TSTP Solution File: LAT318+3 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT318+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 11:27:46 EDT 2023
% Result : ContradictoryAxioms 254.13s 52.53s
% Output : Refutation 254.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 30 unt; 6 typ; 0 def)
% Number of atoms : 58 ( 43 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 137 ( 12 ~; 6 |; 2 &; 110 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 52 !; 1 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(k4_xboole_0_type,type,
k4_xboole_0: $i > $i > $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(k3_xboole_0_type,type,
k3_xboole_0: $i > $i > $i ).
thf(sk21_type,type,
sk21: $i > $i > $i ).
thf(464,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_xboole_0) ).
thf(3445,plain,
! [A: $i] :
( ( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) )
& ( ( A = k1_xboole_0 )
=> ( v1_xboole_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(3446,plain,
( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) )
& ! [A: $i] :
( ( A = k1_xboole_0 )
=> ( v1_xboole_0 @ A ) ) ),
inference(miniscope,[status(thm)],[3445]) ).
thf(3447,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(cnf,[status(esa)],[3446]) ).
thf(3449,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(lifteq,[status(thm)],[3447]) ).
thf(3450,plain,
v1_xboole_0 @ k1_xboole_0,
inference(simp,[status(thm)],[3449]) ).
thf(661,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(4396,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[661]) ).
thf(4397,plain,
~ ? [A: $i] : ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(miniscope,[status(thm)],[4396]) ).
thf(4398,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(cnf,[status(esa)],[4397]) ).
thf(7149,plain,
! [A: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[3450,4398]) ).
thf(7156,plain,
! [A: $i] :
( ( k1_zfmisc_1 @ A )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[7149]) ).
thf(334,axiom,
! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
thf(2692,plain,
! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(2693,plain,
! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[2692]) ).
thf(2694,plain,
! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(lifteq,[status(thm)],[2693]) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ( k4_xboole_0 @ A @ ( k4_xboole_0 @ A @ B ) )
= ( k3_xboole_0 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
thf(1439,plain,
! [A: $i,B: $i] :
( ( k4_xboole_0 @ A @ ( k4_xboole_0 @ A @ B ) )
= ( k3_xboole_0 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(1440,plain,
! [B: $i,A: $i] :
( ( k4_xboole_0 @ A @ ( k4_xboole_0 @ A @ B ) )
= ( k3_xboole_0 @ A @ B ) ),
inference(cnf,[status(esa)],[1439]) ).
thf(1441,plain,
! [B: $i,A: $i] :
( ( k3_xboole_0 @ A @ B )
= ( k4_xboole_0 @ A @ ( k4_xboole_0 @ A @ B ) ) ),
inference(lifteq,[status(thm)],[1440]) ).
thf(53034,plain,
! [A: $i] :
( ( k4_xboole_0 @ A @ ( k4_xboole_0 @ A @ k1_xboole_0 ) )
= k1_xboole_0 ),
inference(rewrite,[status(thm)],[2694,1441]) ).
thf(34,axiom,
! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
thf(1313,plain,
! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(1314,plain,
! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(cnf,[status(esa)],[1313]) ).
thf(1315,plain,
! [A: $i] :
( ( k4_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(lifteq,[status(thm)],[1314]) ).
thf(53172,plain,
! [A: $i] :
( ( k4_xboole_0 @ A @ A )
= k1_xboole_0 ),
inference(rewrite,[status(thm)],[53034,1315]) ).
thf(70,axiom,
! [A: $i,B: $i] :
( ( ( k4_xboole_0 @ A @ B )
= ( k4_xboole_0 @ B @ A ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_xboole_1) ).
thf(1453,plain,
! [A: $i,B: $i] :
( ( ( k4_xboole_0 @ A @ B )
= ( k4_xboole_0 @ B @ A ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(1454,plain,
! [B: $i,A: $i] :
( ( ( k4_xboole_0 @ A @ B )
!= ( k4_xboole_0 @ B @ A ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[1453]) ).
thf(1455,plain,
! [B: $i,A: $i] :
( ( ( k4_xboole_0 @ A @ B )
!= ( k4_xboole_0 @ B @ A ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[1454]) ).
thf(1456,plain,
! [B: $i,A: $i] :
( ( sk21 @ A @ ( k4_xboole_0 @ B @ A ) )
= B ),
introduced(tautology,[new_symbols(inverse(k4_xboole_0),[sk21])]) ).
thf(54129,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk21 @ B @ k1_xboole_0 )
= C )
| ( ( k4_xboole_0 @ A @ A )
!= ( k4_xboole_0 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[53172,1456]) ).
thf(54130,plain,
! [A: $i] :
( ( sk21 @ A @ k1_xboole_0 )
= A ),
inference(pattern_uni,[status(thm)],[54129:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(197,axiom,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
thf(2014,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(2015,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[2014]) ).
thf(2016,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(lifteq,[status(thm)],[2015]) ).
thf(54127,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk21 @ B @ k1_xboole_0 )
= C )
| ( ( k4_xboole_0 @ k1_xboole_0 @ A )
!= ( k4_xboole_0 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[2016,1456]) ).
thf(54128,plain,
! [A: $i] :
( ( sk21 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[54127:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( k1_xboole_0 ))]]) ).
thf(54180,plain,
! [A: $i] : k1_xboole_0 = A,
inference(rewrite,[status(thm)],[54130,54128]) ).
thf(54185,plain,
$false,
inference(simplifyReflect,[status(thm)],[7156,54180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT318+3 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n023.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 : Thu May 18 14:32:46 EDT 2023
% 0.16/0.37 % CPUTime :
% 1.08/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.73/1.75 % [INFO] Parsing done (819ms).
% 3.73/1.77 % [INFO] Running in sequential loop mode.
% 4.10/1.96 % [INFO] eprover registered as external prover.
% 4.10/1.96 % [INFO] cvc4 registered as external prover.
% 4.10/1.97 % [INFO] Scanning for conjecture ...
% 6.61/2.58 % [INFO] Found a conjecture and 13644 axioms. Running axiom selection ...
% 9.82/3.88 % [INFO] Axiom selection finished. Selected 1170 axioms (removed 12474 axioms).
% 11.89/4.54 % [INFO] Problem is first-order (TPTP FOF).
% 11.89/4.59 % [INFO] Type checking passed.
% 12.11/4.59 % [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 ...
% 254.13/52.52 % [INFO] Killing All external provers ...
% 254.13/52.53 % Time passed: 51989ms (effective reasoning time: 50755ms)
% 254.13/52.53 % Axioms used in derivation (7): d5_xboole_0, t2_boole, t3_boole, t4_boole, t32_xboole_1, fc1_subset_1, t48_xboole_1
% 254.13/52.53 % No. of inferences in proof: 41
% 254.13/52.53 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 51989 ms resp. 50755 ms w/o parsing
% 254.13/52.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 254.13/52.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------