TSTP Solution File: SEV427^1 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV427^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n032.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 : Mon Jun 24 16:00:14 EDT 2024
% Result : Theorem 1.96s 1.37s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 10 ~; 11 |; 0 &; 35 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 ^ 10 !; 2 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(eps_type,type,
eps: ( $i > $o ) > $i ).
thf(p_type,type,
p: $i > $o ).
thf(q_type,type,
q: $i > $o ).
thf(4,axiom,
! [A: $i] :
( ( p @ A )
| ( q @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pq) ).
thf(10,plain,
! [A: $i] :
( ( p @ A )
| ( q @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,plain,
! [A: $i] :
( ( p @ A )
| ( q @ A ) ),
inference(cnf,[status(esa)],[10]) ).
thf(13,axiom,
? [A: ( $i > $o ) > $i] :
! [B: $i > $o] :
( ? [C: $i] : ( B @ C )
=> ( B @ ( A @ B ) ) ),
introduced(axiom_of_choice) ).
thf(14,plain,
! [A: $i] :
( ~ ( q @ A )
| ( q @ ( eps @ q ) ) ),
inference(choice,[status(esa)],[13]) ).
thf(1,conjecture,
( ( p @ ( eps @ p ) )
| ( q @ ( eps @ q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( ( p @ ( eps @ p ) )
| ( q @ ( eps @ q ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( ( p @ ( eps @ p ) )
| ( q @ ( eps @ q ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
~ ( q @ ( eps @ q ) ),
inference(cnf,[status(esa)],[5]) ).
thf(16,plain,
! [A: $i] :
( ~ ( q @ A )
| $false ),
inference(rewrite,[status(thm)],[14,6]) ).
thf(17,plain,
! [A: $i] :
~ ( q @ A ),
inference(simp,[status(thm)],[16]) ).
thf(15,plain,
! [A: $i] :
( ~ ( p @ A )
| ( p @ ( eps @ p ) ) ),
inference(choice,[status(esa)],[13]) ).
thf(7,plain,
~ ( p @ ( eps @ p ) ),
inference(cnf,[status(esa)],[5]) ).
thf(19,plain,
! [A: $i] :
( ~ ( p @ A )
| $false ),
inference(rewrite,[status(thm)],[15,7]) ).
thf(20,plain,
! [A: $i] :
~ ( p @ A ),
inference(simp,[status(thm)],[19]) ).
thf(22,plain,
( $false
| $false ),
inference(rewrite,[status(thm)],[11,17,20]) ).
thf(23,plain,
$false,
inference(simp,[status(thm)],[22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEV427^1 : TPTP v8.2.0. Released v5.2.0.
% 0.02/0.08 % Command : run_Leo-III %s %d SAT
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri Jun 21 19:23:40 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.74/0.73 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.99/0.84 % [INFO] Parsing done (108ms).
% 0.99/0.85 % [INFO] Running in sequential loop mode.
% 1.26/1.06 % [INFO] nitpick registered as external prover.
% 1.26/1.06 % [INFO] Scanning for conjecture ...
% 1.41/1.10 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.41/1.12 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.41/1.13 % [INFO] Problem is higher-order (TPTP THF).
% 1.41/1.13 % [INFO] Type checking passed.
% 1.41/1.13 % [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 ...
% 1.96/1.37 % [INFO] Killing All external provers ...
% 1.96/1.37 % Time passed: 961ms (effective reasoning time: 516ms)
% 1.96/1.37 % 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)>
% 1.96/1.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 961 ms resp. 516 ms w/o parsing
% 1.96/1.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.96/1.39 % [INFO] Killing All external provers ...
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