TSTP Solution File: LCL446-2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : LCL446-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 21 00:06:04 EDT 2024
% Result : Unsatisfiable 2.97s 2.03s
% Output : Refutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 16 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 142 ( 6 ~; 4 |; 0 &; 132 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 26 ( 0 ^ 26 !; 0 ?; 26 :)
% 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(v_p_type,type,
v_p: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_PropLog_Othms_type,type,
c_PropLog_Othms: $i > $i > $i ).
thf(v_H_type,type,
v_H: $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 @ v_p @ v_p @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(5,plain,
~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_p @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ ( c_PropLog_Opl_Oop_A_N_62 @ B @ A @ C ) @ C ) @ ( c_PropLog_Othms @ D @ C ) @ ( tc_PropLog_Opl @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
thf(7,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ ( c_PropLog_Opl_Oop_A_N_62 @ B @ A @ C ) @ C ) @ ( c_PropLog_Othms @ D @ C ) @ ( tc_PropLog_Opl @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,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 @ A @ D @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ D @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
thf(8,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 @ A @ D @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ D @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ ( c_PropLog_Opl_Oop_A_N_62 @ B @ C @ D ) @ D ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ B @ D ) @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ C @ D ) @ D ) @ D ) @ ( c_PropLog_Othms @ E @ D ) @ ( tc_PropLog_Opl @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).
thf(10,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ ( c_PropLog_Opl_Oop_A_N_62 @ B @ C @ D ) @ D ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ B @ D ) @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ C @ D ) @ D ) @ D ) @ ( c_PropLog_Othms @ E @ D ) @ ( tc_PropLog_Opl @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,plain,
$false,
inference(e,[status(thm)],[5,7,8,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL446-2 : TPTP v8.2.0. Released v3.2.0.
% 0.02/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 02:55:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 1.01/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.09 % [INFO] Parsing done (150ms).
% 1.30/1.10 % [INFO] Running in sequential loop mode.
% 1.85/1.47 % [INFO] eprover registered as external prover.
% 1.85/1.47 % [INFO] cvc4 registered as external prover.
% 1.85/1.48 % [INFO] Scanning for conjecture ...
% 2.05/1.57 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.11/1.60 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.11/1.61 % [INFO] Problem is propositional (TPTP CNF).
% 2.11/1.62 % [INFO] Type checking passed.
% 2.11/1.62 % [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 ...
% 2.97/2.03 % External prover 'e' found a proof!
% 2.97/2.03 % [INFO] Killing All external provers ...
% 2.97/2.03 % Time passed: 1556ms (effective reasoning time: 919ms)
% 2.97/2.03 % Axioms used in derivation (3): cls_PropLog_Othms_OK_0, cls_PropLog_Othms_OMP_0, cls_PropLog_Othms_OS_0
% 2.97/2.03 % No. of inferences in proof: 9
% 2.97/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1556 ms resp. 919 ms w/o parsing
% 2.97/2.08 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.97/2.08 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------