%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1.1
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:10:15 PM UTC 2026
% Result : Theorem 0.65s 0.96s
% Output : Proof 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 9 unt; 14 def)
% Number of atoms : 834 ( 0 equ)
% Maximal formula atoms : 140 ( 18 avg)
% Number of connectives : 1379 ( 589 ~; 449 |; 327 &)
% ( 0 <=>; 0 =>; 14 <=; 0 <~>)
% Maximal formula depth : 59 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-1 aty)
% Number of variables : 210 ( 0 sgn 176 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
% FILE RECORD
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| $false )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ) ) ),
file('theBenchmark.p',main) ).
% NEGATING CONJECTURE
fof(main_nc,negated_conjecture,
? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| $false )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ) ) ),
inference(negating_conjecture,[status(cth)],[main]) ).
% FOF SIMPLE INFERENCE
fof(main_nc_elimTB,negated_conjecture,
? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X3] :
( ~ r1(X2,X3)
| ~ p1(X3) ) )
| ! [X4] :
( ~ r1(X1,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ ( ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] : ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X17,X19)
| ~ ( ( p14(X19)
& ~ p13(X19) )
| ( ~ p14(X19)
& p13(X19) ) ) ) )
| ~ ! [X20] :
( ~ r1(X16,X20)
| ~ ( ( p13(X20)
& ~ p12(X20) )
| ( ~ p13(X20)
& p12(X20) ) ) ) )
| ~ ! [X21] :
( ~ r1(X15,X21)
| ~ ( ( p12(X21)
& ~ p11(X21) )
| ( ~ p12(X21)
& p11(X21) ) ) ) )
| ~ ! [X22] :
( ~ r1(X14,X22)
| ~ ( ( p11(X22)
& ~ p10(X22) )
| ( ~ p11(X22)
& p10(X22) ) ) ) )
| ~ ! [X23] :
( ~ r1(X13,X23)
| ~ ( ( p10(X23)
& ~ p9(X23) )
| ( ~ p10(X23)
& p9(X23) ) ) ) )
| ~ ! [X24] :
( ~ r1(X12,X24)
| ~ ( ( p9(X24)
& ~ p8(X24) )
| ( ~ p9(X24)
& p8(X24) ) ) ) )
| ~ ! [X25] :
( ~ r1(X11,X25)
| ~ ( ( p8(X25)
& ~ p7(X25) )
| ( ~ p8(X25)
& p7(X25) ) ) ) )
| ~ ! [X26] :
( ~ r1(X10,X26)
| ~ ( ( p7(X26)
& ~ p6(X26) )
| ( ~ p7(X26)
& p6(X26) ) ) ) )
| ~ ! [X27] :
( ~ r1(X9,X27)
| ~ ( ( p6(X27)
& ~ p5(X27) )
| ( ~ p6(X27)
& p5(X27) ) ) ) )
| ~ ! [X28] :
( ~ r1(X8,X28)
| ~ ( ( p5(X28)
& ~ p4(X28) )
| ( ~ p5(X28)
& p4(X28) ) ) ) )
| ~ ! [X29] :
( ~ r1(X7,X29)
| ~ ( ( p4(X29)
& ~ p3(X29) )
| ( ~ p4(X29)
& p3(X29) ) ) ) )
| ~ ! [X30] :
( ~ r1(X6,X30)
| ~ ( ( p3(X30)
& ~ p2(X30) )
| ( ~ p3(X30)
& p2(X30) ) ) ) )
| ~ ! [X31] :
( ~ r1(X5,X31)
| ~ ( ( p2(X31)
& ~ p1(X31) )
| ( ~ p2(X31)
& p1(X31) ) ) )
| ! [X32] :
( ~ r1(X5,X32)
| p15(X32) )
| ! [X33] :
( ~ r1(X5,X33)
| ( ~ p13(X33)
& ~ p14(X33) )
| ( p14(X33)
& p13(X33) )
| ( ~ p12(X33)
& ~ p13(X33) )
| ( p13(X33)
& p12(X33) )
| ( ~ p11(X33)
& ~ p12(X33) )
| ( p12(X33)
& p11(X33) )
| ( ~ p10(X33)
& ~ p11(X33) )
| ( p11(X33)
& p10(X33) )
| ( ~ p9(X33)
& ~ p10(X33) )
| ( p10(X33)
& p9(X33) )
| ( ~ p8(X33)
& ~ p9(X33) )
| ( p9(X33)
& p8(X33) )
| ( ~ p7(X33)
& ~ p8(X33) )
| ( p8(X33)
& p7(X33) )
| ( ~ p6(X33)
& ~ p7(X33) )
| ( p7(X33)
& p6(X33) )
| ( ~ p5(X33)
& ~ p6(X33) )
| ( p6(X33)
& p5(X33) )
| ( ~ p4(X33)
& ~ p5(X33) )
| ( p5(X33)
& p4(X33) )
| ( ~ p3(X33)
& ~ p4(X33) )
| ( p4(X33)
& p3(X33) )
| ( ~ p2(X33)
& ~ p3(X33) )
| ( p3(X33)
& p2(X33) )
| ( ~ p1(X33)
& ~ p2(X33) )
| ( p2(X33)
& p1(X33) ) ) ) ) ) ),
inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[main_nc])]) ).
% FOF INTRODUCE RENAMING
fof(ren13_defn,definition,
! [X31] :
( ren13(X31)
<= ( ( p2(X31)
& ~ p1(X31) )
| ( ~ p2(X31)
& p1(X31) ) ) ),
introduced(definition,[new_symbols(definition,[ren13])],[main_nc_elimTB]) ).
% FOF SIMPLE INFERENCE
fof(ren13_elimImpEquivPushNegMiniScope,plain,
! [X1] :
( ( ( ~ p2(X1)
| p1(X1) )
& ( p2(X1)
| ~ p1(X1) ) )
| ren13(X1) ),
inference(elimImpEquivPushNegMiniScope,[status(thm)],[ren13_defn]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_27,plain,
( ~ p2(X0)
| p1(X0)
| ren13(X0) ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren13_elimImpEquivPushNegMiniScope])]) ).
