TSTP Solution File: SYN059+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 12:27:07 EDT 2023
% Result : Theorem 2.50s 1.58s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 12 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 37 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 67 ( 2 ~; 0 |; 13 &; 36 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 ^; 16 !; 4 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $o ).
thf(big_h_type,type,
big_h: $i > $o ).
thf(big_g_type,type,
big_g: $i > $o ).
thf(big_j_type,type,
big_j: $i > $o ).
thf(1,conjecture,
( ( ! [A: $i] :
( ( big_f @ A )
=> ( big_h @ A ) )
& ! [A: $i] :
( ( big_g @ A )
=> ( big_j @ A ) ) )
<=> ! [A: $i,B: $i] :
( ( ( big_f @ A )
& ( big_g @ B ) )
=> ( ( big_h @ A )
& ( big_j @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ( big_f @ A )
=> ( big_h @ A ) )
& ! [A: $i] :
( ( big_g @ A )
=> ( big_j @ A ) ) )
<=> ! [A: $i,B: $i] :
( ( ( big_f @ A )
& ( big_g @ B ) )
=> ( ( big_h @ A )
& ( big_j @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( ( ( ! [A: $i] :
( ( big_f @ A )
=> ( big_h @ A ) )
& ! [A: $i] :
( ( big_g @ A )
=> ( big_j @ A ) ) )
=> ! [A: $i,B: $i] :
( ( ( big_f @ A )
& ( big_g @ B ) )
=> ( ( big_h @ A )
& ( big_j @ B ) ) ) )
& ( ! [A: $i,B: $i] :
( ( ( big_f @ A )
& ( big_g @ B ) )
=> ( ( big_h @ A )
& ( big_j @ B ) ) )
=> ( ! [A: $i] :
( ( big_f @ A )
=> ( big_h @ A ) )
& ! [A: $i] :
( ( big_g @ A )
=> ( big_j @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i] : ( big_f @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29_1) ).
thf(20,plain,
? [A: $i] : ( big_f @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
? [A: $i] : ( big_g @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel29_2) ).
thf(22,plain,
? [A: $i] : ( big_g @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[5,20,22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n018.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 19:49:43 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.88/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.08/0.98 % [INFO] Parsing done (118ms).
% 1.08/0.99 % [INFO] Running in sequential loop mode.
% 1.64/1.19 % [INFO] eprover registered as external prover.
% 1.65/1.19 % [INFO] cvc4 registered as external prover.
% 1.65/1.20 % [INFO] Scanning for conjecture ...
% 1.76/1.25 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.76/1.27 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.76/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.76/1.27 % [INFO] Type checking passed.
% 1.76/1.28 % [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 ...
% 2.50/1.58 % External prover 'e' found a proof!
% 2.50/1.58 % [INFO] Killing All external provers ...
% 2.50/1.58 % Time passed: 1069ms (effective reasoning time: 586ms)
% 2.50/1.58 % 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)>
% 2.50/1.58 % Axioms used in derivation (2): pel29_1, pel29_2
% 2.50/1.58 % No. of inferences in proof: 8
% 2.50/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1069 ms resp. 586 ms w/o parsing
% 2.82/1.65 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.82/1.65 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------