TSTP Solution File: SEV165^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV165^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% 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 15:58:24 EDT 2024
% Result : Theorem 6.19s 2.99s
% Output : Refutation 6.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 60 ( 4 ~; 0 |; 5 &; 51 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 5 ^ 14 !; 3 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i > $o ).
thf(sk2_type,type,
sk2: ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i > $o ).
thf(sk3_type,type,
sk3: ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i ).
thf(sk4_type,type,
sk4: ( ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o ) > $i ).
thf(1,conjecture,
? [A: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
! [B: $i > $o,C: $i > $o,D: $i,E: $i] :
( ( A @ B @ C
@ ^ [F: $i > $i > $i] : ( F @ D @ E ) )
= ( ( B @ D )
& ( C @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXISTS_CART_SET_PROD_pme) ).
thf(2,negated_conjecture,
~ ? [A: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
! [B: $i > $o,C: $i > $o,D: $i,E: $i] :
( ( A @ B @ C
@ ^ [F: $i > $i > $i] : ( F @ D @ E ) )
= ( ( B @ D )
& ( C @ E ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
! [B: $i > $o,C: $i > $o,D: $i,E: $i] :
( ( A @ B @ C
@ ^ [F: $i > $i > $i] : ( F @ D @ E ) )
= ( ( B @ D )
& ( C @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
( ( A @ ( sk1 @ A ) @ ( sk2 @ A )
@ ^ [B: $i > $i > $i] : ( B @ ( sk3 @ A ) @ ( sk4 @ A ) ) )
!= ( ( sk1 @ A @ ( sk3 @ A ) )
& ( sk2 @ A @ ( sk4 @ A ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: ( $i > $o ) > ( $i > $o ) > ( ( $i > $i > $i ) > $i ) > $o] :
( ( A @ ( sk1 @ A ) @ ( sk2 @ A )
@ ^ [B: $i > $i > $i] : ( B @ ( sk3 @ A ) @ ( sk4 @ A ) ) )
!= ( ( sk1 @ A @ ( sk3 @ A ) )
& ( sk2 @ A @ ( sk4 @ A ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
$false,
inference(pre_uni,[status(thm)],[5:[bind(A,$thf( ^ [B: $i > $o] : ^ [C: $i > $o] : ^ [D: ( $i > $i > $i ) > $i] : ( ( B @ ( D @ ^ [E: $i] : ^ [F: $i] : E ) ) & ( C @ ( D @ ^ [E: $i] : ^ [F: $i] : F ) ) ) ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SEV165^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.10 % Command : run_Leo-III %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 21 19:17:10 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.70/0.75 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.98/0.85 % [INFO] Parsing done (104ms).
% 0.98/0.86 % [INFO] Running in sequential loop mode.
% 1.40/1.08 % [INFO] eprover registered as external prover.
% 1.40/1.08 % [INFO] Scanning for conjecture ...
% 1.52/1.14 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.55/1.16 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.55/1.16 % [INFO] Problem is higher-order (TPTP THF).
% 1.55/1.16 % [INFO] Type checking passed.
% 1.55/1.17 % [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 ...
% 6.19/2.99 % [INFO] Killing All external provers ...
% 6.19/2.99 % Time passed: 2563ms (effective reasoning time: 2121ms)
% 6.19/2.99 % 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)>
% 6.19/2.99 % Axioms used in derivation (0):
% 6.19/2.99 % No. of inferences in proof: 6
% 6.19/2.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2563 ms resp. 2121 ms w/o parsing
% 6.37/3.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.37/3.02 % [INFO] Killing All external provers ...
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