TSTP Solution File: LCL113-10 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL113-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Mon Jun 24 11:04:14 EDT 2024
% Result : Unsatisfiable 152.45s 20.26s
% Output : CNFRefutation 152.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 2 RR)
% Number of literals : 62 ( 61 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 172 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c_50,plain,
ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_51,plain,
is_a_theorem(implies(X0,implies(X1,X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
cnf(c_52,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
cnf(c_53,plain,
is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
cnf(c_54,plain,
is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
cnf(c_55,negated_conjecture,
is_a_theorem(implies(implies(not(a),b),implies(not(b),a))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_33) ).
cnf(c_140,plain,
ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) = true,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_142,plain,
ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true) = true,
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_143,plain,
ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true) = true,
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_145,plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X1)),true,is_a_theorem(implies(implies(X1,X0),X0)),true),true) = true,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_149,plain,
ifeq(is_a_theorem(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) = true,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_153,plain,
ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,is_a_theorem(X2),true) = true,
inference(demodulation,[status(thm)],[c_140,c_49]) ).
cnf(c_154,plain,
ifeq(is_a_theorem(implies(implies(X0,X1),X1)),true,is_a_theorem(implies(implies(X1,X0),X0)),true) = true,
inference(demodulation,[status(thm)],[c_145,c_49]) ).
cnf(c_155,plain,
ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true) = true,
inference(demodulation,[status(thm)],[c_142,c_49]) ).
cnf(c_156,plain,
ifeq(is_a_theorem(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2)),true,is_a_theorem(X2),true) = true,
inference(demodulation,[status(thm)],[c_149,c_49]) ).
cnf(c_158,plain,
ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3)),true,is_a_theorem(X3),true) = true,
inference(demodulation,[status(thm)],[c_143,c_49]) ).
cnf(c_217,plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),true) = true,
inference(superposition,[status(thm)],[c_51,c_155]) ).
cnf(c_226,plain,
ifeq(true,true,is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))),true) = true,
inference(superposition,[status(thm)],[c_51,c_156]) ).
cnf(c_227,plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))),true) = true,
inference(superposition,[status(thm)],[c_52,c_156]) ).
cnf(c_242,plain,
ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))),true) = true,
inference(superposition,[status(thm)],[c_51,c_158]) ).
cnf(c_243,plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),true) = true,
inference(superposition,[status(thm)],[c_52,c_158]) ).
cnf(c_251,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) = true,
inference(demodulation,[status(thm)],[c_217,c_49]) ).
cnf(c_254,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))) = true,
inference(demodulation,[status(thm)],[c_226,c_49]) ).
cnf(c_259,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) = true,
inference(demodulation,[status(thm)],[c_242,c_49]) ).
cnf(c_261,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))) = true,
inference(demodulation,[status(thm)],[c_227,c_49]) ).
cnf(c_262,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) = true,
inference(demodulation,[status(thm)],[c_243,c_49]) ).
cnf(c_322,plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true),true) = true,
inference(superposition,[status(thm)],[c_251,c_50]) ).
cnf(c_364,plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2),X2)),true) = true,
inference(superposition,[status(thm)],[c_254,c_154]) ).
cnf(c_391,plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3),X3)),true) = true,
inference(superposition,[status(thm)],[c_259,c_154]) ).
cnf(c_434,plain,
ifeq(true,true,is_a_theorem(implies(implies(not(X0),not(X1)),implies(X2,implies(X1,X0)))),true) = true,
inference(superposition,[status(thm)],[c_261,c_153]) ).
cnf(c_443,plain,
ifeq(true,true,is_a_theorem(implies(implies(not(not(X0)),not(not(X1))),implies(X0,X1))),true) = true,
inference(superposition,[status(thm)],[c_261,c_156]) ).
cnf(c_449,plain,
ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),true) = true,
inference(superposition,[status(thm)],[c_262,c_50]) ).
cnf(c_503,plain,
is_a_theorem(implies(implies(not(not(X0)),not(not(X1))),implies(X0,X1))) = true,
inference(demodulation,[status(thm)],[c_443,c_49]) ).
cnf(c_504,plain,
is_a_theorem(implies(implies(not(X0),not(X1)),implies(X2,implies(X1,X0)))) = true,
inference(demodulation,[status(thm)],[c_434,c_49]) ).
cnf(c_507,plain,
ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true) = true,
inference(demodulation,[status(thm)],[c_322,c_49]) ).
cnf(c_512,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2),X2)) = true,
inference(demodulation,[status(thm)],[c_364,c_49]) ).
cnf(c_525,plain,
is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3),X3)) = true,
inference(demodulation,[status(thm)],[c_391,c_49]) ).
cnf(c_546,plain,
ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true) = true,
inference(demodulation,[status(thm)],[c_449,c_49]) ).
cnf(c_800,plain,
ifeq(true,true,ifeq(is_a_theorem(implies(not(X0),not(X1))),true,is_a_theorem(implies(X2,implies(X1,X0))),true),true) = true,
inference(superposition,[status(thm)],[c_504,c_50]) ).
cnf(c_889,plain,
ifeq(true,true,is_a_theorem(implies(not(not(X0)),implies(X1,X0))),true) = true,
inference(superposition,[status(thm)],[c_503,c_507]) ).
