TSTP Solution File: KRS098+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 10:38:17 EDT 2024
% Result : Unsatisfiable 98.01s 15.12s
% Output : Refutation 98.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 29
% Syntax : Number of formulae : 120 ( 22 unt; 19 typ; 0 def)
% Number of atoms : 365 ( 57 equ; 0 cnn)
% Maximal formula atoms : 44 ( 3 avg)
% Number of connectives : 898 ( 111 ~; 94 |; 95 &; 563 @)
% ( 2 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 3 con; 0-2 aty)
% Number of variables : 189 ( 0 ^ 147 !; 42 ?; 189 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(ca_type,type,
ca: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(cd_type,type,
cd: $i > $o ).
thf(ce_type,type,
ce: $i > $o ).
thf(rr_type,type,
rr: $i > $i > $o ).
thf(rr1_type,type,
rr1: $i > $i > $o ).
thf(rr2_type,type,
rr2: $i > $i > $o ).
thf(rr3_type,type,
rr3: $i > $i > $o ).
thf(rt1_type,type,
rt1: $i > $i > $o ).
thf(rt2_type,type,
rt2: $i > $i > $o ).
thf(rt3_type,type,
rt3: $i > $i > $o ).
thf(rtt_type,type,
rtt: $i > $i > $o ).
thf(i2003_11_14_17_20_25524_type,type,
i2003_11_14_17_20_25524: $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(sk3_type,type,
sk3: $i > $i ).
thf(sk5_type,type,
sk5: $i > $i ).
thf(sk6_type,type,
sk6: $i > $i ).
thf(30,axiom,
cUnsatisfiable @ i2003_11_14_17_20_25524,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(207,plain,
cUnsatisfiable @ i2003_11_14_17_20_25524,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(28,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i,C: $i] :
( ( rr @ A @ B )
& ( rr @ A @ C )
& ( B != C ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(150,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i,C: $i] :
( ( rr @ A @ B )
& ( rr @ A @ C )
& ( B != C ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) ) )
& ( ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i,C: $i] :
( ( rr @ A @ B )
& ( rr @ A @ C )
& ( B != C ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(151,plain,
( ! [A: $i] :
( ( cUnsatisfiable @ A )
=> ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i] :
( ( rr @ A @ B )
& ? [C: $i] :
( ( rr @ A @ C )
& ( B != C ) ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) ) )
& ! [A: $i] :
( ( ? [B: $i] :
( ( rr3 @ A @ B )
& ? [C: $i] :
( ( rt3 @ B @ C )
& ( ce @ C ) )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) ) )
& ? [B: $i] :
( ( rr2 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt2 @ B @ C )
& ( cd @ C ) ) )
& ~ ? [B: $i] :
( ( rr @ A @ B )
& ? [C: $i] :
( ( rr @ A @ C )
& ( B != C ) ) )
& ? [B: $i] :
( ( rr1 @ A @ B )
& ! [C: $i,D: $i] :
( ( ( rtt @ B @ C )
& ( rtt @ B @ D ) )
=> ( C = D ) )
& ? [C: $i] :
( ( rt1 @ B @ C )
& ( cc @ C ) ) ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(miniscope,[status(thm)],[150]) ).
thf(159,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rt3 @ ( sk1 @ A ) @ ( sk2 @ A ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(303,plain,
! [A: $i] :
( ( rt3 @ ( sk1 @ A ) @ ( sk2 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[207,159]) ).
thf(304,plain,
rt3 @ ( sk1 @ i2003_11_14_17_20_25524 ) @ ( sk2 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[303:[bind(A,$thf( i2003_11_14_17_20_25524 ))]]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( rt3 @ A @ B )
=> ( rtt @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(227,plain,
! [A: $i,B: $i] :
( ( rt3 @ A @ B )
=> ( rtt @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(228,plain,
! [B: $i,A: $i] :
( ~ ( rt3 @ A @ B )
| ( rtt @ A @ B ) ),
inference(cnf,[status(esa)],[227]) ).
