TSTP Solution File: KRS103+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS103+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 10:38:18 EDT 2024
% Result : Unsatisfiable 45.10s 7.44s
% Output : Refutation 45.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 53
% Syntax : Number of formulae : 366 ( 12 unt; 20 typ; 0 def)
% Number of atoms : 1319 ( 103 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 2355 ( 390 ~; 694 |; 27 &;1198 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 3 con; 0-2 aty)
% Number of variables : 174 ( 0 ^ 165 !; 9 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
thf(cTest_type,type,
cTest: $i > $o ).
thf(cplus1_type,type,
cplus1: $i > $o ).
thf(cplus9_type,type,
cplus9: $i > $o ).
thf(cminus6_type,type,
cminus6: $i > $o ).
thf(cminus3_type,type,
cminus3: $i > $o ).
thf(cminus5_type,type,
cminus5: $i > $o ).
thf(cminus8_type,type,
cminus8: $i > $o ).
thf(cplus7_type,type,
cplus7: $i > $o ).
thf(cplus8_type,type,
cplus8: $i > $o ).
thf(cminus4_type,type,
cminus4: $i > $o ).
thf(cplus6_type,type,
cplus6: $i > $o ).
thf(cplus3_type,type,
cplus3: $i > $o ).
thf(cminus7_type,type,
cminus7: $i > $o ).
thf(cplus5_type,type,
cplus5: $i > $o ).
thf(cminus9_type,type,
cminus9: $i > $o ).
thf(cplus4_type,type,
cplus4: $i > $o ).
thf(cminus1_type,type,
cminus1: $i > $o ).
thf(cplus2_type,type,
cplus2: $i > $o ).
thf(cminus2_type,type,
cminus2: $i > $o ).
thf(i2003_11_14_17_20_46476_type,type,
i2003_11_14_17_20_46476: $i ).
thf(48,axiom,
cTest @ i2003_11_14_17_20_46476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(158,plain,
cTest @ i2003_11_14_17_20_46476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(23,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus6 @ A )
| ( cminus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(108,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus6 @ A )
| ( cminus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(109,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus2 @ A )
| ( cplus6 @ A )
| ( cminus7 @ A ) ),
inference(cnf,[status(esa)],[108]) ).
thf(1342,plain,
! [A: $i] :
( ( cminus2 @ A )
| ( cplus6 @ A )
| ( cminus7 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,109]) ).
thf(1343,plain,
( ( cminus2 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1342:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(55,axiom,
! [A: $i] :
~ ( ( cminus2 @ A )
& ( cplus2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
thf(177,plain,
! [A: $i] :
~ ( ( cminus2 @ A )
& ( cplus2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(178,plain,
~ ? [A: $i] :
( ( cminus2 @ A )
& ( cplus2 @ A ) ),
inference(miniscope,[status(thm)],[177]) ).
thf(179,plain,
! [A: $i] :
( ~ ( cminus2 @ A )
| ~ ( cplus2 @ A ) ),
inference(cnf,[status(esa)],[178]) ).
thf(1344,plain,
! [A: $i] :
( ( cplus6 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ A )
| ( ( cminus2 @ i2003_11_14_17_20_46476 )
!= ( cminus2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1343,179]) ).
thf(1345,plain,
( ( cplus6 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1344:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(37,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cplus4 @ A )
| ( cplus2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(136,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cplus4 @ A )
| ( cplus2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(137,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus1 @ A )
| ( cplus4 @ A )
| ( cplus2 @ A ) ),
inference(cnf,[status(esa)],[136]) ).
thf(2777,plain,
! [A: $i] :
( ( cminus1 @ A )
| ( cplus4 @ A )
| ( cplus2 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,137]) ).
thf(2778,plain,
( ( cminus1 @ i2003_11_14_17_20_46476 )
| ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2777:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(44,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
thf(150,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(151,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus9 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ),
inference(cnf,[status(esa)],[150]) ).
thf(3611,plain,
! [A: $i] :
( ( cminus9 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,151]) ).
thf(3612,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cplus1 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[3611:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(35,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus9 @ A )
| ( cplus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(132,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus9 @ A )
| ( cplus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(133,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus4 @ A )
| ( cplus9 @ A )
| ( cplus7 @ A ) ),
inference(cnf,[status(esa)],[132]) ).
thf(2510,plain,
! [A: $i] :
( ( cminus4 @ A )
| ( cplus9 @ A )
| ( cplus7 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,133]) ).
thf(2511,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2510:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(26,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(114,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(115,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus9 @ A ) ),
inference(cnf,[status(esa)],[114]) ).
