TSTP Solution File: SYN350+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 2.53s 1.69s
% Output : Refutation 2.53s
% 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 : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 71 ( 2 ~; 0 |; 6 &; 48 @)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 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 : 12 ( 0 ^; 6 !; 6 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(1,conjecture,
! [A: $i] :
? [B: $i,C: $i] :
! [D: $i] :
( ( ( big_f @ A @ D )
<=> ( big_f @ D @ A ) )
=> ( ( big_f @ A @ D )
<=> ( ( big_f @ C @ D )
& ( ( big_f @ B @ D )
=> ( big_f @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_2) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
? [B: $i,C: $i] :
! [D: $i] :
( ( ( big_f @ A @ D )
<=> ( big_f @ D @ A ) )
=> ( ( big_f @ A @ D )
<=> ( ( big_f @ C @ D )
& ( ( big_f @ B @ D )
=> ( big_f @ B @ C ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i] :
? [B: $i,C: $i] :
! [D: $i] :
( ( ( ( big_f @ A @ D )
=> ( big_f @ D @ A ) )
& ( ( big_f @ D @ A )
=> ( big_f @ A @ D ) ) )
=> ( ( ( big_f @ A @ D )
=> ( ( big_f @ C @ D )
& ( ( big_f @ B @ D )
=> ( big_f @ B @ C ) ) ) )
& ( ( ( big_f @ C @ D )
& ( ( big_f @ B @ D )
=> ( big_f @ B @ C ) ) )
=> ( big_f @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n012.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu May 18 19:19:32 EDT 2023
% 0.17/0.37 % CPUTime :
% 1.04/0.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/1.06 % [INFO] Parsing done (122ms).
% 1.24/1.07 % [INFO] Running in sequential loop mode.
% 1.58/1.28 % [INFO] eprover registered as external prover.
% 1.58/1.29 % [INFO] cvc4 registered as external prover.
% 1.58/1.29 % [INFO] Scanning for conjecture ...
% 1.82/1.35 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.82/1.38 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.82/1.38 % [INFO] Problem is first-order (TPTP FOF).
% 1.82/1.38 % [INFO] Type checking passed.
% 1.82/1.38 % [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 ...
% 2.53/1.69 % External prover 'e' found a proof!
% 2.53/1.69 % [INFO] Killing All external provers ...
% 2.53/1.69 % Time passed: 1142ms (effective reasoning time: 623ms)
% 2.53/1.69 % 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)>
% 2.53/1.69 % Axioms used in derivation (0):
% 2.53/1.69 % No. of inferences in proof: 4
% 2.53/1.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1142 ms resp. 623 ms w/o parsing
% 2.53/1.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.53/1.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------