thf(4624,plain,
! [B: $i,A: $i] :
( ( rtt @ A @ B )
| ( ( rt3 @ ( sk1 @ i2003_11_14_17_20_25524 ) @ ( sk2 @ i2003_11_14_17_20_25524 ) )
!= ( rt3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[304,228]) ).
thf(4625,plain,
rtt @ ( sk1 @ i2003_11_14_17_20_25524 ) @ ( sk2 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[4624:[bind(A,$thf( sk1 @ i2003_11_14_17_20_25524 )),bind(B,$thf( sk2 @ i2003_11_14_17_20_25524 ))]]) ).
thf(165,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rt1 @ ( sk5 @ A ) @ ( sk6 @ A ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( rt1 @ A @ B )
=> ( rtt @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(221,plain,
! [A: $i,B: $i] :
( ( rt1 @ A @ B )
=> ( rtt @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(222,plain,
! [B: $i,A: $i] :
( ~ ( rt1 @ A @ B )
| ( rtt @ A @ B ) ),
inference(cnf,[status(esa)],[221]) ).
thf(1071,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rtt @ B @ C )
| ( ( rt1 @ ( sk5 @ A ) @ ( sk6 @ A ) )
!= ( rt1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[165,222]) ).
thf(1072,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rtt @ ( sk5 @ A ) @ ( sk6 @ A ) ) ),
inference(pattern_uni,[status(thm)],[1071:[bind(A,$thf( E )),bind(B,$thf( sk5 @ E )),bind(C,$thf( sk6 @ E ))]]) ).
thf(1077,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rtt @ ( sk5 @ A ) @ ( sk6 @ A ) ) ),
inference(simp,[status(thm)],[1072]) ).
thf(152,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rtt @ ( sk5 @ A ) @ B )
| ~ ( rtt @ ( sk5 @ A ) @ C )
| ( B = C ) ),
inference(cnf,[status(esa)],[151]) ).
thf(179,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( cUnsatisfiable @ A )
| ~ ( rtt @ ( sk5 @ A ) @ B )
| ~ ( rtt @ ( sk5 @ A ) @ C ) ),
inference(lifteq,[status(thm)],[152]) ).
thf(180,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( cUnsatisfiable @ A )
| ~ ( rtt @ ( sk5 @ A ) @ B )
| ~ ( rtt @ ( sk5 @ A ) @ C ) ),
inference(simp,[status(thm)],[179]) ).
thf(157,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cc @ ( sk6 @ A ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(237,plain,
! [A: $i] :
( ( cc @ ( sk6 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[207,157]) ).
thf(238,plain,
cc @ ( sk6 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[237:[bind(A,$thf( i2003_11_14_17_20_25524 ))]]) ).
thf(29,axiom,
! [A: $i] :
( ( ca @ A )
<=> ( ( cc @ A )
| ( cd @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(200,plain,
! [A: $i] :
( ( ( ca @ A )
=> ( ( cc @ A )
| ( cd @ A ) ) )
& ( ( ( cc @ A )
| ( cd @ A ) )
=> ( ca @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(201,plain,
( ! [A: $i] :
( ( ca @ A )
=> ( ( cc @ A )
| ( cd @ A ) ) )
& ! [A: $i] :
( ( ( cc @ A )
| ( cd @ A ) )
=> ( ca @ A ) ) ),
inference(miniscope,[status(thm)],[200]) ).
thf(202,plain,
! [A: $i] :
( ~ ( cc @ A )
| ( ca @ A ) ),
inference(cnf,[status(esa)],[201]) ).
thf(205,plain,
! [A: $i] :
( ~ ( cc @ A )
| ( ca @ A ) ),
inference(simp,[status(thm)],[202]) ).
