TSTP Solution File: SYN352+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN352+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 12:28:28 EDT 2023
% Result : Theorem 2.74s 1.54s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 38 ( 0 equ; 0 cnn)
% Maximal formula atoms : 15 ( 9 avg)
% Number of connectives : 110 ( 2 ~; 3 |; 5 &; 74 @)
% ( 4 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 9 !; 6 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i] :
? [C: $i,D: $i] :
! [E: $i] :
( ( big_f @ A @ B )
=> ( ( ( big_f @ C @ D )
=> ( ( big_f @ B @ E )
| ( big_f @ D @ E ) ) )
=> ( ( ( ( big_f @ C @ D )
=> ( ( big_f @ B @ E )
<=> ( big_f @ C @ E ) ) )
=> ( big_f @ E @ E ) )
=> ( ( big_f @ C @ D )
& ( ( big_f @ C @ E )
<=> ( big_f @ D @ E ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_4) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
? [C: $i,D: $i] :
! [E: $i] :
( ( big_f @ A @ B )
=> ( ( ( big_f @ C @ D )
=> ( ( big_f @ B @ E )
| ( big_f @ D @ E ) ) )
=> ( ( ( ( big_f @ C @ D )
=> ( ( big_f @ B @ E )
<=> ( big_f @ C @ E ) ) )
=> ( big_f @ E @ E ) )
=> ( ( big_f @ C @ D )
& ( ( big_f @ C @ E )
<=> ( big_f @ D @ E ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i] :
? [C: $i,D: $i] :
! [E: $i] :
( ( big_f @ A @ B )
=> ( ( ( big_f @ C @ D )
=> ( ( big_f @ B @ E )
| ( big_f @ D @ E ) ) )
=> ( ( ( ( big_f @ C @ D )
=> ( ( ( big_f @ B @ E )
=> ( big_f @ C @ E ) )
& ( ( big_f @ C @ E )
=> ( big_f @ B @ E ) ) ) )
=> ( big_f @ E @ E ) )
=> ( ( big_f @ C @ D )
& ( ( big_f @ C @ E )
=> ( big_f @ D @ E ) )
& ( ( big_f @ D @ E )
=> ( big_f @ C @ E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN352+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 19:28:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.92/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.95 % [INFO] Parsing done (104ms).
% 1.21/0.95 % [INFO] Running in sequential loop mode.
% 1.61/1.15 % [INFO] eprover registered as external prover.
% 1.61/1.15 % [INFO] cvc4 registered as external prover.
% 1.61/1.15 % [INFO] Scanning for conjecture ...
% 1.71/1.20 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.71/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.87/1.23 % [INFO] Problem is first-order (TPTP FOF).
% 1.87/1.24 % [INFO] Type checking passed.
% 1.87/1.24 % [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 ...
% 2.74/1.54 % External prover 'e' found a proof!
% 2.74/1.54 % [INFO] Killing All external provers ...
% 2.74/1.54 % Time passed: 1015ms (effective reasoning time: 580ms)
% 2.74/1.54 % 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)>
% 2.74/1.54 % Axioms used in derivation (0):
% 2.74/1.54 % No. of inferences in proof: 4
% 2.74/1.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1015 ms resp. 580 ms w/o parsing
% 2.78/1.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.78/1.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------