TSTP Solution File: PUZ009-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n031.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 11:47:23 EDT 2023
% Result : Unsatisfiable 2.74s 1.53s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 23
% Syntax : Number of formulae : 42 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 81 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 86 ( 42 ~; 44 |; 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(b_is_a_knight_type,type,
b_is_a_knight: $o ).
thf(a_is_a_knight_type,type,
a_is_a_knight: $o ).
thf(c_is_a_knight_type,type,
c_is_a_knight: $o ).
thf(d_is_a_knight_type,type,
d_is_a_knight: $o ).
thf(e_is_a_knight_type,type,
e_is_a_knight: $o ).
thf(18,axiom,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
thf(52,plain,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(16,axiom,
( d_is_a_knight
| ~ b_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).
thf(48,plain,
( d_is_a_knight
| ~ b_is_a_knight
| c_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(17,axiom,
( ~ b_is_a_knight
| ~ a_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
thf(50,plain,
( ~ b_is_a_knight
| ~ a_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(13,axiom,
( b_is_a_knight
| a_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
thf(42,plain,
( b_is_a_knight
| a_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(4,axiom,
( e_is_a_knight
| ~ c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
thf(24,plain,
( e_is_a_knight
| ~ c_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
( a_is_a_knight
| ~ c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).
thf(20,plain,
( a_is_a_knight
| ~ c_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,axiom,
( ~ d_is_a_knight
| b_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).
thf(46,plain,
( ~ d_is_a_knight
| b_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
thf(28,plain,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
( a_is_a_knight
| e_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).
thf(38,plain,
( a_is_a_knight
| e_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
( ~ d_is_a_knight
| ~ c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
thf(32,plain,
( ~ d_is_a_knight
| ~ c_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
( e_is_a_knight
| d_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
thf(34,plain,
( e_is_a_knight
| d_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
( ~ d_is_a_knight
| ~ a_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
thf(22,plain,
( ~ d_is_a_knight
| ~ a_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
thf(44,plain,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
( ~ a_is_a_knight
| ~ d_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
thf(40,plain,
( ~ a_is_a_knight
| ~ d_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
( ~ c_is_a_knight
| ~ d_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).
thf(26,plain,
( ~ c_is_a_knight
| ~ d_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
( ~ a_is_a_knight
| ~ e_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).
thf(36,plain,
( ~ a_is_a_knight
| ~ e_is_a_knight
| c_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
( d_is_a_knight
| a_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
thf(30,plain,
( d_is_a_knight
| a_is_a_knight
| c_is_a_knight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
b_is_a_knight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
thf(19,plain,
b_is_a_knight,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(54,plain,
$false,
inference(e,[status(thm)],[52,48,50,42,24,20,46,28,38,32,34,22,44,40,26,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n031.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 : Thu May 18 20:24:26 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.87/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (111ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.52/1.16 % [INFO] eprover registered as external prover.
% 1.52/1.16 % [INFO] cvc4 registered as external prover.
% 1.52/1.17 % [INFO] Scanning for conjecture ...
% 1.76/1.22 % [INFO] Found a conjecture and 17 axioms. Running axiom selection ...
% 1.83/1.25 % [INFO] Axiom selection finished. Selected 17 axioms (removed 0 axioms).
% 1.83/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.83/1.26 % [INFO] Type checking passed.
% 1.83/1.26 % [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 ...
% 2.54/1.53 % External prover 'e' found a proof!
% 2.67/1.53 % [INFO] Killing All external provers ...
% 2.67/1.53 % Time passed: 1012ms (effective reasoning time: 558ms)
% 2.67/1.53 % 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)>
% 2.74/1.53 % Axioms used in derivation (17): c15, c16, c13, c7, c17, c14, c10, c3, c4, c11, c8, c5, c2, c9, c12, c1, c6
% 2.74/1.53 % No. of inferences in proof: 37
% 2.74/1.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1012 ms resp. 558 ms w/o parsing
% 2.74/1.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.74/1.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------