TSTP Solution File: LCL432-2 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : LCL432-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 7 10:40:51 EDT 2024
% Result : Unsatisfiable 2.30s 1.52s
% Output : Refutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 18 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 83 ( 10 ~; 4 |; 0 &; 69 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_PropLog_Osat_type,type,
c_PropLog_Osat: $i > $i > $i > $o ).
thf(c_emptyset_type,type,
c_emptyset: $i ).
thf(v_x_type,type,
v_x: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_PropLog_Othms_type,type,
c_PropLog_Othms: $i > $i > $i ).
thf(tc_PropLog_Opl_type,type,
tc_PropLog_Opl: $i > $i ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( c_PropLog_Osat @ c_emptyset @ A @ B )
| ( c_in @ A @ ( c_PropLog_Othms @ c_emptyset @ B ) @ ( tc_PropLog_Opl @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0_0) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( c_PropLog_Osat @ c_emptyset @ A @ B )
| ( c_in @ A @ ( c_PropLog_Othms @ c_emptyset @ B ) @ ( tc_PropLog_Opl @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
! [B: $i,A: $i] :
( ~ ( c_PropLog_Osat @ c_emptyset @ A @ B )
| ( c_in @ A @ ( c_PropLog_Othms @ c_emptyset @ B ) @ ( tc_PropLog_Opl @ B ) ) ),
inference(cnf,[status(esa)],[7]) ).
thf(2,negated_conjecture,
~ ( c_in @ v_x @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(5,plain,
~ ( c_in @ v_x @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
~ ( c_in @ v_x @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ( c_PropLog_Osat @ c_emptyset @ A @ B )
| ( ( c_in @ A @ ( c_PropLog_Othms @ c_emptyset @ B ) @ ( tc_PropLog_Opl @ B ) )
!= ( c_in @ v_x @ ( c_PropLog_Othms @ c_emptyset @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ) ),
inference(paramod_ordered,[status(thm)],[8,6]) ).
thf(12,plain,
~ ( c_PropLog_Osat @ c_emptyset @ v_x @ t_a ),
inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( v_x )),bind(B,$thf( t_a ))]]) ).
thf(1,negated_conjecture,
c_PropLog_Osat @ c_emptyset @ v_x @ t_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(4,plain,
c_PropLog_Osat @ c_emptyset @ v_x @ t_a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,plain,
~ $true,
inference(rewrite,[status(thm)],[12,4]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL432-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 18:56:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.14/0.97 % [INFO] Parsing done (102ms).
% 1.14/0.98 % [INFO] Running in sequential loop mode.
% 1.62/1.18 % [INFO] nitpick registered as external prover.
% 1.62/1.19 % [INFO] Scanning for conjecture ...
% 1.78/1.24 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.78/1.26 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.78/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.78/1.26 % [INFO] Type checking passed.
% 1.78/1.27 % [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 ...
% 2.30/1.51 % [INFO] Killing All external provers ...
% 2.30/1.52 % Time passed: 977ms (effective reasoning time: 534ms)
% 2.30/1.52 % 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)>
% 2.30/1.52 % Axioms used in derivation (1): cls_PropLog_Ocompleteness__0_0
% 2.30/1.52 % No. of inferences in proof: 12
% 2.30/1.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 977 ms resp. 534 ms w/o parsing
% 2.30/1.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.30/1.54 % [INFO] Killing All external provers ...
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