TSTP Solution File: SWC322-1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC322-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 04:34:54 EDT 2024
% Result : Unsatisfiable 14.46s 3.55s
% Output : Refutation 14.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 81 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 149 ( 102 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 368 ( 79 ~; 79 |; 0 &; 210 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% 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(ssItem_type,type,
ssItem: $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(12,negated_conjecture,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil = sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
thf(210,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil = sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(227,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil = sk2 ) ),
inference(cnf,[status(esa)],[210]) ).
thf(228,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil = sk2 ) ),
inference(lifteq,[status(thm)],[227]) ).
thf(8,negated_conjecture,
( ( nil = sk3 )
| ( nil != sk4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
thf(215,plain,
( ( nil = sk3 )
| ( nil != sk4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(229,plain,
( ( nil = sk3 )
| ( nil != sk4 ) ),
inference(cnf,[status(esa)],[215]) ).
thf(230,plain,
( ( nil = sk3 )
| ( nil != sk4 ) ),
inference(lifteq,[status(thm)],[229]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(202,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(233,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[202]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(206,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(218,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[206]) ).
thf(666,plain,
( ( nil = sk1 )
| ( nil != sk2 ) ),
inference(rewrite,[status(thm)],[230,233,218]) ).
thf(15,negated_conjecture,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil != sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
thf(217,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil != sk1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(231,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil != sk1 ) ),
inference(cnf,[status(esa)],[217]) ).
thf(232,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 )
| ( nil != sk1 ) ),
inference(lifteq,[status(thm)],[231]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
= sk3 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(211,plain,
! [B: $i,A: $i] :
( ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
= sk3 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(234,plain,
! [B: $i,A: $i] :
( ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
= sk3 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk4 ) ),
inference(cnf,[status(esa)],[211]) ).
thf(235,plain,
! [B: $i,A: $i] :
( ( ( app @ ( cons @ A @ nil ) @ B )
= sk3 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk4 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B ) ),
inference(lifteq,[status(thm)],[234]) ).
thf(863,plain,
! [B: $i,A: $i] :
( ( ( app @ ( cons @ A @ nil ) @ B )
= sk1 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk2 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B ) ),
inference(rewrite,[status(thm)],[235,233,218]) ).
thf(16,negated_conjecture,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil != sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
thf(213,plain,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil != sk1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(223,plain,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil != sk1 ) ),
inference(cnf,[status(esa)],[213]) ).
thf(224,plain,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil != sk1 ) ),
inference(lifteq,[status(thm)],[223]) ).
thf(870,plain,
! [B: $i,A: $i] :
( ( ( app @ B @ ( cons @ A @ nil ) )
!= sk2 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( nil != sk1 )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= ( app @ ( cons @ sk5 @ nil ) @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[863,224]) ).
thf(871,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
!= sk2 )
| ~ ( ssItem @ sk5 )
| ~ ( ssList @ sk6 )
| ( nil != sk1 ) ),
inference(pattern_uni,[status(thm)],[870:[bind(A,$thf( sk5 )),bind(B,$thf( sk6 ))]]) ).
thf(9,negated_conjecture,
( ( ssItem @ sk5 )
| ( nil = sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(207,plain,
( ( ssItem @ sk5 )
| ( nil = sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(236,plain,
( ( ssItem @ sk5 )
| ( nil = sk2 ) ),
inference(cnf,[status(esa)],[207]) ).
thf(237,plain,
( ( nil = sk2 )
| ( ssItem @ sk5 ) ),
inference(lifteq,[status(thm)],[236]) ).
thf(677,plain,
( ( ssItem @ sk5 )
| ( nil = sk1 )
| ( nil != nil ) ),
inference(paramod_ordered,[status(thm)],[237,666]) ).
thf(678,plain,
( ( ssItem @ sk5 )
| ( nil = sk1 ) ),
inference(pattern_uni,[status(thm)],[677:[]]) ).
thf(10,negated_conjecture,
( ( ssItem @ sk5 )
| ( nil != sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
thf(203,plain,
( ( ssItem @ sk5 )
| ( nil != sk1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(225,plain,
( ( ssItem @ sk5 )
| ( nil != sk1 ) ),
inference(cnf,[status(esa)],[203]) ).
thf(226,plain,
( ( nil != sk1 )
| ( ssItem @ sk5 ) ),
inference(lifteq,[status(thm)],[225]) ).
thf(833,plain,
( ( ssItem @ sk5 )
| ( nil != nil ) ),
inference(paramod_ordered,[status(thm)],[678,226]) ).
thf(834,plain,
ssItem @ sk5,
inference(pattern_uni,[status(thm)],[833:[]]) ).
