TSTP Solution File: SEU515^2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEU515^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 03:42:25 EDT 2024
% Result : Theorem 2.75s 1.75s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 9 unt; 7 typ; 1 def)
% Number of atoms : 53 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 10 ~; 13 |; 0 &; 58 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(setadjoinAx_type,type,
setadjoinAx: $o ).
thf(setadjoinAx_def,definition,
( setadjoinAx
= ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( setadjoin @ A @ B ) )
= ( ( C = A )
| ( in @ C @ B ) ) ) ) ) ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $o ).
thf(1,conjecture,
( setadjoinAx
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( setadjoin @ A @ B ) )
=> ! [D: $o] :
( ( ( C = A )
=> D )
=> ( ( ( in @ C @ B )
=> D )
=> D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinE) ).
thf(2,negated_conjecture,
~ ( setadjoinAx
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( setadjoin @ A @ B ) )
=> ! [D: $o] :
( ( ( C = A )
=> D )
=> ( ( ( in @ C @ B )
=> D )
=> D ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( setadjoin @ A @ B ) )
= ( ( C = A )
| ( in @ C @ B ) ) )
=> ! [A: $i,B: $i,C: $i] :
( ( in @ C @ ( setadjoin @ A @ B ) )
=> ! [D: $o] :
( ( ( C = A )
=> D )
=> ( ( ( in @ C @ B )
=> D )
=> D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
in @ sk3 @ ( setadjoin @ sk1 @ sk2 ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
! [C: $i,B: $i,A: $i] :
( ( in @ C @ ( setadjoin @ A @ B ) )
= ( ( C = A )
| ( in @ C @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ( in @ C @ ( setadjoin @ A @ B ) )
= ( ( C = A )
| ( in @ C @ B ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(11,plain,
( ( sk3 = sk1 )
| ( in @ sk3 @ sk2 ) ),
inference(rewrite,[status(thm)],[7,10]) ).
thf(14,plain,
( ( sk3 = sk1 )
| ( in @ sk3 @ sk2 ) ),
inference(cnf,[status(esa)],[11]) ).
thf(15,plain,
( ( sk3 = sk1 )
| ( in @ sk3 @ sk2 ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(5,plain,
( ~ ( in @ sk3 @ sk2 )
| sk4 ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
~ sk4,
inference(cnf,[status(esa)],[3]) ).
thf(26,plain,
( ~ ( in @ sk3 @ sk2 )
| $false ),
inference(rewrite,[status(thm)],[5,8]) ).
thf(27,plain,
~ ( in @ sk3 @ sk2 ),
inference(simp,[status(thm)],[26]) ).
thf(35,plain,
( ( sk3 = sk1 )
| $false ),
inference(rewrite,[status(thm)],[15,27]) ).
thf(36,plain,
sk3 = sk1,
inference(simp,[status(thm)],[35]) ).
thf(6,plain,
( ( sk3 != sk1 )
| sk4 ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
( ( sk3 != sk1 )
| sk4 ),
inference(lifteq,[status(thm)],[6]) ).
thf(24,plain,
( ( sk3 != sk1 )
| $false ),
inference(rewrite,[status(thm)],[9,8]) ).
thf(25,plain,
sk3 != sk1,
inference(simp,[status(thm)],[24]) ).
thf(37,plain,
$false,
inference(simplifyReflect,[status(thm)],[36,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU515^2 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 17:15:39 EDT 2024
% 0.14/0.36 % CPUTime :
% 1.00/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.02 % [INFO] Parsing done (141ms).
% 1.28/1.03 % [INFO] Running in sequential loop mode.
% 1.74/1.32 % [INFO] nitpick registered as external prover.
% 1.74/1.32 % [INFO] Scanning for conjecture ...
% 1.88/1.39 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.88/1.41 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.88/1.41 % [INFO] Problem is higher-order (TPTP THF).
% 1.88/1.42 % [INFO] Type checking passed.
% 1.88/1.42 % [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 ...
% 2.75/1.71 % [INFO] Killing All external provers ...
% 2.75/1.75 % Time passed: 1224ms (effective reasoning time: 707ms)
% 2.75/1.75 % 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)>
% 2.75/1.75 % Axioms used in derivation (0):
% 2.75/1.75 % No. of inferences in proof: 20
% 2.75/1.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1224 ms resp. 707 ms w/o parsing
% 2.75/1.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.00/1.77 % [INFO] Killing All external provers ...
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