thf(1494,plain,
! [A: $i] :
( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus9 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,115]) ).
thf(1495,plain,
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1494:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(51,axiom,
! [A: $i] :
~ ( ( cplus4 @ A )
& ( cminus4 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(165,plain,
! [A: $i] :
~ ( ( cplus4 @ A )
& ( cminus4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(166,plain,
~ ? [A: $i] :
( ( cplus4 @ A )
& ( cminus4 @ A ) ),
inference(miniscope,[status(thm)],[165]) ).
thf(167,plain,
! [A: $i] :
( ~ ( cplus4 @ A )
| ~ ( cminus4 @ A ) ),
inference(cnf,[status(esa)],[166]) ).
thf(1511,plain,
! [A: $i] :
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ A )
| ( ( cplus4 @ i2003_11_14_17_20_46476 )
!= ( cplus4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1495,167]) ).
thf(1512,plain,
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1511:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(16,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus5 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(94,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus5 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(95,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ( cplus5 @ A )
| ( cminus8 @ A ) ),
inference(cnf,[status(esa)],[94]) ).
thf(818,plain,
! [A: $i] :
( ( cminus3 @ A )
| ( cplus5 @ A )
| ( cminus8 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,95]) ).
thf(819,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus5 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[818:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(9,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus7 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(80,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus7 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(81,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus7 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A ) ),
inference(cnf,[status(esa)],[80]) ).
thf(378,plain,
! [A: $i] :
( ( cminus7 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,81]) ).
thf(379,plain,
( ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[378:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(5,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(72,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(73,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A ) ),
inference(cnf,[status(esa)],[72]) ).
thf(206,plain,
! [A: $i] :
( ( cminus3 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,73]) ).
thf(207,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[206:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(4,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cminus5 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(70,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cminus5 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(71,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ( cminus5 @ A )
| ( cminus8 @ A ) ),
inference(cnf,[status(esa)],[70]) ).
thf(198,plain,
! [A: $i] :
( ( cminus3 @ A )
| ( cminus5 @ A )
| ( cminus8 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,71]) ).
thf(199,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[198:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(49,axiom,
! [A: $i] :
~ ( ( cminus8 @ A )
& ( cplus8 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(159,plain,
! [A: $i] :
~ ( ( cminus8 @ A )
& ( cplus8 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(160,plain,
~ ? [A: $i] :
( ( cminus8 @ A )
& ( cplus8 @ A ) ),
inference(miniscope,[status(thm)],[159]) ).
thf(161,plain,
! [A: $i] :
( ~ ( cminus8 @ A )
| ~ ( cplus8 @ A ) ),
inference(cnf,[status(esa)],[160]) ).
thf(200,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ A )
| ( ( cminus8 @ i2003_11_14_17_20_46476 )
!= ( cminus8 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[199,161]) ).
thf(201,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[200:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(209,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ( ( cplus8 @ i2003_11_14_17_20_46476 )
!= ( cplus8 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[207,201]) ).
thf(210,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[209:[]]) ).
thf(52,axiom,
! [A: $i] :
~ ( ( cminus7 @ A )
& ( cplus7 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(168,plain,
! [A: $i] :
~ ( ( cminus7 @ A )
& ( cplus7 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(169,plain,
~ ? [A: $i] :
( ( cminus7 @ A )
& ( cplus7 @ A ) ),
inference(miniscope,[status(thm)],[168]) ).
thf(170,plain,
! [A: $i] :
( ~ ( cminus7 @ A )
| ~ ( cplus7 @ A ) ),
inference(cnf,[status(esa)],[169]) ).
thf(231,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ A )
| ( ( cplus7 @ i2003_11_14_17_20_46476 )
!= ( cplus7 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[210,170]) ).
thf(232,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[231:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(391,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[379,232]) ).
thf(392,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[391:[]]) ).
thf(54,axiom,
! [A: $i] :
~ ( ( cplus5 @ A )
& ( cminus5 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(174,plain,
! [A: $i] :
~ ( ( cplus5 @ A )
& ( cminus5 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(175,plain,
~ ? [A: $i] :
( ( cplus5 @ A )
& ( cminus5 @ A ) ),
inference(miniscope,[status(thm)],[174]) ).
thf(176,plain,
! [A: $i] :
( ~ ( cplus5 @ A )
| ~ ( cminus5 @ A ) ),
inference(cnf,[status(esa)],[175]) ).
thf(424,plain,
! [A: $i] :
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus5 @ A )
| ( ( cminus5 @ i2003_11_14_17_20_46476 )
!= ( cminus5 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[392,176]) ).
