TSTP Solution File: KRS088+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 10:38:15 EDT 2024
% Result : Unsatisfiable 9.78s 3.27s
% Output : Refutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 135 ( 20 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 366 ( 49 ~; 33 |; 21 &; 246 @)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 0 ^ 61 !; 10 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(cp1_type,type,
cp1: $i > $o ).
thf(rf_type,type,
rf: $i > $i > $o ).
thf(rinvF_type,type,
rinvF: $i > $i > $o ).
thf(i2003_11_14_17_19_49673_type,type,
i2003_11_14_17_19_49673: $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(sk2_type,type,
sk2: $i > $i > $i ).
thf(22,axiom,
cUnsatisfiable @ i2003_11_14_17_19_49673,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(114,plain,
cUnsatisfiable @ i2003_11_14_17_19_49673,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(17,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
<=> ? [B: $i] :
( ( rf @ A @ B )
& ! [C: $i] :
( ( rinvF @ B @ C )
=> ? [D: $i] :
( ( rf @ C @ D )
& ~ ( cp1 @ D ) ) )
& ( cp1 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(89,plain,
! [A: $i] :
( ( ( cUnsatisfiable @ A )
=> ? [B: $i] :
( ( rf @ A @ B )
& ! [C: $i] :
( ( rinvF @ B @ C )
=> ? [D: $i] :
( ( rf @ C @ D )
& ~ ( cp1 @ D ) ) )
& ( cp1 @ B ) ) )
& ( ? [B: $i] :
( ( rf @ A @ B )
& ! [C: $i] :
( ( rinvF @ B @ C )
=> ? [D: $i] :
( ( rf @ C @ D )
& ~ ( cp1 @ D ) ) )
& ( cp1 @ B ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(90,plain,
( ! [A: $i] :
( ( cUnsatisfiable @ A )
=> ? [B: $i] :
( ( rf @ A @ B )
& ! [C: $i] :
( ( rinvF @ B @ C )
=> ? [D: $i] :
( ( rf @ C @ D )
& ~ ( cp1 @ D ) ) )
& ( cp1 @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rf @ A @ B )
& ! [C: $i] :
( ( rinvF @ B @ C )
=> ? [D: $i] :
( ( rf @ C @ D )
& ~ ( cp1 @ D ) ) )
& ( cp1 @ B ) )
=> ( cUnsatisfiable @ A ) ) ),
inference(miniscope,[status(thm)],[89]) ).
thf(91,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rf @ A @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[90]) ).
thf(130,plain,
! [A: $i] :
( ( rf @ A @ ( sk1 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_49673 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[114,91]) ).
thf(131,plain,
rf @ i2003_11_14_17_19_49673 @ ( sk1 @ i2003_11_14_17_19_49673 ),
inference(pattern_uni,[status(thm)],[130:[bind(A,$thf( i2003_11_14_17_19_49673 ))]]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( rinvF @ A @ B )
<=> ( rf @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(102,plain,
! [A: $i,B: $i] :
( ( ( rinvF @ A @ B )
=> ( rf @ B @ A ) )
& ( ( rf @ B @ A )
=> ( rinvF @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(103,plain,
( ! [A: $i,B: $i] :
( ( rinvF @ A @ B )
=> ( rf @ B @ A ) )
& ! [A: $i,B: $i] :
( ( rf @ B @ A )
=> ( rinvF @ A @ B ) ) ),
inference(miniscope,[status(thm)],[102]) ).
thf(104,plain,
! [B: $i,A: $i] :
( ~ ( rf @ B @ A )
| ( rinvF @ A @ B ) ),
inference(cnf,[status(esa)],[103]) ).
thf(106,plain,
! [B: $i,A: $i] :
( ~ ( rf @ B @ A )
| ( rinvF @ A @ B ) ),
inference(simp,[status(thm)],[104]) ).
thf(138,plain,
! [B: $i,A: $i] :
( ( rinvF @ A @ B )
| ( ( rf @ i2003_11_14_17_19_49673 @ ( sk1 @ i2003_11_14_17_19_49673 ) )
!= ( rf @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[131,106]) ).