thf(244,plain,
! [A: $i] :
( ( ca @ A )
| ( ( cc @ ( sk6 @ i2003_11_14_17_20_25524 ) )
!= ( cc @ A ) ) ),
inference(paramod_ordered,[status(thm)],[238,205]) ).
thf(245,plain,
ca @ ( sk6 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[244:[bind(A,$thf( sk6 @ i2003_11_14_17_20_25524 ))]]) ).
thf(460,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rtt @ ( sk5 @ A ) @ B )
| ~ ( rtt @ ( sk5 @ A ) @ C )
| ( ca @ B )
| ( C
!= ( sk6 @ i2003_11_14_17_20_25524 ) ) ),
inference(paramod_ordered,[status(thm)],[180,245]) ).
thf(461,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rtt @ ( sk5 @ A ) @ B )
| ~ ( rtt @ ( sk5 @ A ) @ ( sk6 @ i2003_11_14_17_20_25524 ) )
| ( ca @ B ) ),
inference(pattern_uni,[status(thm)],[460:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk6 @ i2003_11_14_17_20_25524 ))]]) ).
thf(12014,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( cUnsatisfiable @ B )
| ~ ( rtt @ ( sk5 @ B ) @ C )
| ( ca @ C )
| ( ( rtt @ ( sk5 @ A ) @ ( sk6 @ A ) )
!= ( rtt @ ( sk5 @ B ) @ ( sk6 @ i2003_11_14_17_20_25524 ) ) ) ),
inference(paramod_ordered,[status(thm)],[1077,461]) ).
thf(12015,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
| ~ ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
| ~ ( rtt @ ( sk5 @ i2003_11_14_17_20_25524 ) @ A )
| ( ca @ A ) ),
inference(pattern_uni,[status(thm)],[12014:[bind(A,$thf( i2003_11_14_17_20_25524 )),bind(B,$thf( i2003_11_14_17_20_25524 ))]]) ).
thf(12127,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
| ~ ( rtt @ ( sk5 @ i2003_11_14_17_20_25524 ) @ A )
| ( ca @ A ) ),
inference(simp,[status(thm)],[12015]) ).
thf(153,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rr1 @ A @ ( sk5 @ A ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(231,plain,
! [A: $i] :
( ( rr1 @ A @ ( sk5 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[207,153]) ).
thf(232,plain,
rr1 @ i2003_11_14_17_20_25524 @ ( sk5 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[231:[bind(A,$thf( i2003_11_14_17_20_25524 ))]]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( rr1 @ A @ B )
=> ( rr @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(217,plain,
! [A: $i,B: $i] :
( ( rr1 @ A @ B )
=> ( rr @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(218,plain,
! [B: $i,A: $i] :
( ~ ( rr1 @ A @ B )
| ( rr @ A @ B ) ),
inference(cnf,[status(esa)],[217]) ).
thf(409,plain,
! [B: $i,A: $i] :
( ( rr @ A @ B )
| ( ( rr1 @ i2003_11_14_17_20_25524 @ ( sk5 @ i2003_11_14_17_20_25524 ) )
!= ( rr1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[232,218]) ).
thf(410,plain,
rr @ i2003_11_14_17_20_25524 @ ( sk5 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[409:[bind(A,$thf( i2003_11_14_17_20_25524 )),bind(B,$thf( sk5 @ i2003_11_14_17_20_25524 ))]]) ).
thf(154,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rr2 @ A @ ( sk3 @ A ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(266,plain,
! [A: $i] :
( ( rr2 @ A @ ( sk3 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[207,154]) ).
thf(267,plain,
rr2 @ i2003_11_14_17_20_25524 @ ( sk3 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[266:[bind(A,$thf( i2003_11_14_17_20_25524 ))]]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( rr2 @ A @ B )
=> ( rr @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(219,plain,
! [A: $i,B: $i] :
( ( rr2 @ A @ B )
=> ( rr @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(220,plain,
! [B: $i,A: $i] :
( ~ ( rr2 @ A @ B )
| ( rr @ A @ B ) ),
inference(cnf,[status(esa)],[219]) ).