thf(425,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus5 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[424:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(821,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus5 @ i2003_11_14_17_20_46476 )
!= ( cplus5 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[819,425]) ).
thf(822,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[821:[]]) ).
thf(211,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ A )
| ( ( cplus8 @ i2003_11_14_17_20_46476 )
!= ( cplus8 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[207,161]) ).
thf(212,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[211:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(233,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ A )
| ( ( cplus7 @ i2003_11_14_17_20_46476 )
!= ( cplus7 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[212,170]) ).
thf(234,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[233:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(385,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ i2003_11_14_17_20_46476 )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[379,234]) ).
thf(386,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[385:[]]) ).
thf(891,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cminus8 @ i2003_11_14_17_20_46476 )
!= ( cminus8 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[822,386]) ).
thf(892,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[891:[]]) ).
thf(53,axiom,
! [A: $i] :
~ ( ( cplus3 @ A )
& ( cminus3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(171,plain,
! [A: $i] :
~ ( ( cplus3 @ A )
& ( cminus3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(172,plain,
~ ? [A: $i] :
( ( cplus3 @ A )
& ( cminus3 @ A ) ),
inference(miniscope,[status(thm)],[171]) ).
thf(173,plain,
! [A: $i] :
( ~ ( cplus3 @ A )
| ~ ( cminus3 @ A ) ),
inference(cnf,[status(esa)],[172]) ).
thf(916,plain,
! [A: $i] :
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus3 @ A )
| ( ( cminus3 @ i2003_11_14_17_20_46476 )
!= ( cminus3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[892,173]) ).
thf(917,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[916:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1531,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus3 @ i2003_11_14_17_20_46476 )
!= ( cplus3 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1512,917]) ).
thf(1532,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1531:[]]) ).
thf(3211,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[2511,1532]) ).
thf(3212,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[3211:[]]) ).
thf(387,plain,
! [A: $i] :
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ A )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[379,170]) ).
thf(388,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[387:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(4087,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus7 @ i2003_11_14_17_20_46476 )
!= ( cplus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[3212,388]) ).
thf(4088,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[4087:[]]) ).
thf(27,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cminus5 @ A )
| ( cminus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(116,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cminus5 @ A )
| ( cminus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(117,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cplus2 @ A )
| ( cminus5 @ A )
| ( cminus7 @ A ) ),
inference(cnf,[status(esa)],[116]) ).
thf(1592,plain,
! [A: $i] :
( ( cplus2 @ A )
| ( cminus5 @ A )
| ( cminus7 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,117]) ).
thf(1593,plain,
( ( cplus2 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1592:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1598,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus2 @ i2003_11_14_17_20_46476 )
!= ( cplus2 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1593,1345]) ).
thf(1599,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1598:[]]) ).
thf(1638,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1599,232]) ).
thf(1639,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1638:[]]) ).
thf(57,axiom,
! [A: $i] :
~ ( ( cplus6 @ A )
& ( cminus6 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(183,plain,
! [A: $i] :
~ ( ( cplus6 @ A )
& ( cminus6 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(184,plain,
~ ? [A: $i] :
( ( cplus6 @ A )
& ( cminus6 @ A ) ),
inference(miniscope,[status(thm)],[183]) ).
thf(185,plain,
! [A: $i] :
( ~ ( cplus6 @ A )
| ~ ( cminus6 @ A ) ),
inference(cnf,[status(esa)],[184]) ).
thf(1680,plain,
! [A: $i] :
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ A )
| ( ( cplus6 @ i2003_11_14_17_20_46476 )
!= ( cplus6 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1639,185]) ).
thf(1681,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1680:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(24,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus5 @ A )
| ( cminus7 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
thf(110,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus5 @ A )
| ( cminus7 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(111,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cplus5 @ A )
| ( cminus7 @ A )
| ( cplus9 @ A ) ),
inference(cnf,[status(esa)],[110]) ).
thf(1402,plain,
! [A: $i] :
( ( cplus5 @ A )
| ( cminus7 @ A )
| ( cplus9 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,111]) ).
thf(1403,plain,
( ( cplus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1402:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1404,plain,
! [A: $i] :
( ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ A )
| ( ( cplus5 @ i2003_11_14_17_20_46476 )
!= ( cplus5 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1403,176]) ).
thf(1405,plain,
( ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1404:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(823,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ A )
| ( ( cplus5 @ i2003_11_14_17_20_46476 )
!= ( cplus5 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[819,176]) ).
thf(824,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[823:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(825,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 )
| ( ( cminus8 @ i2003_11_14_17_20_46476 )
!= ( cminus8 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[824,234]) ).
thf(826,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[825:[]]) ).
