TSTP Solution File: SYO083^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO083^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 08:59:15 EDT 2024
% Result : Theorem 3.44s 2.39s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 23 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 6 ~; 5 |; 0 &; 40 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 ^ 17 !; 3 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(cP_type,type,
cP: $i > $i > $o ).
thf(cB_type,type,
cB: $i ).
thf(cA_type,type,
cA: $i ).
thf(1,conjecture,
( ( ! [A: $i] : ( cP @ cA @ A )
| ! [A: $i] : ( cP @ A @ cB ) )
=> ? [A: $i] : ( cP @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM62) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] : ( cP @ cA @ A )
| ! [A: $i] : ( cP @ A @ cB ) )
=> ? [A: $i] : ( cP @ A @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] : ( cP @ cA @ A )
| ! [A: $i] : ( cP @ A @ cB ) )
=> ? [A: $i] : ( cP @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [B: $i,A: $i] :
( ( cP @ cA @ A )
| ( cP @ B @ cB ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
! [A: $i] :
~ ( cP @ A @ A ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: $i] :
~ ( cP @ A @ A ),
inference(simp,[status(thm)],[4]) ).
thf(7,plain,
! [C: $i,B: $i,A: $i] :
( ( cP @ B @ cB )
| ( ( cP @ cA @ A )
!= ( cP @ C @ C ) ) ),
inference(paramod_ordered,[status(thm)],[5,6]) ).
thf(8,plain,
! [A: $i] : ( cP @ A @ cB ),
inference(pattern_uni,[status(thm)],[7:[bind(A,$thf( cA )),bind(B,$thf( B )),bind(C,$thf( cA ))]]) ).
thf(12,plain,
! [A: $i] : ( cP @ A @ cB ),
inference(simp,[status(thm)],[8]) ).
thf(17,plain,
! [B: $i,A: $i] :
( ( cP @ A @ cB )
!= ( cP @ B @ B ) ),
inference(paramod_ordered,[status(thm)],[12,6]) ).
thf(18,plain,
$false,
inference(pattern_uni,[status(thm)],[17:[bind(A,$thf( cB )),bind(B,$thf( cB ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO083^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14 % Command : run_Leo-III %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 11:00:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.07/1.05 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.52/1.23 % [INFO] Parsing done (176ms).
% 1.52/1.25 % [INFO] Running in sequential loop mode.
% 2.15/1.69 % [INFO] nitpick registered as external prover.
% 2.15/1.70 % [INFO] Scanning for conjecture ...
% 2.31/1.79 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.40/1.83 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.40/1.83 % [INFO] Problem is higher-order (TPTP THF).
% 2.40/1.84 % [INFO] Type checking passed.
% 2.40/1.84 % [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 ...
% 3.44/2.34 % [INFO] Killing All external provers ...
% 3.44/2.39 % Time passed: 1880ms (effective reasoning time: 1132ms)
% 3.44/2.39 % 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)>
% 3.44/2.39 % Axioms used in derivation (0):
% 3.44/2.39 % No. of inferences in proof: 11
% 3.44/2.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1880 ms resp. 1132 ms w/o parsing
% 3.44/2.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.44/2.44 % [INFO] Killing All external provers ...
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