TSTP Solution File: SYN084+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN084+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 12:27:16 EDT 2023
% Result : Theorem 2.83s 1.62s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 20 ( 10 avg)
% Number of connectives : 123 ( 14 ~; 16 |; 9 &; 72 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(a_type,type,
a: $i ).
thf(f_type,type,
f: $i > $i ).
thf(1,conjecture,
( ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ( big_p @ ( f @ A ) ) ) )
=> ( big_p @ ( f @ ( f @ A ) ) ) )
<=> ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ( big_p @ ( f @ ( f @ A ) ) ) )
& ( ~ ( big_p @ a )
| ~ ( big_p @ ( f @ A ) )
| ( big_p @ ( f @ ( f @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ( big_p @ ( f @ A ) ) ) )
=> ( big_p @ ( f @ ( f @ A ) ) ) )
<=> ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ( big_p @ ( f @ ( f @ A ) ) ) )
& ( ~ ( big_p @ a )
| ~ ( big_p @ ( f @ A ) )
| ( big_p @ ( f @ ( f @ A ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ( big_p @ ( f @ A ) ) ) )
=> ( big_p @ ( f @ ( f @ A ) ) ) )
=> ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ( big_p @ ( f @ ( f @ A ) ) ) )
& ( ~ ( big_p @ a )
| ~ ( big_p @ ( f @ A ) )
| ( big_p @ ( f @ ( f @ A ) ) ) ) ) )
& ( ! [A: $i] :
( ( ~ ( big_p @ a )
| ( big_p @ A )
| ( big_p @ ( f @ ( f @ A ) ) ) )
& ( ~ ( big_p @ a )
| ~ ( big_p @ ( f @ A ) )
| ( big_p @ ( f @ ( f @ A ) ) ) ) )
=> ! [A: $i] :
( ( ( big_p @ a )
& ( ( big_p @ A )
=> ( big_p @ ( f @ A ) ) ) )
=> ( big_p @ ( f @ ( f @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 19:31:44 EDT 2023
% 0.16/0.37 % CPUTime :
% 1.01/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.02 % [INFO] Parsing done (119ms).
% 1.34/1.03 % [INFO] Running in sequential loop mode.
% 1.74/1.23 % [INFO] eprover registered as external prover.
% 1.74/1.23 % [INFO] cvc4 registered as external prover.
% 1.74/1.24 % [INFO] Scanning for conjecture ...
% 1.74/1.28 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.94/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.94/1.31 % [INFO] Problem is first-order (TPTP FOF).
% 1.94/1.31 % [INFO] Type checking passed.
% 1.94/1.31 % [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 ...
% 2.83/1.62 % External prover 'cvc4' found a proof!
% 2.83/1.62 % [INFO] Killing All external provers ...
% 2.83/1.62 % Time passed: 1088ms (effective reasoning time: 584ms)
% 2.83/1.62 % 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)>
% 2.83/1.62 % Axioms used in derivation (0):
% 2.83/1.62 % No. of inferences in proof: 4
% 2.83/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1088 ms resp. 584 ms w/o parsing
% 2.83/1.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.83/1.64 % [INFO] Killing All external provers ...
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