thf(1410,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1405,826]) ).
thf(1411,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1410:[]]) ).
thf(1749,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( ( cminus5 @ i2003_11_14_17_20_46476 )
!= ( cminus5 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1681,1411]) ).
thf(1750,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1749:[]]) ).
thf(11,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(84,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(85,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cplus3 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ),
inference(cnf,[status(esa)],[84]) ).
thf(476,plain,
! [A: $i] :
( ( cplus3 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,85]) ).
thf(477,plain,
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[476:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(478,plain,
! [A: $i] :
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ A )
| ( ( cplus3 @ i2003_11_14_17_20_46476 )
!= ( cplus3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[477,173]) ).
thf(479,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[478:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(480,plain,
! [A: $i] :
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ A )
| ( ( cplus6 @ i2003_11_14_17_20_46476 )
!= ( cplus6 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[479,185]) ).
thf(481,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[480:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1533,plain,
! [A: $i] :
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ A )
| ( ( cplus3 @ i2003_11_14_17_20_46476 )
!= ( cplus3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1512,173]) ).
thf(1534,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1533:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1545,plain,
( ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[481,1534]) ).
thf(1546,plain,
( ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1545:[]]) ).
thf(1886,plain,
( ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 )
| ( ( cminus3 @ i2003_11_14_17_20_46476 )
!= ( cminus3 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1750,1546]) ).
thf(1887,plain,
( ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1886:[]]) ).
thf(4127,plain,
( ( cplus9 @ i2003_11_14_17_20_46476 )
| ( ( cminus6 @ i2003_11_14_17_20_46476 )
!= ( cminus6 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[4088,1887]) ).
thf(4128,plain,
cplus9 @ i2003_11_14_17_20_46476,
inference(pattern_uni,[status(thm)],[4127:[]]) ).
thf(50,axiom,
! [A: $i] :
~ ( ( cminus9 @ A )
& ( cplus9 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(162,plain,
! [A: $i] :
~ ( ( cminus9 @ A )
& ( cplus9 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(163,plain,
~ ? [A: $i] :
( ( cminus9 @ A )
& ( cplus9 @ A ) ),
inference(miniscope,[status(thm)],[162]) ).
thf(164,plain,
! [A: $i] :
( ~ ( cminus9 @ A )
| ~ ( cplus9 @ A ) ),
inference(cnf,[status(esa)],[163]) ).
thf(4255,plain,
! [A: $i] :
( ~ ( cminus9 @ A )
| ( ( cplus9 @ i2003_11_14_17_20_46476 )
!= ( cplus9 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[4128,164]) ).
thf(4256,plain,
~ ( cminus9 @ i2003_11_14_17_20_46476 ),
inference(pattern_uni,[status(thm)],[4255:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(5040,plain,
( $false
| ( cplus1 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[3612,4256]) ).
thf(5041,plain,
( ( cplus1 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[5040]) ).
thf(38,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cminus3 @ A )
| ( cplus1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(138,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cminus3 @ A )
| ( cplus1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(139,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus2 @ A )
| ( cminus3 @ A )
| ( cplus1 @ A ) ),
inference(cnf,[status(esa)],[138]) ).
thf(2810,plain,
! [A: $i] :
( ( cminus2 @ A )
| ( cminus3 @ A )
| ( cplus1 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,139]) ).
thf(2811,plain,
( ( cminus2 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus1 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2810:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(21,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(104,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(105,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ),
inference(cnf,[status(esa)],[104]) ).
thf(1216,plain,
! [A: $i] :
( ( cminus3 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,105]) ).
thf(1217,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus2 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1216:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1218,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 )
| ~ ( cminus2 @ A )
| ( ( cplus2 @ i2003_11_14_17_20_46476 )
!= ( cplus2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1217,179]) ).
thf(1219,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 )
| ~ ( cminus2 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1218:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(3486,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus1 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 )
| ( ( cminus2 @ i2003_11_14_17_20_46476 )
!= ( cminus2 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[2811,1219]) ).
thf(3487,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus1 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[3486:[]]) ).
thf(25,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cminus5 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(112,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cminus5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(113,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus9 @ A )
| ( cminus2 @ A )
| ( cminus5 @ A ) ),
inference(cnf,[status(esa)],[112]) ).
thf(1448,plain,
! [A: $i] :
( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cminus5 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,113]) ).
thf(1449,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cminus2 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1448:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1450,plain,
! [A: $i] :
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ A )
| ( ( cminus2 @ i2003_11_14_17_20_46476 )
!= ( cminus2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1449,179]) ).
