TSTP Solution File: SWC288-1 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC288-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 04:34:47 EDT 2024
% Result : Unsatisfiable 73.00s 12.25s
% Output : Refutation 73.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 48 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 70 ( 10 ~; 14 |; 0 &; 46 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 ^ 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(strictorderedP_type,type,
strictorderedP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk5_type,type,
sk5: $i ).
thf(nil_type,type,
nil: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(7,negated_conjecture,
~ ( strictorderedP @ sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
thf(219,plain,
~ ( strictorderedP @ sk1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(245,plain,
~ ( strictorderedP @ sk1 ),
inference(polarity_switch,[status(thm)],[219]) ).
thf(9,negated_conjecture,
( ( ssItem @ sk5 )
| ( nil = sk3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
thf(214,plain,
( ( ssItem @ sk5 )
| ( nil = sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(251,plain,
( ( ssItem @ sk5 )
| ( nil = sk3 ) ),
inference(cnf,[status(esa)],[214]) ).
thf(252,plain,
( ( nil = sk3 )
| ( ssItem @ sk5 ) ),
inference(lifteq,[status(thm)],[251]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
thf(212,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(244,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[212]) ).
thf(901,plain,
( ( nil = sk1 )
| ( ssItem @ sk5 ) ),
inference(rewrite,[status(thm)],[252,244]) ).
thf(197,axiom,
strictorderedP @ nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(659,plain,
strictorderedP @ nil,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(802,plain,
( ( strictorderedP @ nil )
!= ( strictorderedP @ sk1 ) ),
inference(paramod_ordered,[status(thm)],[659,245]) ).
thf(805,plain,
nil != sk1,
inference(simp,[status(thm)],[802]) ).
thf(902,plain,
ssItem @ sk5,
inference(simplifyReflect,[status(thm)],[901,805]) ).
thf(67,axiom,
! [A: $i] :
( ~ ( ssItem @ A )
| ( strictorderedP @ ( cons @ A @ nil ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
thf(365,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ( strictorderedP @ ( cons @ A @ nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(366,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ( strictorderedP @ ( cons @ A @ nil ) ) ),
inference(cnf,[status(esa)],[365]) ).
thf(21675,plain,
! [A: $i] :
( ( strictorderedP @ ( cons @ A @ nil ) )
| ( ( ssItem @ sk5 )
!= ( ssItem @ A ) ) ),
inference(paramod_ordered,[status(thm)],[902,366]) ).
thf(21676,plain,
strictorderedP @ ( cons @ sk5 @ nil ),
inference(pattern_uni,[status(thm)],[21675:[bind(A,$thf( sk5 ))]]) ).
thf(18,negated_conjecture,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
thf(221,plain,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(230,plain,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk3 ) ),
inference(cnf,[status(esa)],[221]) ).
thf(231,plain,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk3 ) ),
inference(lifteq,[status(thm)],[230]) ).
thf(684,plain,
( ( ( cons @ sk5 @ nil )
= sk1 )
| ( nil = sk1 ) ),
inference(rewrite,[status(thm)],[231,244]) ).
thf(808,plain,
( ( cons @ sk5 @ nil )
= sk1 ),
inference(simplifyReflect,[status(thm)],[684,805]) ).
thf(21783,plain,
strictorderedP @ sk1,
inference(rewrite,[status(thm)],[21676,808]) ).
thf(21784,plain,
~ $true,
inference(rewrite,[status(thm)],[245,21783]) ).
thf(21785,plain,
$false,
inference(simp,[status(thm)],[21784]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC288-1 : TPTP v8.2.0. Released v2.4.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 03:23:39 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/1.03 % [INFO] Parsing done (152ms).
% 1.53/1.04 % [INFO] Running in sequential loop mode.
% 1.96/1.24 % [INFO] nitpick registered as external prover.
% 1.96/1.24 % [INFO] Scanning for conjecture ...
% 2.18/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.30/1.41 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.75/1.50 % [INFO] Problem is propositional (TPTP CNF).
% 2.75/1.51 % [INFO] Type checking passed.
% 2.75/1.52 % [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 ...
% 73.00/12.24 % [INFO] Killing All external provers ...
% 73.00/12.24 % Time passed: 11703ms (effective reasoning time: 11198ms)
% 73.00/12.24 % Axioms used in derivation (2): clause3, clause66
% 73.00/12.24 % No. of inferences in proof: 30
% 73.00/12.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 11703 ms resp. 11198 ms w/o parsing
% 73.00/12.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 73.00/12.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------