TSTP Solution File: SEU925^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU925^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 03:44:15 EDT 2024
% Result : Theorem 2.46s 1.55s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 29 ( 28 equ; 10 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 31 ( 6 ~; 2 |; 0 &; 20 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( ( (=) @ $i @ A )
= ( (=) @ $i @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM7_TPS2_pme) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( (=) @ $i @ A )
= ( (=) @ $i @ B ) )
=> ( A = B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i] :
( ( ( (=) @ $i @ A )
= ( (=) @ $i @ B ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( (=) @ $i @ sk1 )
= ( (=) @ $i @ sk2 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
( ( (=) @ $i @ sk2 )
= ( (=) @ $i @ sk1 ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(8,plain,
! [A: $i] :
( ( sk2 = A )
= ( sk1 = A ) ),
inference(func_ext,[status(esa)],[7]) ).
thf(11,plain,
! [A: $i] :
( ( sk2 != A )
| ( sk1 = A ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(13,plain,
! [A: $i] :
( ( sk2 != A )
| ( sk1 = A ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(15,plain,
sk2 = sk1,
inference(simp,[status(thm)],[13]) ).
thf(4,plain,
sk1 != sk2,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
sk2 != sk1,
inference(lifteq,[status(thm)],[4]) ).
thf(17,plain,
$false,
inference(simplifyReflect,[status(thm)],[15,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU925^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n003.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 : Sun May 19 16:22:24 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.97/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.14/0.98 % [INFO] Parsing done (98ms).
% 1.14/0.99 % [INFO] Running in sequential loop mode.
% 1.60/1.22 % [INFO] nitpick registered as external prover.
% 1.60/1.22 % [INFO] Scanning for conjecture ...
% 1.78/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.78/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.78/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.78/1.29 % [INFO] Type checking passed.
% 1.78/1.29 % [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 ...
% 2.46/1.55 % [INFO] Killing All external provers ...
% 2.46/1.55 % Time passed: 1006ms (effective reasoning time: 556ms)
% 2.46/1.55 % 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)>
% 2.46/1.55 % Axioms used in derivation (0):
% 2.46/1.55 % No. of inferences in proof: 12
% 2.46/1.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1006 ms resp. 556 ms w/o parsing
% 2.46/1.57 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.46/1.57 % [INFO] Killing All external provers ...
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