thf(1451,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1450:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1602,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cminus9 @ i2003_11_14_17_20_46476 )
| ( ( cplus2 @ i2003_11_14_17_20_46476 )
!= ( cplus2 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1593,1451]) ).
thf(1603,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cminus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1602:[]]) ).
thf(1641,plain,
! [A: $i] :
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ A )
| ( ( cminus9 @ i2003_11_14_17_20_46476 )
!= ( cminus9 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1603,164]) ).
thf(1642,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1641:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1700,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1642,232]) ).
thf(1701,plain,
( ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1700:[]]) ).
thf(835,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ A )
| ( ( cminus8 @ i2003_11_14_17_20_46476 )
!= ( cminus8 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[824,161]) ).
thf(836,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus5 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[835:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1809,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ i2003_11_14_17_20_46476 )
| ( ( cminus5 @ i2003_11_14_17_20_46476 )
!= ( cminus5 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1701,836]) ).
thf(1810,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1809:[]]) ).
thf(4219,plain,
( ~ $true
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[1810,4128]) ).
thf(4220,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[4219]) ).
thf(4896,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus1 @ i2003_11_14_17_20_46476 )
| ( ( cplus8 @ i2003_11_14_17_20_46476 )
!= ( cplus8 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[3487,4220]) ).
thf(4897,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cplus1 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[4896:[]]) ).
thf(29,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus3 @ A )
| ( cplus4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(120,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus3 @ A )
| ( cplus4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(121,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus9 @ A )
| ( cplus3 @ A )
| ( cplus4 @ A ) ),
inference(cnf,[status(esa)],[120]) ).
thf(1825,plain,
! [A: $i] :
( ( cminus9 @ A )
| ( cplus3 @ A )
| ( cplus4 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,121]) ).
thf(1826,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1825:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1931,plain,
! [A: $i] :
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cplus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ A )
| ( ( cplus4 @ i2003_11_14_17_20_46476 )
!= ( cplus4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1826,167]) ).
thf(1932,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cplus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1931:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(2333,plain,
! [A: $i] :
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ A )
| ( ( cminus9 @ i2003_11_14_17_20_46476 )
!= ( cminus9 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1932,164]) ).
thf(2334,plain,
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2333:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(2829,plain,
! [A: $i] :
( ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ A )
| ( ( cplus3 @ i2003_11_14_17_20_46476 )
!= ( cplus3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[2334,173]) ).
thf(2830,plain,
( ~ ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2829:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(2849,plain,
( ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[481,2830]) ).
thf(2850,plain,
( ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2849:[]]) ).
thf(4231,plain,
( ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ $true ),
inference(rewrite,[status(thm)],[2850,4128]) ).
thf(4232,plain,
( ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[4231]) ).
thf(4923,plain,
( ( cplus1 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cminus3 @ i2003_11_14_17_20_46476 )
!= ( cminus3 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[4897,4232]) ).
thf(4924,plain,
( ( cplus1 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[4923:[]]) ).
thf(5048,plain,
( ( cplus1 @ i2003_11_14_17_20_46476 )
| ( ( cminus6 @ i2003_11_14_17_20_46476 )
!= ( cminus6 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5041,4924]) ).
thf(5049,plain,
cplus1 @ i2003_11_14_17_20_46476,
inference(pattern_uni,[status(thm)],[5048:[]]) ).
thf(56,axiom,
! [A: $i] :
~ ( ( cminus1 @ A )
& ( cplus1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
thf(180,plain,
! [A: $i] :
~ ( ( cminus1 @ A )
& ( cplus1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(181,plain,
~ ? [A: $i] :
( ( cminus1 @ A )
& ( cplus1 @ A ) ),
inference(miniscope,[status(thm)],[180]) ).
thf(182,plain,
! [A: $i] :
( ~ ( cminus1 @ A )
| ~ ( cplus1 @ A ) ),
inference(cnf,[status(esa)],[181]) ).
thf(5074,plain,
! [A: $i] :
( ~ ( cminus1 @ A )
| ( ( cplus1 @ i2003_11_14_17_20_46476 )
!= ( cplus1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5049,182]) ).
thf(5075,plain,
~ ( cminus1 @ i2003_11_14_17_20_46476 ),
inference(pattern_uni,[status(thm)],[5074:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(5076,plain,
( $false
| ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[2778,5075]) ).
thf(5077,plain,
( ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[5076]) ).
thf(34,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(130,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(131,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus7 @ A ) ),
inference(cnf,[status(esa)],[130]) ).
thf(2434,plain,
! [A: $i] :
( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus7 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,131]) ).