% FILE RECORD
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('theBenchmark.p',reflexivity) ).
% FOF SIMPLE INFERENCE
fof(reflexivity_elimTB,axiom,
! [X1] : r1(X1,X1),
inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity])]) ).
% FOF SIMPLE INFERENCE
fof(reflexivity_elimImpEquivPushNegMiniScope,axiom,
! [X1] : r1(X1,X1),
inference(elimImpEquivPushNegMiniScope,[status(thm)],[reflexivity_elimTB]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_1,plain,
r1(X0,X0),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[reflexivity_elimImpEquivPushNegMiniScope])]) ).
% FOF INTRODUCE RENAMING
fof(ren14_defn,definition,
! [X5] :
( ren14(X5)
<= ( ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] : ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X17,X19)
| ~ ren1(X19) ) )
| ~ ! [X20] :
( ~ r1(X16,X20)
| ~ ren2(X20) ) )
| ~ ! [X21] :
( ~ r1(X15,X21)
| ~ ren3(X21) ) )
| ~ ! [X22] :
( ~ r1(X14,X22)
| ~ ren4(X22) ) )
| ~ ! [X23] :
( ~ r1(X13,X23)
| ~ ren5(X23) ) )
| ~ ! [X24] :
( ~ r1(X12,X24)
| ~ ren6(X24) ) )
| ~ ! [X25] :
( ~ r1(X11,X25)
| ~ ren7(X25) ) )
| ~ ! [X26] :
( ~ r1(X10,X26)
| ~ ren8(X26) ) )
| ~ ! [X27] :
( ~ r1(X9,X27)
| ~ ren9(X27) ) )
| ~ ! [X28] :
( ~ r1(X8,X28)
| ~ ren10(X28) ) )
| ~ ! [X29] :
( ~ r1(X7,X29)
| ~ ren11(X29) ) )
| ~ ! [X30] :
( ~ r1(X6,X30)
| ~ ren12(X30) ) )
| ~ ! [X31] :
( ~ r1(X5,X31)
| ~ ren13(X31) )
| ! [X32] :
( ~ r1(X5,X32)
| p15(X32) )
| ! [X33] :
( ~ r1(X5,X33)
| ( ~ p13(X33)
& ~ p14(X33) )
| ( p14(X33)
& p13(X33) )
| ( ~ p12(X33)
& ~ p13(X33) )
| ( p13(X33)
& p12(X33) )
| ( ~ p11(X33)
& ~ p12(X33) )
| ( p12(X33)
& p11(X33) )
| ( ~ p10(X33)
& ~ p11(X33) )
| ( p11(X33)
& p10(X33) )
| ( ~ p9(X33)
& ~ p10(X33) )
| ( p10(X33)
& p9(X33) )
| ( ~ p8(X33)
& ~ p9(X33) )
| ( p9(X33)
& p8(X33) )
| ( ~ p7(X33)
& ~ p8(X33) )
| ( p8(X33)
& p7(X33) )
| ( ~ p6(X33)
& ~ p7(X33) )
| ( p7(X33)
& p6(X33) )
| ( ~ p5(X33)
& ~ p6(X33) )
| ( p6(X33)
& p5(X33) )
| ( ~ p4(X33)
& ~ p5(X33) )
| ( p5(X33)
& p4(X33) )
| ( ~ p3(X33)
& ~ p4(X33) )
| ( p4(X33)
& p3(X33) )
| ( ~ p2(X33)
& ~ p3(X33) )
| ( p3(X33)
& p2(X33) )
| ( ~ p1(X33)
& ~ p2(X33) )
| ( p2(X33)
& p1(X33) ) ) ) ),
introduced(definition,[new_symbols(definition,[ren14])],[main_nc_elimTB]) ).
% FOF SIMPLE INFERENCE
fof(ren14_elimImpEquivPushNegMiniScope,plain,
! [X1] :
( ( ? [X2] :
( r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ? [X13] :
( r1(X12,X13)
& ? [X14] : r1(X13,X14)
& ! [X15] :
( ~ r1(X13,X15)
| ~ ren1(X15) ) )
& ! [X16] :
( ~ r1(X12,X16)
| ~ ren2(X16) ) )
& ! [X17] :
( ~ r1(X11,X17)
| ~ ren3(X17) ) )
& ! [X18] :
( ~ r1(X10,X18)
| ~ ren4(X18) ) )
& ! [X19] :
( ~ r1(X9,X19)
| ~ ren5(X19) ) )
& ! [X20] :
( ~ r1(X8,X20)
| ~ ren6(X20) ) )
& ! [X21] :
( ~ r1(X7,X21)
| ~ ren7(X21) ) )
& ! [X22] :
( ~ r1(X6,X22)
| ~ ren8(X22) ) )
& ! [X23] :
( ~ r1(X5,X23)
| ~ ren9(X23) ) )
& ! [X24] :
( ~ r1(X4,X24)
| ~ ren10(X24) ) )
& ! [X25] :
( ~ r1(X3,X25)
| ~ ren11(X25) ) )
& ! [X26] :
( ~ r1(X2,X26)
| ~ ren12(X26) ) )
& ! [X27] :
( ~ r1(X1,X27)
| ~ ren13(X27) )
& ? [X28] :
( r1(X1,X28)
& ~ p15(X28) )
& ? [X29] :
( r1(X1,X29)
& ( p13(X29)
| p14(X29) )
& ( ~ p14(X29)
| ~ p13(X29) )
& ( p12(X29)
| p13(X29) )
& ( ~ p13(X29)
| ~ p12(X29) )
& ( p11(X29)
| p12(X29) )
& ( ~ p12(X29)
| ~ p11(X29) )
& ( p10(X29)
| p11(X29) )
& ( ~ p11(X29)
| ~ p10(X29) )
& ( p9(X29)
| p10(X29) )
& ( ~ p10(X29)
| ~ p9(X29) )
& ( p8(X29)
| p9(X29) )
& ( ~ p9(X29)
| ~ p8(X29) )
& ( p7(X29)
| p8(X29) )
& ( ~ p8(X29)
| ~ p7(X29) )
& ( p6(X29)
| p7(X29) )
& ( ~ p7(X29)
| ~ p6(X29) )
& ( p5(X29)
| p6(X29) )
& ( ~ p6(X29)
| ~ p5(X29) )
& ( p4(X29)
| p5(X29) )
& ( ~ p5(X29)
| ~ p4(X29) )
& ( p3(X29)
| p4(X29) )
& ( ~ p4(X29)
| ~ p3(X29) )
& ( p2(X29)
| p3(X29) )
& ( ~ p3(X29)
| ~ p2(X29) )
& ( p1(X29)
| p2(X29) )
& ( ~ p2(X29)
| ~ p1(X29) ) ) )
| ren14(X1) ),
inference(elimImpEquivPushNegMiniScope,[status(thm)],[ren14_defn]) ).
