TSTP Solution File: SYN405+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SYN405+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 7 11:01:51 EDT 2024
% Result : Theorem 2.34s 1.74s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 9 ~; 3 |; 6 &; 20 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 0 ^ 8 !; 6 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $i > $o ).
thf(g_type,type,
g: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ( ! [A: $i] : ( f @ A )
& ? [A: $i] : ( g @ A ) )
=> ? [A: $i] :
( ( f @ A )
& ( g @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish239) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] : ( f @ A )
& ? [A: $i] : ( g @ A ) )
=> ? [A: $i] :
( ( f @ A )
& ( g @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] : ( f @ A )
& ? [A: $i] : ( g @ A ) )
=> ? [A: $i] :
( ( f @ A )
& ( g @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
g @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
! [A: $i] :
( ~ ( f @ A )
| ~ ( g @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: $i] :
( ~ ( f @ A )
| ~ ( g @ A ) ),
inference(simp,[status(thm)],[4]) ).
thf(6,plain,
! [A: $i] : ( f @ A ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: $i] :
( ~ $true
| ~ ( g @ A ) ),
inference(rewrite,[status(thm)],[7,6]) ).
thf(9,plain,
! [A: $i] :
~ ( g @ A ),
inference(simp,[status(thm)],[8]) ).
thf(10,plain,
$false,
inference(rewrite,[status(thm)],[5,9]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SYN405+1 : TPTP v8.1.2. Released v2.0.0.
% 0.05/0.11 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 6 21:16:09 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.81/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.11/0.94 % [INFO] Parsing done (149ms).
% 1.11/0.95 % [INFO] Running in sequential loop mode.
% 1.57/1.28 % [INFO] nitpick registered as external prover.
% 1.57/1.29 % [INFO] Scanning for conjecture ...
% 1.72/1.36 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.81/1.39 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.39 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.40 % [INFO] Type checking passed.
% 1.81/1.40 % [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 ...
% 2.34/1.74 % [INFO] Killing All external provers ...
% 2.34/1.74 % Time passed: 1323ms (effective reasoning time: 785ms)
% 2.34/1.74 % 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)>
% 2.34/1.74 % Axioms used in derivation (0):
% 2.34/1.74 % No. of inferences in proof: 11
% 2.34/1.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1323 ms resp. 785 ms w/o parsing
% 2.34/1.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.34/1.76 % [INFO] Killing All external provers ...
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