thf(2435,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cminus2 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2434:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(2935,plain,
! [A: $i] :
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ A )
| ( ( cminus2 @ i2003_11_14_17_20_46476 )
!= ( cminus2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[2435,179]) ).
thf(2936,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2935:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(4265,plain,
( $false
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[2936,4256]) ).
thf(4266,plain,
( ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[4265]) ).
thf(5124,plain,
( ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( ( cplus2 @ i2003_11_14_17_20_46476 )
!= ( cplus2 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5077,4266]) ).
thf(5125,plain,
( ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5124:[]]) ).
thf(13,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(88,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(89,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus1 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ),
inference(cnf,[status(esa)],[88]) ).
thf(667,plain,
! [A: $i] :
( ( cminus1 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,89]) ).
thf(668,plain,
( ( cminus1 @ i2003_11_14_17_20_46476 )
| ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[667:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(706,plain,
! [A: $i] :
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus1 @ A )
| ( ( cminus1 @ i2003_11_14_17_20_46476 )
!= ( cminus1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[668,182]) ).
thf(707,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus1 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[706:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(718,plain,
! [A: $i] :
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cplus1 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ A )
| ( ( cplus6 @ i2003_11_14_17_20_46476 )
!= ( cplus6 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[707,185]) ).
thf(719,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ~ ( cplus1 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[718:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(730,plain,
! [A: $i] :
( ~ ( cplus1 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ A )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[719,167]) ).
thf(731,plain,
( ~ ( cplus1 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[730:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(5072,plain,
( ~ $true
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[731,5049]) ).
thf(5073,plain,
( ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[5072]) ).
thf(5195,plain,
( ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus4 @ i2003_11_14_17_20_46476 )
!= ( cplus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5125,5073]) ).
thf(5196,plain,
( ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5195:[]]) ).
thf(5348,plain,
! [A: $i] :
( ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ A )
| ( ( cplus7 @ i2003_11_14_17_20_46476 )
!= ( cplus7 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5196,170]) ).
thf(5349,plain,
( ~ ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5348:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(46,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(154,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(155,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ),
inference(cnf,[status(esa)],[154]) ).
thf(3835,plain,
! [A: $i] :
( ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,155]) ).
thf(3836,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus2 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[3835:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(5474,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( ( cplus2 @ i2003_11_14_17_20_46476 )
!= ( cplus2 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[3836,4266]) ).
thf(5475,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5474:[]]) ).
thf(5191,plain,
! [A: $i] :
( ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ A )
| ( ( cplus4 @ i2003_11_14_17_20_46476 )
!= ( cplus4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5125,167]) ).
thf(5192,plain,
( ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus4 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5191:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(5982,plain,
( ( cplus8 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5475,5192]) ).
thf(5983,plain,
( ( cplus8 @ i2003_11_14_17_20_46476 )
| ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5982:[]]) ).
thf(22,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus4 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(106,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus4 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(107,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus2 @ A )
| ( cplus4 @ A )
| ( cminus6 @ A ) ),
inference(cnf,[status(esa)],[106]) ).
thf(1266,plain,
! [A: $i] :
( ( cminus2 @ A )
| ( cplus4 @ A )
| ( cminus6 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,107]) ).
thf(1267,plain,
( ( cminus2 @ i2003_11_14_17_20_46476 )
| ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1266:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1269,plain,
! [A: $i] :
( ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ A )
| ( ( cminus2 @ i2003_11_14_17_20_46476 )
!= ( cminus2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1267,179]) ).
thf(1270,plain,
( ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1269:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(3471,plain,
( ( cminus1 @ i2003_11_14_17_20_46476 )
| ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus2 @ i2003_11_14_17_20_46476 )
!= ( cplus2 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[2778,1270]) ).
thf(3472,plain,
( ( cminus1 @ i2003_11_14_17_20_46476 )
| ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[3471:[]]) ).
thf(5078,plain,
( $false
| ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[3472,5075]) ).
thf(5079,plain,
( ( cplus4 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[5078]) ).
thf(10,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus4 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(82,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus4 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(83,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus9 @ A )
| ( cminus4 @ A )
| ( cminus8 @ A ) ),
inference(cnf,[status(esa)],[82]) ).
thf(435,plain,
! [A: $i] :
( ( cminus9 @ A )
| ( cminus4 @ A )
| ( cminus8 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,83]) ).
thf(436,plain,
( ( cminus9 @ i2003_11_14_17_20_46476 )
| ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[435:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(437,plain,
! [A: $i] :
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ A )
| ( ( cminus9 @ i2003_11_14_17_20_46476 )
!= ( cminus9 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[436,164]) ).
