TSTP Solution File: LCL446-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---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 : 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 : Tue May 21 00:10:03 EDT 2024
% Result : Unsatisfiable 9.91s 2.71s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 47 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 480 ( 20 ~; 16 |; 0 &; 444 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 13 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 : 95 ( 0 ^ 95 !; 0 ?; 95 :)
% 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/sandbox/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(6,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(polarity_switch,[status(thm)],[5]) ).
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/sandbox/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(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/sandbox/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(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/sandbox/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(9,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(cnf,[status(esa)],[8]) ).
thf(31,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ F @ ( c_PropLog_Othms @ G @ H ) @ ( tc_PropLog_Opl @ H ) )
| ( c_in @ I @ ( c_PropLog_Othms @ G @ H ) @ ( tc_PropLog_Opl @ H ) )
| ( ( 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 ) )
!= ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ F @ I @ H ) @ ( c_PropLog_Othms @ G @ H ) @ ( tc_PropLog_Opl @ H ) ) ) ),
inference(paramod_ordered,[status(thm)],[10,9]) ).
thf(32,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ ( c_PropLog_Opl_Oop_A_N_62 @ C @ E @ B ) @ B ) @ ( c_PropLog_Othms @ A @ B ) @ ( tc_PropLog_Opl @ B ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ C @ B ) @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ E @ B ) @ B ) @ ( c_PropLog_Othms @ A @ B ) @ ( tc_PropLog_Opl @ B ) ) ),
inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( V )),bind(B,$thf( T )),bind(C,$thf( W )),bind(D,$thf( R )),bind(E,$thf( E )),bind(F,$thf( c_PropLog_Opl_Oop_A_N_62 @ V @ ( c_PropLog_Opl_Oop_A_N_62 @ T @ W @ R ) @ R )),bind(G,$thf( E )),bind(H,$thf( R )),bind(I,$thf( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V @ T @ R ) @ ( c_PropLog_Opl_Oop_A_N_62 @ V @ W @ R ) @ R ))]]) ).
thf(40,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ ( c_PropLog_Opl_Oop_A_N_62 @ C @ E @ B ) @ B ) @ ( c_PropLog_Othms @ A @ B ) @ ( tc_PropLog_Opl @ B ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ C @ B ) @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ E @ B ) @ B ) @ ( c_PropLog_Othms @ A @ B ) @ ( tc_PropLog_Opl @ B ) ) ),
inference(simp,[status(thm)],[32]) ).
thf(227,plain,
! [I: $i,H: $i,G: $i,F: $i,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 @ H @ G @ F ) @ ( c_PropLog_Opl_Oop_A_N_62 @ H @ I @ F ) @ F ) @ ( c_PropLog_Othms @ E @ F ) @ ( tc_PropLog_Opl @ F ) )
| ( ( 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 ) )
!= ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ H @ ( c_PropLog_Opl_Oop_A_N_62 @ G @ I @ F ) @ F ) @ ( c_PropLog_Othms @ E @ F ) @ ( tc_PropLog_Opl @ F ) ) ) ),
inference(paramod_ordered,[status(thm)],[7,40]) ).
thf(228,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ B @ C ) @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ C ) @ C ) @ ( c_PropLog_Othms @ D @ C ) @ ( tc_PropLog_Opl @ C ) ),
inference(pattern_uni,[status(thm)],[227:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( B )),bind(H,$thf( A )),bind(I,$thf( A ))]]) ).
thf(33,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ E @ H @ G ) @ ( c_PropLog_Othms @ F @ G ) @ ( tc_PropLog_Opl @ G ) )
| ( c_in @ H @ ( c_PropLog_Othms @ F @ G ) @ ( tc_PropLog_Opl @ G ) )
| ( ( 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 ) )
!= ( c_in @ E @ ( c_PropLog_Othms @ F @ G ) @ ( tc_PropLog_Opl @ G ) ) ) ),
inference(paramod_ordered,[status(thm)],[7,9]) ).
thf(34,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ E @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ E @ C ) @ C ) @ B @ C ) @ ( c_PropLog_Othms @ A @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ B @ ( c_PropLog_Othms @ A @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(pattern_uni,[status(thm)],[33:[bind(A,$thf( M )),bind(B,$thf( L )),bind(C,$thf( K )),bind(D,$thf( D )),bind(E,$thf( c_PropLog_Opl_Oop_A_N_62 @ M @ ( c_PropLog_Opl_Oop_A_N_62 @ L @ M @ K ) @ K )),bind(F,$thf( D )),bind(G,$thf( K )),bind(H,$thf( H ))]]) ).
thf(41,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 @ E @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ E @ C ) @ C ) @ B @ C ) @ ( c_PropLog_Othms @ A @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( c_in @ B @ ( c_PropLog_Othms @ A @ C ) @ ( tc_PropLog_Opl @ C ) ) ),
inference(simp,[status(thm)],[34]) ).
thf(380,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_in @ F @ ( c_PropLog_Othms @ E @ G ) @ ( tc_PropLog_Opl @ G ) )
| ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ B @ C ) @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ C ) @ C ) @ ( c_PropLog_Othms @ D @ C ) @ ( tc_PropLog_Opl @ C ) )
!= ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ I @ ( c_PropLog_Opl_Oop_A_N_62 @ H @ I @ G ) @ G ) @ F @ G ) @ ( c_PropLog_Othms @ E @ G ) @ ( tc_PropLog_Opl @ G ) ) ) ),
inference(paramod_ordered,[status(thm)],[228,41]) ).
thf(381,plain,
! [C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ B @ B @ C ) @ ( c_PropLog_Othms @ A @ C ) @ ( tc_PropLog_Opl @ C ) ),
inference(pattern_uni,[status(thm)],[380:[bind(A,$thf( N )),bind(B,$thf( c_PropLog_Opl_Oop_A_N_62 @ J @ N @ O )),bind(C,$thf( O )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( c_PropLog_Opl_Oop_A_N_62 @ N @ N @ O )),bind(G,$thf( O )),bind(H,$thf( J )),bind(I,$thf( N ))]]) ).
thf(414,plain,
! [C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ B @ B @ C ) @ ( c_PropLog_Othms @ A @ C ) @ ( tc_PropLog_Opl @ C ) ),
inference(simp,[status(thm)],[381]) ).
thf(416,plain,
~ $true,
inference(rewrite,[status(thm)],[6,414]) ).
thf(417,plain,
$false,
inference(simp,[status(thm)],[416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL446-2 : TPTP v8.2.0. Released v3.2.0.
% 0.14/0.14 % 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 : Mon May 20 02:55:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.95 % [INFO] Parsing done (98ms).
% 1.22/0.96 % [INFO] Running in sequential loop mode.
% 1.59/1.16 % [INFO] nitpick registered as external prover.
% 1.59/1.16 % [INFO] Scanning for conjecture ...
% 1.71/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 1.71/1.23 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.85/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.24 % [INFO] Type checking passed.
% 1.85/1.24 % [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 ...
% 9.91/2.70 % [INFO] Killing All external provers ...
% 9.91/2.71 % Time passed: 2182ms (effective reasoning time: 1736ms)
% 9.91/2.71 % Axioms used in derivation (3): cls_PropLog_Othms_OK_0, cls_PropLog_Othms_OS_0, cls_PropLog_Othms_OMP_0
% 9.91/2.71 % No. of inferences in proof: 23
% 9.91/2.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2182 ms resp. 1736 ms w/o parsing
% 9.96/2.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.96/2.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------