TSTP Solution File: SYN356+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 12:28:29 EDT 2023
% Result : Theorem 2.37s 1.50s
% Output : Refutation 2.62s
% 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 : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 71 ( 2 ~; 0 |; 12 &; 48 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_r_type,type,
big_r: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(big_q_type,type,
big_q: $i > $i > $o ).
thf(1,conjecture,
( ( ( big_r @ a @ b )
& ! [A: $i,B: $i] :
( ( big_r @ A @ B )
=> ( ( big_r @ B @ A )
& ( big_q @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ( big_q @ A @ B )
=> ( big_q @ A @ A ) ) )
=> ( ( big_q @ a @ a )
& ( big_q @ b @ b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2107) ).
thf(2,negated_conjecture,
~ ( ( ( big_r @ a @ b )
& ! [A: $i,B: $i] :
( ( big_r @ A @ B )
=> ( ( big_r @ B @ A )
& ( big_q @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ( big_q @ A @ B )
=> ( big_q @ A @ A ) ) )
=> ( ( big_q @ a @ a )
& ( big_q @ b @ b ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( big_r @ a @ b )
& ! [A: $i,B: $i] :
( ( big_r @ A @ B )
=> ( ( big_r @ B @ A )
& ( big_q @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ( big_q @ A @ B )
=> ( big_q @ A @ A ) ) )
=> ( ( big_q @ a @ a )
& ( big_q @ b @ b ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:45:43 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.96 % [INFO] Parsing done (102ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.46/1.15 % [INFO] eprover registered as external prover.
% 1.46/1.15 % [INFO] cvc4 registered as external prover.
% 1.46/1.16 % [INFO] Scanning for conjecture ...
% 1.73/1.21 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.73/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.73/1.23 % [INFO] Problem is first-order (TPTP FOF).
% 1.73/1.23 % [INFO] Type checking passed.
% 1.82/1.23 % [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 ...
% 2.37/1.49 % External prover 'e' found a proof!
% 2.37/1.49 % [INFO] Killing All external provers ...
% 2.37/1.49 % Time passed: 963ms (effective reasoning time: 525ms)
% 2.37/1.49 % 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)>
% 2.37/1.49 % Axioms used in derivation (0):
% 2.37/1.49 % No. of inferences in proof: 4
% 2.37/1.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 963 ms resp. 525 ms w/o parsing
% 2.62/1.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.62/1.51 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------