TSTP Solution File: LCL672+1.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL672+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Wed May 1 03:18:25 EDT 2024
% Result : Theorem 0.58s 0.84s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 15 unt; 0 def)
% Number of atoms : 668 ( 0 equ)
% Maximal formula atoms : 96 ( 10 avg)
% Number of connectives : 1140 ( 535 ~; 429 |; 159 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-1 aty)
% Number of variables : 370 ( 308 !; 62 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f77,f89,f92,f131,f141,f155]) ).
fof(f155,plain,
~ spl11_19,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f150,f35]) ).
fof(f35,plain,
r1(sK0,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ~ p1(sK1)
& r1(sK0,sK1)
& ~ p1(sK3)
& r1(sK2,sK3)
& ! [X5] :
( p1(X5)
| ~ r1(sK4,X5) )
& r1(sK2,sK4)
& r1(sK0,sK2)
& ~ p2(sK5)
& r1(sK0,sK5)
& ( ! [X7] :
( p1(X7)
| ~ r1(sK0,X7) )
| ! [X8] :
( r1(X8,sK6(X8))
| ~ r1(sK0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(sK0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(sK0,X11) )
| ! [X12] :
( ! [X13] :
( ( ~ p1(sK7(X13))
& r1(X13,sK7(X13)) )
| ~ r1(X12,X13) )
| ! [X15] :
( ( ! [X17] :
( p1(X17)
| ~ r1(sK8(X15),X17) )
& r1(X15,sK8(X15)) )
| ~ r1(X12,X15) )
| ~ r1(sK0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(sK0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(sK0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ( ~ p1(sK9(X23))
& r1(X23,sK9(X23)) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(sK0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(sK0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(sK0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ( p1(sK10(X28))
& r1(X28,sK10(X28)) )
| ~ r1(X27,X28) )
| ~ r1(sK0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(sK0,X30) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f9,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f12,plain,
( ? [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(X0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(X0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(X0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(X0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) )
=> ( ? [X1] :
( ~ p1(X1)
& r1(sK0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(sK0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(sK0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(sK0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(sK0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(sK0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(sK0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(sK0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(sK0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(sK0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(sK0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(sK0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(sK0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(sK0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(sK0,X30) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X1] :
( ~ p1(X1)
& r1(sK0,X1) )
=> ( ~ p1(sK1)
& r1(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(sK0,X2) )
=> ( ? [X3] :
( ~ p1(X3)
& r1(sK2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(sK2,X4) )
& r1(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X3] :
( ~ p1(X3)
& r1(sK2,X3) )
=> ( ~ p1(sK3)
& r1(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(sK2,X4) )
=> ( ! [X5] :
( p1(X5)
| ~ r1(sK4,X5) )
& r1(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X6] :
( ~ p2(X6)
& r1(sK0,X6) )
=> ( ~ p2(sK5)
& r1(sK0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X8] :
( ? [X9] : r1(X8,X9)
=> r1(X8,sK6(X8)) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
=> ( ~ p1(sK7(X13))
& r1(X13,sK7(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
=> ( ! [X17] :
( p1(X17)
| ~ r1(sK8(X15),X17) )
& r1(X15,sK8(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
=> ( ~ p1(sK9(X23))
& r1(X23,sK9(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
=> ( p1(sK10(X28))
& r1(X28,sK10(X28)) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(X0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(X0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(X0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(X0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
? [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
& ? [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& ? [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
& r1(X2,X4) )
& r1(X0,X2) )
& ? [X6] :
( ~ p2(X6)
& r1(X0,X6) )
& ( ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ! [X8] :
( ? [X9] : r1(X8,X9)
| ~ r1(X0,X8) )
| ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
& ( ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
| ! [X12] :
( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ~ r1(X12,X13) )
| ! [X15] :
( ? [X16] :
( ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
& r1(X15,X16) )
| ~ r1(X12,X15) )
| ~ r1(X0,X12) )
| ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
& ( ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ! [X20] :
( ! [X21] :
( ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ! [X23] :
( ? [X24] :
( ~ p1(X24)
& r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
| ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
& ( ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
| ! [X27] :
( ~ p1(X27)
| ! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X0,X27) )
| ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ~ ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X0,X2) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) )
| ( ~ ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
& ~ ! [X8] :
( ~ ! [X9] : ~ r1(X8,X9)
| ~ r1(X0,X8) )
& ~ ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
| ( ~ ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
& ~ ! [X12] :
( ~ ( ~ ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ ! [X15] :
( ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) ) )
| ~ r1(X0,X12) )
& ~ ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
| ( ~ ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ! [X21] :
( ~ ( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
& ~ ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X21,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
& ~ ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
| ( ~ ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
& ~ ! [X27] :
( ~ ( p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X0,X27) )
& ~ ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ~ ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X0,X2) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) )
| ( ~ ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
& ~ ! [X8] :
( ~ ! [X9] : ~ r1(X8,X9)
| ~ r1(X0,X8) )
& ~ ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
| ( ~ ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
& ~ ! [X12] :
( ~ ( ~ ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ ! [X15] :
( ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) ) )
| ~ r1(X0,X12) )
& ~ ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
| ( ~ ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ! [X21] :
( ~ ( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
& ~ ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X21,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
& ~ ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
| ( ~ ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
& ~ ! [X27] :
( ~ ( p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X0,X27) )
& ~ ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ~ ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X0,X2) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) )
| ( ~ ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
& ~ ! [X8] :
( ~ ! [X9] :
( $false
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ~ ! [X10] :
( p2(X10)
| ~ r1(X0,X10) ) )
| ( ~ ! [X11] :
( p1(X11)
| ~ r1(X0,X11) )
& ~ ! [X12] :
( ~ ( ~ ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
& ~ ! [X15] :
( ~ ! [X16] :
( ~ ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X12,X15) ) )
| ~ r1(X0,X12) )
& ~ ! [X18] :
( p2(X18)
| ~ r1(X0,X18) ) )
| ( ~ ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
& ~ ! [X20] :
( ! [X21] :
( ~ ( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
& ~ ! [X23] :
( ~ ! [X24] :
( p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X21,X23) ) )
| ~ r1(X20,X21) )
| ~ r1(X0,X20) )
& ~ ! [X25] :
( p2(X25)
| ~ r1(X0,X25) ) )
| ( ~ ! [X26] :
( p1(X26)
| ~ r1(X0,X26) )
& ~ ! [X27] :
( ~ ( p1(X27)
& ~ ! [X28] :
( ~ ! [X29] :
( ~ p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X27,X28) ) )
| ~ r1(X0,X27) )
& ~ ! [X30] :
( p2(X30)
| ~ r1(X0,X30) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ 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] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ 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] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ 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] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ 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] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HniYNmHedx/Vampire---4.8_21206',main) ).
fof(f150,plain,
( ~ r1(sK0,sK2)
| ~ spl11_19 ),
inference(resolution,[],[f130,f43]) ).
fof(f43,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.HniYNmHedx/Vampire---4.8_21206',reflexivity) ).
fof(f130,plain,
( ! [X0] :
( ~ r1(X0,sK2)
| ~ r1(sK0,X0) )
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl11_19
<=> ! [X0] :
( ~ r1(X0,sK2)
| ~ r1(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f141,plain,
~ spl11_18,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f136,f38]) ).
fof(f38,plain,
r1(sK2,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f136,plain,
( ~ r1(sK2,sK3)
| ~ spl11_18 ),
inference(resolution,[],[f127,f39]) ).
fof(f39,plain,
~ p1(sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f127,plain,
( ! [X1] :
( p1(X1)
| ~ r1(sK2,X1) )
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl11_18
<=> ! [X1] :
( p1(X1)
| ~ r1(sK2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f131,plain,
( spl11_18
| spl11_19
| ~ spl11_8
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f124,f75,f71,f129,f126]) ).
fof(f71,plain,
( spl11_8
<=> ! [X20,X21,X23,X22] :
( p1(X22)
| ~ r1(sK0,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X23)
| ~ p1(sK9(X23))
| ~ r1(X21,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f75,plain,
( spl11_9
<=> ! [X20,X21,X23,X22] :
( p1(X22)
| ~ r1(sK0,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X23)
| r1(X23,sK9(X23))
| ~ r1(X21,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f124,plain,
( ! [X0,X1] :
( ~ r1(X0,sK2)
| ~ r1(sK0,X0)
| p1(X1)
| ~ r1(sK2,X1) )
| ~ spl11_8
| ~ spl11_9 ),
inference(resolution,[],[f123,f36]) ).
fof(f36,plain,
r1(sK2,sK4),
inference(cnf_transformation,[],[f23]) ).
