TSTP Solution File: SYN076+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN076+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 7.85s 2.35s
% Output : Refutation 7.85s
% 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 : 59 ( 38 equ; 0 cnn)
% Maximal formula atoms : 40 ( 9 avg)
% Number of connectives : 97 ( 4 ~; 2 |; 15 &; 40 @)
% ( 10 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 46 ( 0 ^; 22 !; 24 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(1,conjecture,
( ? [A: $i] :
! [B: $i] :
( ? [C: $i] :
! [D: $i] :
( ( big_f @ B @ D )
<=> ( D = C ) )
<=> ( B = A ) )
<=> ? [A: $i] :
! [B: $i] :
( ? [C: $i] :
! [D: $i] :
( ( big_f @ D @ B )
<=> ( D = C ) )
<=> ( B = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel53) ).
thf(2,negated_conjecture,
~ ( ? [A: $i] :
! [B: $i] :
( ? [C: $i] :
! [D: $i] :
( ( big_f @ B @ D )
<=> ( D = C ) )
<=> ( B = A ) )
<=> ? [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 @ B @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( big_f @ B @ D ) ) )
=> ( B = A ) )
& ( ( B = A )
=> ? [C: $i] :
! [D: $i] :
( ( ( big_f @ B @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( big_f @ B @ D ) ) ) ) )
=> ? [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 ) ) ) ) ) )
& ( ? [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 ) ) ) ) )
=> ? [A: $i] :
! [B: $i] :
( ( ? [C: $i] :
! [D: $i] :
( ( ( big_f @ B @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( big_f @ B @ D ) ) )
=> ( B = A ) )
& ( ( B = A )
=> ? [C: $i] :
! [D: $i] :
( ( ( big_f @ B @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( big_f @ B @ D ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i,B: $i] :
( ( A != B )
& ! [C: $i] :
( ( C = A )
| ( C = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel53_1) ).
thf(84,plain,
? [A: $i,B: $i] :
( ( A != B )
& ! [C: $i] :
( ( C = A )
| ( C = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1325,plain,
$false,
inference(cvc4,[status(thm)],[4,84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN076+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.09 % Command : run_Leo-III %s %d
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Thu May 18 19:35:05 EDT 2023
% 0.09/0.27 % CPUTime :
% 0.65/0.63 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.76/0.72 % [INFO] Parsing done (97ms).
% 0.76/0.73 % [INFO] Running in sequential loop mode.
% 1.09/0.92 % [INFO] eprover registered as external prover.
% 1.09/0.92 % [INFO] cvc4 registered as external prover.
% 1.23/0.93 % [INFO] Scanning for conjecture ...
% 1.23/0.97 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.37/1.00 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.37/1.00 % [INFO] Problem is first-order (TPTP FOF).
% 1.37/1.00 % [INFO] Type checking passed.
% 1.37/1.00 % [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 ...
% 2.09/1.29 % [INFO] [Domain constraints] Detected constraint on $i
% 2.09/1.29 % [INFO] [Domain constraints] dom($i) ⊆ {sk22,sk23}
% 7.85/2.34 % External prover 'cvc4' found a proof!
% 7.85/2.34 % [INFO] Killing All external provers ...
% 7.85/2.35 % Time passed: 1982ms (effective reasoning time: 1612ms)
% 7.85/2.35 % 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)>
% 7.85/2.35 % Axioms used in derivation (1): pel53_1
% 7.85/2.35 % No. of inferences in proof: 6
% 7.85/2.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1982 ms resp. 1612 ms w/o parsing
% 7.85/2.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.85/2.38 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------