TSTP Solution File: SEV013^5 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEV013^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 : Tue May 21 04:10:44 EDT 2024
% Result : Theorem 2.50s 1.57s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 4 unt; 6 typ; 0 def)
% Number of atoms : 59 ( 58 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 20 |; 8 &; 0 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 ^ 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a ).
thf(sk2_type,type,
sk2: a ).
thf(sk3_type,type,
sk3: a ).
thf(sk4_type,type,
sk4: a ).
thf(sk5_type,type,
sk5: a ).
thf(1,conjecture,
( ! [A: a] : ( A = A )
& ! [A: a,B: a] :
( ( A = B )
=> ( B = A ) )
& ! [A: a,B: a,C: a] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM511_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a] : ( A = A )
& ! [A: a,B: a] :
( ( A = B )
=> ( B = A ) )
& ! [A: a,B: a,C: a] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: a,B: a] :
( ( A = B )
=> ( B = A ) )
& ! [A: a,B: a,C: a] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
( ( sk1 = sk2 )
| ( sk4 = sk5 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(12,plain,
( ( sk2 = sk1 )
| ( sk5 = sk4 ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(7,plain,
( ( sk1 = sk2 )
| ( sk3 != sk5 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(13,plain,
( ( sk2 = sk1 )
| ( sk5 != sk3 ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(22,plain,
( ( sk2 = sk1 )
| ( sk4 != sk3 )
| ( sk5 != sk5 ) ),
inference(paramod_ordered,[status(thm)],[12,13]) ).
thf(23,plain,
( ( sk2 = sk1 )
| ( sk4 != sk3 ) ),
inference(pattern_uni,[status(thm)],[22:[]]) ).
thf(5,plain,
( ( sk1 = sk2 )
| ( sk3 = sk4 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
( ( sk2 = sk1 )
| ( sk4 = sk3 ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(4,plain,
( ( sk2 != sk1 )
| ( sk3 = sk4 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(15,plain,
( ( sk2 != sk1 )
| ( sk4 = sk3 ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
( ( sk2 != sk1 )
| ( sk4 = sk5 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
( ( sk2 != sk1 )
| ( sk5 = sk4 ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(8,plain,
( ( sk2 != sk1 )
| ( sk3 != sk5 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(14,plain,
( ( sk2 != sk1 )
| ( sk5 != sk3 ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(26,plain,
( ( sk2 != sk1 )
| ( sk4 != sk3 )
| ( sk5 != sk5 ) ),
inference(paramod_ordered,[status(thm)],[11,14]) ).
thf(27,plain,
( ( sk2 != sk1 )
| ( sk4 != sk3 ) ),
inference(pattern_uni,[status(thm)],[26:[]]) ).
thf(34,plain,
( ( sk2 != sk1 )
| ( sk4 != sk4 ) ),
inference(paramod_ordered,[status(thm)],[15,27]) ).
thf(35,plain,
sk2 != sk1,
inference(pattern_uni,[status(thm)],[34:[]]) ).
thf(36,plain,
sk4 = sk3,
inference(simplifyReflect,[status(thm)],[10,35]) ).
thf(39,plain,
( ( sk2 = sk1 )
| ( sk3 != sk3 ) ),
inference(rewrite,[status(thm)],[23,36]) ).
thf(40,plain,
sk2 = sk1,
inference(simp,[status(thm)],[39]) ).
thf(41,plain,
$false,
inference(simplifyReflect,[status(thm)],[40,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV013^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n029.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
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 19:09:54 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.93/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/0.96 % [INFO] Parsing done (102ms).
% 1.24/0.97 % [INFO] Running in sequential loop mode.
% 1.62/1.19 % [INFO] nitpick registered as external prover.
% 1.62/1.20 % [INFO] Scanning for conjecture ...
% 1.77/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.81/1.27 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.81/1.27 % [INFO] Type checking passed.
% 1.81/1.27 % [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 ...
% 2.50/1.57 % [INFO] Killing All external provers ...
% 2.50/1.57 % Time passed: 1048ms (effective reasoning time: 591ms)
% 2.50/1.57 % 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)>
% 2.50/1.57 % Axioms used in derivation (0):
% 2.50/1.57 % No. of inferences in proof: 25
% 2.50/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1048 ms resp. 591 ms w/o parsing
% 2.50/1.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.50/1.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------