TSTP Solution File: LAT322+3 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT322+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 63.88s 14.19s
% Output : Refutation 63.88s
% 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 : 125 ( 13 ~; 7 |; 2 &; 96 @)
% ( 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 : 51 ( 0 ^; 50 !; 1 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
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(sk98_type,type,
sk98: $i > $i > $i ).
thf(138,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_xboole_0) ).
thf(1418,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)],[138]) ).
thf(1419,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)],[1418]) ).
thf(1420,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(cnf,[status(esa)],[1419]) ).
thf(1422,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(lifteq,[status(thm)],[1420]) ).
thf(1423,plain,
v1_xboole_0 @ k1_xboole_0,
inference(simp,[status(thm)],[1422]) ).
thf(240,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(1871,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(1872,plain,
~ ? [A: $i] : ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(miniscope,[status(thm)],[1871]) ).
thf(1873,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(cnf,[status(esa)],[1872]) ).
thf(4599,plain,
! [A: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[1423,1873]) ).
thf(4606,plain,
! [A: $i] :
( ( k1_zfmisc_1 @ A )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[4599]) ).
thf(115,axiom,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
thf(1336,plain,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(1337,plain,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(cnf,[status(esa)],[1336]) ).
thf(1338,plain,
! [A: $i] :
( ( k2_xboole_0 @ A @ k1_xboole_0 )
= A ),
inference(lifteq,[status(thm)],[1337]) ).
thf(172,axiom,
! [A: $i,B: $i] :
( ( k4_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_xboole_1) ).
thf(1551,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)],[172]) ).
thf(1552,plain,
! [B: $i,A: $i] :
( ( k4_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[1551]) ).
thf(1553,plain,
! [B: $i,A: $i] :
( ( k4_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= k1_xboole_0 ),
inference(lifteq,[status(thm)],[1552]) ).
thf(7258,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)],[1338,1553]) ).
thf(7259,plain,
! [A: $i] :
( ( k4_xboole_0 @ A @ A )
= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[7258:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( k1_xboole_0 ))]]) ).
thf(255,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(1948,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)],[255]) ).
thf(1949,plain,
! [B: $i,A: $i] :
( ( ( k4_xboole_0 @ A @ B )
!= ( k4_xboole_0 @ B @ A ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[1948]) ).
thf(1950,plain,
! [B: $i,A: $i] :
( ( ( k4_xboole_0 @ A @ B )
!= ( k4_xboole_0 @ B @ A ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[1949]) ).
thf(1951,plain,
! [B: $i,A: $i] :
( ( sk98 @ A @ ( k4_xboole_0 @ B @ A ) )
= B ),
introduced(tautology,[new_symbols(inverse(k4_xboole_0),[sk98])]) ).
thf(9382,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk98 @ B @ k1_xboole_0 )
= C )
| ( ( k4_xboole_0 @ A @ A )
!= ( k4_xboole_0 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[7259,1951]) ).
thf(9383,plain,
! [A: $i] :
( ( sk98 @ A @ k1_xboole_0 )
= A ),
inference(pattern_uni,[status(thm)],[9382:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(182,axiom,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
thf(1590,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(1591,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[1590]) ).
thf(1592,plain,
! [A: $i] :
( ( k4_xboole_0 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(lifteq,[status(thm)],[1591]) ).
thf(9372,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk98 @ B @ k1_xboole_0 )
= C )
| ( ( k4_xboole_0 @ k1_xboole_0 @ A )
!= ( k4_xboole_0 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1592,1951]) ).
thf(9373,plain,
! [A: $i] :
( ( sk98 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[9372:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( k1_xboole_0 ))]]) ).
thf(9535,plain,
! [A: $i] : k1_xboole_0 = A,
inference(rewrite,[status(thm)],[9383,9373]) ).
thf(9538,plain,
$false,
inference(simplifyReflect,[status(thm)],[4606,9535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT322+3 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n014.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu May 18 14:33:14 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.99/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.81/1.83 % [INFO] Parsing done (919ms).
% 3.90/1.84 % [INFO] Running in sequential loop mode.
% 4.13/2.05 % [INFO] eprover registered as external prover.
% 4.13/2.05 % [INFO] cvc4 registered as external prover.
% 4.34/2.06 % [INFO] Scanning for conjecture ...
% 6.52/2.64 % [INFO] Found a conjecture and 13651 axioms. Running axiom selection ...
% 10.04/4.28 % [INFO] Axiom selection finished. Selected 806 axioms (removed 12845 axioms).
% 11.39/4.69 % [INFO] Problem is first-order (TPTP FOF).
% 11.39/4.72 % [INFO] Type checking passed.
% 11.39/4.72 % [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 ...
% 63.88/14.18 % [INFO] Killing All external provers ...
% 63.88/14.18 % Time passed: 13644ms (effective reasoning time: 12337ms)
% 63.88/14.19 % Axioms used in derivation (6): t1_boole, d5_xboole_0, fc1_subset_1, t46_xboole_1, t4_boole, t32_xboole_1
% 63.88/14.19 % No. of inferences in proof: 37
% 63.88/14.19 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 13644 ms resp. 12337 ms w/o parsing
% 63.88/14.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.88/14.20 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------