TSTP Solution File: SWV366+1 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWV366+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% 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 : Mon Jun 24 17:28:47 EDT 2024
% Result : Timeout 292.20s 47.60s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 23 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 295 ( 13 ~; 3 |; 0 &; 276 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 71 ( 0 ^ 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(i_type,type,
i: $i > $i ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(insert_slb_type,type,
insert_slb: $i > $i > $i ).
thf(pair_type,type,
pair: $i > $i > $i ).
thf(insert_pq_type,type,
insert_pq: $i > $i > $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(62,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( i @ ( triple @ A @ ( insert_slb @ B @ ( pair @ D @ E ) ) @ C ) )
= ( insert_pq @ ( i @ ( triple @ A @ B @ C ) ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(287,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( i @ ( triple @ A @ ( insert_slb @ B @ ( pair @ D @ E ) ) @ C ) )
= ( insert_pq @ ( i @ ( triple @ A @ B @ C ) ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(288,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( i @ ( triple @ A @ ( insert_slb @ B @ ( pair @ D @ E ) ) @ C ) )
= ( insert_pq @ ( i @ ( triple @ A @ B @ C ) ) @ D ) ),
inference(cnf,[status(esa)],[287]) ).
thf(289,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( i @ ( triple @ A @ ( insert_slb @ B @ ( pair @ D @ E ) ) @ C ) )
= ( insert_pq @ ( i @ ( triple @ A @ B @ C ) ) @ D ) ),
inference(lifteq,[status(thm)],[288]) ).
thf(1,conjecture,
! [A: $i] :
( ! [B: $i,C: $i,D: $i,E: $i] :
( ( i @ ( triple @ B @ A @ D ) )
= ( i @ ( triple @ C @ A @ E ) ) )
=> ! [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( i @ ( triple @ B @ ( insert_slb @ A @ ( pair @ F @ G ) ) @ D ) )
= ( i @ ( triple @ C @ ( insert_slb @ A @ ( pair @ F @ G ) ) @ E ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_co) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ! [B: $i,C: $i,D: $i,E: $i] :
( ( i @ ( triple @ B @ A @ D ) )
= ( i @ ( triple @ C @ A @ E ) ) )
=> ! [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( i @ ( triple @ B @ ( insert_slb @ A @ ( pair @ F @ G ) ) @ D ) )
= ( i @ ( triple @ C @ ( insert_slb @ A @ ( pair @ F @ G ) ) @ E ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(65,plain,
~ ! [A: $i] :
( ! [B: $i,C: $i,D: $i,E: $i] :
( ( i @ ( triple @ B @ A @ D ) )
= ( i @ ( triple @ C @ A @ E ) ) )
=> ! [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( i @ ( triple @ B @ ( insert_slb @ A @ ( pair @ F @ G ) ) @ D ) )
= ( i @ ( triple @ C @ ( insert_slb @ A @ ( pair @ F @ G ) ) @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(66,plain,
( ( i @ ( triple @ sk2 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk4 ) )
!= ( i @ ( triple @ sk3 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk5 ) ) ),
inference(cnf,[status(esa)],[65]) ).
thf(68,plain,
( ( i @ ( triple @ sk3 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk5 ) )
!= ( i @ ( triple @ sk2 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk4 ) ) ),
inference(lifteq,[status(thm)],[66]) ).
thf(66923,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( insert_pq @ ( i @ ( triple @ A @ B @ C ) ) @ D )
!= ( i @ ( triple @ sk2 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk4 ) ) )
| ( ( i @ ( triple @ A @ ( insert_slb @ B @ ( pair @ D @ E ) ) @ C ) )
!= ( i @ ( triple @ sk3 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk5 ) ) ) ),
inference(paramod_ordered,[status(thm)],[289,68]) ).
thf(66924,plain,
( ( insert_pq @ ( i @ ( triple @ sk3 @ sk1 @ sk5 ) ) @ sk6 )
!= ( i @ ( triple @ sk2 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[66923:[bind(A,$thf( sk3 )),bind(B,$thf( sk1 )),bind(C,$thf( sk5 )),bind(D,$thf( sk6 )),bind(E,$thf( sk7 ))]]) ).
thf(67810,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( insert_pq @ ( i @ ( triple @ A @ B @ C ) ) @ D )
!= ( insert_pq @ ( i @ ( triple @ sk3 @ sk1 @ sk5 ) ) @ sk6 ) )
| ( ( i @ ( triple @ A @ ( insert_slb @ B @ ( pair @ D @ E ) ) @ C ) )
!= ( i @ ( triple @ sk2 @ ( insert_slb @ sk1 @ ( pair @ sk6 @ sk7 ) ) @ sk4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[289,66924]) ).
thf(67811,plain,
( ( insert_pq @ ( i @ ( triple @ sk3 @ sk1 @ sk5 ) ) @ sk6 )
!= ( insert_pq @ ( i @ ( triple @ sk2 @ sk1 @ sk4 ) ) @ sk6 ) ),
inference(pattern_uni,[status(thm)],[67810:[bind(A,$thf( sk2 )),bind(B,$thf( sk1 )),bind(C,$thf( sk4 )),bind(D,$thf( sk6 )),bind(E,$thf( sk7 ))]]) ).
thf(68333,plain,
( ( ( i @ ( triple @ sk3 @ sk1 @ sk5 ) )
!= ( i @ ( triple @ sk2 @ sk1 @ sk4 ) ) )
| ( sk6 != sk6 ) ),
inference(simp,[status(thm)],[67811]) ).
thf(68702,plain,
( ( i @ ( triple @ sk3 @ sk1 @ sk5 ) )
!= ( i @ ( triple @ sk2 @ sk1 @ sk4 ) ) ),
inference(simp,[status(thm)],[68333]) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( i @ ( triple @ A @ sk1 @ C ) )
= ( i @ ( triple @ B @ sk1 @ D ) ) ),
inference(cnf,[status(esa)],[65]) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( i @ ( triple @ A @ sk1 @ C ) )
= ( i @ ( triple @ B @ sk1 @ D ) ) ),
inference(lifteq,[status(thm)],[67]) ).
thf(68721,plain,
$false,
inference(simplifyReflect,[status(thm)],[68702,69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV366+1 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 16:34:25 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.94/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/0.98 % [INFO] Parsing done (134ms).
% 1.30/0.99 % [INFO] Running in sequential loop mode.
% 1.83/1.20 % [INFO] nitpick registered as external prover.
% 1.83/1.20 % [INFO] Scanning for conjecture ...
% 2.01/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 62 axioms. Running axiom selection ...
% 2.24/1.33 % [INFO] Axiom selection finished. Selected 62 axioms (removed 0 axioms).
% 2.43/1.40 % [INFO] Problem is first-order (TPTP FOF).
% 2.43/1.41 % [INFO] Type checking passed.
% 2.43/1.41 % [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 ...
% 292.20/47.60 % [INFO] Killing All external provers ...
% 292.20/47.60 % Time passed: 47076ms (effective reasoning time: 46604ms)
% 292.20/47.60 % Solved by 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)>
% 292.20/47.60 % Axioms used in derivation (1): ax55
% 292.20/47.60 % No. of inferences in proof: 18
% 292.20/47.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 47076 ms resp. 46604 ms w/o parsing
% 292.20/47.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 292.20/47.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------