thf(139,plain,
rinvF @ ( sk1 @ i2003_11_14_17_19_49673 ) @ i2003_11_14_17_19_49673,
inference(pattern_uni,[status(thm)],[138:[bind(A,$thf( sk1 @ i2003_11_14_17_19_49673 )),bind(B,$thf( i2003_11_14_17_19_49673 ))]]) ).
thf(94,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rinvF @ ( sk1 @ A ) @ B )
| ( rf @ B @ ( sk2 @ B @ A ) ) ),
inference(cnf,[status(esa)],[90]) ).
thf(175,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( rf @ B @ ( sk2 @ B @ A ) )
| ( ( rinvF @ ( sk1 @ i2003_11_14_17_19_49673 ) @ i2003_11_14_17_19_49673 )
!= ( rinvF @ ( sk1 @ A ) @ B ) ) ),
inference(paramod_ordered,[status(thm)],[139,94]) ).
thf(176,plain,
( ~ ( cUnsatisfiable @ i2003_11_14_17_19_49673 )
| ( rf @ i2003_11_14_17_19_49673 @ ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 ) ) ),
inference(pattern_uni,[status(thm)],[175:[bind(A,$thf( i2003_11_14_17_19_49673 )),bind(B,$thf( i2003_11_14_17_19_49673 ))]]) ).
thf(186,plain,
( ~ $true
| ( rf @ i2003_11_14_17_19_49673 @ ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 ) ) ),
inference(rewrite,[status(thm)],[176,114]) ).
thf(187,plain,
rf @ i2003_11_14_17_19_49673 @ ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 ),
inference(simp,[status(thm)],[186]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rf @ A @ B )
& ( rf @ A @ C ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(99,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rf @ A @ B )
& ( rf @ A @ C ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( rf @ A @ B )
| ~ ( rf @ A @ C )
| ( B = C ) ),
inference(cnf,[status(esa)],[99]) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( rf @ A @ B )
| ~ ( rf @ A @ C ) ),
inference(lifteq,[status(thm)],[100]) ).
thf(481,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( rf @ A @ C )
| ( ( rf @ i2003_11_14_17_19_49673 @ ( sk1 @ i2003_11_14_17_19_49673 ) )
!= ( rf @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[131,101]) ).
thf(482,plain,
! [A: $i] :
( ( ( sk1 @ i2003_11_14_17_19_49673 )
= A )
| ~ ( rf @ i2003_11_14_17_19_49673 @ A ) ),
inference(pattern_uni,[status(thm)],[481:[bind(A,$thf( i2003_11_14_17_19_49673 )),bind(B,$thf( sk1 @ i2003_11_14_17_19_49673 )),bind(C,$thf( C ))]]) ).
thf(795,plain,
! [A: $i] :
( ( ( sk1 @ i2003_11_14_17_19_49673 )
= A )
| ~ ( rf @ i2003_11_14_17_19_49673 @ A ) ),
inference(simp,[status(thm)],[482]) ).
thf(931,plain,
! [A: $i] :
( ( ( sk1 @ i2003_11_14_17_19_49673 )
= A )
| ( ( rf @ i2003_11_14_17_19_49673 @ ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 ) )
!= ( rf @ i2003_11_14_17_19_49673 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[187,795]) ).
thf(932,plain,
( ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 )
= ( sk1 @ i2003_11_14_17_19_49673 ) ),
inference(pattern_uni,[status(thm)],[931:[bind(A,$thf( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 ))]]) ).
thf(95,plain,
! [A: $i] :
( ~ ( cUnsatisfiable @ A )
| ( cp1 @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[90]) ).
thf(122,plain,
! [A: $i] :
( ( cp1 @ ( sk1 @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_49673 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[114,95]) ).
thf(123,plain,
cp1 @ ( sk1 @ i2003_11_14_17_19_49673 ),
inference(pattern_uni,[status(thm)],[122:[bind(A,$thf( i2003_11_14_17_19_49673 ))]]) ).
thf(92,plain,
! [B: $i,A: $i] :
( ~ ( cUnsatisfiable @ A )
| ~ ( rinvF @ ( sk1 @ A ) @ B )
| ~ ( cp1 @ ( sk2 @ B @ A ) ) ),
inference(cnf,[status(esa)],[90]) ).
