TSTP Solution File: SEV434^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV434^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 04:10:31 EDT 2024
% Result : Theorem 6.06s 2.27s
% Output : Refutation 6.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 24 unt; 5 typ; 0 def)
% Number of atoms : 96 ( 47 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 130 ( 41 ~; 23 |; 0 &; 66 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 ^ 23 !; 2 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $o > $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i > $o ).
thf(3,axiom,
! [A: $i] :
? [B: $o] :
( ( f @ B )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fsurj) ).
thf(12,plain,
! [A: $i] :
? [B: $o] :
( ( f @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
! [A: $i] :
( ( f @ ( sk4 @ A ) )
= A ),
inference(cnf,[status(esa)],[12]) ).
thf(18,plain,
! [A: $i] :
( ( f @ ( sk4 @ A ) )
= A ),
inference(lifteq,[status(thm)],[13]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ( A = C )
| ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( A = B )
| ( A = C )
| ( B = C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( A = B )
| ( A = C )
| ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
~ ! [A: $i,B: $i] :
( ( A = B )
| ! [C: $i] :
( ( A = C )
| ( B = C ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(7,plain,
sk1 != sk3,
inference(cnf,[status(esa)],[5]) ).
thf(16,plain,
sk3 != sk1,
inference(lifteq,[status(thm)],[7]) ).
thf(21,plain,
! [A: $i] :
( ( ( f @ ( sk4 @ A ) )
!= sk1 )
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[18,16]) ).
thf(22,plain,
( ( f @ ( sk4 @ sk3 ) )
!= sk1 ),
inference(pattern_uni,[status(thm)],[21:[bind(A,$thf( sk3 ))]]) ).
thf(51,plain,
! [A: $i] :
( ( ( f @ ( sk4 @ A ) )
!= ( f @ ( sk4 @ sk3 ) ) )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[18,22]) ).
thf(52,plain,
( ( f @ ( sk4 @ sk1 ) )
!= ( f @ ( sk4 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[51:[bind(A,$thf( sk1 ))]]) ).
thf(124,plain,
( ( sk4 @ sk1 )
!= ( sk4 @ sk3 ) ),
inference(simp,[status(thm)],[52]) ).
thf(142,plain,
( ~ ( sk4 @ sk1 )
| ~ ( sk4 @ sk3 ) ),
inference(bool_ext,[status(thm)],[124]) ).
thf(6,plain,
sk2 != sk3,
inference(cnf,[status(esa)],[5]) ).
thf(15,plain,
sk3 != sk2,
inference(lifteq,[status(thm)],[6]) ).
thf(27,plain,
! [A: $i] :
( ( ( f @ ( sk4 @ A ) )
!= sk2 )
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[18,15]) ).
thf(28,plain,
( ( f @ ( sk4 @ sk3 ) )
!= sk2 ),
inference(pattern_uni,[status(thm)],[27:[bind(A,$thf( sk3 ))]]) ).
thf(73,plain,
! [A: $i] :
( ( ( f @ ( sk4 @ A ) )
!= ( f @ ( sk4 @ sk3 ) ) )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[18,28]) ).
thf(74,plain,
( ( f @ ( sk4 @ sk2 ) )
!= ( f @ ( sk4 @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[73:[bind(A,$thf( sk2 ))]]) ).
thf(704,plain,
( ( sk4 @ sk2 )
!= ( sk4 @ sk3 ) ),
inference(simp,[status(thm)],[74]) ).
thf(143,plain,
( ( sk4 @ sk1 )
| ( sk4 @ sk3 ) ),
inference(bool_ext,[status(thm)],[124]) ).
thf(203,plain,
! [A: $i] :
( ( sk4 @ sk3 )
| ( ( f @ $true )
= A )
| ( ( sk4 @ sk1 )
!= ( sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[143,18]) ).
thf(204,plain,
( ( sk4 @ sk3 )
| ( ( f @ $true )
= sk1 ) ),
inference(pattern_uni,[status(thm)],[203:[bind(A,$thf( sk1 ))]]) ).
thf(8,plain,
sk1 != sk2,
inference(cnf,[status(esa)],[5]) ).
thf(17,plain,
sk2 != sk1,
inference(lifteq,[status(thm)],[8]) ).
thf(37,plain,
! [A: $i] :
( ( ( f @ ( sk4 @ A ) )
!= sk1 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[18,17]) ).
thf(38,plain,
( ( f @ ( sk4 @ sk2 ) )
!= sk1 ),
inference(pattern_uni,[status(thm)],[37:[bind(A,$thf( sk2 ))]]) ).
thf(416,plain,
( ( sk4 @ sk3 )
| ( ( f @ $true )
!= ( f @ ( sk4 @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[204,38]) ).
thf(494,plain,
( ( sk4 @ sk3 )
| ~ ( sk4 @ sk2 ) ),
inference(simp,[status(thm)],[416]) ).
thf(794,plain,
( ~ ( sk4 @ sk2 )
| ( ( sk4 @ sk3 )
!= ( sk4 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[494,704]) ).
thf(795,plain,
~ ( sk4 @ sk2 ),
inference(pattern_uni,[status(thm)],[794:[]]) ).
thf(820,plain,
sk4 @ sk3,
inference(rewrite,[status(thm)],[704,795]) ).
thf(878,plain,
( ~ ( sk4 @ sk1 )
| ~ $true ),
inference(rewrite,[status(thm)],[142,820]) ).
thf(879,plain,
~ ( sk4 @ sk1 ),
inference(simp,[status(thm)],[878]) ).
thf(822,plain,
( ( f @ $false )
!= sk1 ),
inference(rewrite,[status(thm)],[38,795]) ).
thf(867,plain,
! [A: $i] :
( ( A != sk1 )
| ( ( f @ ( sk4 @ A ) )
!= ( f @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[18,822]) ).
thf(877,plain,
sk4 @ sk1,
inference(simp,[status(thm)],[867]) ).
thf(940,plain,
~ $true,
inference(rewrite,[status(thm)],[879,877]) ).
thf(941,plain,
$false,
inference(simp,[status(thm)],[940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV434^1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 18:33:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.95 % [INFO] Parsing done (94ms).
% 1.16/0.96 % [INFO] Running in sequential loop mode.
% 1.64/1.16 % [INFO] eprover registered as external prover.
% 1.64/1.16 % [INFO] cvc4 registered as external prover.
% 1.64/1.17 % [INFO] Scanning for conjecture ...
% 1.64/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.64/1.23 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.86/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.86/1.23 % [INFO] Type checking passed.
% 1.86/1.24 % [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 ...
% 2.37/1.47 % [INFO] GaveUp with current strategy, trying again with another strategy ...
% 6.06/2.26 % [INFO] Killing All external provers ...
% 6.06/2.27 % Time passed: 1743ms (effective reasoning time: 1300ms)
% 6.06/2.27 % Solved by strategy<name(funcspec),share(0.5),primSubst(2),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(true), domConstr(0),specialInstances(-1),restrictUniAttempts(false),termOrdering(none)>
% 6.06/2.27 % Axioms used in derivation (1): fsurj
% 6.06/2.27 % No. of inferences in proof: 42
% 6.06/2.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1743 ms resp. 1300 ms w/o parsing
% 6.06/2.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.06/2.29 % [INFO] Killing All external provers ...
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