% FOF SKOLEM INFERENCE. WIP!!
fof(ren14_skol,plain,
! [X1] :
( ( r1(X1,skf1(X1))
& r1(skf1(X1),skf2(X1))
& r1(skf2(X1),skf3(X1))
& r1(skf3(X1),skf4(X1))
& r1(skf4(X1),skf5(X1))
& r1(skf5(X1),skf6(X1))
& r1(skf6(X1),skf7(X1))
& r1(skf7(X1),skf8(X1))
& r1(skf8(X1),skf9(X1))
& r1(skf9(X1),skf10(X1))
& r1(skf10(X1),skf11(X1))
& r1(skf11(X1),skf12(X1))
& r1(skf12(X1),skf13(X1))
& ! [X15] :
( ~ r1(skf12(X1),X15)
| ~ ren1(X15) )
& ! [X16] :
( ~ r1(skf11(X1),X16)
| ~ ren2(X16) )
& ! [X17] :
( ~ r1(skf10(X1),X17)
| ~ ren3(X17) )
& ! [X18] :
( ~ r1(skf9(X1),X18)
| ~ ren4(X18) )
& ! [X19] :
( ~ r1(skf8(X1),X19)
| ~ ren5(X19) )
& ! [X20] :
( ~ r1(skf7(X1),X20)
| ~ ren6(X20) )
& ! [X21] :
( ~ r1(skf6(X1),X21)
| ~ ren7(X21) )
& ! [X22] :
( ~ r1(skf5(X1),X22)
| ~ ren8(X22) )
& ! [X23] :
( ~ r1(skf4(X1),X23)
| ~ ren9(X23) )
& ! [X24] :
( ~ r1(skf3(X1),X24)
| ~ ren10(X24) )
& ! [X25] :
( ~ r1(skf2(X1),X25)
| ~ ren11(X25) )
& ! [X26] :
( ~ r1(skf1(X1),X26)
| ~ ren12(X26) )
& ! [X27] :
( ~ r1(X1,X27)
| ~ ren13(X27) )
& r1(X1,skf14(X1))
& ~ p15(skf14(X1))
& r1(X1,skf15(X1))
& ( p13(skf15(X1))
| p14(skf15(X1)) )
& ( ~ p14(skf15(X1))
| ~ p13(skf15(X1)) )
& ( p12(skf15(X1))
| p13(skf15(X1)) )
& ( ~ p13(skf15(X1))
| ~ p12(skf15(X1)) )
& ( p11(skf15(X1))
| p12(skf15(X1)) )
& ( ~ p12(skf15(X1))
| ~ p11(skf15(X1)) )
& ( p10(skf15(X1))
| p11(skf15(X1)) )
& ( ~ p11(skf15(X1))
| ~ p10(skf15(X1)) )
& ( p9(skf15(X1))
| p10(skf15(X1)) )
& ( ~ p10(skf15(X1))
| ~ p9(skf15(X1)) )
& ( p8(skf15(X1))
| p9(skf15(X1)) )
& ( ~ p9(skf15(X1))
| ~ p8(skf15(X1)) )
& ( p7(skf15(X1))
| p8(skf15(X1)) )
& ( ~ p8(skf15(X1))
| ~ p7(skf15(X1)) )
& ( p6(skf15(X1))
| p7(skf15(X1)) )
& ( ~ p7(skf15(X1))
| ~ p6(skf15(X1)) )
& ( p5(skf15(X1))
| p6(skf15(X1)) )
& ( ~ p6(skf15(X1))
| ~ p5(skf15(X1)) )
& ( p4(skf15(X1))
| p5(skf15(X1)) )
& ( ~ p5(skf15(X1))
| ~ p4(skf15(X1)) )
& ( p3(skf15(X1))
| p4(skf15(X1)) )
& ( ~ p4(skf15(X1))
| ~ p3(skf15(X1)) )
& ( p2(skf15(X1))
| p3(skf15(X1)) )
& ( ~ p3(skf15(X1))
| ~ p2(skf15(X1)) )
& ( p1(skf15(X1))
| p2(skf15(X1)) )
& ( ~ p2(skf15(X1))
| ~ p1(skf15(X1)) ) )
| ren14(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[skf1,skf2,skf3,skf4,skf5,skf6,skf7,skf8,skf9,skf10,skf11,skf12,skf13,skf14,skf15]),skolemize(X2,skf1(X1)),skolemize(X3,skf2(X1)),skolemize(X4,skf3(X1)),skolemize(X5,skf4(X1)),skolemize(X6,skf5(X1)),skolemize(X7,skf6(X1)),skolemize(X8,skf7(X1)),skolemize(X9,skf8(X1)),skolemize(X10,skf9(X1)),skolemize(X11,skf10(X1)),skolemize(X12,skf11(X1)),skolemize(X13,skf12(X1)),skolemize(X14,skf13(X1)),skolemize(X28,skf14(X1)),skolemize(X29,skf15(X1))],[ren14_elimImpEquivPushNegMiniScope]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_54,plain,
( ~ r1(X0,X1)
| ~ ren13(X1)
| ren14(X0) ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren14_skol])]) ).
% CNF SPASS RESOLUTION.
cnf(c_90,plain,
( ~ ren13(X0)
| ren14(X0) ),
inference(resolution,[status(thm)],[c_1,c_54]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_57,plain,
( r1(X0,skf15(X0))
| ren14(X0) ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren14_skol])]) ).
