TSTP Solution File: LCL442-2 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 3.04s 1.63s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 37 ( 1 unt; 12 typ; 0 def)
% Number of atoms : 53 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 490 ( 26 ~; 28 |; 0 &; 436 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_pl1_type,type,
v_pl1: $i ).
thf(c_PropLog_Othms_type,type,
c_PropLog_Othms: $i > $i > $i ).
thf(c_PropLog_Ohyps_type,type,
c_PropLog_Ohyps: $i > $i > $i > $i ).
thf(v_tt_type,type,
v_tt: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(tc_PropLog_Opl_type,type,
tc_PropLog_Opl: $i > $i ).
thf(c_PropLog_Oeval_type,type,
c_PropLog_Oeval: $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_Ofalse_type,type,
c_PropLog_Opl_Ofalse: $i ).
thf(v_pl2_type,type,
v_pl2: $i ).
thf(c_union_type,type,
c_union: $i > $i > $i > $i ).
thf(1,negated_conjecture,
( ( c_in @ v_pl1 @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ~ ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(14,plain,
( ( c_in @ v_pl1 @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ~ ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ c_PropLog_Opl_Ofalse @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ D @ C ) @ c_PropLog_Opl_Ofalse @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oimp__false_0) ).
thf(29,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ c_PropLog_Opl_Ofalse @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ D @ C ) @ c_PropLog_Opl_Ofalse @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ A @ ( c_PropLog_Othms @ ( c_union @ D @ B @ ( tc_PropLog_Opl @ C ) ) @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un2_0) ).
thf(33,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ A @ ( c_PropLog_Othms @ ( c_union @ D @ B @ ( tc_PropLog_Opl @ C ) ) @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,negated_conjecture,
( ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a )
| ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @ ( c_PropLog_Othms @ ( c_union @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(13,plain,
( ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a )
| ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @ ( c_PropLog_Othms @ ( c_union @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_union @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a )
| ~ ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
thf(17,plain,
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_union @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a )
| ~ ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ c_PropLog_Opl_Ofalse @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ D @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ofalse__imp_0) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ c_PropLog_Opl_Ofalse @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ D @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ A @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
thf(35,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ A @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,negated_conjecture,
( ( c_in @ v_pl2 @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ~ ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(18,plain,
( ( c_in @ v_pl2 @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ~ ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(19,plain,
( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl2 @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
( ~ ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a )
| ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @ ( c_PropLog_Othms @ ( c_union @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(15,plain,
( ~ ( c_PropLog_Oeval @ v_tt @ v_pl2 @ t_a )
| ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ v_pl2 @ t_a ) @ ( c_PropLog_Othms @ ( c_union @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ ( c_PropLog_Ohyps @ v_pl2 @ v_tt @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,negated_conjecture,
( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(16,plain,
( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_pl1 @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ ( c_PropLog_Ohyps @ v_pl1 @ v_tt @ t_a ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
| ( c_PropLog_Oeval @ v_tt @ v_pl1 @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ A @ ( c_PropLog_Othms @ ( c_union @ B @ D @ ( tc_PropLog_Opl @ C ) ) @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un1_0) ).
thf(31,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ A @ ( c_PropLog_Othms @ ( c_union @ B @ D @ ( tc_PropLog_Opl @ C ) ) @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[14,29,33,13,17,27,35,18,19,15,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 15:48:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (124ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.54/1.17 % [INFO] eprover registered as external prover.
% 1.54/1.17 % [INFO] cvc4 registered as external prover.
% 1.54/1.17 % [INFO] Scanning for conjecture ...
% 1.87/1.25 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.87/1.27 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.87/1.28 % [INFO] Problem is propositional (TPTP CNF).
% 1.87/1.28 % [INFO] Type checking passed.
% 1.87/1.29 % [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 ...
% 3.04/1.63 % External prover 'e' found a proof!
% 3.04/1.63 % [INFO] Killing All external provers ...
% 3.04/1.63 % Time passed: 1113ms (effective reasoning time: 657ms)
% 3.04/1.63 % 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)>
% 3.04/1.63 % Axioms used in derivation (5): cls_PropLog_Oweaken__left__Un2_0, cls_PropLog_Oweaken__right_0, cls_PropLog_Oweaken__left__Un1_0, cls_PropLog_Ofalse__imp_0, cls_PropLog_Oimp__false_0
% 3.04/1.63 % No. of inferences in proof: 25
% 3.04/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1113 ms resp. 657 ms w/o parsing
% 3.04/1.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.04/1.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------