TSTP Solution File: SET066^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SET066^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 03:01:19 EDT 2024
% Result : Theorem 3.61s 1.72s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 10 unt; 4 typ; 1 def)
% Number of atoms : 59 ( 53 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 51 ( 17 ~; 26 |; 0 &; 8 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-3 aty)
% Number of variables : 15 ( 9 ^ 6 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(unord_pair_type,type,
unord_pair: $i > $i > $i > $o ).
thf(unord_pair_def,definition,
( unord_pair
= ( ^ [A: $i,B: $i,C: $i] :
( ( C = A )
| ( C = B ) ) ) ) ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( unord_pair @ A @ B )
= ( unord_pair @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( unord_pair @ A @ B )
= ( unord_pair @ B @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i] :
( ( ^ [C: $i] :
( ( C = A )
| ( C = B ) ) )
= ( ^ [C: $i] :
( ( C = B )
| ( C = A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: $i] :
( ( A = sk1 )
| ( A = sk2 ) ) )
!= ( ^ [A: $i] :
( ( A = sk2 )
| ( A = sk1 ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: $i] :
( ( A = sk1 )
| ( A = sk2 ) ) )
!= ( ^ [A: $i] :
( ( A = sk2 )
| ( A = sk1 ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ( sk3 = sk1 )
| ( sk3 = sk2 ) )
!= ( ( sk3 = sk2 )
| ( sk3 = sk1 ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(28,plain,
( ( sk3 = sk1 )
| ( sk3 = sk2 )
| ( sk3 = sk2 )
| ( sk3 = sk1 ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(38,plain,
( ( sk3 = sk2 )
| ( sk3 = sk1 )
| ( sk3 = sk1 )
| ( sk3 = sk2 ) ),
inference(cnf,[status(esa)],[28]) ).
thf(39,plain,
( ( sk3 = sk2 )
| ( sk3 = sk1 )
| ( sk3 = sk1 )
| ( sk3 = sk2 ) ),
inference(lifteq,[status(thm)],[38]) ).
thf(40,plain,
( ( sk3 = sk2 )
| ( sk3 = sk1 ) ),
inference(simp,[status(thm)],[39]) ).
thf(27,plain,
( ~ ( ( sk3 = sk1 )
| ( sk3 = sk2 ) )
| ~ ( ( sk3 = sk2 )
| ( sk3 = sk1 ) ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(30,plain,
( ( sk3 != sk1 )
| ( sk3 != sk1 ) ),
inference(cnf,[status(esa)],[27]) ).
thf(33,plain,
( ( sk3 != sk1 )
| ( sk3 != sk1 ) ),
inference(lifteq,[status(thm)],[30]) ).
thf(34,plain,
sk3 != sk1,
inference(simp,[status(thm)],[33]) ).
thf(32,plain,
( ( sk3 != sk2 )
| ( sk3 != sk2 ) ),
inference(cnf,[status(esa)],[27]) ).
thf(36,plain,
( ( sk3 != sk2 )
| ( sk3 != sk2 ) ),
inference(lifteq,[status(thm)],[32]) ).
thf(37,plain,
sk3 != sk2,
inference(simp,[status(thm)],[36]) ).
thf(47,plain,
$false,
inference(simplifyReflect,[status(thm)],[40,34,37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET066^1 : TPTP v8.2.0. Released v3.6.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n013.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 : Mon May 20 11:28:39 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.94/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/0.96 % [INFO] Parsing done (108ms).
% 1.28/0.97 % [INFO] Running in sequential loop mode.
% 1.70/1.17 % [INFO] eprover registered as external prover.
% 1.70/1.17 % [INFO] cvc4 registered as external prover.
% 1.70/1.17 % [INFO] Scanning for conjecture ...
% 1.82/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.93/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.93/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.93/1.26 % [INFO] Type checking passed.
% 1.93/1.26 % [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 ...
% 3.61/1.71 % [INFO] Killing All external provers ...
% 3.61/1.72 % Time passed: 1186ms (effective reasoning time: 737ms)
% 3.61/1.72 % 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)>
% 3.61/1.72 % Axioms used in derivation (0):
% 3.61/1.72 % No. of inferences in proof: 18
% 3.61/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1186 ms resp. 737 ms w/o parsing
% 3.61/1.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.61/1.73 % [INFO] Killing All external provers ...
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