% FOF INTRODUCE RENAMING
fof(ren1_defn,definition,
! [X19] :
( ren1(X19)
<= ( ( p14(X19)
& ~ p13(X19) )
| ( ~ p14(X19)
& p13(X19) ) ) ),
introduced(definition,[new_symbols(definition,[ren1])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren2_defn,definition,
! [X20] :
( ren2(X20)
<= ( ( p13(X20)
& ~ p12(X20) )
| ( ~ p13(X20)
& p12(X20) ) ) ),
introduced(definition,[new_symbols(definition,[ren2])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren3_defn,definition,
! [X21] :
( ren3(X21)
<= ( ( p12(X21)
& ~ p11(X21) )
| ( ~ p12(X21)
& p11(X21) ) ) ),
introduced(definition,[new_symbols(definition,[ren3])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren4_defn,definition,
! [X22] :
( ren4(X22)
<= ( ( p11(X22)
& ~ p10(X22) )
| ( ~ p11(X22)
& p10(X22) ) ) ),
introduced(definition,[new_symbols(definition,[ren4])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren5_defn,definition,
! [X23] :
( ren5(X23)
<= ( ( p10(X23)
& ~ p9(X23) )
| ( ~ p10(X23)
& p9(X23) ) ) ),
introduced(definition,[new_symbols(definition,[ren5])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren6_defn,definition,
! [X24] :
( ren6(X24)
<= ( ( p9(X24)
& ~ p8(X24) )
| ( ~ p9(X24)
& p8(X24) ) ) ),
introduced(definition,[new_symbols(definition,[ren6])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren7_defn,definition,
! [X25] :
( ren7(X25)
<= ( ( p8(X25)
& ~ p7(X25) )
| ( ~ p8(X25)
& p7(X25) ) ) ),
introduced(definition,[new_symbols(definition,[ren7])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren8_defn,definition,
! [X26] :
( ren8(X26)
<= ( ( p7(X26)
& ~ p6(X26) )
| ( ~ p7(X26)
& p6(X26) ) ) ),
introduced(definition,[new_symbols(definition,[ren8])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren9_defn,definition,
! [X27] :
( ren9(X27)
<= ( ( p6(X27)
& ~ p5(X27) )
| ( ~ p6(X27)
& p5(X27) ) ) ),
introduced(definition,[new_symbols(definition,[ren9])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren10_defn,definition,
! [X28] :
( ren10(X28)
<= ( ( p5(X28)
& ~ p4(X28) )
| ( ~ p5(X28)
& p4(X28) ) ) ),
introduced(definition,[new_symbols(definition,[ren10])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren11_defn,definition,
! [X29] :
( ren11(X29)
<= ( ( p4(X29)
& ~ p3(X29) )
| ( ~ p4(X29)
& p3(X29) ) ) ),
introduced(definition,[new_symbols(definition,[ren11])],[main_nc_elimTB]) ).
% FOF INTRODUCE RENAMING
fof(ren12_defn,definition,
! [X30] :
( ren12(X30)
<= ( ( p3(X30)
& ~ p2(X30) )
| ( ~ p3(X30)
& p2(X30) ) ) ),
introduced(definition,[new_symbols(definition,[ren12])],[main_nc_elimTB]) ).
% FOF RENAMING INFERENCE
fof(main_nc_renObv,negated_conjecture,
? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X3] :
( ~ r1(X2,X3)
| ~ p1(X3) ) )
| ! [X4] :
( ~ r1(X1,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ ren14(X5) ) ) ),
inference(renaming,[status(esa)],[main_nc_elimTB,ren1_defn,ren2_defn,ren3_defn,ren4_defn,ren5_defn,ren6_defn,ren7_defn,ren8_defn,ren9_defn,ren10_defn,ren11_defn,ren12_defn,ren13_defn,ren14_defn]) ).
% FOF SIMPLE INFERENCE
fof(main_nc_elimImpEquivPushNegMiniScope,negated_conjecture,
? [X1] :
( ? [X2] :
( r1(X1,X2)
& p15(X2)
& ? [X3] :
( r1(X2,X3)
& p1(X3) ) )
& ? [X4] :
( r1(X1,X4)
& ! [X5] :
( ~ r1(X4,X5)
| ~ ren14(X5) ) ) ),
inference(elimImpEquivPushNegMiniScope,[status(thm)],[main_nc_renObv]) ).
% FOF SKOLEM INFERENCE. WIP!!
fof(main_nc_skol,negated_conjecture,
( r1(skc16,skc17)
& p15(skc17)
& r1(skc17,skc18)
& p1(skc18)
& r1(skc16,skc19)
& ! [X5] :
( ~ r1(skc19,X5)
| ~ ren14(X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[skc16,skc17,skc18,skc19]),skolemize(X1,skc16),skolemize(X2,skc17),skolemize(X3,skc18),skolemize(X4,skc19)],[main_nc_elimImpEquivPushNegMiniScope]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_89,plain,
( ~ r1(skc19,X0)
| ~ ren14(X0) ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[main_nc_skol])]) ).
% CNF SPASS RESOLUTION.
cnf(c_92,plain,
~ ren14(skc19),
inference(resolution,[status(thm)],[c_1,c_89]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_28,plain,
( ~ p1(X0)
| p2(X0)
| ren13(X0) ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren13_elimImpEquivPushNegMiniScope])]) ).
% CNF SPASS RESOLUTION.
cnf(c_107,plain,
( ~ p1(X0)
| ren14(X0)
| p2(X0) ),
inference(resolution,[status(thm)],[c_90,c_28]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_82,plain,
( p1(skf15(X0))
| p2(skf15(X0))
| ren14(X0) ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren14_skol])]) ).
% CNF SPASS RESOLUTION.
cnf(c_105,plain,
( p1(skf15(skc19))
| p2(skf15(skc19)) ),
inference(resolution,[status(thm)],[c_82,c_92]) ).
% CNF SPASS RESOLUTION.
cnf(c_108,plain,
p2(skf15(skc19)),
inference(resolution,[status(thm)],[c_57,c_89,c_92,c_107,c_105]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_83,plain,
( ~ p2(skf15(X0))
| ~ p1(skf15(X0))
| ren14(X0) ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren14_skol])]) ).
