TSTP Solution File: SWC047-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC047-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 04:33:50 EDT 2024
% Result : Unsatisfiable 257.41s 36.73s
% Output : Refutation 257.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 62 ( 18 unt; 8 typ; 0 def)
% Number of atoms : 138 ( 46 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 319 ( 88 ~; 78 |; 0 &; 153 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssList_type,type,
ssList: $i > $o ).
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(nil_type,type,
nil: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(107,axiom,
! [A: $i] :
( ~ ( ssList @ A )
| ( rearsegP @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
thf(429,plain,
! [A: $i] :
( ~ ( ssList @ A )
| ( rearsegP @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(430,plain,
! [A: $i] :
( ~ ( ssList @ A )
| ( rearsegP @ A @ A ) ),
inference(cnf,[status(esa)],[429]) ).
thf(8,negated_conjecture,
( ( nil = sk2 )
| ( neq @ sk2 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
thf(206,plain,
( ( nil = sk2 )
| ( neq @ sk2 @ nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(208,plain,
( ( nil = sk2 )
| ( neq @ sk2 @ nil ) ),
inference(cnf,[status(esa)],[206]) ).
thf(209,plain,
( ( nil = sk2 )
| ( neq @ sk2 @ nil ) ),
inference(lifteq,[status(thm)],[208]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(200,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(218,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[200]) ).
thf(7,negated_conjecture,
sk4 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(203,plain,
sk4 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(217,plain,
sk4 = sk3,
inference(lifteq,[status(thm)],[203]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(197,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(212,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[197]) ).
thf(642,plain,
sk3 = sk2,
inference(rewrite,[status(thm)],[217,212]) ).
thf(644,plain,
sk2 = sk1,
inference(rewrite,[status(thm)],[218,642]) ).
thf(648,plain,
( ( nil = sk1 )
| ( neq @ sk1 @ nil ) ),
inference(rewrite,[status(thm)],[209,644]) ).
thf(9,negated_conjecture,
! [A: $i] :
( ( nil = sk2 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(201,plain,
! [A: $i] :
( ( nil = sk2 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(210,plain,
! [A: $i] :
( ( nil = sk2 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(cnf,[status(esa)],[201]) ).
thf(211,plain,
! [A: $i] :
( ( nil = sk2 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(lifteq,[status(thm)],[210]) ).
thf(667,plain,
! [A: $i] :
( ( nil = sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk1 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(rewrite,[status(thm)],[211,644]) ).
thf(668,plain,
! [A: $i] :
( ( nil = sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(simp,[status(thm)],[667]) ).
thf(683,plain,
! [A: $i] :
( ( nil = sk1 )
| ~ ( ssList @ A )
| ~ ( rearsegP @ sk1 @ A )
| ( ( neq @ sk1 @ nil )
!= ( neq @ A @ nil ) ) ),
inference(paramod_ordered,[status(thm)],[648,668]) ).
thf(684,plain,
( ( nil = sk1 )
| ~ ( ssList @ sk1 )
| ~ ( rearsegP @ sk1 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[683:[bind(A,$thf( sk1 ))]]) ).
thf(1,negated_conjecture,
ssList @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
thf(199,plain,
ssList @ sk1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(1391,plain,
( ( nil = sk1 )
| ~ $true
| ~ ( rearsegP @ sk1 @ sk1 ) ),
inference(rewrite,[status(thm)],[684,199]) ).
thf(1392,plain,
( ( nil = sk1 )
| ~ ( rearsegP @ sk1 @ sk1 ) ),
inference(simp,[status(thm)],[1391]) ).
thf(10,negated_conjecture,
( ( nil != sk1 )
| ( neq @ sk2 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
thf(198,plain,
( ( nil != sk1 )
| ( neq @ sk2 @ nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(215,plain,
( ( nil != sk1 )
| ( neq @ sk2 @ nil ) ),
inference(cnf,[status(esa)],[198]) ).
thf(216,plain,
( ( nil != sk1 )
| ( neq @ sk2 @ nil ) ),
inference(lifteq,[status(thm)],[215]) ).
