TSTP Solution File: SYN966+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 08:33:35 EDT 2024
% Result : Theorem 2.48s 1.60s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 65 ( 2 ~; 0 |; 3 &; 44 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(eq_type,type,
eq: $i > $i > $o ).
thf(a_member_of_type,type,
a_member_of: $i > $i > $o ).
thf(1,conjecture,
( ! [A: $i,B: $i] :
( ( eq @ A @ B )
<=> ! [C: $i] :
( ( a_member_of @ C @ A )
<=> ( a_member_of @ C @ B ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ( ! [A: $i,B: $i] :
( ( eq @ A @ B )
<=> ! [C: $i] :
( ( a_member_of @ C @ A )
<=> ( a_member_of @ C @ B ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i] :
( ( ( eq @ A @ B )
=> ! [C: $i] :
( ( ( a_member_of @ C @ A )
=> ( a_member_of @ C @ B ) )
& ( ( a_member_of @ C @ B )
=> ( a_member_of @ C @ A ) ) ) )
& ( ! [C: $i] :
( ( ( a_member_of @ C @ A )
=> ( a_member_of @ C @ B ) )
& ( ( a_member_of @ C @ B )
=> ( a_member_of @ C @ A ) ) )
=> ( eq @ A @ B ) ) )
=> ! [A: $i,B: $i] :
( ( eq @ A @ B )
=> ( eq @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n011.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon May 6 13:32:39 EDT 2024
% 0.16/0.38 % CPUTime :
% 1.03/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.16/0.98 % [INFO] Parsing done (103ms).
% 1.16/0.99 % [INFO] Running in sequential loop mode.
% 1.68/1.20 % [INFO] eprover registered as external prover.
% 1.68/1.21 % [INFO] cvc4 registered as external prover.
% 1.68/1.21 % [INFO] Scanning for conjecture ...
% 1.81/1.26 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.81/1.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.28 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.28 % [INFO] Type checking passed.
% 1.81/1.29 % [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 ...
% 2.48/1.60 % External prover 'e' found a proof!
% 2.48/1.60 % [INFO] Killing All external provers ...
% 2.48/1.60 % Time passed: 1059ms (effective reasoning time: 609ms)
% 2.48/1.60 % 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)>
% 2.48/1.60 % Axioms used in derivation (0):
% 2.48/1.60 % No. of inferences in proof: 4
% 2.48/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1059 ms resp. 609 ms w/o parsing
% 2.74/1.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.74/1.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------