TSTP Solution File: SYN949+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN949+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 12:33:05 EDT 2023
% Result : Theorem 2.66s 1.49s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 1 unt; 4 typ; 0 def)
% Number of atoms : 28 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 7 avg)
% Number of connectives : 65 ( 2 ~; 0 |; 15 &; 39 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 18 !; 6 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_type,type,
s: $i > $o ).
thf(r_type,type,
r: $i > $i > $o ).
thf(p_type,type,
p: $i > $o ).
thf(q_type,type,
q: $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( s @ A )
& ( s @ B )
& ( r @ B @ C )
& ! [D: $i] :
( ( s @ D )
=> ( p @ D ) )
& ! [D: $i,E: $i] :
( ( r @ D @ E )
=> ( q @ D @ E ) ) )
=> ? [D: $i,E: $i] :
( ( p @ D )
& ( q @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( s @ A )
& ( s @ B )
& ( r @ B @ C )
& ! [D: $i] :
( ( s @ D )
=> ( p @ D ) )
& ! [D: $i,E: $i] :
( ( r @ D @ E )
=> ( q @ D @ E ) ) )
=> ? [D: $i,E: $i] :
( ( p @ D )
& ( q @ D @ E ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( s @ A )
& ( s @ B )
& ( r @ B @ C )
& ! [D: $i] :
( ( s @ D )
=> ( p @ D ) )
& ! [D: $i,E: $i] :
( ( r @ D @ E )
=> ( q @ D @ E ) ) )
=> ? [D: $i,E: $i] :
( ( p @ D )
& ( q @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN949+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13 % Command : run_Leo-III %s %d
% 0.13/0.32 % Computer : n013.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Thu May 18 19:43:51 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.90/0.81 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.91 % [INFO] Parsing done (96ms).
% 1.21/0.91 % [INFO] Running in sequential loop mode.
% 1.56/1.09 % [INFO] eprover registered as external prover.
% 1.56/1.10 % [INFO] cvc4 registered as external prover.
% 1.56/1.10 % [INFO] Scanning for conjecture ...
% 1.56/1.15 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.56/1.17 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.56/1.17 % [INFO] Problem is first-order (TPTP FOF).
% 1.56/1.18 % [INFO] Type checking passed.
% 1.81/1.18 % [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 ...
% 2.62/1.48 % External prover 'e' found a proof!
% 2.62/1.48 % [INFO] Killing All external provers ...
% 2.66/1.48 % Time passed: 998ms (effective reasoning time: 569ms)
% 2.66/1.49 % 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)>
% 2.66/1.49 % Axioms used in derivation (0):
% 2.66/1.49 % No. of inferences in proof: 4
% 2.66/1.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 998 ms resp. 569 ms w/o parsing
% 2.84/1.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.84/1.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------