% CNF SPASS RESOLUTION.
cnf(c_109,plain,
( ~ p2(skf15(skc19))
| ~ p1(skf15(skc19)) ),
inference(resolution,[status(thm)],[c_83,c_92]) ).
% CNF SPASS RESOLUTION.
cnf(c_110,plain,
~ p1(skf15(skc19)),
inference(resolution,[status(thm)],[c_108,c_109]) ).
% CNF SPASS RESOLUTION.
cnf(c_111,plain,
( ~ ren14(skf15(skc19))
| ren14(skc19) ),
inference(resolution,[status(thm)],[c_89,c_57]) ).
% CNF SPASS RESOLUTION.
cnf(c_112,plain,
~ ren14(skf15(skc19)),
inference(resolution,[status(thm)],[c_92,c_111]) ).
% CNF SPASS RESOLUTION.
cnf(c_113,plain,
$false,
inference(resolution,[status(thm)],[c_27,c_90,c_110,c_108,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 4 18:47:12 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.30
% 0.02/0.30 % Input Clauses:
% 0.02/0.30 % 1:1:1:INP:Top: -> r1(x0,x0)
% 0.02/0.30 % 2:3:3:INP:TopTopTop: r1(x0,x1),r1(x1,x2) -> r1(x0,x2)
% 0.02/0.30 % 3:3:1:INP:Top: p14(x0) -> p13(x0),ren1(x0)
% 0.02/0.30 % 4:3:1:INP:Top: p13(x0) -> p14(x0),ren1(x0)
% 0.02/0.30 % 5:3:1:INP:Top: p13(x0) -> p12(x0),ren2(x0)
% 0.02/0.30 % 6:3:1:INP:Top: p12(x0) -> p13(x0),ren2(x0)
% 0.02/0.30 % 7:3:1:INP:Top: p12(x0) -> p11(x0),ren3(x0)
% 0.02/0.30 % 8:3:1:INP:Top: p11(x0) -> p12(x0),ren3(x0)
% 0.02/0.30 % 9:3:1:INP:Top: p11(x0) -> p10(x0),ren4(x0)
% 0.02/0.30 % 10:3:1:INP:Top: p10(x0) -> p11(x0),ren4(x0)
% 0.02/0.30 % 11:3:1:INP:Top: p10(x0) -> p9(x0),ren5(x0)
% 0.02/0.30 % 12:3:1:INP:Top: p9(x0) -> p10(x0),ren5(x0)
% 0.02/0.30 % 13:3:1:INP:Top: p9(x0) -> p8(x0),ren6(x0)
% 0.02/0.30 % 14:3:1:INP:Top: p8(x0) -> p9(x0),ren6(x0)
% 0.02/0.30 % 15:3:1:INP:Top: p8(x0) -> p7(x0),ren7(x0)
% 0.02/0.30 % 16:3:1:INP:Top: p7(x0) -> p8(x0),ren7(x0)
% 0.02/0.30 % 17:3:1:INP:Top: p7(x0) -> p6(x0),ren8(x0)
% 0.02/0.30 % 18:3:1:INP:Top: p6(x0) -> p7(x0),ren8(x0)
% 0.02/0.30 % 19:3:1:INP:Top: p6(x0) -> p5(x0),ren9(x0)
% 0.02/0.30 % 20:3:1:INP:Top: p5(x0) -> p6(x0),ren9(x0)
% 0.02/0.30 % 21:3:1:INP:Top: p5(x0) -> p4(x0),ren10(x0)
% 0.02/0.30 % 22:3:1:INP:Top: p4(x0) -> p5(x0),ren10(x0)
% 0.02/0.30 % 23:3:1:INP:Top: p4(x0) -> p3(x0),ren11(x0)
% 0.02/0.30 % 24:3:1:INP:Top: p3(x0) -> p4(x0),ren11(x0)
% 0.02/0.30 % 25:3:1:INP:Top: p3(x0) -> p2(x0),ren12(x0)
% 0.02/0.30 % 26:3:1:INP:Top: p2(x0) -> p3(x0),ren12(x0)
% 0.02/0.30 % 27:3:1:INP:Top: p2(x0) -> p1(x0),ren13(x0)
% 0.02/0.30 % 28:3:1:INP:Top: p1(x0) -> p2(x0),ren13(x0)
% 0.02/0.30 % 29:2:1:INP:Top: -> r1(x0,skf1(x0)),ren14(x0)
% 0.02/0.30 % 30:2:1:INP:Top: -> r1(skf1(x0),skf2(x0)),ren14(x0)
% 0.02/0.30 % 31:2:1:INP:Top: -> r1(skf2(x0),skf3(x0)),ren14(x0)
% 0.02/0.30 % 32:2:1:INP:Top: -> r1(skf3(x0),skf4(x0)),ren14(x0)
% 0.02/0.30 % 33:2:1:INP:Top: -> r1(skf4(x0),skf5(x0)),ren14(x0)
% 0.02/0.30 % 34:2:1:INP:Top: -> r1(skf5(x0),skf6(x0)),ren14(x0)
% 0.02/0.30 % 35:2:1:INP:Top: -> r1(skf6(x0),skf7(x0)),ren14(x0)
% 0.02/0.30 % 36:2:1:INP:Top: -> r1(skf7(x0),skf8(x0)),ren14(x0)
% 0.02/0.30 % 37:2:1:INP:Top: -> r1(skf8(x0),skf9(x0)),ren14(x0)
% 0.02/0.30 % 38:2:1:INP:Top: -> r1(skf9(x0),skf10(x0)),ren14(x0)
% 0.02/0.30 % 39:2:1:INP:Top: -> r1(skf10(x0),skf11(x0)),ren14(x0)
% 0.02/0.30 % 40:2:1:INP:Top: -> r1(skf11(x0),skf12(x0)),ren14(x0)
% 0.02/0.30 % 41:2:1:INP:Top: -> r1(skf12(x0),skf13(x0)),ren14(x0)
% 0.02/0.30 % 42:3:2:INP:TopTop: r1(skf12(x0),x1),ren1(x1) -> ren14(x0)
% 0.02/0.30 % 43:3:2:INP:TopTop: r1(skf11(x0),x1),ren2(x1) -> ren14(x0)
% 0.02/0.30 % 44:3:2:INP:TopTop: r1(skf10(x0),x1),ren3(x1) -> ren14(x0)
% 0.02/0.30 % 45:3:2:INP:TopTop: r1(skf9(x0),x1),ren4(x1) -> ren14(x0)
% 0.02/0.30 % 46:3:2:INP:TopTop: r1(skf8(x0),x1),ren5(x1) -> ren14(x0)
