TSTP Solution File: SEV410^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV410^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n024.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 16:00:11 EDT 2024
% Result : Theorem 5.76s 2.32s
% Output : Refutation 6.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 90 ( 11 ~; 15 |; 3 &; 55 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 10 ^ 7 !; 3 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(cA_type,type,
cA: $i > $o ).
thf(cP_type,type,
cP: ( $i > $o ) > $o ).
thf(cB_type,type,
cB: $i > $o ).
thf(sk1_type,type,
sk1: ( $i > $o ) > $i ).
thf(1,conjecture,
( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ? [A: $i > $o] :
( ( cP @ A )
& ! [B: $i] :
( ( cA @ B )
=> ( A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSV1_pme) ).
thf(2,negated_conjecture,
~ ( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ? [A: $i > $o] :
( ( cP @ A )
& ! [B: $i] :
( ( cA @ B )
=> ( A @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) )
=> ? [A: $i > $o] :
( ( cP @ A )
& ! [B: $i] :
( ( cA @ B )
=> ( A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
( cP
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: $i > $o] :
( ~ ( cP @ A )
| ~ ( A @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [A: $i > $o] :
( ~ ( A @ ( sk1 @ A ) )
| ( ( cP
@ ^ [B: $i] :
( ( cA @ B )
| ( cB @ B ) ) )
!= ( cP @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6,5]) ).
thf(11,plain,
~ ( ( cA
@ ( sk1
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) ) )
| ( cB
@ ( sk1
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) ) ) ),
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( ^ [B: $i] : ( ( cA @ B ) | ( cB @ B ) ) ))]]) ).
thf(30,plain,
~ ( cA
@ ( sk1
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) ) ),
inference(cnf,[status(esa)],[11]) ).
thf(4,plain,
! [A: $i > $o] :
( ~ ( cP @ A )
| ( cA @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: $i > $o] :
( ( cA @ ( sk1 @ A ) )
| ( ( cP
@ ^ [B: $i] :
( ( cA @ B )
| ( cB @ B ) ) )
!= ( cP @ A ) ) ),
inference(paramod_ordered,[status(thm)],[6,4]) ).
thf(8,plain,
( cA
@ ( sk1
@ ^ [A: $i] :
( ( cA @ A )
| ( cB @ A ) ) ) ),
inference(pattern_uni,[status(thm)],[7:[bind(A,$thf( ^ [B: $i] : ( ( cA @ B ) | ( cB @ B ) ) ))]]) ).
thf(272,plain,
~ $true,
inference(rewrite,[status(thm)],[30,8]) ).
thf(273,plain,
$false,
inference(simp,[status(thm)],[272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV410^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:31:25 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.01/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.03 % [INFO] Parsing done (111ms).
% 1.27/1.04 % [INFO] Running in sequential loop mode.
% 1.69/1.25 % [INFO] nitpick registered as external prover.
% 1.69/1.25 % [INFO] Scanning for conjecture ...
% 1.69/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.94/1.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.94/1.32 % [INFO] Problem is higher-order (TPTP THF).
% 1.94/1.33 % [INFO] Type checking passed.
% 1.94/1.33 % [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 ...
% 5.76/2.32 % [INFO] Killing All external provers ...
% 5.76/2.32 % Time passed: 1785ms (effective reasoning time: 1277ms)
% 5.76/2.32 % 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)>
% 5.76/2.32 % Axioms used in derivation (0):
% 5.76/2.32 % No. of inferences in proof: 13
% 5.76/2.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1785 ms resp. 1277 ms w/o parsing
% 6.44/2.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.44/2.35 % [INFO] Killing All external provers ...
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