TSTP Solution File: ITP010^2 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : ITP010^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n016.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 : Mon Jun 24 09:23:09 EDT 2024
% Result : Theorem 3.05s 1.69s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 54 ( 6 ~; 0 |; 0 &; 44 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(bool_type,type,
bool: del ).
thf(arr_type,type,
arr: del > del > del ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(c_2Ecardinal_2Ecardleq_type,type,
c_2Ecardinal_2Ecardleq: del > del > $i ).
thf(1,conjecture,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ bool ) )
=> ! [D: $i] :
( ( mem @ D @ ( arr @ B @ bool ) )
=> ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A @ B ) @ C ) @ D ) ) )
= ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A @ B ) @ C ) @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).
thf(2,negated_conjecture,
~ ! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ bool ) )
=> ! [D: $i] :
( ( mem @ D @ ( arr @ B @ bool ) )
=> ( ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A @ B ) @ C ) @ D ) ) )
= ( ~ ( p @ ( ap @ ( ap @ ( c_2Ecardinal_2Ecardleq @ A @ B ) @ C ) @ D ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(42,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(43,plain,
$false,
inference(simp,[status(thm)],[42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP010^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.12 % Command : run_Leo-III %s %d THM
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jun 19 00:45:25 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.97/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.46/1.02 % [INFO] Parsing done (145ms).
% 1.46/1.03 % [INFO] Running in sequential loop mode.
% 1.85/1.22 % [INFO] eprover registered as external prover.
% 1.85/1.23 % [INFO] Scanning for conjecture ...
% 1.97/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 1.97/1.34 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 2.28/1.39 % [INFO] Problem is higher-order (TPTP THF).
% 2.43/1.39 % [INFO] Type checking passed.
% 2.43/1.40 % [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 ...
% 3.05/1.68 % [INFO] Killing All external provers ...
% 3.05/1.69 % Time passed: 1144ms (effective reasoning time: 650ms)
% 3.05/1.69 % 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)>
% 3.05/1.69 % Axioms used in derivation (0):
% 3.05/1.69 % No. of inferences in proof: 4
% 3.05/1.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1144 ms resp. 650 ms w/o parsing
% 3.25/1.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.25/1.71 % [INFO] Killing All external provers ...
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