% 0.02/0.30 % 47:3:2:INP:TopTop: r1(skf7(x0),x1),ren6(x1) -> ren14(x0)
% 0.02/0.30 % 48:3:2:INP:TopTop: r1(skf6(x0),x1),ren7(x1) -> ren14(x0)
% 0.02/0.30 % 49:3:2:INP:TopTop: r1(skf5(x0),x1),ren8(x1) -> ren14(x0)
% 0.02/0.30 % 50:3:2:INP:TopTop: r1(skf4(x0),x1),ren9(x1) -> ren14(x0)
% 0.02/0.30 % 51:3:2:INP:TopTop: r1(skf3(x0),x1),ren10(x1) -> ren14(x0)
% 0.02/0.30 % 52:3:2:INP:TopTop: r1(skf2(x0),x1),ren11(x1) -> ren14(x0)
% 0.02/0.30 % 53:3:2:INP:TopTop: r1(skf1(x0),x1),ren12(x1) -> ren14(x0)
% 0.02/0.30 % 54:3:2:INP:TopTop: r1(x0,x1),ren13(x1) -> ren14(x0)
% 0.02/0.30 % 55:2:1:INP:Top: -> r1(x0,skf14(x0)),ren14(x0)
% 0.02/0.30 % 56:2:1:INP:Top: p15(skf14(x0)) -> ren14(x0)
% 0.02/0.30 % 57:2:1:INP:Top: -> r1(x0,skf15(x0)),ren14(x0)
% 0.02/0.30 % 58:3:1:INP:Top: -> p13(skf15(x0)),p14(skf15(x0)),ren14(x0)
% 0.02/0.30 % 59:3:1:INP:Top: p14(skf15(x0)),p13(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 60:3:1:INP:Top: -> p12(skf15(x0)),p13(skf15(x0)),ren14(x0)
% 0.02/0.30 % 61:3:1:INP:Top: p13(skf15(x0)),p12(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 62:3:1:INP:Top: -> p11(skf15(x0)),p12(skf15(x0)),ren14(x0)
% 0.02/0.30 % 63:3:1:INP:Top: p12(skf15(x0)),p11(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 64:3:1:INP:Top: -> p10(skf15(x0)),p11(skf15(x0)),ren14(x0)
% 0.02/0.30 % 65:3:1:INP:Top: p11(skf15(x0)),p10(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 66:3:1:INP:Top: -> p9(skf15(x0)),p10(skf15(x0)),ren14(x0)
% 0.02/0.30 % 67:3:1:INP:Top: p10(skf15(x0)),p9(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 68:3:1:INP:Top: -> p8(skf15(x0)),p9(skf15(x0)),ren14(x0)
% 0.02/0.30 % 69:3:1:INP:Top: p9(skf15(x0)),p8(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 70:3:1:INP:Top: -> p7(skf15(x0)),p8(skf15(x0)),ren14(x0)
% 0.02/0.30 % 71:3:1:INP:Top: p8(skf15(x0)),p7(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 72:3:1:INP:Top: -> p6(skf15(x0)),p7(skf15(x0)),ren14(x0)
% 0.02/0.30 % 73:3:1:INP:Top: p7(skf15(x0)),p6(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 74:3:1:INP:Top: -> p5(skf15(x0)),p6(skf15(x0)),ren14(x0)
% 0.02/0.30 % 75:3:1:INP:Top: p6(skf15(x0)),p5(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 76:3:1:INP:Top: -> p4(skf15(x0)),p5(skf15(x0)),ren14(x0)
% 0.02/0.30 % 77:3:1:INP:Top: p5(skf15(x0)),p4(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 78:3:1:INP:Top: -> p3(skf15(x0)),p4(skf15(x0)),ren14(x0)
% 0.02/0.30 % 79:3:1:INP:Top: p4(skf15(x0)),p3(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 80:3:1:INP:Top: -> p2(skf15(x0)),p3(skf15(x0)),ren14(x0)
% 0.02/0.30 % 81:3:1:INP:Top: p3(skf15(x0)),p2(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 82:3:1:INP:Top: -> p1(skf15(x0)),p2(skf15(x0)),ren14(x0)
% 0.02/0.30 % 83:3:1:INP:Top: p2(skf15(x0)),p1(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 84:1:0:INP:: -> r1(skc16,skc17)
% 0.02/0.30 % 85:1:0:INP:: -> p15(skc17)
% 0.02/0.30 % 86:1:0:INP:: -> r1(skc17,skc18)
% 0.02/0.30 % 87:1:0:INP:: -> p1(skc18)
% 0.02/0.30 % 88:1:0:INP:: -> r1(skc16,skc19)
% 0.02/0.30 % 89:2:1:INP:Top: r1(skc19,x0),ren14(x0) ->
% 0.02/0.30
% 0.02/0.30 % Predicates: r1 p15 p1 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 ren1 ren2 ren3 ren4 ren5 ren6 ren7 ren8 ren9 ren10 ren11 ren12 ren13 ren14
% 0.02/0.30 % Fol Constants: skc16 skc17 skc18 skc19
% 0.02/0.30 % Fol Functions: skf1 skf2 skf3 skf4 skf5 skf6 skf7 skf8 skf9 skf10 skf11 skf12 skf13 skf14 skf15
% 0.02/0.30 % Problem Properties:
% 0.02/0.30 % This is a full first-order problem without equality. The Problem is non-linear.
