TSTP Solution File: ITP010_7 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : ITP010_7 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 10:35:46 EDT 2024
% Result : Theorem 16.64s 5.09s
% Output : Refutation 16.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 11 ( 2 unt; 7 typ; 0 def)
% Number of atoms : 6 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 6 ~; 0 |; 0 &; 32 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-4 aty)
% Number of variables : 10 ( 0 ^ 8 !; 0 ?; 10 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $tType ).
thf(p_type,type,
p: tyop_2Emin_2Ebool > $o ).
thf(tyop_2Emin_2Eind_type,type,
tyop_2Emin_2Eind: $tType ).
thf(tyop_2Enum_2Enum_type,type,
tyop_2Enum_2Enum: $tType ).
thf(tyop_2Eone_2Eone_type,type,
tyop_2Eone_2Eone: $tType ).
thf(tyop_2Estring_2Echar_type,type,
tyop_2Estring_2Echar: $tType ).
thf(c_2Ecardinal_2Ecardleq_2E2_type,type,
c_2Ecardinal_2Ecardleq_2E2:
!>[TA: $tType,TB: $tType] : ( ( tyop_2Emin_2Efun @ TB @ tyop_2Emin_2Ebool ) > ( tyop_2Emin_2Efun @ TA @ tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ) ).
thf(1,conjecture,
! [TA: $tType,TB: $tType,A: tyop_2Emin_2Efun @ TB @ tyop_2Emin_2Ebool,B: tyop_2Emin_2Efun @ TA @ tyop_2Emin_2Ebool] :
( ~ ( p @ ( c_2Ecardinal_2Ecardleq_2E2 @ TB @ TA @ A @ B ) )
<=> ~ ( p @ ( c_2Ecardinal_2Ecardleq_2E2 @ TB @ TA @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
thf(2,negated_conjecture,
~ ! [TA: $tType,TB: $tType,A: tyop_2Emin_2Efun @ TB @ tyop_2Emin_2Ebool,B: tyop_2Emin_2Efun @ TA @ tyop_2Emin_2Ebool] :
( ~ ( p @ ( c_2Ecardinal_2Ecardleq_2E2 @ TB @ TA @ A @ B ) )
<=> ~ ( p @ ( c_2Ecardinal_2Ecardleq_2E2 @ TB @ TA @ A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(218,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(219,plain,
$false,
inference(simp,[status(thm)],[218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP010_7 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 22:00:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.96/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 5.50/2.14 % [INFO] Parsing done (1288ms).
% 5.50/2.16 % [INFO] Running in sequential loop mode.
% 6.06/2.36 % [INFO] nitpick registered as external prover.
% 6.06/2.36 % [INFO] Scanning for conjecture ...
% 9.41/3.14 % [INFO] Found a conjecture and 10763 axioms. Running axiom selection ...
% 10.50/3.54 % [INFO] Axiom selection finished. Selected 215 axioms (removed 10548 axioms).
% 11.06/3.68 % [INFO] Problem is typed first-order (TPTP TFF).
% 11.06/3.70 % [INFO] Type checking passed.
% 11.06/3.71 % [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 ...
% 16.64/5.09 % [INFO] Killing All external provers ...
% 16.64/5.09 % Time passed: 4560ms (effective reasoning time: 2928ms)
% 16.64/5.09 % 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)>
% 16.64/5.09 % Axioms used in derivation (0):
% 16.64/5.09 % No. of inferences in proof: 4
% 16.64/5.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4560 ms resp. 2928 ms w/o parsing
% 16.89/5.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.89/5.12 % [INFO] Killing All external provers ...
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