TSTP Solution File: COM012+3 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.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 : 600s
% DateTime : Fri Jul 15 01:28:37 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 185 ( 101 unt; 12 typ; 0 def)
% Number of atoms : 1345 ( 396 equ; 0 cnn)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 2241 ( 482 ~; 427 |; 88 &;1221 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 217 ( 0 ^ 204 !; 13 ?; 217 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aElement0,type,
aElement0: $i > $o ).
thf(tp_aReductOfIn0,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(tp_aRewritingSystem0,type,
aRewritingSystem0: $i > $o ).
thf(tp_iLess0,type,
iLess0: $i > $i > $o ).
thf(tp_sK1_W0,type,
sK1_W0: $i ).
thf(tp_sK2_W0,type,
sK2_W0: $i ).
thf(tp_sdtmndtasgtdt0,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(tp_sdtmndtplgtdt0,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(tp_xR,type,
xR: $i ).
thf(tp_xx,type,
xx: $i ).
thf(tp_xy,type,
xy: $i ).
thf(tp_xz,type,
xz: $i ).
thf(1,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 )
& ( aElement0 @ W3 ) )
=> ( ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
& ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 ) )
=> ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).
thf(2,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
=> $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCbr) ).
thf(3,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mWFOrd) ).
thf(4,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 ) )
=> ! [W2: $i] :
( ( aReductOfIn0 @ W2 @ W0 @ W1 )
=> ( aElement0 @ W2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
thf(5,axiom,
! [W0: $i] :
( ( aRewritingSystem0 @ W0 )
=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mRelSort) ).
thf(6,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSort) ).
thf(7,axiom,
( ( aElement0 @ xx )
& ( aRewritingSystem0 @ xR )
& ( aElement0 @ xy )
& ( aElement0 @ xz ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__349) ).
thf(8,conjecture,
( ( ( ( xx = xy )
| ( ( ( aReductOfIn0 @ xy @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xy ) ) )
& ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ) )
& ( sdtmndtasgtdt0 @ xx @ xR @ xy )
& ( ( xy = xz )
| ( ( ( aReductOfIn0 @ xz @ xy @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xy @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) ) )
& ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ) )
& ( sdtmndtasgtdt0 @ xy @ xR @ xz ) )
=> ( ( xx = xz )
| ( aReductOfIn0 @ xz @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) )
| ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ( sdtmndtasgtdt0 @ xx @ xR @ xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(9,negated_conjecture,
( ( ( ( ( xx = xy )
| ( ( ( aReductOfIn0 @ xy @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xy ) ) )
& ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ) )
& ( sdtmndtasgtdt0 @ xx @ xR @ xy )
& ( ( xy = xz )
| ( ( ( aReductOfIn0 @ xz @ xy @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xy @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) ) )
& ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ) )
& ( sdtmndtasgtdt0 @ xy @ xR @ xz ) )
=> ( ( xx = xz )
| ( aReductOfIn0 @ xz @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) )
| ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ( sdtmndtasgtdt0 @ xx @ xR @ xz ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ( ( ( xx = xy )
| ( ( ( aReductOfIn0 @ xy @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xy ) ) )
& ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ) )
& ( sdtmndtasgtdt0 @ xx @ xR @ xy )
& ( ( xy = xz )
| ( ( ( aReductOfIn0 @ xz @ xy @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xy @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) ) )
& ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ) )
& ( sdtmndtasgtdt0 @ xy @ xR @ xz ) )
=> ( ( xx = xz )
| ( aReductOfIn0 @ xz @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) )
| ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ( sdtmndtasgtdt0 @ xx @ xR @ xz ) ) )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 )
& ( aElement0 @ W3 ) )
=> ( ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
& ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 ) )
=> ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 ) )
=> ! [W2: $i] :
( ( aReductOfIn0 @ W2 @ W0 @ W1 )
=> ( aElement0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
( ( ! [W0: $i] :
( ( aRewritingSystem0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [W0: $i] :
( ( aElement0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ( aElement0 @ xx )
& ( aRewritingSystem0 @ xR )
& ( aElement0 @ xy )
& ( aElement0 @ xz ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(18,plain,
( ( ( xx = xy )
| ( ( ( aReductOfIn0 @ xy @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xy ) ) )
& ( sdtmndtplgtdt0 @ xx @ xR @ xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[10]) ).