% 0.02/0.30
% 0.02/0.30
% 0.02/0.30 % Reduced Input Axiom Clauses:
% 0.02/0.30 % 1:1:1:INP:Top: -> r1(x0,x0)
% 0.02/0.30 % 2:3:3:INP:TopTopTop: r1(x0,x1),r1(x1,x2) -> r1(x0,x2)
% 0.02/0.30 % 3:3:1:INP:Top: p14(x0) -> p13(x0),ren1(x0)
% 0.02/0.30 % 4:3:1:INP:Top: p13(x0) -> p14(x0),ren1(x0)
% 0.02/0.30 % 5:3:1:INP:Top: p13(x0) -> p12(x0),ren2(x0)
% 0.02/0.30 % 6:3:1:INP:Top: p12(x0) -> p13(x0),ren2(x0)
% 0.02/0.30 % 7:3:1:INP:Top: p12(x0) -> p11(x0),ren3(x0)
% 0.02/0.30 % 8:3:1:INP:Top: p11(x0) -> p12(x0),ren3(x0)
% 0.02/0.30 % 9:3:1:INP:Top: p11(x0) -> p10(x0),ren4(x0)
% 0.02/0.30 % 10:3:1:INP:Top: p10(x0) -> p11(x0),ren4(x0)
% 0.02/0.30 % 11:3:1:INP:Top: p10(x0) -> p9(x0),ren5(x0)
% 0.02/0.30 % 12:3:1:INP:Top: p9(x0) -> p10(x0),ren5(x0)
% 0.02/0.30 % 13:3:1:INP:Top: p9(x0) -> p8(x0),ren6(x0)
% 0.02/0.30 % 14:3:1:INP:Top: p8(x0) -> p9(x0),ren6(x0)
% 0.02/0.30 % 15:3:1:INP:Top: p8(x0) -> p7(x0),ren7(x0)
% 0.02/0.30 % 16:3:1:INP:Top: p7(x0) -> p8(x0),ren7(x0)
% 0.02/0.30 % 17:3:1:INP:Top: p7(x0) -> p6(x0),ren8(x0)
% 0.02/0.30 % 18:3:1:INP:Top: p6(x0) -> p7(x0),ren8(x0)
% 0.02/0.30 % 19:3:1:INP:Top: p6(x0) -> p5(x0),ren9(x0)
% 0.02/0.30 % 20:3:1:INP:Top: p5(x0) -> p6(x0),ren9(x0)
% 0.02/0.30 % 21:3:1:INP:Top: p5(x0) -> p4(x0),ren10(x0)
% 0.02/0.30 % 22:3:1:INP:Top: p4(x0) -> p5(x0),ren10(x0)
% 0.02/0.30 % 23:3:1:INP:Top: p4(x0) -> p3(x0),ren11(x0)
% 0.02/0.30 % 24:3:1:INP:Top: p3(x0) -> p4(x0),ren11(x0)
% 0.02/0.30 % 25:3:1:INP:Top: p3(x0) -> p2(x0),ren12(x0)
% 0.02/0.30 % 26:3:1:INP:Top: p2(x0) -> p3(x0),ren12(x0)
% 0.02/0.30 % 27:3:1:INP:Top: p2(x0) -> p1(x0),ren13(x0)
% 0.02/0.30 % 28:3:1:INP:Top: p1(x0) -> p2(x0),ren13(x0)
% 0.02/0.30 % 29:2:1:INP:Top: -> r1(x0,skf1(x0)),ren14(x0)
% 0.02/0.30 % 30:2:1:INP:Top: -> r1(skf1(x0),skf2(x0)),ren14(x0)
% 0.02/0.30 % 31:2:1:INP:Top: -> r1(skf2(x0),skf3(x0)),ren14(x0)
% 0.02/0.30 % 32:2:1:INP:Top: -> r1(skf3(x0),skf4(x0)),ren14(x0)
% 0.02/0.30 % 33:2:1:INP:Top: -> r1(skf4(x0),skf5(x0)),ren14(x0)
% 0.02/0.30 % 34:2:1:INP:Top: -> r1(skf5(x0),skf6(x0)),ren14(x0)
% 0.02/0.30 % 35:2:1:INP:Top: -> r1(skf6(x0),skf7(x0)),ren14(x0)
% 0.02/0.30 % 36:2:1:INP:Top: -> r1(skf7(x0),skf8(x0)),ren14(x0)
% 0.02/0.30 % 37:2:1:INP:Top: -> r1(skf8(x0),skf9(x0)),ren14(x0)
% 0.02/0.30 % 38:2:1:INP:Top: -> r1(skf9(x0),skf10(x0)),ren14(x0)
% 0.02/0.30 % 39:2:1:INP:Top: -> r1(skf10(x0),skf11(x0)),ren14(x0)
% 0.02/0.30 % 40:2:1:INP:Top: -> r1(skf11(x0),skf12(x0)),ren14(x0)
% 0.02/0.30 % 41:2:1:INP:Top: -> r1(skf12(x0),skf13(x0)),ren14(x0)
% 0.02/0.30 % 42:3:2:INP:TopTop: r1(skf12(x0),x1),ren1(x1) -> ren14(x0)
% 0.02/0.30 % 43:3:2:INP:TopTop: r1(skf11(x0),x1),ren2(x1) -> ren14(x0)
% 0.02/0.30 % 44:3:2:INP:TopTop: r1(skf10(x0),x1),ren3(x1) -> ren14(x0)
% 0.02/0.30 % 45:3:2:INP:TopTop: r1(skf9(x0),x1),ren4(x1) -> ren14(x0)
% 0.02/0.30 % 46:3:2:INP:TopTop: r1(skf8(x0),x1),ren5(x1) -> ren14(x0)
% 0.02/0.30 % 47:3:2:INP:TopTop: r1(skf7(x0),x1),ren6(x1) -> ren14(x0)
% 0.02/0.30 % 48:3:2:INP:TopTop: r1(skf6(x0),x1),ren7(x1) -> ren14(x0)
% 0.02/0.30 % 49:3:2:INP:TopTop: r1(skf5(x0),x1),ren8(x1) -> ren14(x0)
% 0.02/0.30 % 50:3:2:INP:TopTop: r1(skf4(x0),x1),ren9(x1) -> ren14(x0)
% 0.02/0.30 % 51:3:2:INP:TopTop: r1(skf3(x0),x1),ren10(x1) -> ren14(x0)
% 0.02/0.30 % 52:3:2:INP:TopTop: r1(skf2(x0),x1),ren11(x1) -> ren14(x0)
% 0.02/0.30 % 53:3:2:INP:TopTop: r1(skf1(x0),x1),ren12(x1) -> ren14(x0)
% 0.02/0.30 % 54:3:2:INP:TopTop: r1(x0,x1),ren13(x1) -> ren14(x0)
% 0.02/0.30 % 55:2:1:INP:Top: -> r1(x0,skf14(x0)),ren14(x0)
% 0.02/0.30 % 56:2:1:INP:Top: p15(skf14(x0)) -> ren14(x0)
% 0.02/0.30 % 57:2:1:INP:Top: -> r1(x0,skf15(x0)),ren14(x0)
