TSTP Solution File: SEU793^2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU793^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 03:39:56 EDT 2024
% Result : Theorem 19.47s 4.51s
% Output : Refutation 19.54s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(replAx_type,type,
replAx: $o ).
thf(replAx_def,definition,
( replAx
= ( ! [A: $i > $i > $o,B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ( exu @ ( A @ C ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
= ( ? [E: $i] :
( ( in @ E @ B )
& ( A @ E @ D ) ) ) ) ) ) ) ).
thf(sk1_type,type,
sk1: $i > ( $i > $i > $o ) > $i ).
thf(sk2_type,type,
sk2: $i > $i > ( $i > $i > $o ) > $i ).
thf(sk3_type,type,
sk3: $i > ( $i > $i > $o ) > $i ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i > $i ).
thf(sk6_type,type,
sk6: $i > $i ).
thf(1,conjecture,
( replAx
=> ! [A: $i,B: $i > $i] :
? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
= ( ? [E: $i] :
( ( in @ E @ A )
& ( D
= ( B @ E ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1Ex) ).
thf(2,negated_conjecture,
~ ( replAx
=> ! [A: $i,B: $i > $i] :
? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
= ( ? [E: $i] :
( ( in @ E @ A )
& ( D
= ( B @ E ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i > $i > $o,B: $i] :
( ! [C: $i] :
( ( in @ C @ B )
=> ? [D: $i] :
( ( A @ C @ D )
& ! [E: $i] :
( ( A @ C @ E )
=> ( D = E ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
= ( ? [E: $i] :
( ( in @ E @ B )
& ( A @ E @ D ) ) ) ) )
=> ! [A: $i,B: $i > $i] :
? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
= ( ? [E: $i] :
( ( in @ E @ A )
& ( D
= ( B @ E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ ( sk1 @ B @ A ) @ C )
| ( A @ ( sk1 @ B @ A ) @ ( sk2 @ C @ B @ A ) )
| ( ( in @ D @ ( sk3 @ B @ A ) )
= ( ? [E: $i] :
( ( in @ E @ B )
& ( A @ E @ D ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ( ( in @ D @ ( sk3 @ B @ A ) )
= ( ? [E: $i] :
( ( in @ E @ B )
& ( A @ E @ D ) ) ) )
| ~ ( A @ ( sk1 @ B @ A ) @ C )
| ( A @ ( sk1 @ B @ A ) @ ( sk2 @ C @ B @ A ) ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(4,plain,
! [A: $i] :
( ( in @ ( sk6 @ A ) @ A )
!= ( ? [B: $i] :
( ( in @ B @ sk4 )
& ( ( sk6 @ A )
= ( sk5 @ B ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: $i] :
( ( in @ ( sk6 @ A ) @ A )
!= ( ? [B: $i] :
( ( in @ B @ sk4 )
& ( ( sk6 @ A )
= ( sk5 @ B ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(9,plain,
! [A: $i] :
( ( in @ ( sk6 @ A ) @ A )
!= ( ? [B: $i] :
( ( in @ B @ sk4 )
& ( ( sk6 @ A )
= ( sk5 @ B ) ) ) ) ),
inference(simp,[status(thm)],[8]) ).
thf(1086,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ ( sk1 @ B @ A ) @ C )
| ( A @ ( sk1 @ B @ A ) @ ( sk2 @ C @ B @ A ) )
| ( ( in @ D @ ( sk3 @ B @ A ) )
!= ( in @ ( sk6 @ E ) @ E ) )
| ( ( ? [F: $i] :
( ( in @ F @ B )
& ( A @ F @ D ) ) )
!= ( ? [F: $i] :
( ( in @ F @ sk4 )
& ( ( sk6 @ E )
= ( sk5 @ F ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[13,9]) ).
thf(1186,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( sk5
@ ( sk1 @ sk4
@ ^ [D: $i,E: $i] :
( E
= ( sk5 @ D ) ) ) ) )
| ( ( sk2 @ A @ sk4
@ ^ [D: $i,E: $i] :
( E
= ( sk5 @ D ) ) )
= ( sk5
@ ( sk1 @ sk4
@ ^ [D: $i,E: $i] :
( E
= ( sk5 @ D ) ) ) ) )
| ( ( in @ ( sk6 @ C )
@ ( sk3 @ sk4
@ ^ [D: $i,E: $i] :
( E
= ( sk5 @ D ) ) ) )
!= ( in @ ( sk6 @ B ) @ B ) )
| ( ( ^ [D: $i] : C )
!= ( ^ [D: $i] : B ) ) ),
inference(pre_uni,[status(thm)],[1086:[bind(A,$thf( ^ [F: $i] : ^ [G: $i] : ( G = ( sk5 @ F ) ) )),bind(B,$thf( sk4 )),bind(C,$thf( C )),bind(D,$thf( sk6 @ L )),bind(E,$thf( E ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU793^2 : TPTP v8.2.0. Released v3.7.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 17:50:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.92/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (112ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.65/1.19 % [INFO] eprover registered as external prover.
% 1.65/1.20 % [INFO] cvc4 registered as external prover.
% 1.65/1.20 % [INFO] Scanning for conjecture ...
% 1.83/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.29 % [INFO] Type checking passed.
% 1.83/1.29 % [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 ...
% 19.47/4.51 % [INFO] Killing All external provers ...
% 19.47/4.51 % Time passed: 4000ms (effective reasoning time: 3537ms)
% 19.47/4.51 % 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)>
% 19.47/4.51 % Axioms used in derivation (0):
% 19.47/4.51 % No. of inferences in proof: 22
% 19.47/4.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4000 ms resp. 3537 ms w/o parsing
% 19.54/4.57 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.54/4.57 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------