thf(19,plain,
( ( sdtmndtasgtdt0 @ xx @ xR @ xy )
= $true ),
inference(standard_cnf,[status(thm)],[10]) ).
thf(20,plain,
( ( ( xy = xz )
| ( ( ( aReductOfIn0 @ xz @ xy @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xy @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) ) )
& ( sdtmndtplgtdt0 @ xy @ xR @ xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[10]) ).
thf(21,plain,
( ( sdtmndtasgtdt0 @ xy @ xR @ xz )
= $true ),
inference(standard_cnf,[status(thm)],[10]) ).
thf(22,plain,
( ( ( xx = xz )
| ( aReductOfIn0 @ xz @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) )
| ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ( sdtmndtasgtdt0 @ xx @ xR @ xz ) )
= $false ),
inference(standard_cnf,[status(thm)],[10]) ).
thf(23,plain,
( ( ~ ( ( xx = xz )
| ( aReductOfIn0 @ xz @ xx @ xR )
| ? [W0: $i] :
( ( aElement0 @ W0 )
& ( aReductOfIn0 @ W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) )
| ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ( sdtmndtasgtdt0 @ xx @ xR @ xz ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(24,plain,
( ( ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz )
& ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) )
& ( xx != xz )
& ~ ( aReductOfIn0 @ xz @ xx @ xR ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(25,plain,
( ( ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
| ( xx = xy ) )
& ( ( ( aElement0 @ sK1_W0 )
& ( aReductOfIn0 @ sK1_W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
| ( aReductOfIn0 @ xy @ xx @ xR )
| ( xx = xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(26,plain,
( ( ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
| ( xy = xz ) )
& ( ( ( aElement0 @ sK2_W0 )
& ( aReductOfIn0 @ sK2_W0 @ xy @ xR )
& ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
| ( aReductOfIn0 @ xz @ xy @ xR )
| ( xy = xz ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(27,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aElement0 @ W3 )
| ~ ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 )
| ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(28,plain,
( ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 )
| $true ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(29,plain,
( ( ! [W0: $i] :
~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aElement0 @ W1 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(30,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
( ~ ( aReductOfIn0 @ W2 @ W0 @ W1 )
| ( aElement0 @ W2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(31,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(32,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(33,plain,
( ( ( aElement0 @ xx )
& ( aRewritingSystem0 @ xR )
& ( aElement0 @ xy )
& ( aElement0 @ xz ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(34,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(35,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(36,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
( ~ ( aReductOfIn0 @ W2 @ W0 @ W1 )
| ( aElement0 @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(37,plain,
( ( ! [W0: $i] :
~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aElement0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(38,plain,
( ( ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 )
| $true ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(39,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aRewritingSystem0 @ W1 )
| ~ ( aElement0 @ W2 )
| ~ ( aElement0 @ W3 )
| ~ ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
| ~ ( sdtmndtplgtdt0 @ W2 @ W1 @ W3 )
| ( sdtmndtplgtdt0 @ W0 @ W1 @ W3 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(40,plain,
( ( sdtmndtasgtdt0 @ xy @ xR @ xz )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(41,plain,
( ( ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
| ( xy = xz ) )
& ( ( ( aElement0 @ sK2_W0 )
& ( aReductOfIn0 @ sK2_W0 @ xy @ xR )
& ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
| ( aReductOfIn0 @ xz @ xy @ xR )
| ( xy = xz ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(42,plain,
( ( sdtmndtasgtdt0 @ xx @ xR @ xy )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(43,plain,
( ( ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
| ( xx = xy ) )
& ( ( ( aElement0 @ sK1_W0 )
& ( aReductOfIn0 @ sK1_W0 @ xx @ xR )
& ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
| ( aReductOfIn0 @ xy @ xx @ xR )
| ( xx = xy ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(44,plain,
( ( ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz )
& ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz )
& ! [W0: $i] :
( ~ ( aElement0 @ W0 )
| ~ ( aReductOfIn0 @ W0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ W0 @ xR @ xz ) )
& ( xx != xz )
& ~ ( aReductOfIn0 @ xz @ xx @ xR ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(45,plain,
( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
| ( xx = xy ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
| ( aReductOfIn0 @ xy @ xx @ xR )
