TSTP Solution File: SYN050+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SYN050+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 : Tue May 7 11:00:50 EDT 2024
% Result : Theorem 2.33s 1.61s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 74 ( 9 ~; 4 |; 12 &; 37 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 36 ( 0 ^ 20 !; 16 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(big_q_type,type,
big_q: $i > $o ).
thf(big_r_type,type,
big_r: $i > $o ).
thf(big_s_type,type,
big_s: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ! [A: $i,B: $i] :
? [C: $i] :
! [D: $i] :
( ( ( big_p @ A )
& ( big_q @ B ) )
=> ( ( big_r @ C )
& ( big_s @ D ) ) )
=> ? [A: $i,B: $i] :
( ( ( big_p @ A )
& ( big_q @ B ) )
=> ? [C: $i] : ( big_r @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel20) ).
thf(2,negated_conjecture,
~ ( ! [A: $i,B: $i] :
? [C: $i] :
! [D: $i] :
( ( ( big_p @ A )
& ( big_q @ B ) )
=> ( ( big_r @ C )
& ( big_s @ D ) ) )
=> ? [A: $i,B: $i] :
( ( ( big_p @ A )
& ( big_q @ B ) )
=> ? [C: $i] : ( big_r @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i,B: $i] :
? [C: $i] :
! [D: $i] :
( ( ( big_p @ A )
& ( big_q @ B ) )
=> ( ( big_r @ C )
& ( big_s @ D ) ) )
=> ? [A: $i,B: $i] :
( ( ( big_p @ A )
& ( big_q @ B ) )
=> ? [C: $i] : ( big_r @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ( ? [A: $i] : ( big_p @ A )
& ? [A: $i] : ( big_q @ A ) )
=> ( ? [A: $i] : ( big_r @ A )
& ! [A: $i] : ( big_s @ A ) ) )
=> ( ( ! [A: $i] : ( big_p @ A )
& ! [A: $i] : ( big_q @ A ) )
=> ? [A: $i] : ( big_r @ A ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [B: $i,A: $i] :
( ~ ( big_p @ A )
| ~ ( big_q @ B )
| ( big_r @ sk1 ) ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
! [A: $i] : ( big_q @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
! [A: $i] : ( big_q @ A ),
inference(simp,[status(thm)],[9]) ).
thf(7,plain,
! [A: $i] : ( big_p @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(11,plain,
! [A: $i] : ( big_p @ A ),
inference(simp,[status(thm)],[7]) ).
thf(8,plain,
! [A: $i] :
~ ( big_r @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(12,plain,
! [A: $i] :
~ ( big_r @ A ),
inference(simp,[status(thm)],[8]) ).
thf(13,plain,
( ~ $true
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[5,10,11,12]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN050+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 6 21:09:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.90/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.10/0.98 % [INFO] Parsing done (127ms).
% 1.10/0.99 % [INFO] Running in sequential loop mode.
% 1.51/1.24 % [INFO] nitpick registered as external prover.
% 1.51/1.24 % [INFO] Scanning for conjecture ...
% 1.63/1.30 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.63/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.63/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 1.63/1.33 % [INFO] Type checking passed.
% 1.63/1.33 % [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 ...
% 2.33/1.60 % [INFO] Killing All external provers ...
% 2.33/1.61 % Time passed: 1092ms (effective reasoning time: 613ms)
% 2.33/1.61 % 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)>
% 2.33/1.61 % Axioms used in derivation (0):
% 2.33/1.61 % No. of inferences in proof: 13
% 2.33/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1092 ms resp. 613 ms w/o parsing
% 2.33/1.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.33/1.64 % [INFO] Killing All external provers ...
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