thf(438,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[437:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(439,plain,
! [A: $i] :
( ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ A )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[438,167]) ).
thf(440,plain,
( ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[439:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(4203,plain,
( ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ $true
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[440,4128]) ).
thf(4204,plain,
( ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[4203]) ).
thf(5134,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ( ( cplus4 @ i2003_11_14_17_20_46476 )
!= ( cplus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5079,4204]) ).
thf(5135,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5134:[]]) ).
thf(5232,plain,
! [A: $i] :
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ A )
| ( ( cminus8 @ i2003_11_14_17_20_46476 )
!= ( cminus8 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5135,161]) ).
thf(5233,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5232:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(6038,plain,
( ( cplus7 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus8 @ i2003_11_14_17_20_46476 )
!= ( cplus8 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5983,5233]) ).
thf(6039,plain,
( ( cplus7 @ i2003_11_14_17_20_46476 )
| ( cminus6 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[6038:[]]) ).
thf(30,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus3 @ A )
| ( cminus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(122,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus3 @ A )
| ( cminus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(123,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus4 @ A )
| ( cminus3 @ A )
| ( cminus7 @ A ) ),
inference(cnf,[status(esa)],[122]) ).
thf(1976,plain,
! [A: $i] :
( ( cminus4 @ A )
| ( cminus3 @ A )
| ( cminus7 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,123]) ).
thf(1977,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1976:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(1799,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 )
| ( ( cminus5 @ i2003_11_14_17_20_46476 )
!= ( cminus5 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1701,824]) ).
thf(1800,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[1799:[]]) ).
thf(204,plain,
! [B: $i,A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ( cplus7 @ A )
| ~ ( cminus8 @ B )
| ( ( cplus8 @ A )
!= ( cplus8 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[73,161]) ).
thf(205,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ( cplus7 @ A )
| ~ ( cminus8 @ A ) ),
inference(pattern_uni,[status(thm)],[204:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(221,plain,
! [B: $i,A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ~ ( cminus8 @ A )
| ~ ( cminus7 @ B )
| ( ( cplus7 @ A )
!= ( cplus7 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[205,170]) ).
thf(222,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cminus3 @ A )
| ~ ( cminus8 @ A )
| ~ ( cminus7 @ A ) ),
inference(pattern_uni,[status(thm)],[221:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(2180,plain,
! [A: $i] :
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cTest @ A )
| ( cminus3 @ A )
| ~ ( cminus7 @ A )
| ( ( cminus8 @ i2003_11_14_17_20_46476 )
!= ( cminus8 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1800,222]) ).
thf(2181,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cTest @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2180:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(2182,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cTest @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[2181]) ).
thf(2203,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ $true
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[2182,158]) ).
thf(2204,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[2203]) ).
thf(2478,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[1977,2204]) ).
thf(2479,plain,
( ( cminus4 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2478:[]]) ).
thf(3085,plain,
! [A: $i] :
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ A )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[2479,167]) ).
thf(3086,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[3085:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(4221,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ $true
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[3086,4128]) ).
thf(4222,plain,
( ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[4221]) ).
thf(5138,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 )
| ( ( cplus4 @ i2003_11_14_17_20_46476 )
!= ( cplus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5079,4222]) ).
thf(5139,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5138:[]]) ).
thf(2863,plain,
( ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ( ( cminus4 @ i2003_11_14_17_20_46476 )
!= ( cminus4 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[438,2830]) ).
thf(2864,plain,
( ( cminus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[2863:[]]) ).
thf(7,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus7 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(76,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus7 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(77,plain,
! [A: $i] :
( ~ ( cTest @ A )
| ( cplus3 @ A )
| ( cminus7 @ A )
| ( cplus8 @ A ) ),
inference(cnf,[status(esa)],[76]) ).
thf(286,plain,
! [A: $i] :
( ( cplus3 @ A )
| ( cminus7 @ A )
| ( cplus8 @ A )
| ( ( cTest @ i2003_11_14_17_20_46476 )
!= ( cTest @ A ) ) ),
inference(paramod_ordered,[status(thm)],[158,77]) ).
thf(287,plain,
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cminus7 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[286:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(295,plain,
! [A: $i] :
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ A )
| ( ( cminus7 @ i2003_11_14_17_20_46476 )
!= ( cminus7 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[287,170]) ).
thf(296,plain,
( ( cplus3 @ i2003_11_14_17_20_46476 )
| ( cplus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[295:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(303,plain,
! [A: $i] :
( ( cplus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ A )
| ( ( cplus3 @ i2003_11_14_17_20_46476 )
!= ( cplus3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[296,173]) ).
