TSTP Solution File: SYN030-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 12:26:59 EDT 2023
% Result : Unsatisfiable 2.55s 1.46s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 24 ( 1 unt; 5 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 26 ~; 26 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $o ).
thf(q_type,type,
q: $o ).
thf(r_type,type,
r: $o ).
thf(t_type,type,
t: $o ).
thf(s_type,type,
s: $o ).
thf(1,negated_conjecture,
( ~ p
| ~ q
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem) ).
thf(10,plain,
( ~ p
| ~ q
| ~ r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
( ~ r
| q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
thf(24,plain,
( ~ r
| q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
( ~ r
| s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(14,plain,
( ~ r
| s ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
( ~ q
| r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(20,plain,
( ~ q
| r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
( q
| r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(22,plain,
( q
| r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
( ~ t
| ~ s
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(12,plain,
( ~ t
| ~ s
| p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
( ~ r
| ~ q
| t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(18,plain,
( ~ r
| ~ q
| t ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
( ~ t
| r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(16,plain,
( ~ t
| r ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
( ~ s
| ~ p
| q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(26,plain,
( ~ s
| ~ p
| q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(30,plain,
$false,
inference(e,[status(thm)],[10,24,14,20,22,12,18,16,26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:42:36 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.85/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.93 % [INFO] Parsing done (103ms).
% 1.23/0.94 % [INFO] Running in sequential loop mode.
% 1.47/1.13 % [INFO] eprover registered as external prover.
% 1.47/1.13 % [INFO] cvc4 registered as external prover.
% 1.47/1.13 % [INFO] Scanning for conjecture ...
% 1.47/1.18 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 1.75/1.19 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.75/1.20 % [INFO] Problem is propositional (TPTP CNF).
% 1.75/1.20 % [INFO] Type checking passed.
% 1.75/1.20 % [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 ...
% 2.26/1.46 % External prover 'e' found a proof!
% 2.26/1.46 % [INFO] Killing All external provers ...
% 2.26/1.46 % Time passed: 949ms (effective reasoning time: 516ms)
% 2.26/1.46 % 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)>
% 2.55/1.46 % Axioms used in derivation (8): clause3, clause7, clause2, clause6, clause1, clause5, clause8, clause4
% 2.55/1.46 % No. of inferences in proof: 19
% 2.55/1.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 949 ms resp. 516 ms w/o parsing
% 2.57/1.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.57/1.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------