thf(725,plain,
( ( nil != sk1 )
| ( neq @ sk1 @ nil ) ),
inference(rewrite,[status(thm)],[216,644]) ).
thf(726,plain,
( ( neq @ sk1 @ nil )
| ( nil != nil ) ),
inference(paramod_ordered,[status(thm)],[648,725]) ).
thf(727,plain,
neq @ sk1 @ nil,
inference(pattern_uni,[status(thm)],[726:[]]) ).
thf(11,negated_conjecture,
! [A: $i] :
( ( nil != sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
thf(205,plain,
! [A: $i] :
( ( nil != sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(213,plain,
! [A: $i] :
( ( nil != sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(cnf,[status(esa)],[205]) ).
thf(214,plain,
! [A: $i] :
( ( nil != sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk2 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(lifteq,[status(thm)],[213]) ).
thf(740,plain,
! [A: $i] :
( ( nil != sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk1 @ A )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(rewrite,[status(thm)],[214,644]) ).
thf(741,plain,
! [A: $i] :
( ( nil != sk1 )
| ~ ( ssList @ A )
| ~ ( neq @ A @ nil )
| ~ ( rearsegP @ sk1 @ A ) ),
inference(simp,[status(thm)],[740]) ).
thf(744,plain,
! [A: $i] :
( ( nil != sk1 )
| ~ ( ssList @ A )
| ~ ( rearsegP @ sk1 @ A )
| ( ( neq @ sk1 @ nil )
!= ( neq @ A @ nil ) ) ),
inference(paramod_ordered,[status(thm)],[727,741]) ).
thf(745,plain,
( ( nil != sk1 )
| ~ ( ssList @ sk1 )
| ~ ( rearsegP @ sk1 @ sk1 ) ),
inference(pattern_uni,[status(thm)],[744:[bind(A,$thf( sk1 ))]]) ).
thf(764,plain,
( ( nil != sk1 )
| ~ $true
| ~ ( rearsegP @ sk1 @ sk1 ) ),
inference(rewrite,[status(thm)],[745,199]) ).
thf(765,plain,
( ( nil != sk1 )
| ~ ( rearsegP @ sk1 @ sk1 ) ),
inference(simp,[status(thm)],[764]) ).
thf(1419,plain,
( ~ ( rearsegP @ sk1 @ sk1 )
| ( nil != nil ) ),
inference(paramod_ordered,[status(thm)],[1392,765]) ).
thf(1420,plain,
~ ( rearsegP @ sk1 @ sk1 ),
inference(pattern_uni,[status(thm)],[1419:[]]) ).
thf(65913,plain,
! [A: $i] :
( ~ ( ssList @ A )
| ( ( rearsegP @ A @ A )
!= ( rearsegP @ sk1 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[430,1420]) ).
thf(65914,plain,
~ ( ssList @ sk1 ),
inference(pattern_uni,[status(thm)],[65913:[bind(A,$thf( sk1 ))]]) ).
thf(65995,plain,
~ $true,
inference(rewrite,[status(thm)],[65914,199]) ).
thf(65996,plain,
$false,
inference(simp,[status(thm)],[65995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC047-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n009.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 03:02:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.49/1.02 % [INFO] Parsing done (159ms).
% 1.49/1.03 % [INFO] Running in sequential loop mode.
% 1.89/1.22 % [INFO] nitpick registered as external prover.
% 1.89/1.22 % [INFO] Scanning for conjecture ...
% 1.97/1.31 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.23/1.38 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.79/1.47 % [INFO] Problem is propositional (TPTP CNF).
% 2.79/1.48 % [INFO] Type checking passed.
% 2.79/1.48 % [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 ...
% 257.41/36.71 % [INFO] Killing All external provers ...
% 257.41/36.72 % Time passed: 36185ms (effective reasoning time: 35679ms)
% 257.41/36.73 % Axioms used in derivation (1): clause59
% 257.41/36.73 % No. of inferences in proof: 54
% 257.41/36.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 36185 ms resp. 35679 ms w/o parsing
% 257.41/36.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 257.41/36.78 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------