TSTP Solution File: LCL434-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : LCL434-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 00:10:00 EDT 2024
% Result : Unsatisfiable 7.02s 2.40s
% Output : Refutation 7.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 14 unt; 9 typ; 0 def)
% Number of atoms : 64 ( 20 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 335 ( 30 ~; 26 |; 0 &; 279 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 63 ( 0 ^ 63 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_pa_type,type,
v_pa: $i ).
thf(c_insert_type,type,
c_insert: $i > $i > $i > $i ).
thf(v_p_type,type,
v_p: $i ).
thf(v_H_type,type,
v_H: $i ).
thf(tc_PropLog_Opl_type,type,
tc_PropLog_Opl: $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_PropLog_Opl_Oop_A_N_62_type,type,
c_PropLog_Opl_Oop_A_N_62: $i > $i > $i > $i ).
thf(c_PropLog_Othms_type,type,
c_PropLog_Othms: $i > $i > $i ).
thf(5,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/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
thf(13,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)],[5]) ).
thf(14,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(cnf,[status(esa)],[13]) ).
thf(2,negated_conjecture,
~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_pa @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(8,plain,
~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_pa @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_pa @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(624,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ D @ A @ C ) @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
!= ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_pa @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ) ),
inference(paramod_ordered,[status(thm)],[14,9]) ).
thf(625,plain,
~ ( c_in @ v_pa @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
inference(pattern_uni,[status(thm)],[624:[bind(A,$thf( v_pa )),bind(B,$thf( v_H )),bind(C,$thf( t_a )),bind(D,$thf( v_p ))]]) ).
thf(1,negated_conjecture,
c_in @ v_pa @ ( c_insert @ v_p @ v_H @ ( tc_PropLog_Opl @ t_a ) ) @ ( tc_PropLog_Opl @ t_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
c_in @ v_pa @ ( c_insert @ v_p @ v_H @ ( tc_PropLog_Opl @ t_a ) ) @ ( tc_PropLog_Opl @ t_a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
thf(15,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( A = B ) ),
inference(cnf,[status(esa)],[15]) ).
thf(17,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(202,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( c_in @ A @ C @ D )
| ( ( c_in @ v_pa @ ( c_insert @ v_p @ v_H @ ( tc_PropLog_Opl @ t_a ) ) @ ( tc_PropLog_Opl @ t_a ) )
!= ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D ) ) ),
inference(paramod_ordered,[status(thm)],[7,17]) ).
thf(203,plain,
( ( v_p = v_pa )
| ( c_in @ v_pa @ v_H @ ( tc_PropLog_Opl @ t_a ) ) ),
inference(pattern_uni,[status(thm)],[202:[bind(A,$thf( v_pa )),bind(B,$thf( v_p )),bind(C,$thf( v_H )),bind(D,$thf( tc_PropLog_Opl @ t_a ))]]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(21,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ B ) @ ( c_PropLog_Othms @ C @ B ) @ ( tc_PropLog_Opl @ B ) )
!= ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_pa @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ),
inference(paramod_ordered,[status(thm)],[12,9]) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_PropLog_Opl_Oop_A_N_62 @ A @ A @ B )
!= ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_pa @ t_a ) )
| ( ( c_PropLog_Othms @ C @ B )
!= ( c_PropLog_Othms @ v_H @ t_a ) )
| ( ( tc_PropLog_Opl @ B )
!= ( tc_PropLog_Opl @ t_a ) ) ),
inference(simp,[status(thm)],[21]) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( A != v_p )
| ( A != v_pa )
| ( B != t_a )
| ( C != v_H )
| ( B != t_a )
| ( ( tc_PropLog_Opl @ B )
!= ( tc_PropLog_Opl @ t_a ) ) ),
inference(simp,[status(thm)],[22]) ).
thf(32,plain,
v_p != v_pa,
inference(simp,[status(thm)],[25]) ).
thf(300,plain,
c_in @ v_pa @ v_H @ ( tc_PropLog_Opl @ t_a ),
inference(simplifyReflect,[status(thm)],[203,32]) ).
thf(3,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(10,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)],[3]) ).
thf(11,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(cnf,[status(esa)],[10]) ).
thf(339,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ A @ ( c_PropLog_Othms @ B @ C ) @ ( tc_PropLog_Opl @ C ) )
| ( ( c_in @ v_pa @ v_H @ ( tc_PropLog_Opl @ t_a ) )
!= ( c_in @ A @ B @ ( tc_PropLog_Opl @ C ) ) ) ),
inference(paramod_ordered,[status(thm)],[300,11]) ).
thf(340,plain,
c_in @ v_pa @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ),
inference(pattern_uni,[status(thm)],[339:[bind(A,$thf( v_pa )),bind(B,$thf( v_H )),bind(C,$thf( t_a ))]]) ).
thf(682,plain,
~ $true,
inference(rewrite,[status(thm)],[625,340]) ).
thf(683,plain,
$false,
inference(simp,[status(thm)],[682]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL434-2 : TPTP v8.2.0. Released v3.2.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 01:47:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.95/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/1.03 % [INFO] Parsing done (109ms).
% 1.14/1.03 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] nitpick registered as external prover.
% 1.72/1.24 % [INFO] Scanning for conjecture ...
% 1.80/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 1.80/1.30 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.80/1.31 % [INFO] Problem is propositional (TPTP CNF).
% 1.80/1.31 % [INFO] Type checking passed.
% 1.80/1.32 % [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 ...
% 7.02/2.39 % [INFO] Killing All external provers ...
% 7.02/2.40 % Time passed: 1856ms (effective reasoning time: 1356ms)
% 7.02/2.40 % Axioms used in derivation (4): cls_PropLog_Oweaken__right_0, cls_Set_OinsertE_0, cls_PropLog_Othms__I_0, cls_PropLog_Othms_OH_0
% 7.02/2.40 % No. of inferences in proof: 30
% 7.02/2.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1856 ms resp. 1356 ms w/o parsing
% 7.02/2.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.02/2.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------