thf(980,plain,
! [B: $i,A: $i] :
( ( rr @ A @ B )
| ( ( rr2 @ i2003_11_14_17_20_25524 @ ( sk3 @ i2003_11_14_17_20_25524 ) )
!= ( rr2 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[267,220]) ).
thf(981,plain,
rr @ i2003_11_14_17_20_25524 @ ( sk3 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[980:[bind(A,$thf( i2003_11_14_17_20_25524 )),bind(B,$thf( sk3 @ i2003_11_14_17_20_25524 ))]]) ).
thf(173,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rr @ A @ B )
| ~ ( rr @ A @ C )
| ( B = C ) ),
inference(cnf,[status(esa)],[151]) ).
thf(181,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( cUnsatisfiable @ A )
| ~ ( rr @ A @ B )
| ~ ( rr @ A @ C ) ),
inference(lifteq,[status(thm)],[173]) ).
thf(182,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( cUnsatisfiable @ A )
| ~ ( rr @ A @ B )
| ~ ( rr @ A @ C ) ),
inference(simp,[status(thm)],[181]) ).
thf(1252,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( cUnsatisfiable @ A )
| ~ ( rr @ A @ C )
| ( ( rr @ i2003_11_14_17_20_25524 @ ( sk3 @ i2003_11_14_17_20_25524 ) )
!= ( rr @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[981,182]) ).
thf(1253,plain,
! [A: $i] :
( ( ( sk3 @ i2003_11_14_17_20_25524 )
= A )
| ~ ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
| ~ ( rr @ i2003_11_14_17_20_25524 @ A ) ),
inference(pattern_uni,[status(thm)],[1252:[bind(A,$thf( i2003_11_14_17_20_25524 )),bind(B,$thf( sk3 @ i2003_11_14_17_20_25524 )),bind(C,$thf( C ))]]) ).
thf(1596,plain,
! [A: $i] :
( ( ( sk3 @ i2003_11_14_17_20_25524 )
= A )
| ~ ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
| ~ ( rr @ i2003_11_14_17_20_25524 @ A ) ),
inference(simp,[status(thm)],[1253]) ).
thf(4867,plain,
! [A: $i] :
( ( ( sk3 @ i2003_11_14_17_20_25524 )
= A )
| ~ $true
| ~ ( rr @ i2003_11_14_17_20_25524 @ A ) ),
inference(rewrite,[status(thm)],[1596,207]) ).
thf(4868,plain,
! [A: $i] :
( ( ( sk3 @ i2003_11_14_17_20_25524 )
= A )
| ~ ( rr @ i2003_11_14_17_20_25524 @ A ) ),
inference(simp,[status(thm)],[4867]) ).
thf(5238,plain,
! [A: $i] :
( ( ( sk3 @ i2003_11_14_17_20_25524 )
= A )
| ( ( rr @ i2003_11_14_17_20_25524 @ ( sk5 @ i2003_11_14_17_20_25524 ) )
!= ( rr @ i2003_11_14_17_20_25524 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[410,4868]) ).
thf(5239,plain,
( ( sk5 @ i2003_11_14_17_20_25524 )
= ( sk3 @ i2003_11_14_17_20_25524 ) ),
inference(pattern_uni,[status(thm)],[5238:[bind(A,$thf( sk5 @ i2003_11_14_17_20_25524 ))]]) ).
thf(175,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rr3 @ A @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(391,plain,
! [A: $i] :
( ( rr3 @ A @ ( sk1 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[207,175]) ).
thf(392,plain,
rr3 @ i2003_11_14_17_20_25524 @ ( sk1 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[391:[bind(A,$thf( i2003_11_14_17_20_25524 ))]]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( rr3 @ A @ B )
=> ( rr @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(225,plain,
! [A: $i,B: $i] :
( ( rr3 @ A @ B )
=> ( rr @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(226,plain,
! [B: $i,A: $i] :
( ~ ( rr3 @ A @ B )
| ( rr @ A @ B ) ),
inference(cnf,[status(esa)],[225]) ).