thf(115,plain,
! [B: $i,A: $i] :
( ~ ( rinvF @ ( sk1 @ A ) @ B )
| ~ ( cp1 @ ( sk2 @ B @ A ) )
| ( ( cUnsatisfiable @ i2003_11_14_17_19_49673 )
!= ( cUnsatisfiable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[114,92]) ).
thf(116,plain,
! [A: $i] :
( ~ ( rinvF @ ( sk1 @ i2003_11_14_17_19_49673 ) @ A )
| ~ ( cp1 @ ( sk2 @ A @ i2003_11_14_17_19_49673 ) ) ),
inference(pattern_uni,[status(thm)],[115:[bind(A,$thf( i2003_11_14_17_19_49673 ))]]) ).
thf(117,plain,
! [A: $i] :
( ~ ( rinvF @ ( sk1 @ i2003_11_14_17_19_49673 ) @ A )
| ~ ( cp1 @ ( sk2 @ A @ i2003_11_14_17_19_49673 ) ) ),
inference(simp,[status(thm)],[116]) ).
thf(132,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( rf @ B @ A )
| ~ ( cp1 @ ( sk2 @ C @ i2003_11_14_17_19_49673 ) )
| ( ( rinvF @ A @ B )
!= ( rinvF @ ( sk1 @ i2003_11_14_17_19_49673 ) @ C ) ) ),
inference(paramod_ordered,[status(thm)],[106,117]) ).
thf(133,plain,
! [A: $i] :
( ~ ( rf @ A @ ( sk1 @ i2003_11_14_17_19_49673 ) )
| ~ ( cp1 @ ( sk2 @ A @ i2003_11_14_17_19_49673 ) ) ),
inference(pattern_uni,[status(thm)],[132:[bind(A,$thf( sk1 @ i2003_11_14_17_19_49673 )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(144,plain,
! [A: $i] :
( ~ ( rf @ A @ ( sk1 @ i2003_11_14_17_19_49673 ) )
| ~ ( cp1 @ ( sk2 @ A @ i2003_11_14_17_19_49673 ) ) ),
inference(simp,[status(thm)],[133]) ).
thf(152,plain,
! [A: $i] :
( ~ ( cp1 @ ( sk2 @ A @ i2003_11_14_17_19_49673 ) )
| ( ( rf @ i2003_11_14_17_19_49673 @ ( sk1 @ i2003_11_14_17_19_49673 ) )
!= ( rf @ A @ ( sk1 @ i2003_11_14_17_19_49673 ) ) ) ),
inference(paramod_ordered,[status(thm)],[131,144]) ).
thf(153,plain,
~ ( cp1 @ ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 ) ),
inference(pattern_uni,[status(thm)],[152:[bind(A,$thf( i2003_11_14_17_19_49673 ))]]) ).
thf(156,plain,
( ( cp1 @ ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 ) )
!= ( cp1 @ ( sk1 @ i2003_11_14_17_19_49673 ) ) ),
inference(paramod_ordered,[status(thm)],[123,153]) ).
thf(158,plain,
( ( sk2 @ i2003_11_14_17_19_49673 @ i2003_11_14_17_19_49673 )
!= ( sk1 @ i2003_11_14_17_19_49673 ) ),
inference(simp,[status(thm)],[156]) ).
thf(1006,plain,
$false,
inference(simplifyReflect,[status(thm)],[932,158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 6 22:57:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.82/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.13/0.98 % [INFO] Parsing done (135ms).
% 1.13/0.99 % [INFO] Running in sequential loop mode.
% 1.63/1.27 % [INFO] nitpick registered as external prover.
% 1.63/1.28 % [INFO] Scanning for conjecture ...
% 1.83/1.32 % [INFO] 22 axioms and no conjecture found.
% 1.97/1.39 % [INFO] Problem is first-order (TPTP FOF).
% 1.97/1.39 % [INFO] Type checking passed.
% 1.97/1.40 % [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 ...
% 9.78/3.25 % [INFO] Killing All external provers ...
% 9.78/3.26 % Time passed: 2756ms (effective reasoning time: 2258ms)
% 9.78/3.27 % Axioms used in derivation (4): axiom_7, axiom_2, axiom_4, axiom_3
% 9.78/3.27 % No. of inferences in proof: 44
% 9.78/3.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2756 ms resp. 2258 ms w/o parsing
% 9.78/3.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.78/3.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------