TSTP Solution File: COM144+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 7 10:28:19 EDT 2024
% Result : Theorem 9.77s 3.55s
% Output : Refutation 9.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 37 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 123 ( 15 ~; 5 |; 3 &; 91 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 49 ( 0 ^ 48 !; 1 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(vreduce_type,type,
vreduce: $i > $i ).
thf(vabs_type,type,
vabs: $i > $i > $i > $i ).
thf(ve1_type,type,
ve1: $i ).
thf(vsomeExp_type,type,
vsomeExp: $i > $i ).
thf(vtcheck_type,type,
vtcheck: $i > $i > $i > $o ).
thf(vnoExp_type,type,
vnoExp: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( ( vreduce @ ( vabs @ A @ B @ ve1 ) )
= ( vsomeExp @ D ) )
& ( vtcheck @ C @ ( vabs @ A @ B @ ve1 ) @ E ) )
=> ( vtcheck @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Preservation-T-abs') ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( ( vreduce @ ( vabs @ A @ B @ ve1 ) )
= ( vsomeExp @ D ) )
& ( vtcheck @ C @ ( vabs @ A @ B @ ve1 ) @ E ) )
=> ( vtcheck @ C @ D @ E ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(62,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( ( vreduce @ ( vabs @ A @ B @ ve1 ) )
= ( vsomeExp @ D ) )
& ( vtcheck @ C @ ( vabs @ A @ B @ ve1 ) @ E ) )
=> ( vtcheck @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(65,plain,
( ( vreduce @ ( vabs @ sk1 @ sk2 @ ve1 ) )
= ( vsomeExp @ sk4 ) ),
inference(cnf,[status(esa)],[62]) ).
thf(66,plain,
( ( vreduce @ ( vabs @ sk1 @ sk2 @ ve1 ) )
= ( vsomeExp @ sk4 ) ),
inference(lifteq,[status(thm)],[65]) ).
thf(41,axiom,
! [A: $i] :
( vnoExp
!= ( vsomeExp @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).
thf(459,plain,
! [A: $i] :
( vnoExp
!= ( vsomeExp @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(460,plain,
~ ? [A: $i] :
( vnoExp
= ( vsomeExp @ A ) ),
inference(miniscope,[status(thm)],[459]) ).
thf(461,plain,
! [A: $i] :
( vnoExp
!= ( vsomeExp @ A ) ),
inference(cnf,[status(esa)],[460]) ).
thf(462,plain,
! [A: $i] :
( ( vsomeExp @ A )
!= vnoExp ),
inference(lifteq,[status(thm)],[461]) ).
thf(569,plain,
! [A: $i] :
( ( ( vreduce @ ( vabs @ sk1 @ sk2 @ ve1 ) )
!= vnoExp )
| ( ( vsomeExp @ sk4 )
!= ( vsomeExp @ A ) ) ),
inference(paramod_ordered,[status(thm)],[66,462]) ).
thf(570,plain,
( ( vreduce @ ( vabs @ sk1 @ sk2 @ ve1 ) )
!= vnoExp ),
inference(pattern_uni,[status(thm)],[569:[bind(A,$thf( sk4 ))]]) ).
thf(52,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D
= ( vabs @ A @ B @ C ) )
=> ( ( E
= ( vreduce @ D ) )
=> ( E = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce1) ).
thf(516,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( D
= ( vabs @ A @ B @ C ) )
=> ( ( E
= ( vreduce @ D ) )
=> ( E = vnoExp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(517,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D
= ( vabs @ A @ B @ C ) )
=> ! [E: $i] :
( ( E
= ( vreduce @ D ) )
=> ( E = vnoExp ) ) ),
inference(miniscope,[status(thm)],[516]) ).
thf(518,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D
!= ( vabs @ A @ B @ C ) )
| ( E
!= ( vreduce @ D ) )
| ( E = vnoExp ) ),
inference(cnf,[status(esa)],[517]) ).
thf(519,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D
!= ( vabs @ A @ B @ C ) )
| ( E
!= ( vreduce @ D ) )
| ( E = vnoExp ) ),
inference(lifteq,[status(thm)],[518]) ).
thf(520,plain,
! [C: $i,B: $i,A: $i] :
( ( vreduce @ ( vabs @ A @ B @ C ) )
= vnoExp ),
inference(simp,[status(thm)],[519]) ).
thf(633,plain,
vnoExp != vnoExp,
inference(rewrite,[status(thm)],[570,520]) ).
thf(634,plain,
$false,
inference(simp,[status(thm)],[633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08 % Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% 0.08/0.10 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 7 00:54:39 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.91/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.14 % [INFO] Parsing done (233ms).
% 1.53/1.15 % [INFO] Running in sequential loop mode.
% 2.02/1.46 % [INFO] nitpick registered as external prover.
% 2.02/1.47 % [INFO] Scanning for conjecture ...
% 2.25/1.58 % [INFO] Found a conjecture and 59 axioms. Running axiom selection ...
% 2.43/1.65 % [INFO] Axiom selection finished. Selected 59 axioms (removed 0 axioms).
% 2.81/1.77 % [INFO] Problem is first-order (TPTP FOF).
% 2.81/1.79 % [INFO] Type checking passed.
% 2.81/1.80 % [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 ...
% 9.77/3.54 % [INFO] Killing All external provers ...
% 9.77/3.55 % Time passed: 3089ms (effective reasoning time: 2389ms)
% 9.77/3.55 % Solved by 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)>
% 9.77/3.55 % Axioms used in derivation (2): DIFF-noExp-someExp, reduce1
% 9.77/3.55 % No. of inferences in proof: 20
% 9.77/3.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3089 ms resp. 2389 ms w/o parsing
% 9.77/3.57 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.77/3.57 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------