| ( xx = xy ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(46,plain,
( ( ~ ( ~ ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
| ( xy = xz ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
| ( aReductOfIn0 @ xz @ xy @ xR )
| ( xy = xz ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(47,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) )
| ~ ( aElement0 @ xy ) )
| ~ ( aElement0 @ xz ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(48,plain,
( ( ~ ( ~ ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz )
| ~ ~ ( ~ ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(49,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(50,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(51,plain,
! [SV3: $i] :
( ( ! [SY17: $i] :
( ~ ( aElement0 @ SV3 )
| ~ ( aRewritingSystem0 @ SY17 )
| ! [SY18: $i] :
( ~ ( aReductOfIn0 @ SY18 @ SV3 @ SY17 )
| ( aElement0 @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(52,plain,
( ( ( ! [W0: $i] :
~ ( aElement0 @ W0 )
| ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(53,plain,
! [SV4: $i] :
( ( ~ ( aElement0 @ SV4 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 )
| $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(54,plain,
! [SV5: $i] :
( ( ! [SY21: $i,SY22: $i,SY23: $i] :
( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SY21 )
| ~ ( aElement0 @ SY22 )
| ~ ( aElement0 @ SY23 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SY21 @ SY22 )
| ~ ( sdtmndtplgtdt0 @ SY22 @ SY21 @ SY23 )
| ( sdtmndtplgtdt0 @ SV5 @ SY21 @ SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(55,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
| ( xx = xy ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
| ( aReductOfIn0 @ xy @ xx @ xR )
| ( xx = xy ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(56,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
| ( xy = xz ) )
| ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
| ( aReductOfIn0 @ xz @ xy @ xR )
| ( xy = xz ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) )
| ~ ( aElement0 @ xy ) )
| ~ ( aElement0 @ xz ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(58,plain,
( ( ~ ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz )
| ~ ~ ( ~ ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(59,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( aElement0 @ SV3 )
| ~ ( aRewritingSystem0 @ SV6 )
| ! [SY24: $i] :
( ~ ( aReductOfIn0 @ SY24 @ SV3 @ SV6 )
| ( aElement0 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
( ( ( ! [W0: $i] :
~ ( aElement0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 )
| ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV7: $i,SV5: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV7 )
| ~ ( aElement0 @ SY25 )
| ~ ( aElement0 @ SY26 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SY25 )
| ~ ( sdtmndtplgtdt0 @ SY25 @ SV7 @ SY26 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(63,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
| ( xx = xy ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(64,plain,
( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
| ( aReductOfIn0 @ xy @ xx @ xR )
| ( xx = xy ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
( ( ~ ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
| ( xy = xz ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(66,plain,
( ( ~ ( ~ ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
| ( aReductOfIn0 @ xz @ xy @ xR )
| ( xy = xz ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(67,plain,
( ( ~ ~ ( ~ ~ ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) )
| ~ ( aElement0 @ xy ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(68,plain,
( ( ~ ( aElement0 @ xz ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(69,plain,
( ( ~ ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(70,plain,
( ( ~ ~ ( ~ ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(71,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( aElement0 @ SV3 )
| ~ ( aRewritingSystem0 @ SV6 ) )
= $true )
| ( ( ! [SY24: $i] :
( ~ ( aReductOfIn0 @ SY24 @ SV3 @ SV6 )
| ( aElement0 @ SY24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV8: $i] :
( ( ( ~ ( aElement0 @ SV8 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(73,plain,
! [SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 )
| ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 ) )
= $true )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(74,plain,
! [SV9: $i,SV7: $i,SV5: $i] :
( ( ! [SY27: $i] :
( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV7 )
| ~ ( aElement0 @ SV9 )
| ~ ( aElement0 @ SY27 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SY27 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(75,plain,
( ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
| ( xx = xy ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(76,plain,
( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
| ( aReductOfIn0 @ xy @ xx @ xR )
| ( xx = xy ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(77,plain,
( ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
| ( xy = xz ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(78,plain,
( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
| ( aReductOfIn0 @ xz @ xy @ xR )
| ( xy = xz ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(79,plain,
( ( ~ ( ~ ~ ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) )
| ~ ( aElement0 @ xy ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(80,plain,
( ( aElement0 @ xz )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(81,plain,
( ( ~ ( sdtmndtasgtdt0 @ xx @ xR @ xz ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(82,plain,
( ( ~ ( ~ ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(83,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( aElement0 @ SV3 ) )
= $true )
| ( ( ~ ( aRewritingSystem0 @ SV6 ) )
= $true )
| ( ( ! [SY24: $i] :
( ~ ( aReductOfIn0 @ SY24 @ SV3 @ SV6 )
| ( aElement0 @ SY24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV8: $i] :
( ( ( aElement0 @ SV8 )
= $false )
| ( ( ! [W1: $i] :
~ ( aElement0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(85,plain,
! [SV4: $i] :
( ( ( ~ ( aElement0 @ SV4 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 ) )
= $true )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV7 )
| ~ ( aElement0 @ SV9 )
| ~ ( aElement0 @ SV10 )
| ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(87,plain,
( ( ( sdtmndtplgtdt0 @ xx @ xR @ xy )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(88,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
| ( aReductOfIn0 @ xy @ xx @ xR ) )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(89,plain,
( ( ( sdtmndtplgtdt0 @ xy @ xR @ xz )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(90,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
| ( aReductOfIn0 @ xz @ xy @ xR ) )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(91,plain,
( ( ~ ~ ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) )
| ~ ( aElement0 @ xy ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(92,plain,
( ( sdtmndtasgtdt0 @ xx @ xR @ xz )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(93,plain,
( ( ~ ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV6: $i,SV3: $i] :
( ( ( aElement0 @ SV3 )
= $false )
| ( ( ~ ( aRewritingSystem0 @ SV6 ) )
= $true )
| ( ( ! [SY24: $i] :
( ~ ( aReductOfIn0 @ SY24 @ SV3 @ SV6 )
| ( aElement0 @ SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ( aElement0 @ SV11 ) )
= $true )
| ( ( aElement0 @ SV8 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(96,plain,
! [SV4: $i] :
( ( ( aElement0 @ SV4 )
= $false )
| ( ( ! [W1: $i] :
~ ( aRewritingSystem0 @ W1 ) )
= $true )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(97,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV7 )
| ~ ( aElement0 @ SV9 )
| ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(98,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) ) )
= $true )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(99,plain,
( ( ( ~ ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) ) )
= $true )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(100,plain,
( ( ~ ~ ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(101,plain,
( ( ~ ( aElement0 @ xy ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(102,plain,
( ( ~ ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(103,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(104,plain,
! [SV3: $i,SV6: $i] :
( ( ( aRewritingSystem0 @ SV6 )
= $false )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( ! [SY24: $i] :
( ~ ( aReductOfIn0 @ SY24 @ SV3 @ SV6 )
| ( aElement0 @ SY24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(105,plain,
! [SV8: $i,SV11: $i] :
( ( ( aElement0 @ SV11 )
= $false )
| ( ( aElement0 @ SV8 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(106,plain,
! [SV4: $i,SV12: $i] :
( ( ( ~ ( aRewritingSystem0 @ SV12 ) )
= $true )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(107,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV7 )
| ~ ( aElement0 @ SV9 ) )
= $true )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(108,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
= $false )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(109,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
| ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
= $false )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(110,plain,
( ( ~ ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(111,plain,
( ( aElement0 @ xy )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(112,plain,
( ( ~ ( sdtmndtplgtdt0 @ xx @ xR @ xz ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(113,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(114,plain,
! [SV6: $i,SV3: $i,SV13: $i] :
( ( ( ~ ( aReductOfIn0 @ SV13 @ SV3 @ SV6 )
| ( aElement0 @ SV13 ) )
= $true )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( aRewritingSystem0 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV4: $i,SV12: $i] :
