TSTP Solution File: LCL441-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL441-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 11:30:25 EDT 2023
% Result : Unsatisfiable 2.48s 1.58s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of formulae : 17 ( 3 unt; 10 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 110 ( 6 ~; 4 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_PropLog_Opl_Oop_A_N_62_type,type,
c_PropLog_Opl_Oop_A_N_62: $i > $i > $i > $i ).
thf(c_PropLog_Opl_Ovar_type,type,
c_PropLog_Opl_Ovar: $i > $i > $i ).
thf(v_a_type,type,
v_a: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_PropLog_Opl_Ofalse_type,type,
c_PropLog_Opl_Ofalse: $i ).
thf(c_PropLog_Othms_type,type,
c_PropLog_Othms: $i > $i > $i ).
thf(c_insert_type,type,
c_insert: $i > $i > $i > $i ).
thf(c_emptyset_type,type,
c_emptyset: $i ).
thf(tc_PropLog_Opl_type,type,
tc_PropLog_Opl: $i > $i ).
thf(1,negated_conjecture,
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_insert @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ c_emptyset @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ~ ( c_in @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ ( c_PropLog_Othms @ ( c_insert @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ c_emptyset @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(4,plain,
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_insert @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ c_emptyset @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ~ ( c_in @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ ( c_PropLog_Othms @ ( c_insert @ ( c_PropLog_Opl_Ovar @ v_a @ t_a ) @ c_emptyset @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
thf(6,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] : ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
thf(8,plain,
! [C: $i,B: $i,A: $i] : ( c_in @ A @ ( c_insert @ A @ B @ C ) @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,plain,
$false,
inference(cvc4,[status(thm)],[4,6,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL441-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n009.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 16:00:19 EDT 2023
% 0.15/0.36 % CPUTime :
% 1.02/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.02 % [INFO] Parsing done (119ms).
% 1.29/1.02 % [INFO] Running in sequential loop mode.
% 1.67/1.23 % [INFO] eprover registered as external prover.
% 1.67/1.23 % [INFO] cvc4 registered as external prover.
% 1.67/1.24 % [INFO] Scanning for conjecture ...
% 1.75/1.29 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.75/1.31 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.75/1.31 % [INFO] Problem is propositional (TPTP CNF).
% 1.75/1.31 % [INFO] Type checking passed.
% 1.75/1.32 % [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 ...
% 2.48/1.57 % External prover 'cvc4' found a proof!
% 2.48/1.57 % [INFO] Killing All external provers ...
% 2.48/1.57 % Time passed: 1056ms (effective reasoning time: 545ms)
% 2.48/1.57 % 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)>
% 2.48/1.57 % Axioms used in derivation (2): cls_PropLog_Othms_OH_0, cls_Set_OinsertCI_1
% 2.48/1.57 % No. of inferences in proof: 7
% 2.48/1.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1056 ms resp. 545 ms w/o parsing
% 2.48/1.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.48/1.62 % [INFO] Killing All external provers ...
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