ~ ! [X6] :
( ~ ( ~ ! [X7] :
( ~ ~ ! [X8] :
( ~ ( ( p1(X8)
& p2(X8) )
| ( ~ p2(X8)
& ~ p1(X8) ) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ! [X9] :
( p3(X9)
| ~ r1(X6,X9) )
| ~ ! [X10] :
( ! [X11] :
( ~ ( ( p2(X11)
& p3(X11) )
| ( ~ p3(X11)
& ~ p2(X11) ) )
| ~ r1(X10,X11) )
| ~ r1(X6,X10) ) )
| ~ r1(X5,X6) )
| ! [X12] :
( p4(X12)
| ~ r1(X5,X12) )
| ~ ! [X13] :
( ! [X14] :
( ! [X15] :
( ~ ( ( p3(X15)
& p1(X15) )
| ( ~ p1(X15)
& ~ p3(X15) ) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X5,X13) ) )
| ~ r1(X0,X5) )
| ! [X16] :
( p5(X16)
| ~ r1(X0,X16) )
| ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ~ p2(X20)
& ~ p4(X20)
& ~ p6(X20)
& ~ p8(X20) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X0,X17) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( p1(X0)
& p2(X0)
& p3(X0)
& p4(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ~ ! [X0] :
( ~ ( ( p1(X0)
& p2(X0) )
| ( ~ p2(X0)
& ~ p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( ( p2(X0)
& p3(X0) )
| ( ~ p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p3(X0)
& p1(X0) )
| ( ~ p1(X0)
& ~ p3(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ~ p2(X0)
& ~ p4(X0)
& ~ p6(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( p1(X0)
& p2(X0)
& p3(X0)
& p4(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ~ ! [X0] :
( ~ ( ( p1(X0)
& p2(X0) )
| ( ~ p2(X0)
& ~ p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ ( ( p2(X0)
& p3(X0) )
| ( ~ p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ( ( p3(X0)
& p1(X0) )
| ( ~ p1(X0)
& ~ p3(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ~ p2(X0)
& ~ p4(X0)
& ~ p6(X0)
& ~ p8(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.BptU0amX34/Vampire---4.8_19511',main) ).
fof(f34,plain,
r1(sK2,sK9),
inference(cnf_transformation,[],[f27]) ).
fof(f37,plain,
r1(sK11,sK12),
inference(cnf_transformation,[],[f27]) ).
fof(f36,plain,
r1(sK10,sK11),
inference(cnf_transformation,[],[f27]) ).
fof(f35,plain,
r1(sK9,sK10),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
sP0(sK9),
inference(unit_resulting_resolution,[],[f34,f42]) ).
fof(f42,plain,
! [X5] :
( sP0(X5)
| ~ r1(sK2,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f75,plain,
~ p3(sK12),
inference(unit_resulting_resolution,[],[f34,f35,f36,f37,f69,f40]) ).
fof(f40,plain,
! [X8,X9,X7,X5] :
( ~ p3(X9)
| ~ p1(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X5,X7)
| ~ r1(sK2,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f69,plain,
p1(sK12),
inference(unit_resulting_resolution,[],[f47,f35,f36,f37,f66,f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( p1(X3)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL650+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 13:26:11 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BptU0amX34/Vampire---4.8_19511
% 0.61/0.80 % (19892)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.80 % (19890)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80 % (19884)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.80 % (19887)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (19888)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80 % (19885)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.80 % (19889)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.80 % (19891)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.80 % (19888)First to succeed.
% 0.61/0.80 % (19885)Also succeeded, but the first one will report.
% 0.61/0.80 % (19888)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19765"
% 0.61/0.81 % (19888)Refutation found. Thanks to Tanya!
% 0.61/0.81 % SZS status Theorem for Vampire---4
% 0.61/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81 % (19888)------------------------------
% 0.61/0.81 % (19888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (19888)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (19888)Memory used [KB]: 1125
% 0.61/0.81 % (19888)Time elapsed: 0.008 s
% 0.61/0.81 % (19888)Instructions burned: 13 (million)
% 0.61/0.81 % (19765)Success in time 0.427 s
% 0.61/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------