thf(304,plain,
( ( cplus8 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[303:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(321,plain,
! [A: $i] :
( ~ ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ A )
| ( ( cplus8 @ i2003_11_14_17_20_46476 )
!= ( cplus8 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[304,161]) ).
thf(322,plain,
( ~ ( cplus7 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cminus8 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[321:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(3520,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 )
| ( ( cminus8 @ i2003_11_14_17_20_46476 )
!= ( cminus8 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[2864,322]) ).
thf(3521,plain,
( ~ ( cplus9 @ i2003_11_14_17_20_46476 )
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[3520:[]]) ).
thf(4243,plain,
( ~ $true
| ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[3521,4128]) ).
thf(4244,plain,
( ~ ( cminus3 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[4243]) ).
thf(5263,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 )
| ( ( cminus3 @ i2003_11_14_17_20_46476 )
!= ( cminus3 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[5139,4244]) ).
thf(5264,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus7 @ i2003_11_14_17_20_46476 ) ),
inference(pattern_uni,[status(thm)],[5263:[]]) ).
thf(6046,plain,
( ( cminus6 @ i2003_11_14_17_20_46476 )
| ( ( cplus7 @ i2003_11_14_17_20_46476 )
!= ( cplus7 @ i2003_11_14_17_20_46476 ) ) ),
inference(paramod_ordered,[status(thm)],[6039,5264]) ).
thf(6047,plain,
cminus6 @ i2003_11_14_17_20_46476,
inference(pattern_uni,[status(thm)],[6046:[]]) ).
thf(6065,plain,
( ~ $true
| ~ ( cminus7 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[5349,6047]) ).
thf(6066,plain,
~ ( cminus7 @ i2003_11_14_17_20_46476 ),
inference(simp,[status(thm)],[6065]) ).
thf(6113,plain,
( ( cplus6 @ i2003_11_14_17_20_46476 )
| $false
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[1345,6066]) ).
thf(6114,plain,
( ( cplus6 @ i2003_11_14_17_20_46476 )
| ~ ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(simp,[status(thm)],[6113]) ).
thf(6079,plain,
! [A: $i] :
( ~ ( cplus6 @ A )
| ( ( cminus6 @ i2003_11_14_17_20_46476 )
!= ( cminus6 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6047,185]) ).
thf(6080,plain,
~ ( cplus6 @ i2003_11_14_17_20_46476 ),
inference(pattern_uni,[status(thm)],[6079:[bind(A,$thf( i2003_11_14_17_20_46476 ))]]) ).
thf(6075,plain,
( ~ $true
| ~ ( cplus4 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[5073,6047]) ).
thf(6076,plain,
~ ( cplus4 @ i2003_11_14_17_20_46476 ),
inference(simp,[status(thm)],[6075]) ).
thf(6157,plain,
( $false
| ( cplus2 @ i2003_11_14_17_20_46476 ) ),
inference(rewrite,[status(thm)],[5077,6076]) ).
thf(6158,plain,
cplus2 @ i2003_11_14_17_20_46476,
inference(simp,[status(thm)],[6157]) ).
thf(6246,plain,
( $false
| ~ $true ),
inference(rewrite,[status(thm)],[6114,6080,6158]) ).
thf(6247,plain,
$false,
inference(simp,[status(thm)],[6246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS103+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 22:56:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.95/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/0.98 % [INFO] Parsing done (138ms).
% 1.29/0.99 % [INFO] Running in sequential loop mode.
% 1.85/1.19 % [INFO] nitpick registered as external prover.
% 1.85/1.20 % [INFO] Scanning for conjecture ...
% 1.85/1.23 % [INFO] 57 axioms and no conjecture found.
% 1.97/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 2.17/1.31 % [INFO] Type checking passed.
% 2.17/1.31 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 45.10/7.43 % [INFO] Killing All external provers ...
% 45.10/7.43 % Time passed: 6911ms (effective reasoning time: 6439ms)
% 45.10/7.44 % Axioms used in derivation (33): axiom_22, axiom_43, axiom_6, axiom_54, axiom_50, axiom_3, axiom_20, axiom_24, axiom_28, axiom_53, axiom_47, axiom_34, axiom_23, axiom_12, axiom_26, axiom_55, axiom_33, axiom_10, axiom_49, axiom_15, axiom_51, axiom_21, axiom_8, axiom_36, axiom_25, axiom_52, axiom_45, axiom_29, axiom_56, axiom_9, axiom_48, axiom_4, axiom_37
% 45.10/7.44 % No. of inferences in proof: 346
% 45.10/7.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6911 ms resp. 6439 ms w/o parsing
% 45.27/7.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 45.27/7.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------