thf(11,negated_conjecture,
( ( ssList @ sk6 )
| ( nil = sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
thf(214,plain,
( ( ssList @ sk6 )
| ( nil = sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(238,plain,
( ( ssList @ sk6 )
| ( nil = sk2 ) ),
inference(cnf,[status(esa)],[214]) ).
thf(239,plain,
( ( nil = sk2 )
| ( ssList @ sk6 ) ),
inference(lifteq,[status(thm)],[238]) ).
thf(717,plain,
( ( ssList @ sk6 )
| ( nil = sk1 )
| ( nil != nil ) ),
inference(paramod_ordered,[status(thm)],[239,666]) ).
thf(718,plain,
( ( ssList @ sk6 )
| ( nil = sk1 ) ),
inference(pattern_uni,[status(thm)],[717:[]]) ).
thf(14,negated_conjecture,
( ( ssList @ sk6 )
| ( nil != sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
thf(204,plain,
( ( ssList @ sk6 )
| ( nil != sk1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(219,plain,
( ( ssList @ sk6 )
| ( nil != sk1 ) ),
inference(cnf,[status(esa)],[204]) ).
thf(220,plain,
( ( nil != sk1 )
| ( ssList @ sk6 ) ),
inference(lifteq,[status(thm)],[219]) ).
thf(1126,plain,
( ( ssList @ sk6 )
| ( nil != nil ) ),
inference(paramod_ordered,[status(thm)],[718,220]) ).
thf(1127,plain,
ssList @ sk6,
inference(pattern_uni,[status(thm)],[1126:[]]) ).
thf(1269,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
!= sk2 )
| ~ $true
| ~ $true
| ( nil != sk1 ) ),
inference(rewrite,[status(thm)],[871,834,1127]) ).
thf(1270,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
!= sk2 )
| ( nil != sk1 ) ),
inference(simp,[status(thm)],[1269]) ).
thf(1274,plain,
( ( nil != sk1 )
| ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
!= ( app @ sk6 @ ( cons @ sk5 @ nil ) ) ) ),
inference(paramod_ordered,[status(thm)],[232,1270]) ).
thf(1275,plain,
nil != sk1,
inference(pattern_uni,[status(thm)],[1274:[]]) ).
thf(1278,plain,
nil != sk2,
inference(simplifyReflect,[status(thm)],[666,1275]) ).
thf(1280,plain,
( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
= sk2 ),
inference(simplifyReflect,[status(thm)],[228,1278]) ).
thf(13,negated_conjecture,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil = sk2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
thf(208,plain,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil = sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(221,plain,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil = sk2 ) ),
inference(cnf,[status(esa)],[208]) ).
thf(222,plain,
( ( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 )
| ( nil = sk2 ) ),
inference(lifteq,[status(thm)],[221]) ).
thf(1281,plain,
( ( app @ ( cons @ sk5 @ nil ) @ sk6 )
!= sk1 ),
inference(simplifyReflect,[status(thm)],[222,1278]) ).
thf(1333,plain,
! [B: $i,A: $i] :
( ( ( app @ B @ ( cons @ A @ nil ) )
!= sk2 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= ( app @ ( cons @ sk5 @ nil ) @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[863,1281]) ).
thf(1334,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
!= sk2 )
| ~ ( ssItem @ sk5 )
| ~ ( ssList @ sk6 ) ),
inference(pattern_uni,[status(thm)],[1333:[bind(A,$thf( sk5 )),bind(B,$thf( sk6 ))]]) ).
thf(1335,plain,
( ( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
!= sk2 )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[1334,834,1127]) ).
thf(1336,plain,
( ( app @ sk6 @ ( cons @ sk5 @ nil ) )
!= sk2 ),
inference(simp,[status(thm)],[1335]) ).
thf(2081,plain,
$false,
inference(simplifyReflect,[status(thm)],[1280,1336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC322-1 : TPTP v8.2.0. Released v2.4.0.
% 0.16/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n020.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 03:55:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.92/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/1.00 % [INFO] Parsing done (152ms).
% 1.35/1.01 % [INFO] Running in sequential loop mode.
% 1.87/1.21 % [INFO] nitpick registered as external prover.
% 1.87/1.21 % [INFO] Scanning for conjecture ...
% 2.11/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.47/1.37 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.77/1.46 % [INFO] Problem is propositional (TPTP CNF).
% 2.77/1.46 % [INFO] Type checking passed.
% 2.77/1.47 % [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 ...
% 14.46/3.54 % [INFO] Killing All external provers ...
% 14.46/3.55 % Time passed: 3021ms (effective reasoning time: 2528ms)
% 14.46/3.55 % Axioms used in derivation (0):
% 14.46/3.55 % No. of inferences in proof: 70
% 14.46/3.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3021 ms resp. 2528 ms w/o parsing
% 14.46/3.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.46/3.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------