TSTP Solution File: SYN036+2 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 12:27:00 EDT 2023
% Result : Theorem 3.47s 1.79s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 81 ( 0 equ; 0 cnn)
% Maximal formula atoms : 64 ( 20 avg)
% Number of connectives : 159 ( 2 ~; 0 |; 21 &; 80 @)
% ( 14 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 64 ( 0 ^; 32 !; 32 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(big_q_type,type,
big_q: $i > $o ).
thf(1,conjecture,
( ( ? [A: $i] :
! [B: $i] :
( ( big_p @ A )
<=> ( big_p @ B ) )
<=> ( ? [A: $i] : ( big_q @ A )
<=> ! [A: $i] : ( big_p @ A ) ) )
<=> ( ? [A: $i] :
! [B: $i] :
( ( big_q @ A )
<=> ( big_q @ B ) )
<=> ( ? [A: $i] : ( big_p @ A )
<=> ! [A: $i] : ( big_q @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel34) ).
thf(2,negated_conjecture,
~ ( ( ? [A: $i] :
! [B: $i] :
( ( big_p @ A )
<=> ( big_p @ B ) )
<=> ( ? [A: $i] : ( big_q @ A )
<=> ! [A: $i] : ( big_p @ A ) ) )
<=> ( ? [A: $i] :
! [B: $i] :
( ( big_q @ A )
<=> ( big_q @ B ) )
<=> ( ? [A: $i] : ( big_p @ A )
<=> ! [A: $i] : ( big_q @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( ( ? [A: $i] :
! [B: $i] :
( ( ( big_p @ A )
=> ( big_p @ B ) )
& ( ( big_p @ B )
=> ( big_p @ A ) ) )
=> ( ( ? [A: $i] : ( big_q @ A )
=> ! [A: $i] : ( big_p @ A ) )
& ( ! [A: $i] : ( big_p @ A )
=> ? [A: $i] : ( big_q @ A ) ) ) )
& ( ( ( ? [A: $i] : ( big_q @ A )
=> ! [A: $i] : ( big_p @ A ) )
& ( ! [A: $i] : ( big_p @ A )
=> ? [A: $i] : ( big_q @ A ) ) )
=> ? [A: $i] :
! [B: $i] :
( ( ( big_p @ A )
=> ( big_p @ B ) )
& ( ( big_p @ B )
=> ( big_p @ A ) ) ) ) )
=> ( ( ? [A: $i] :
! [B: $i] :
( ( ( big_q @ A )
=> ( big_q @ B ) )
& ( ( big_q @ B )
=> ( big_q @ A ) ) )
=> ( ( ? [A: $i] : ( big_p @ A )
=> ! [A: $i] : ( big_q @ A ) )
& ( ! [A: $i] : ( big_q @ A )
=> ? [A: $i] : ( big_p @ A ) ) ) )
& ( ( ( ? [A: $i] : ( big_p @ A )
=> ! [A: $i] : ( big_q @ A ) )
& ( ! [A: $i] : ( big_q @ A )
=> ? [A: $i] : ( big_p @ A ) ) )
=> ? [A: $i] :
! [B: $i] :
( ( ( big_q @ A )
=> ( big_q @ B ) )
& ( ( big_q @ B )
=> ( big_q @ A ) ) ) ) ) )
& ( ( ( ? [A: $i] :
! [B: $i] :
( ( ( big_q @ A )
=> ( big_q @ B ) )
& ( ( big_q @ B )
=> ( big_q @ A ) ) )
=> ( ( ? [A: $i] : ( big_p @ A )
=> ! [A: $i] : ( big_q @ A ) )
& ( ! [A: $i] : ( big_q @ A )
=> ? [A: $i] : ( big_p @ A ) ) ) )
& ( ( ( ? [A: $i] : ( big_p @ A )
=> ! [A: $i] : ( big_q @ A ) )
& ( ! [A: $i] : ( big_q @ A )
=> ? [A: $i] : ( big_p @ A ) ) )
=> ? [A: $i] :
! [B: $i] :
( ( ( big_q @ A )
=> ( big_q @ B ) )
& ( ( big_q @ B )
=> ( big_q @ A ) ) ) ) )
=> ( ( ? [A: $i] :
! [B: $i] :
( ( ( big_p @ A )
=> ( big_p @ B ) )
& ( ( big_p @ B )
=> ( big_p @ A ) ) )
=> ( ( ? [A: $i] : ( big_q @ A )
=> ! [A: $i] : ( big_p @ A ) )
& ( ! [A: $i] : ( big_p @ A )
=> ? [A: $i] : ( big_q @ A ) ) ) )
& ( ( ( ? [A: $i] : ( big_q @ A )
=> ! [A: $i] : ( big_p @ A ) )
& ( ! [A: $i] : ( big_p @ A )
=> ? [A: $i] : ( big_q @ A ) ) )
=> ? [A: $i] :
! [B: $i] :
( ( ( big_p @ A )
=> ( big_p @ B ) )
& ( ( big_p @ B )
=> ( big_p @ A ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(96,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n019.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 19:37:28 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.93/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.96 % [INFO] Parsing done (97ms).
% 1.25/0.97 % [INFO] Running in sequential loop mode.
% 1.60/1.15 % [INFO] eprover registered as external prover.
% 1.60/1.16 % [INFO] cvc4 registered as external prover.
% 1.60/1.16 % [INFO] Scanning for conjecture ...
% 1.70/1.21 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.70/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.70/1.23 % [INFO] Problem is first-order (TPTP FOF).
% 1.85/1.23 % [INFO] Type checking passed.
% 1.85/1.24 % [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 ...
% 3.47/1.79 % External prover 'cvc4' found a proof!
% 3.47/1.79 % [INFO] Killing All external provers ...
% 3.47/1.79 % Time passed: 1253ms (effective reasoning time: 820ms)
% 3.47/1.79 % 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)>
% 3.47/1.79 % Axioms used in derivation (0):
% 3.47/1.79 % No. of inferences in proof: 4
% 3.47/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1253 ms resp. 820 ms w/o parsing
% 3.59/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.59/1.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------