cnf(c_1304,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3),X3),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true) = true,
inference(superposition,[status(thm)],[c_525,c_50]) ).
cnf(c_1762,plain,
ifeq(true,true,is_a_theorem(implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1)))),true) = true,
inference(superposition,[status(thm)],[c_512,c_546]) ).
cnf(c_1950,plain,
is_a_theorem(implies(not(not(X0)),implies(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_889,c_49]) ).
cnf(c_1986,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1)))) = true,
inference(demodulation,[status(thm)],[c_1762,c_49]) ).
cnf(c_2016,plain,
ifeq(is_a_theorem(implies(not(X0),not(X1))),true,is_a_theorem(implies(X2,implies(X1,X0))),true) = true,
inference(demodulation,[status(thm)],[c_800,c_49]) ).
cnf(c_2253,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3),X3),X4)),true,is_a_theorem(X4),true) = true,
inference(demodulation,[status(thm)],[c_1304,c_49]) ).
cnf(c_3327,plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2))),true) = true,
inference(superposition,[status(thm)],[c_1950,c_155]) ).
cnf(c_4242,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2))) = true,
inference(demodulation,[status(thm)],[c_3327,c_49]) ).
cnf(c_5739,plain,
ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(not(X1),not(X2)))),true,is_a_theorem(implies(X0,implies(X2,X1))),true),true) = true,
inference(superposition,[status(thm)],[c_1986,c_50]) ).
cnf(c_6236,plain,
ifeq(is_a_theorem(implies(X0,implies(not(X1),not(X2)))),true,is_a_theorem(implies(X0,implies(X2,X1))),true) = true,
inference(demodulation,[status(thm)],[c_5739,c_49]) ).
cnf(c_44947,plain,
ifeq(true,true,is_a_theorem(implies(not(not(X0)),X0)),true) = true,
inference(superposition,[status(thm)],[c_4242,c_2253]) ).
cnf(c_45537,plain,
is_a_theorem(implies(not(not(X0)),X0)) = true,
inference(demodulation,[status(thm)],[c_44947,c_49]) ).
cnf(c_45831,plain,
ifeq(true,true,is_a_theorem(implies(X0,implies(X1,not(not(X1))))),true) = true,
inference(superposition,[status(thm)],[c_45537,c_2016]) ).
cnf(c_47461,plain,
is_a_theorem(implies(X0,implies(X1,not(not(X1))))) = true,
inference(demodulation,[status(thm)],[c_45831,c_49]) ).
cnf(c_52752,plain,
ifeq(true,true,is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1)),true) = true,
inference(superposition,[status(thm)],[c_47461,c_154]) ).
cnf(c_53229,plain,
is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1)) = true,
inference(demodulation,[status(thm)],[c_52752,c_49]) ).
cnf(c_90117,plain,
ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),true) = true,
inference(superposition,[status(thm)],[c_53229,c_546]) ).
cnf(c_90974,plain,
is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))) = true,
inference(demodulation,[status(thm)],[c_90117,c_49]) ).
cnf(c_170818,plain,
ifeq(true,true,is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),true) = true,
inference(superposition,[status(thm)],[c_90974,c_6236]) ).
cnf(c_172950,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))) = true,
inference(demodulation,[status(thm)],[c_170818,c_49]) ).
cnf(c_202025,plain,
$false,
inference(superposition,[status(thm)],[c_172950,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL113-10 : TPTP v8.2.0. Released v7.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jun 22 17:04:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.48 Running UEQ theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 152.45/20.26 % SZS status Started for theBenchmark.p
% 152.45/20.26 % SZS status Unsatisfiable for theBenchmark.p
% 152.45/20.26
% 152.45/20.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 152.45/20.26
% 152.45/20.26 ------ iProver source info
% 152.45/20.26
% 152.45/20.26 git: date: 2024-06-12 09:56:46 +0000
% 152.45/20.26 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 152.45/20.26 git: non_committed_changes: false
% 152.45/20.26
% 152.45/20.26 ------ Parsing...successful
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 152.45/20.26
% 152.45/20.26 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 152.45/20.26
% 152.45/20.26 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 152.45/20.26 ------ Proving...
% 152.45/20.26 ------ Problem Properties
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26 clauses 7
% 152.45/20.26 conjectures 1
% 152.45/20.26 EPR 0
% 152.45/20.26 Horn 7
% 152.45/20.26 unary 7
% 152.45/20.26 binary 0
% 152.45/20.26 lits 7
% 152.45/20.26 lits eq 7
% 152.45/20.26 fd_pure 0
% 152.45/20.26 fd_pseudo 0
% 152.45/20.26 fd_cond 0
% 152.45/20.26 fd_pseudo_cond 0
% 152.45/20.26 AC symbols 0
% 152.45/20.26
% 152.45/20.26 ------ Input Options Time Limit: Unbounded
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26 ------
% 152.45/20.26 Current options:
% 152.45/20.26 ------
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26 ------ Proving...
% 152.45/20.26
% 152.45/20.26
% 152.45/20.26 % SZS status Unsatisfiable for theBenchmark.p
% 152.45/20.26
% 152.45/20.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 152.45/20.26
% 152.45/20.26
%------------------------------------------------------------------------------