( ( ( aRewritingSystem0 @ SV12 )
= $false )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( ! [W2: $i] :
~ ( aElement0 @ W2 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 )
| ~ ( aRewritingSystem0 @ SV7 ) )
= $true )
| ( ( ~ ( aElement0 @ SV9 ) )
= $true )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(117,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(118,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy ) )
= $false )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(119,plain,
( ( ( ~ ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) ) )
= $false )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(120,plain,
( ( ( ~ ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz ) )
= $false )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(121,plain,
( ( ~ ( aElement0 @ xx )
| ~ ( aRewritingSystem0 @ xR ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(122,plain,
( ( sdtmndtplgtdt0 @ xx @ xR @ xz )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(123,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) )
| ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(124,plain,
! [SV6: $i,SV3: $i,SV13: $i] :
( ( ( ~ ( aReductOfIn0 @ SV13 @ SV3 @ SV6 ) )
= $true )
| ( ( aElement0 @ SV13 )
= $true )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( aRewritingSystem0 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(125,plain,
! [SV12: $i,SV4: $i,SV14: $i] :
( ( ( ~ ( aElement0 @ SV14 ) )
= $true )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( aRewritingSystem0 @ SV12 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(126,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( aElement0 @ SV5 ) )
= $true )
| ( ( ~ ( aRewritingSystem0 @ SV7 ) )
= $true )
| ( ( ~ ( aElement0 @ SV9 ) )
= $true )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(127,plain,
( ( ( ~ ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(128,plain,
( ( ( sdtmndtplgtdt0 @ sK1_W0 @ xR @ xy )
= $true )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(129,plain,
( ( ( ~ ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) ) )
= $true )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(130,plain,
( ( ( sdtmndtplgtdt0 @ sK2_W0 @ xR @ xz )
= $true )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(131,plain,
( ( ~ ( aElement0 @ xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(132,plain,
( ( ~ ( aRewritingSystem0 @ xR ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(133,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(134,plain,
( ( ~ ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(135,plain,
! [SV6: $i,SV3: $i,SV13: $i] :
( ( ( aReductOfIn0 @ SV13 @ SV3 @ SV6 )
= $false )
| ( ( aElement0 @ SV13 )
= $true )
| ( ( aElement0 @ SV3 )
= $false )
| ( ( aRewritingSystem0 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(136,plain,
! [SV12: $i,SV4: $i,SV14: $i] :
( ( ( aElement0 @ SV14 )
= $false )
| ( ( aElement0 @ SV4 )
= $false )
| ( ( aRewritingSystem0 @ SV12 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(137,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( aElement0 @ SV5 )
= $false )
| ( ( ~ ( aRewritingSystem0 @ SV7 ) )
= $true )
| ( ( ~ ( aElement0 @ SV9 ) )
= $true )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(138,plain,
( ( ( ~ ( aElement0 @ sK1_W0 )
| ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(139,plain,
( ( ( ~ ( aElement0 @ sK2_W0 )
| ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(140,plain,
( ( aElement0 @ xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(141,plain,
( ( aRewritingSystem0 @ xR )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(142,plain,
( ( ! [SX0: $i] :
( ~ ( aElement0 @ SX0 )
| ~ ( aReductOfIn0 @ SX0 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SX0 @ xR @ xz ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(143,plain,
( ( ~ ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(144,plain,
! [SV10: $i,SV9: $i,SV5: $i,SV7: $i] :
( ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( ~ ( aElement0 @ SV9 ) )
= $true )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(145,plain,
( ( ( ~ ( aElement0 @ sK1_W0 ) )
= $false )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(146,plain,
( ( ( ~ ( aReductOfIn0 @ sK1_W0 @ xx @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(147,plain,
( ( ( ~ ( aElement0 @ sK2_W0 ) )
= $false )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(148,plain,
( ( ( ~ ( aReductOfIn0 @ sK2_W0 @ xy @ xR ) )
= $false )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(149,plain,
! [SV15: $i] :
( ( ~ ( aElement0 @ SV15 )
| ~ ( aReductOfIn0 @ SV15 @ xx @ xR )
| ~ ( sdtmndtplgtdt0 @ SV15 @ xR @ xz ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(150,plain,
( ( ~ ( ( xx != xz ) )
| ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV10: $i,SV7: $i,SV5: $i,SV9: $i] :
( ( ( aElement0 @ SV9 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( ~ ( aElement0 @ SV10 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(152,plain,
