TSTP Solution File: SYO300^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO300^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 08:56:22 EDT 2024
% Result : Theorem 3.10s 2.10s
% Output : Refutation 3.23s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > $o ).
thf(1,conjecture,
! [A: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > $o] :
? [B: ( $i > $i ) > $i] :
( ! [C: ( $i > $i ) > $i] : ( A @ C @ C )
=> ( A
@ ^ [C: $i > $i] :
( C
@ ( B
@ ^ [D: $i] : D ) )
@ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUNIFTHM1) ).
thf(2,negated_conjecture,
~ ! [A: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > $o] :
? [B: ( $i > $i ) > $i] :
( ! [C: ( $i > $i ) > $i] : ( A @ C @ C )
=> ( A
@ ^ [C: $i > $i] :
( C
@ ( B
@ ^ [D: $i] : D ) )
@ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > $o] :
? [B: ( $i > $i ) > $i] :
( ! [C: ( $i > $i ) > $i] : ( A @ C @ C )
=> ( A
@ ^ [C: $i > $i] :
( C
@ ( B
@ ^ [D: $i] : D ) )
@ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ! [A: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > $o] :
( ! [B: ( $i > $i ) > $i] : ( A @ B @ B )
=> ? [B: ( $i > $i ) > $i] :
( A
@ ^ [C: $i > $i] :
( C
@ ( B
@ ^ [D: $i] : D ) )
@ B ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(6,plain,
! [A: ( $i > $i ) > $i] : ( sk1 @ A @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(5,plain,
! [A: ( $i > $i ) > $i] :
~ ( sk1
@ ^ [B: $i > $i] :
( B
@ ( A
@ ^ [C: $i] : C ) )
@ A ),
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
! [A: ( $i > $i ) > $i] :
~ ( sk1
@ ^ [B: $i > $i] :
( B
@ ( A
@ ^ [C: $i] : C ) )
@ A ),
inference(simp,[status(thm)],[5]) ).
thf(8,plain,
! [B: ( $i > $i ) > $i,A: ( $i > $i ) > $i] :
( ( sk1 @ A @ A )
!= ( sk1
@ ^ [C: $i > $i] :
( C
@ ( B
@ ^ [D: $i] : D ) )
@ B ) ),
inference(paramod_ordered,[status(thm)],[6,7]) ).
thf(9,plain,
! [A: ( $i > $i ) > $i] :
( ( ^ [B: $i > $i] :
( A
@ ^ [C: $i] : C ) )
!= A ),
inference(pre_uni,[status(thm)],[8:[bind(A,$thf( ^ [D: $i > $i] : ( D @ ( C @ ^ [E: $i] : E ) ) )),bind(B,$thf( ^ [D: $i > $i] : ( D @ ( C @ D ) ) ))]]) ).
thf(10,plain,
! [A: ( $i > $i ) > $i] :
( ( ^ [B: $i > $i] :
( A
@ ^ [C: $i] : C ) )
!= A ),
inference(pre_uni,[status(thm)],[9:[]]) ).
thf(11,plain,
! [A: ( $i > $i ) > $i] :
( ( ^ [B: $i > $i] :
( A
@ ^ [C: $i] : C ) )
!= A ),
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SYO300^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.11 % Command : run_Leo-III %s %d
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 20 09:14:39 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.87/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.14/1.04 % [INFO] Parsing done (148ms).
% 1.14/1.05 % [INFO] Running in sequential loop mode.
% 1.71/1.39 % [INFO] eprover registered as external prover.
% 1.71/1.39 % [INFO] cvc4 registered as external prover.
% 1.71/1.39 % [INFO] Scanning for conjecture ...
% 1.88/1.47 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.88/1.49 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.88/1.49 % [INFO] Problem is higher-order (TPTP THF).
% 1.88/1.50 % [INFO] Type checking passed.
% 1.88/1.50 % [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 ...
% 3.10/2.09 % [INFO] Killing All external provers ...
% 3.10/2.10 % Time passed: 1664ms (effective reasoning time: 1041ms)
% 3.10/2.10 % 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)>
% 3.10/2.10 % Axioms used in derivation (0):
% 3.10/2.10 % No. of inferences in proof: 11
% 3.10/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1664 ms resp. 1041 ms w/o parsing
% 3.23/2.16 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.23/2.16 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------