TSTP Solution File: SYN721-1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYN721-1 : TPTP v8.2.0. Released v2.5.0.
% 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 : Tue May 21 08:13:19 EDT 2024
% Result : Unsatisfiable 2.48s 1.60s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 3 unt; 4 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 8 ~; 6 |; 0 &; 28 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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(r_type,type,
r: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(q_type,type,
q: $i > $i > $o ).
thf(1,negated_conjecture,
r @ a @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_1) ).
thf(5,plain,
r @ a @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ( q @ A @ A )
| ~ ( r @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_2) ).
thf(6,plain,
! [B: $i,A: $i] :
( ( q @ A @ A )
| ~ ( r @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( r @ A @ B )
| ~ ( q @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_3) ).
thf(7,plain,
! [C: $i,B: $i,A: $i] :
( ( r @ A @ B )
| ~ ( q @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( q @ A @ a )
| ~ ( r @ b @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lx1_4) ).
thf(8,plain,
! [A: $i] :
( ~ ( q @ A @ a )
| ~ ( r @ b @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,plain,
$false,
inference(cvc4,[status(thm)],[5,6,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN721-1 : TPTP v8.2.0. Released v2.5.0.
% 0.16/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 14:06:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.98/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/1.02 % [INFO] Parsing done (108ms).
% 1.37/1.03 % [INFO] Running in sequential loop mode.
% 1.75/1.25 % [INFO] eprover registered as external prover.
% 1.75/1.25 % [INFO] cvc4 registered as external prover.
% 1.75/1.26 % [INFO] Scanning for conjecture ...
% 1.75/1.31 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.95/1.34 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.95/1.34 % [INFO] Problem is propositional (TPTP CNF).
% 1.95/1.34 % [INFO] Type checking passed.
% 1.95/1.34 % [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 ...
% 2.48/1.60 % External prover 'cvc4' found a proof!
% 2.48/1.60 % [INFO] Killing All external provers ...
% 2.48/1.60 % Time passed: 1085ms (effective reasoning time: 568ms)
% 2.48/1.60 % Axioms used in derivation (0):
% 2.48/1.60 % No. of inferences in proof: 9
% 2.48/1.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1085 ms resp. 568 ms w/o parsing
% 2.48/1.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.48/1.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------