TSTP Solution File: SWC287-1 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC287-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 04:34:46 EDT 2024
% Result : Unsatisfiable 66.64s 11.21s
% Output : Refutation 66.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 57 ( 23 unt; 10 typ; 0 def)
% Number of atoms : 79 ( 35 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 124 ( 23 ~; 24 |; 0 &; 77 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $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(memberP_type,type,
memberP: $i > $i > $o ).
thf(7,negated_conjecture,
~ ( strictorderedP @ sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(210,plain,
~ ( strictorderedP @ sk1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(230,plain,
~ ( strictorderedP @ sk1 ),
inference(polarity_switch,[status(thm)],[210]) ).
thf(9,negated_conjecture,
( ( ssItem @ sk5 )
| ( nil = sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(206,plain,
( ( ssItem @ sk5 )
| ( nil = sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(218,plain,
( ( ssItem @ sk5 )
| ( nil = sk3 ) ),
inference(cnf,[status(esa)],[206]) ).
thf(219,plain,
( ( nil = sk3 )
| ( ssItem @ sk5 ) ),
inference(lifteq,[status(thm)],[218]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(205,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(223,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[205]) ).
thf(659,plain,
( ( nil = sk1 )
| ( ssItem @ sk5 ) ),
inference(rewrite,[status(thm)],[219,223]) ).
thf(191,axiom,
strictorderedP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(635,plain,
strictorderedP @ nil,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(747,plain,
( ( strictorderedP @ nil )
!= ( strictorderedP @ sk1 ) ),
inference(paramod_ordered,[status(thm)],[635,230]) ).
thf(748,plain,
nil != sk1,
inference(simp,[status(thm)],[747]) ).
thf(749,plain,
ssItem @ sk5,
inference(simplifyReflect,[status(thm)],[659,748]) ).
thf(61,axiom,
! [A: $i] :
( ~ ( ssItem @ A )
| ( strictorderedP @ ( cons @ A @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
thf(341,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ( strictorderedP @ ( cons @ A @ nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(342,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ( strictorderedP @ ( cons @ A @ nil ) ) ),
inference(cnf,[status(esa)],[341]) ).
thf(18667,plain,
! [A: $i] :
( ( strictorderedP @ ( cons @ A @ nil ) )
| ( ( ssItem @ sk5 )
!= ( ssItem @ A ) ) ),
inference(paramod_ordered,[status(thm)],[749,342]) ).
thf(18668,plain,
strictorderedP @ ( cons @ sk5 @ nil ),
inference(pattern_uni,[status(thm)],[18667:[bind(A,$thf( sk5 ))]]) ).
thf(10,negated_conjecture,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
thf(202,plain,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(216,plain,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk4 ) ),
inference(cnf,[status(esa)],[202]) ).
thf(217,plain,
( ( ( cons @ sk5 @ nil )
= sk3 )
| ( nil = sk4 ) ),
inference(lifteq,[status(thm)],[216]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(201,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(220,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[201]) ).
thf(660,plain,
( ( ( cons @ sk5 @ nil )
= sk1 )
| ( nil = sk2 ) ),
inference(rewrite,[status(thm)],[217,220,223]) ).
thf(14,negated_conjecture,
( ( memberP @ sk4 @ sk5 )
| ( nil = sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
thf(203,plain,
( ( memberP @ sk4 @ sk5 )
| ( nil = sk3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(228,plain,
( ( memberP @ sk4 @ sk5 )
| ( nil = sk3 ) ),
inference(cnf,[status(esa)],[203]) ).
thf(229,plain,
( ( nil = sk3 )
| ( memberP @ sk4 @ sk5 ) ),
inference(lifteq,[status(thm)],[228]) ).
thf(932,plain,
( ( nil = sk1 )
| ( memberP @ sk2 @ sk5 ) ),
inference(rewrite,[status(thm)],[229,220,223]) ).
thf(933,plain,
memberP @ sk2 @ sk5,
inference(simplifyReflect,[status(thm)],[932,748]) ).
thf(110,axiom,
! [A: $i] :
( ~ ( memberP @ nil @ A )
| ~ ( ssItem @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
thf(451,plain,
! [A: $i] :
( ~ ( memberP @ nil @ A )
| ~ ( ssItem @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(452,plain,
! [A: $i] :
( ~ ( memberP @ nil @ A )
| ~ ( ssItem @ A ) ),
inference(cnf,[status(esa)],[451]) ).
thf(764,plain,
! [A: $i] :
( ~ ( memberP @ nil @ A )
| ( ( ssItem @ sk5 )
!= ( ssItem @ A ) ) ),
inference(paramod_ordered,[status(thm)],[749,452]) ).
thf(765,plain,
~ ( memberP @ nil @ sk5 ),
inference(pattern_uni,[status(thm)],[764:[bind(A,$thf( sk5 ))]]) ).
thf(937,plain,
( ( memberP @ nil @ sk5 )
!= ( memberP @ sk2 @ sk5 ) ),
inference(paramod_ordered,[status(thm)],[933,765]) ).
thf(946,plain,
( ( nil != sk2 )
| ( sk5 != sk5 ) ),
inference(simp,[status(thm)],[937]) ).
thf(950,plain,
nil != sk2,
inference(simp,[status(thm)],[946]) ).
thf(952,plain,
( ( cons @ sk5 @ nil )
= sk1 ),
inference(simplifyReflect,[status(thm)],[660,950]) ).
thf(18797,plain,
strictorderedP @ sk1,
inference(rewrite,[status(thm)],[18668,952]) ).
thf(18798,plain,
~ $true,
inference(rewrite,[status(thm)],[230,18797]) ).
thf(18799,plain,
$false,
inference(simp,[status(thm)],[18798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC287-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n002.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 03:17:39 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.48/1.04 % [INFO] Parsing done (151ms).
% 1.48/1.05 % [INFO] Running in sequential loop mode.
% 1.96/1.24 % [INFO] nitpick registered as external prover.
% 1.96/1.25 % [INFO] Scanning for conjecture ...
% 2.18/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.37/1.41 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.81/1.49 % [INFO] Problem is propositional (TPTP CNF).
% 2.81/1.50 % [INFO] Type checking passed.
% 2.81/1.50 % [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 ...
% 66.64/11.21 % [INFO] Killing All external provers ...
% 66.64/11.21 % Time passed: 10657ms (effective reasoning time: 10156ms)
% 66.64/11.21 % Axioms used in derivation (3): clause3, clause66, clause71
% 66.64/11.21 % No. of inferences in proof: 47
% 66.64/11.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 10657 ms resp. 10156 ms w/o parsing
% 66.64/11.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 66.64/11.23 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------