( ( ( aElement0 @ sK1_W0 )
= $true )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(153,plain,
( ( ( aReductOfIn0 @ sK1_W0 @ xx @ xR )
= $true )
| ( ( aReductOfIn0 @ xy @ xx @ xR )
= $true )
| ( ( xx = xy )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(154,plain,
( ( ( aElement0 @ sK2_W0 )
= $true )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(155,plain,
( ( ( aReductOfIn0 @ sK2_W0 @ xy @ xR )
= $true )
| ( ( aReductOfIn0 @ xz @ xy @ xR )
= $true )
| ( ( xy = xz )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(156,plain,
! [SV15: $i] :
( ( ( ~ ( aElement0 @ SV15 )
| ~ ( aReductOfIn0 @ SV15 @ xx @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV15 @ xR @ xz ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(157,plain,
( ( ~ ( ( xx != xz ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(158,plain,
( ( ~ ~ ( aReductOfIn0 @ xz @ xx @ xR ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(159,plain,
! [SV9: $i,SV5: $i,SV7: $i,SV10: $i] :
( ( ( aElement0 @ SV10 )
= $false )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aElement0 @ SV9 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
| ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(160,plain,
! [SV15: $i] :
( ( ( ~ ( aElement0 @ SV15 ) )
= $true )
| ( ( ~ ( aReductOfIn0 @ SV15 @ xx @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV15 @ xR @ xz ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(161,plain,
( ( ( xx != xz ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(162,plain,
( ( ~ ( aReductOfIn0 @ xz @ xx @ xR ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(163,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
| ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 )
= $true )
| ( ( aElement0 @ SV9 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( aElement0 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(164,plain,
! [SV15: $i] :
( ( ( aElement0 @ SV15 )
= $false )
| ( ( ~ ( aReductOfIn0 @ SV15 @ xx @ xR ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV15 @ xR @ xz ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(165,plain,
( ( xx = xz )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(166,plain,
( ( aReductOfIn0 @ xz @ xx @ xR )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(167,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( ~ ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 ) )
= $true )
| ( ( ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 )
= $true )
| ( ( aElement0 @ SV9 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( aElement0 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(168,plain,
! [SV15: $i] :
( ( ( aReductOfIn0 @ SV15 @ xx @ xR )
= $false )
| ( ( aElement0 @ SV15 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV15 @ xR @ xz ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(169,plain,
! [SV10: $i,SV9: $i,SV7: $i,SV5: $i] :
( ( ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
= $false )
| ( ( ~ ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 ) )
= $true )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 )
= $true )
| ( ( aElement0 @ SV9 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( aElement0 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(170,plain,
! [SV15: $i] :
( ( ( sdtmndtplgtdt0 @ SV15 @ xR @ xz )
= $false )
| ( ( aElement0 @ SV15 )
= $false )
| ( ( aReductOfIn0 @ SV15 @ xx @ xR )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(171,plain,
! [SV5: $i,SV10: $i,SV7: $i,SV9: $i] :
( ( ( sdtmndtplgtdt0 @ SV9 @ SV7 @ SV10 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV9 )
= $false )
| ( ( sdtmndtplgtdt0 @ SV5 @ SV7 @ SV10 )
= $true )
| ( ( aElement0 @ SV9 )
= $false )
| ( ( aElement0 @ SV5 )
= $false )
| ( ( aRewritingSystem0 @ SV7 )
= $false )
| ( ( aElement0 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(172,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[40,171,170,166,165,155,154,153,152,141,140,136,135,130,128,122,111,105,92,89,87,80,50,49,42]) ).
thf(173,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 19:52:21 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 7
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 0
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.38 (rf:0,axioms:7,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.21/0.46
% 0.21/0.46 ********************************
% 0.21/0.46 * All subproblems solved! *
% 0.21/0.46 ********************************
% 0.21/0.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:172,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.48
% 0.21/0.48 %**** Beginning of derivation protocol ****
% 0.21/0.48 % SZS output start CNFRefutation
% See solution above
% 0.21/0.48
% 0.21/0.48 %**** End of derivation protocol ****
% 0.21/0.48 %**** no. of clauses in derivation: 173 ****
% 0.21/0.48 %**** clause counter: 172 ****
% 0.21/0.48
% 0.21/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:172,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------