thf(3771,plain,
! [B: $i,A: $i] :
( ( rr @ A @ B )
| ( ( rr3 @ i2003_11_14_17_20_25524 @ ( sk1 @ i2003_11_14_17_20_25524 ) )
!= ( rr3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[392,226]) ).
thf(3772,plain,
rr @ i2003_11_14_17_20_25524 @ ( sk1 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[3771:[bind(A,$thf( i2003_11_14_17_20_25524 )),bind(B,$thf( sk1 @ i2003_11_14_17_20_25524 ))]]) ).
thf(5269,plain,
! [A: $i] :
( ( ( sk3 @ i2003_11_14_17_20_25524 )
= A )
| ( ( rr @ i2003_11_14_17_20_25524 @ ( sk1 @ i2003_11_14_17_20_25524 ) )
!= ( rr @ i2003_11_14_17_20_25524 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3772,4868]) ).
thf(5270,plain,
( ( sk3 @ i2003_11_14_17_20_25524 )
= ( sk1 @ i2003_11_14_17_20_25524 ) ),
inference(pattern_uni,[status(thm)],[5269:[bind(A,$thf( sk1 @ i2003_11_14_17_20_25524 ))]]) ).
thf(5480,plain,
( ( sk5 @ i2003_11_14_17_20_25524 )
= ( sk1 @ i2003_11_14_17_20_25524 ) ),
inference(rewrite,[status(thm)],[5239,5270]) ).
thf(21716,plain,
! [A: $i] :
( ~ $true
| ~ ( rtt @ ( sk1 @ i2003_11_14_17_20_25524 ) @ A )
| ( ca @ A ) ),
inference(rewrite,[status(thm)],[12127,5480,207]) ).
thf(21717,plain,
! [A: $i] :
( ~ ( rtt @ ( sk1 @ i2003_11_14_17_20_25524 ) @ A )
| ( ca @ A ) ),
inference(simp,[status(thm)],[21716]) ).
thf(21748,plain,
! [A: $i] :
( ( ca @ A )
| ( ( rtt @ ( sk1 @ i2003_11_14_17_20_25524 ) @ ( sk2 @ i2003_11_14_17_20_25524 ) )
!= ( rtt @ ( sk1 @ i2003_11_14_17_20_25524 ) @ A ) ) ),
inference(paramod_ordered,[status(thm)],[4625,21717]) ).
thf(21749,plain,
ca @ ( sk2 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[21748:[bind(A,$thf( sk2 @ i2003_11_14_17_20_25524 ))]]) ).
thf(204,plain,
! [A: $i] :
( ~ ( ca @ A )
| ( cc @ A )
| ( cd @ A ) ),
inference(cnf,[status(esa)],[201]) ).
thf(168,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( ce @ ( sk2 @ A ) ) ),
inference(cnf,[status(esa)],[151]) ).
thf(253,plain,
! [A: $i] :
( ( ce @ ( sk2 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_20_25524 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[207,168]) ).
thf(254,plain,
ce @ ( sk2 @ i2003_11_14_17_20_25524 ),
inference(pattern_uni,[status(thm)],[253:[bind(A,$thf( i2003_11_14_17_20_25524 ))]]) ).
thf(33,axiom,
! [A: $i] :
~ ( ( ce @ A )
& ( cd @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(214,plain,
! [A: $i] :
~ ( ( ce @ A )
& ( cd @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(215,plain,
~ ? [A: $i] :
( ( ce @ A )
& ( cd @ A ) ),
inference(miniscope,[status(thm)],[214]) ).
thf(216,plain,
! [A: $i] :
( ~ ( ce @ A )
| ~ ( cd @ A ) ),
inference(cnf,[status(esa)],[215]) ).
