TSTP Solution File: SEV391^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV391^5 : TPTP v8.2.0. Released v4.0.0.
% 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 16:00:08 EDT 2024
% Result : Theorem 2.11s 1.40s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 97 ( 5 ~; 6 |; 0 &; 82 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 20 ( 0 ^ 12 !; 8 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(cP_type,type,
cP: $i > $i > $i > $o ).
thf(k_type,type,
k: $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(a_type,type,
a: $i ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(1,conjecture,
? [A: $i] :
! [B: $i] :
? [C: $i] :
( ( ( cP @ a @ ( h @ B ) @ B )
| ( cP @ A @ ( k @ B ) @ B ) )
=> ( cP @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM87_pme) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i] :
? [C: $i] :
( ( ( cP @ a @ ( h @ B ) @ B )
| ( cP @ A @ ( k @ B ) @ B ) )
=> ( cP @ A @ C @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i] :
! [B: $i] :
? [C: $i] :
( ( ( cP @ a @ ( h @ B ) @ B )
| ( cP @ A @ ( k @ B ) @ B ) )
=> ( cP @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ? [A: $i] :
! [B: $i] :
( ( ( cP @ a @ ( h @ B ) @ B )
| ( cP @ A @ ( k @ B ) @ B ) )
=> ? [C: $i] : ( cP @ A @ C @ B ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(6,plain,
! [A: $i] :
( ( cP @ a @ ( h @ ( sk1 @ A ) ) @ ( sk1 @ A ) )
| ( cP @ A @ ( k @ ( sk1 @ A ) ) @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(5,plain,
! [B: $i,A: $i] :
~ ( cP @ A @ B @ ( sk1 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
! [A: $i] :
( ( cP @ a @ ( h @ ( sk1 @ A ) ) @ ( sk1 @ A ) )
| $false ),
inference(rewrite,[status(thm)],[6,5]) ).
thf(8,plain,
! [A: $i] : ( cP @ a @ ( h @ ( sk1 @ A ) ) @ ( sk1 @ A ) ),
inference(simp,[status(thm)],[7]) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ( cP @ a @ ( h @ ( sk1 @ A ) ) @ ( sk1 @ A ) )
!= ( cP @ B @ C @ ( sk1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[8,5]) ).
thf(10,plain,
$false,
inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( a )),bind(B,$thf( a )),bind(C,$thf( h @ ( sk1 @ a ) ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : SEV391^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.08 % 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 19:22:25 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.80/0.76 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.04/0.85 % [INFO] Parsing done (95ms).
% 1.04/0.86 % [INFO] Running in sequential loop mode.
% 1.40/1.06 % [INFO] nitpick registered as external prover.
% 1.40/1.07 % [INFO] Scanning for conjecture ...
% 1.50/1.12 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.61/1.14 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.61/1.14 % [INFO] Problem is higher-order (TPTP THF).
% 1.61/1.14 % [INFO] Type checking passed.
% 1.61/1.14 % [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 ...
% 2.11/1.40 % [INFO] Killing All external provers ...
% 2.11/1.40 % Time passed: 971ms (effective reasoning time: 533ms)
% 2.11/1.40 % 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)>
% 2.11/1.40 % Axioms used in derivation (0):
% 2.11/1.40 % No. of inferences in proof: 10
% 2.11/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 971 ms resp. 533 ms w/o parsing
% 2.34/1.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.34/1.46 % [INFO] Killing All external provers ...
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