TSTP Solution File: GRP633+3 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP633+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 : Fri May 19 11:14:40 EDT 2023
% Result : ContradictoryAxioms 218.55s 44.32s
% Output : Refutation 218.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 18 unt; 6 typ; 0 def)
% Number of atoms : 53 ( 43 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 113 ( 16 ~; 12 |; 2 &; 76 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 43 !; 1 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(np__0_type,type,
np__0: $i ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(r2_wellord2_type,type,
r2_wellord2: $i > $i > $o ).
thf(sk27_type,type,
sk27: $i > $i > $i ).
thf(474,axiom,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
<=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1) ).
thf(3369,plain,
! [A: $i,B: $i] :
( ( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) )
& ( ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) )
=> ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(3370,plain,
( ! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) )
& ! [A: $i,B: $i] :
( ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) )
=> ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ) ),
inference(miniscope,[status(thm)],[3369]) ).
thf(3372,plain,
! [B: $i,A: $i] :
( ( B != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[3370]) ).
thf(3376,plain,
! [B: $i,A: $i] :
( ( B != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[3372]) ).
thf(3377,plain,
! [A: $i] :
( ( k2_zfmisc_1 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(simp,[status(thm)],[3376]) ).
thf(406,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
thf(3027,plain,
np__0 = k1_xboole_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(3028,plain,
k1_xboole_0 = np__0,
inference(lifteq,[status(thm)],[3027]) ).
thf(10798,plain,
! [A: $i] :
( ( k2_zfmisc_1 @ A @ np__0 )
= np__0 ),
inference(rewrite,[status(thm)],[3377,3028]) ).
thf(160,axiom,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
= ( k2_zfmisc_1 @ B @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_zfmisc_1) ).
thf(1947,plain,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
= ( k2_zfmisc_1 @ B @ B ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(1948,plain,
! [B: $i,A: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
!= ( k2_zfmisc_1 @ B @ B ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[1947]) ).
thf(1949,plain,
! [B: $i,A: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
!= ( k2_zfmisc_1 @ B @ B ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[1948]) ).
thf(1950,plain,
! [B: $i,A: $i] :
( ( sk27 @ A @ ( k2_zfmisc_1 @ B @ A ) )
= B ),
introduced(tautology,[new_symbols(inverse(k2_zfmisc_1),[sk27])]) ).
thf(94696,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk27 @ B @ np__0 )
= C )
| ( ( k2_zfmisc_1 @ A @ np__0 )
!= ( k2_zfmisc_1 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[10798,1950]) ).
thf(94697,plain,
! [A: $i] :
( ( sk27 @ np__0 @ np__0 )
= A ),
inference(pattern_uni,[status(thm)],[94696:[bind(A,$thf( A )),bind(B,$thf( np__0 )),bind(C,$thf( A ))]]) ).
thf(372,axiom,
! [A: $i,B: $i] : ( r2_wellord2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_wellord2) ).
thf(2884,plain,
! [A: $i] : ( r2_wellord2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(2885,plain,
! [A: $i] : ( r2_wellord2 @ A @ A ),
inference(cnf,[status(esa)],[2884]) ).
thf(178,axiom,
! [A: $i] :
~ ( r2_wellord2 @ A @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_card_1) ).
thf(2009,plain,
! [A: $i] :
~ ( r2_wellord2 @ A @ ( k1_zfmisc_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(2010,plain,
~ ? [A: $i] : ( r2_wellord2 @ A @ ( k1_zfmisc_1 @ A ) ),
inference(miniscope,[status(thm)],[2009]) ).
thf(2011,plain,
! [A: $i] :
~ ( r2_wellord2 @ A @ ( k1_zfmisc_1 @ A ) ),
inference(cnf,[status(esa)],[2010]) ).
thf(11079,plain,
! [B: $i,A: $i] :
( ( r2_wellord2 @ A @ A )
!= ( r2_wellord2 @ B @ ( k1_zfmisc_1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2885,2011]) ).
thf(11080,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( A
!= ( k1_zfmisc_1 @ B ) ) ),
inference(simp,[status(thm)],[11079]) ).
thf(11081,plain,
! [A: $i] :
( ( k1_zfmisc_1 @ A )
!= A ),
inference(simp,[status(thm)],[11080]) ).
thf(97050,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ np__0 @ np__0 )
!= B )
| ( A
!= ( k1_zfmisc_1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[94697,11081]) ).
thf(97051,plain,
! [A: $i] :
( ( sk27 @ np__0 @ np__0 )
!= A ),
inference(pattern_uni,[status(thm)],[97050:[bind(A,$thf( k1_zfmisc_1 @ C )),bind(B,$thf( C ))]]) ).
thf(97961,plain,
$false,
inference(simp,[status(thm)],[97051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP633+3 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n006.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 19 01:43:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.85/1.71 % [INFO] Parsing done (847ms).
% 3.85/1.72 % [INFO] Running in sequential loop mode.
% 4.18/1.93 % [INFO] eprover registered as external prover.
% 4.18/1.94 % [INFO] cvc4 registered as external prover.
% 4.18/1.94 % [INFO] Scanning for conjecture ...
% 6.41/2.60 % [INFO] Found a conjecture and 12914 axioms. Running axiom selection ...
% 9.11/3.92 % [INFO] Axiom selection finished. Selected 1390 axioms (removed 11524 axioms).
% 11.03/4.54 % [INFO] Problem is first-order (TPTP FOF).
% 11.07/4.58 % [INFO] Type checking passed.
% 11.07/4.58 % [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 ...
% 218.55/44.31 % [INFO] Killing All external provers ...
% 218.55/44.32 % Time passed: 43795ms (effective reasoning time: 42590ms)
% 218.55/44.32 % Axioms used in derivation (5): t113_zfmisc_1, t115_zfmisc_1, reflexivity_r2_wellord2, t51_card_1, t29_card_1
% 218.55/44.32 % No. of inferences in proof: 30
% 218.55/44.32 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 43795 ms resp. 42590 ms w/o parsing
% 218.55/44.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 218.55/44.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------