thf(263,plain,
! [A: $i] :
( ~ ( cd @ A )
| ( ( ce @ ( sk2 @ i2003_11_14_17_20_25524 ) )
!= ( ce @ A ) ) ),
inference(paramod_ordered,[status(thm)],[254,216]) ).
thf(264,plain,
~ ( cd @ ( sk2 @ i2003_11_14_17_20_25524 ) ),
inference(pattern_uni,[status(thm)],[263:[bind(A,$thf( sk2 @ i2003_11_14_17_20_25524 ))]]) ).
thf(371,plain,
! [A: $i] :
( ~ ( ca @ A )
| ( cc @ A )
| ( ( cd @ A )
!= ( cd @ ( sk2 @ i2003_11_14_17_20_25524 ) ) ) ),
inference(paramod_ordered,[status(thm)],[204,264]) ).
thf(372,plain,
( ~ ( ca @ ( sk2 @ i2003_11_14_17_20_25524 ) )
| ( cc @ ( sk2 @ i2003_11_14_17_20_25524 ) ) ),
inference(pattern_uni,[status(thm)],[371:[bind(A,$thf( sk2 @ i2003_11_14_17_20_25524 ))]]) ).
thf(32,axiom,
! [A: $i] :
~ ( ( ce @ A )
& ( cc @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(211,plain,
! [A: $i] :
~ ( ( ce @ A )
& ( cc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(212,plain,
~ ? [A: $i] :
( ( ce @ A )
& ( cc @ A ) ),
inference(miniscope,[status(thm)],[211]) ).
thf(213,plain,
! [A: $i] :
( ~ ( ce @ A )
| ~ ( cc @ A ) ),
inference(cnf,[status(esa)],[212]) ).
thf(261,plain,
! [A: $i] :
( ~ ( cc @ A )
| ( ( ce @ ( sk2 @ i2003_11_14_17_20_25524 ) )
!= ( ce @ A ) ) ),
inference(paramod_ordered,[status(thm)],[254,213]) ).
thf(262,plain,
~ ( cc @ ( sk2 @ i2003_11_14_17_20_25524 ) ),
inference(pattern_uni,[status(thm)],[261:[bind(A,$thf( sk2 @ i2003_11_14_17_20_25524 ))]]) ).
thf(395,plain,
( ~ ( ca @ ( sk2 @ i2003_11_14_17_20_25524 ) )
| $false ),
inference(rewrite,[status(thm)],[372,262]) ).
thf(396,plain,
~ ( ca @ ( sk2 @ i2003_11_14_17_20_25524 ) ),
inference(simp,[status(thm)],[395]) ).
thf(21840,plain,
$false,
inference(rewrite,[status(thm)],[21749,396]) ).
thf(21841,plain,
$false,
inference(simp,[status(thm)],[21840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.14 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n018.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 22:57:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.98/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.42/1.10 % [INFO] Parsing done (179ms).
% 1.42/1.11 % [INFO] Running in sequential loop mode.
% 1.98/1.34 % [INFO] nitpick registered as external prover.
% 1.98/1.34 % [INFO] Scanning for conjecture ...
% 2.09/1.38 % [INFO] 39 axioms and no conjecture found.
% 2.32/1.47 % [INFO] Problem is first-order (TPTP FOF).
% 2.32/1.48 % [INFO] Type checking passed.
% 2.32/1.48 % [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 ...
% 98.01/15.11 % [INFO] Killing All external provers ...
% 98.01/15.11 % Time passed: 14577ms (effective reasoning time: 14001ms)
% 98.01/15.12 % Axioms used in derivation (10): axiom_7, axiom_10, axiom_2, axiom_6, axiom_3, axiom_8, axiom_13, axiom_12, axiom_9, axiom_4
% 98.01/15.12 % No. of inferences in proof: 101
% 98.01/15.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 14577 ms resp. 14001 ms w/o parsing
% 98.07/15.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 98.10/15.23 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------