TSTP Solution File: SYN075+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 12:27:13 EDT 2023
% Result : Theorem 2.61s 1.54s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 26 ( 16 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 40 ( 2 ~; 0 |; 7 &; 18 @)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 11 !; 11 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(1,conjecture,
? [A: $i] :
! [B: $i] :
( ? [C: $i] :
! [D: $i] :
( ( big_f @ D @ B )
<=> ( D = C ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i] :
( ? [C: $i] :
! [D: $i] :
( ( big_f @ D @ B )
<=> ( D = C ) )
<=> ( B = A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: $i] :
! [B: $i] :
( ( ? [C: $i] :
! [D: $i] :
( ( ( big_f @ D @ B )
=> ( D = C ) )
& ( ( D = C )
=> ( big_f @ D @ B ) ) )
=> ( B = A ) )
& ( ( B = A )
=> ? [C: $i] :
! [D: $i] :
( ( ( big_f @ D @ B )
=> ( D = C ) )
& ( ( D = C )
=> ( big_f @ D @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i,B: $i] :
! [C: $i,D: $i] :
( ( big_f @ C @ D )
<=> ( ( C = A )
& ( D = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel52_1) ).
thf(26,plain,
? [A: $i,B: $i] :
! [C: $i,D: $i] :
( ( ( big_f @ C @ D )
=> ( ( C = A )
& ( D = B ) ) )
& ( ( ( C = A )
& ( D = B ) )
=> ( big_f @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(35,plain,
$false,
inference(cvc4,[status(thm)],[4,26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n015.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu May 18 20:04:23 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.86/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.94 % [INFO] Parsing done (110ms).
% 1.20/0.95 % [INFO] Running in sequential loop mode.
% 1.50/1.15 % [INFO] eprover registered as external prover.
% 1.50/1.15 % [INFO] cvc4 registered as external prover.
% 1.50/1.15 % [INFO] Scanning for conjecture ...
% 1.76/1.20 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.76/1.22 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.76/1.23 % [INFO] Problem is first-order (TPTP FOF).
% 1.76/1.23 % [INFO] Type checking passed.
% 1.87/1.23 % [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 ...
% 2.61/1.54 % External prover 'cvc4' found a proof!
% 2.61/1.54 % [INFO] Killing All external provers ...
% 2.61/1.54 % Time passed: 1034ms (effective reasoning time: 591ms)
% 2.61/1.54 % 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)>
% 2.61/1.54 % Axioms used in derivation (1): pel52_1
% 2.61/1.54 % No. of inferences in proof: 6
% 2.61/1.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1034 ms resp. 591 ms w/o parsing
% 2.61/1.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.61/1.57 % [INFO] Killing All external provers ...
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