TSTP Solution File: SYN953+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN953+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 : Fri May 19 12:33:05 EDT 2023
% Result : Theorem 2.41s 1.51s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 6 ~; 2 |; 0 &; 19 @)
% ( 0 <=>; 9 =>; 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 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $o ).
thf(q_type,type,
q: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ! [A: $i] :
( ( p @ A )
=> ( q @ A ) )
=> ( ! [A: $i] : ( p @ A )
=> ! [A: $i] : ( q @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( p @ A )
=> ( q @ A ) )
=> ( ! [A: $i] : ( p @ A )
=> ! [A: $i] : ( q @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i] :
( ( p @ A )
=> ( q @ A ) )
=> ( ! [A: $i] : ( p @ A )
=> ! [A: $i] : ( q @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( q @ sk1 ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: $i] :
( ~ ( p @ A )
| ( q @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: $i] : ( p @ A ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: $i] : ( p @ A ),
inference(simp,[status(thm)],[5]) ).
thf(8,plain,
! [A: $i] :
( ~ $true
| ( q @ A ) ),
inference(rewrite,[status(thm)],[6,7]) ).
thf(9,plain,
! [A: $i] : ( q @ A ),
inference(simp,[status(thm)],[8]) ).
thf(10,plain,
~ $true,
inference(rewrite,[status(thm)],[4,9]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN953+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.22/0.37 % Computer : n028.cluster.edu
% 0.22/0.37 % Model : x86_64 x86_64
% 0.22/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.37 % Memory : 8042.1875MB
% 0.22/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.37 % CPULimit : 300
% 0.22/0.37 % WCLimit : 300
% 0.22/0.37 % DateTime : Thu May 18 20:05:34 EDT 2023
% 0.22/0.37 % CPUTime :
% 0.98/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (98ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.61/1.18 % [INFO] eprover registered as external prover.
% 1.61/1.18 % [INFO] cvc4 registered as external prover.
% 1.72/1.18 % [INFO] Scanning for conjecture ...
% 1.72/1.22 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.84/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.84/1.24 % [INFO] Problem is first-order (TPTP FOF).
% 1.89/1.25 % [INFO] Type checking passed.
% 1.89/1.25 % [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 ...
% 2.41/1.50 % [INFO] Killing All external provers ...
% 2.41/1.51 % Time passed: 973ms (effective reasoning time: 537ms)
% 2.41/1.51 % 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)>
% 2.41/1.51 % Axioms used in derivation (0):
% 2.41/1.51 % No. of inferences in proof: 11
% 2.41/1.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 973 ms resp. 537 ms w/o parsing
% 2.41/1.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.41/1.53 % [INFO] Killing All external provers ...
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