% 0.02/0.30 % 58:3:1:INP:Top: -> p13(skf15(x0)),p14(skf15(x0)),ren14(x0)
% 0.02/0.30 % 59:3:1:INP:Top: p14(skf15(x0)),p13(skf15(x0)) -> ren14(x0)
% 0.02/0.30 % 60:3:1:INP:Top: -> p12(skf15(x0)),p13(skf15(x0)),ren14(x0)
% 0.02/0.30 % 61:3:1:INP:Top: p13(skf15(x0)),p12(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 62:3:1:INP:Top: -> p11(skf15(x0)),p12(skf15(x0)),ren14(x0)
% 0.65/0.96 % 63:3:1:INP:Top: p12(skf15(x0)),p11(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 64:3:1:INP:Top: -> p10(skf15(x0)),p11(skf15(x0)),ren14(x0)
% 0.65/0.96 % 65:3:1:INP:Top: p11(skf15(x0)),p10(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 66:3:1:INP:Top: -> p9(skf15(x0)),p10(skf15(x0)),ren14(x0)
% 0.65/0.96 % 67:3:1:INP:Top: p10(skf15(x0)),p9(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 68:3:1:INP:Top: -> p8(skf15(x0)),p9(skf15(x0)),ren14(x0)
% 0.65/0.96 % 69:3:1:INP:Top: p9(skf15(x0)),p8(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 70:3:1:INP:Top: -> p7(skf15(x0)),p8(skf15(x0)),ren14(x0)
% 0.65/0.96 % 71:3:1:INP:Top: p8(skf15(x0)),p7(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 72:3:1:INP:Top: -> p6(skf15(x0)),p7(skf15(x0)),ren14(x0)
% 0.65/0.96 % 73:3:1:INP:Top: p7(skf15(x0)),p6(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 74:3:1:INP:Top: -> p5(skf15(x0)),p6(skf15(x0)),ren14(x0)
% 0.65/0.96 % 75:3:1:INP:Top: p6(skf15(x0)),p5(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 76:3:1:INP:Top: -> p4(skf15(x0)),p5(skf15(x0)),ren14(x0)
% 0.65/0.96 % 77:3:1:INP:Top: p5(skf15(x0)),p4(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 78:3:1:INP:Top: -> p3(skf15(x0)),p4(skf15(x0)),ren14(x0)
% 0.65/0.96 % 79:3:1:INP:Top: p4(skf15(x0)),p3(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 80:3:1:INP:Top: -> p2(skf15(x0)),p3(skf15(x0)),ren14(x0)
% 0.65/0.96 % 81:3:1:INP:Top: p3(skf15(x0)),p2(skf15(x0)) -> ren14(x0)
% 0.65/0.96 % 82:3:1:INP:Top: -> p1(skf15(x0)),p2(skf15(x0)),ren14(x0)
% 0.65/0.96 % 83:3:1:INP:Top: p2(skf15(x0)),p1(skf15(x0)) -> ren14(x0)
% 0.65/0.96
% 0.65/0.96 % Reduced Input Conjecture Clauses:
% 0.65/0.96 % 84:1:0:INP:: -> r1(skc16,skc17)
% 0.65/0.96 % 85:1:0:INP:: -> p15(skc17)
% 0.65/0.96 % 86:1:0:INP:: -> r1(skc17,skc18)
% 0.65/0.96 % 87:1:0:INP:: -> p1(skc18)
% 0.65/0.96 % 88:1:0:INP:: -> r1(skc16,skc19)
% 0.65/0.96 % 89:2:1:INP:Top: r1(skc19,x0),ren14(x0) ->
% 0.65/0.96
% 0.65/0.96
% 0.65/0.96 % === Starting SPASS-SCL-FOL A Little Less Naive, considering 238 atoms initially. Used heuristic: lmodel_grow ===
% 0.65/0.96
% 0.65/0.96
% 0.65/0.96
% 0.65/0.96 % SZS status Theorem
% 0.65/0.96 % Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.96
% 0.65/0.96 % SPASS-SCL-FOL Statistics:
% 0.65/0.96 % Number of learned clauses: 21
% 0.65/0.96 % Number of propagations: 3098
% 0.65/0.96 % Number of decisions: 1305
% 0.65/0.96 % Number of resolutions: 29
% 0.65/0.96 % Number of condensations: 0
% 0.65/0.96 % Number of sub resolutions: 2
% 0.65/0.96
% 0.65/0.96 % Solver is done. Empty clause found
% 0.65/0.96
% 0.65/0.96 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.65/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.97 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.65/0.97
% 0.65/0.97
% 0.65/0.97 % Needed: 0:00:00.67
% 0.65/0.97
% 0.65/0.97 % ###
% 0.65/0.97 % ### Pagesize: 8192
% 0.65/0.97 % ### Marksize: 0
% 0.65/0.97 % ### Memory demanded: 15792 KBytes
% 0.65/0.97 % ### Memory freed: 15792 KBytes
% 0.65/0.97 % ### Memory remaining: 0 Bytes
% 0.65/0.97 % ### Pages allocated: 1251 Pages
% 0.65/0.97 % ###
%------------------------------------------------------------------------------