TSTP Solution File: LAT322+4 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT322+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 11:27:50 EDT 2023
% Result : ContradictoryAxioms 97.60s 24.39s
% Output : Refutation 97.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 25 unt; 6 typ; 0 def)
% Number of atoms : 55 ( 40 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 119 ( 13 ~; 7 |; 2 &; 90 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(k2_xboole_0_type,type,
k2_xboole_0: $i > $i > $i ).
thf(k4_xboole_0_type,type,
k4_xboole_0: $i > $i > $i ).
thf(sk210_type,type,
sk210: $i > $i > $i ).
thf(sk384_type,type,
sk384: $i ).
thf(425,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_xboole_0) ).
thf(3361,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)],[425]) ).
thf(3362,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)],[3361]) ).
thf(3363,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(cnf,[status(esa)],[3362]) ).
thf(3365,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(lifteq,[status(thm)],[3363]) ).
thf(3366,plain,
v1_xboole_0 @ k1_xboole_0,
inference(simp,[status(thm)],[3365]) ).
thf(1312,axiom,
~ ! [A: $i] : ( v1_xboole_0 @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_gate_1) ).
thf(6937,plain,
~ ! [A: $i] : ( v1_xboole_0 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1312]) ).
thf(6938,plain,
~ ! [A: $i] : ( v1_xboole_0 @ A ),
inference(polarity_switch,[status(thm)],[6937]) ).
thf(6939,plain,
~ ( v1_xboole_0 @ sk384 ),
inference(cnf,[status(esa)],[6938]) ).
thf(7623,plain,
( ( v1_xboole_0 @ sk384 )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[3366,6939]) ).
thf(7626,plain,
sk384 != k1_xboole_0,
inference(simp,[status(thm)],[7623]) ).
thf(340,axiom,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
thf(2983,plain,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(2984,plain,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(cnf,[status(esa)],[2983]) ).
thf(2985,plain,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(lifteq,[status(thm)],[2984]) ).
thf(503,axiom,
! [A: $i,B: $i] :
( ( k4_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_xboole_1) ).
thf(3655,plain,
! [A: $i,B: $i] :
( ( k4_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= k1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(3656,plain,
! [B: $i,A: $i] :
( ( k4_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[3655]) ).
thf(3657,plain,
! [B: $i,A: $i] :
( ( k4_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= k1_xboole_0 ),
inference(lifteq,[status(thm)],[3656]) ).
thf(15279,plain,
! [C: $i,B: $i,A: $i] :
( ( ( k4_xboole_0 @ B @ A )
= k1_xboole_0 )
| ( ( k2_xboole_0 @ A @ k1_xboole_0 )
!= ( k2_xboole_0 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[2985,3657]) ).
thf(15280,plain,
! [A: $i] :
( ( k4_xboole_0 @ A @ A )
= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[15279:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( k1_xboole_0 ))]]) ).
thf(678,axiom,
! [A: $i,B: $i] :
( ( ( k4_xboole_0 @ A @ B )
= ( k4_xboole_0 @ B @ A ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_xboole_1) ).
thf(4425,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)],[678]) ).
thf(4426,plain,
! [B: $i,A: $i] :
( ( ( k4_xboole_0 @ A @ B )
!= ( k4_xboole_0 @ B @ A ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[4425]) ).
thf(4427,plain,
! [B: $i,A: $i] :
( ( ( k4_xboole_0 @ A @ B )
!= ( k4_xboole_0 @ B @ A ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[4426]) ).
thf(4428,plain,
! [B: $i,A: $i] :
( ( sk210 @ A @ ( k4_xboole_0 @ B @ A ) )
= B ),
introduced(tautology,[new_symbols(inverse(k4_xboole_0),[sk210])]) ).
thf(16661,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk210 @ B @ k1_xboole_0 )
= C )
| ( ( k4_xboole_0 @ A @ A )
!= ( k4_xboole_0 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[15280,4428]) ).
thf(16662,plain,
! [A: $i] :
( ( sk210 @ A @ k1_xboole_0 )
= A ),
inference(pattern_uni,[status(thm)],[16661:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(540,axiom,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_boole) ).
thf(3792,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(3793,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[3792]) ).
thf(3794,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(lifteq,[status(thm)],[3793]) ).
thf(16643,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk210 @ B @ k1_xboole_0 )
= C )
| ( ( k4_xboole_0 @ k1_xboole_0 @ A )
!= ( k4_xboole_0 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[3794,4428]) ).
thf(16644,plain,
! [A: $i] :
( ( sk210 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[16643:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( k1_xboole_0 ))]]) ).
thf(16886,plain,
! [A: $i] : k1_xboole_0 = A,
inference(rewrite,[status(thm)],[16662,16644]) ).
thf(16894,plain,
$false,
inference(simplifyReflect,[status(thm)],[7626,16886]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT322+4 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % 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 14:36:38 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.94/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 6.53/2.74 % [INFO] Parsing done (1839ms).
% 6.53/2.75 % [INFO] Running in sequential loop mode.
% 7.06/2.94 % [INFO] eprover registered as external prover.
% 7.06/2.95 % [INFO] cvc4 registered as external prover.
% 7.06/2.95 % [INFO] Scanning for conjecture ...
% 10.36/4.16 % [INFO] Found a conjecture and 34726 axioms. Running axiom selection ...
% 17.41/8.07 % [INFO] Axiom selection finished. Selected 1457 axioms (removed 33269 axioms).
% 19.12/8.70 % [INFO] Problem is first-order (TPTP FOF).
% 19.42/8.75 % [INFO] Type checking passed.
% 19.42/8.75 % [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 ...
% 97.60/24.37 % [INFO] Killing All external provers ...
% 97.60/24.38 % Time passed: 23854ms (effective reasoning time: 21623ms)
% 97.60/24.38 % Axioms used in derivation (6): t1_boole, d5_xboole_0, t2_gate_1, t46_xboole_1, t4_boole, t32_xboole_1
% 97.60/24.38 % No. of inferences in proof: 37
% 97.60/24.39 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 23854 ms resp. 21623 ms w/o parsing
% 97.60/24.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 97.60/24.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------