fof(f123,plain,
( ! [X2,X0,X1] :
( ~ r1(X1,sK4)
| ~ r1(X0,X1)
| ~ r1(sK0,X0)
| p1(X2)
| ~ r1(X1,X2) )
| ~ spl11_8
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f122,f72]) ).
fof(f72,plain,
( ! [X21,X22,X23,X20] :
( ~ p1(sK9(X23))
| ~ r1(sK0,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X23)
| p1(X22)
| ~ r1(X21,X22) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( ~ r1(sK0,X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK4)
| p1(X2)
| ~ r1(X1,X2)
| p1(sK9(sK4)) )
| ~ spl11_9 ),
inference(resolution,[],[f76,f37]) ).
fof(f37,plain,
! [X5] :
( ~ r1(sK4,X5)
| p1(X5) ),
inference(cnf_transformation,[],[f23]) ).
fof(f76,plain,
( ! [X21,X22,X23,X20] :
( r1(X23,sK9(X23))
| ~ r1(sK0,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X23)
| p1(X22)
| ~ r1(X21,X22) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f92,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| ~ spl11_1 ),
inference(subsumption_resolution,[],[f90,f33]) ).
fof(f33,plain,
r1(sK0,sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f90,plain,
( ~ r1(sK0,sK5)
| ~ spl11_1 ),
inference(resolution,[],[f46,f34]) ).
fof(f34,plain,
~ p2(sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
( ! [X10] :
( p2(X10)
| ~ r1(sK0,X10) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl11_1
<=> ! [X10] :
( p2(X10)
| ~ r1(sK0,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f89,plain,
~ spl11_3,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f87,f40]) ).
fof(f40,plain,
r1(sK0,sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f87,plain,
( ~ r1(sK0,sK1)
| ~ spl11_3 ),
inference(resolution,[],[f52,f41]) ).
fof(f41,plain,
~ p1(sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f52,plain,
( ! [X7] :
( p1(X7)
| ~ r1(sK0,X7) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl11_3
<=> ! [X7] :
( p1(X7)
| ~ r1(sK0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f77,plain,
( spl11_1
| spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f26,f51,f75,f45]) ).
fof(f26,plain,
! [X21,X19,X22,X25,X23,X20] :
( p1(X19)
| ~ r1(sK0,X19)
| p1(X22)
| ~ r1(X21,X22)
| r1(X23,sK9(X23))
| ~ r1(X21,X23)
| ~ r1(X20,X21)
| ~ r1(sK0,X20)
| p2(X25)
| ~ r1(sK0,X25) ),
inference(cnf_transformation,[],[f23]) ).
fof(f73,plain,
( spl11_1
| spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f27,f51,f71,f45]) ).
fof(f27,plain,
! [X21,X19,X22,X25,X23,X20] :
( p1(X19)
| ~ r1(sK0,X19)
| p1(X22)
| ~ r1(X21,X22)
| ~ p1(sK9(X23))
| ~ r1(X21,X23)
| ~ r1(X20,X21)
| ~ r1(sK0,X20)
| p2(X25)
| ~ r1(sK0,X25) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Tue Apr 30 16:47:29 EDT 2024
% 0.11/0.37 % CPUTime :
% 0.11/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.11/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.HniYNmHedx/Vampire---4.8_21206
% 0.58/0.84 % (21323)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)
% 0.58/0.84 % (21321)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.84 % (21319)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)
% 0.58/0.84 % (21322)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)
% 0.58/0.84 % (21320)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)
% 0.58/0.84 % (21324)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)
% 0.58/0.84 % (21325)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)
% 0.58/0.84 % (21326)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)
% 0.58/0.84 % (21321)First to succeed.
% 0.58/0.84 % (21319)Also succeeded, but the first one will report.
% 0.58/0.84 % (21322)Also succeeded, but the first one will report.
% 0.58/0.84 % (21321)Refutation found. Thanks to Tanya!
% 0.58/0.84 % SZS status Theorem for Vampire---4
% 0.58/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.84 % (21321)------------------------------
% 0.58/0.84 % (21321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.84 % (21321)Termination reason: Refutation
% 0.58/0.84
% 0.58/0.84 % (21321)Memory used [KB]: 1105
% 0.58/0.84 % (21321)Time elapsed: 0.007 s
% 0.58/0.84 % (21321)Instructions burned: 10 (million)
% 0.58/0.84 % (21321)------------------------------
% 0.58/0.84 % (21321)------------------------------
% 0.58/0.84 % (21316)Success in time 0.464 s
% 0.58/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------