TSTP Solution File: SYN068+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN068+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri May 19 12:27:11 EDT 2023
% Result : Theorem 2.64s 1.51s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 12 ( 1 unt; 4 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 7 ~; 0 |; 11 &; 28 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 4 !; 9 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_j_type,type,
big_j: $i > $o ).
thf(big_f_type,type,
big_f: $i > $o ).
thf(big_g_type,type,
big_g: $i > $o ).
thf(big_h_type,type,
big_h: $i > $i > $o ).
thf(1,conjecture,
? [A: $i] :
( ( big_j @ A )
& ~ ( big_f @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( big_j @ A )
& ~ ( big_f @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ? [A: $i] :
( ( big_j @ A )
& ~ ( big_f @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( big_f @ A )
=> ( ? [B: $i] :
( ( big_g @ B )
& ( big_h @ A @ B ) )
& ? [B: $i] :
( ( big_g @ B )
& ~ ( big_h @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_1) ).
thf(7,plain,
! [A: $i] :
( ( big_f @ A )
=> ( ? [B: $i] :
( ( big_g @ B )
& ( big_h @ A @ B ) )
& ? [B: $i] :
( ( big_g @ B )
& ~ ( big_h @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
? [A: $i] :
( ( big_j @ A )
& ! [B: $i] :
( ( big_g @ B )
=> ( big_h @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_2) ).
thf(12,plain,
? [A: $i] :
( ( big_j @ A )
& ! [B: $i] :
( ( big_g @ B )
=> ( big_h @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[5,7,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN068+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n010.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 : Thu May 18 19:32:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.95 % [INFO] Parsing done (100ms).
% 1.26/0.95 % [INFO] Running in sequential loop mode.
% 1.49/1.14 % [INFO] eprover registered as external prover.
% 1.49/1.14 % [INFO] cvc4 registered as external prover.
% 1.49/1.15 % [INFO] Scanning for conjecture ...
% 1.68/1.19 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.76/1.21 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.76/1.22 % [INFO] Problem is first-order (TPTP FOF).
% 1.76/1.22 % [INFO] Type checking passed.
% 1.76/1.22 % [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 ...
% 2.64/1.50 % External prover 'e' found a proof!
% 2.64/1.50 % [INFO] Killing All external provers ...
% 2.64/1.50 % Time passed: 977ms (effective reasoning time: 546ms)
% 2.64/1.50 % 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)>
% 2.64/1.50 % Axioms used in derivation (2): pel44_1, pel44_2
% 2.64/1.50 % No. of inferences in proof: 8
% 2.64/1.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 977 ms resp. 546 ms w/o parsing
% 2.74/1.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.74/1.56 % [INFO] Killing All external provers ...
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