TSTP Solution File: LAT043-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT043-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Thu Aug 31 06:16:33 EDT 2023
% Result : Unsatisfiable 11.92s 2.14s
% Output : CNFRefutation 11.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 13
% Syntax : Number of clauses : 87 ( 87 unt; 0 nHn; 4 RR)
% Number of literals : 87 ( 86 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 164 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity) ).
cnf(c_50,plain,
join(complement(X0),X0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability1) ).
cnf(c_51,plain,
meet(complement(X0),X0) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability2) ).
cnf(c_52,plain,
complement(complement(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability3) ).
cnf(c_53,negated_conjecture,
meet(complement(c),complement(d)) != complement(join(c,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatability_law) ).
cnf(c_54,plain,
meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(c_55,plain,
join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
cnf(c_56,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_57,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_58,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_59,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(c_60,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(c_61,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(c_74,plain,
join(X0,complement(X0)) = n1,
inference(theory_normalisation,[status(thm)],[c_50,c_60,c_58,c_61,c_59]) ).
cnf(c_75,plain,
meet(X0,complement(X0)) = n0,
inference(theory_normalisation,[status(thm)],[c_51,c_60,c_58,c_61,c_59]) ).
cnf(c_177,plain,
meet(X0,n1) = X0,
inference(superposition,[status(thm)],[c_74,c_56]) ).
cnf(c_181,plain,
join(X0,n0) = X0,
inference(superposition,[status(thm)],[c_75,c_57]) ).
cnf(c_190,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_58,c_57]) ).
cnf(c_191,plain,
meet(n1,X0) = X0,
inference(superposition,[status(thm)],[c_58,c_177]) ).
cnf(c_198,plain,
join(n0,X0) = X0,
inference(superposition,[status(thm)],[c_59,c_181]) ).
cnf(c_204,plain,
meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_54,c_60]) ).
cnf(c_226,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_55,c_61]) ).
cnf(c_227,plain,
join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_57,c_61]) ).
cnf(c_233,plain,
join(X0,join(X1,complement(join(X0,X1)))) = n1,
inference(superposition,[status(thm)],[c_61,c_74]) ).
cnf(c_250,plain,
join(n1,X0) = n1,
inference(superposition,[status(thm)],[c_191,c_57]) ).
cnf(c_253,plain,
complement(n1) = n0,
inference(superposition,[status(thm)],[c_191,c_75]) ).
cnf(c_269,plain,
meet(n0,X0) = n0,
inference(superposition,[status(thm)],[c_198,c_56]) ).
cnf(c_279,plain,
join(X0,n1) = n1,
inference(superposition,[status(thm)],[c_250,c_59]) ).
cnf(c_290,plain,
meet(X0,join(complement(X0),X1)) = join(n0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_75,c_49]) ).
cnf(c_305,plain,
join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X2,X1)),
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_338,plain,
meet(X0,n0) = n0,
inference(superposition,[status(thm)],[c_269,c_58]) ).
cnf(c_358,plain,
join(n0,meet(X0,X1)) = meet(X0,join(n0,X1)),
inference(superposition,[status(thm)],[c_338,c_49]) ).
cnf(c_377,plain,
join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[status(thm)],[c_60,c_190]) ).
cnf(c_384,plain,
join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_190,c_61]) ).
cnf(c_434,plain,
join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[status(thm)],[c_204,c_49]) ).
cnf(c_444,plain,
meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X2,X1)),
inference(light_normalisation,[status(thm)],[c_434,c_305]) ).
cnf(c_455,plain,
join(X0,join(X1,X0)) = join(X1,X0),
inference(superposition,[status(thm)],[c_59,c_226]) ).
cnf(c_529,plain,
join(join(X0,X1),meet(X2,X0)) = join(X0,X1),
inference(superposition,[status(thm)],[c_56,c_377]) ).
cnf(c_551,plain,
join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(theory_normalisation,[status(thm)],[c_529,c_61,c_59,c_60,c_58]) ).
cnf(c_2611,plain,
join(X0,complement(meet(X0,X1))) = join(X0,n1),
inference(superposition,[status(thm)],[c_74,c_227]) ).
cnf(c_2691,plain,
join(X0,complement(meet(X0,X1))) = n1,
inference(light_normalisation,[status(thm)],[c_2611,c_279]) ).
cnf(c_2740,plain,
join(X0,complement(meet(X1,X0))) = n1,
inference(superposition,[status(thm)],[c_58,c_2691]) ).
cnf(c_3074,plain,
join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_49,c_384]) ).
cnf(c_3794,plain,
join(X0,meet(X1,join(X2,X0))) = join(X0,meet(X1,X2)),
inference(superposition,[status(thm)],[c_49,c_551]) ).
cnf(c_5973,plain,
meet(X0,join(complement(X0),X1)) = meet(X0,join(n0,X1)),
inference(light_normalisation,[status(thm)],[c_290,c_358]) ).
cnf(c_6009,plain,
meet(X0,join(n0,complement(meet(X1,complement(X0))))) = meet(X0,n1),
inference(superposition,[status(thm)],[c_2740,c_5973]) ).
cnf(c_6069,plain,
meet(X0,join(n0,complement(meet(X1,complement(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_6009,c_177]) ).
cnf(c_12058,plain,
meet(complement(X0),join(n0,complement(meet(X1,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_52,c_6069]) ).
cnf(c_12177,plain,
meet(complement(X0),complement(meet(X1,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_198,c_12058]) ).
cnf(c_13796,plain,
meet(complement(join(X0,X1)),complement(X0)) = complement(join(X0,X1)),
inference(superposition,[status(thm)],[c_56,c_12177]) ).
cnf(c_13924,plain,
meet(complement(X0),complement(join(X0,X1))) = complement(join(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_13796,c_61,c_59,c_60,c_58]) ).
cnf(c_15360,plain,
join(complement(X0),complement(join(X0,X1))) = complement(X0),
inference(superposition,[status(thm)],[c_13924,c_57]) ).
cnf(c_15478,plain,
join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[status(thm)],[c_52,c_15360]) ).
cnf(c_15485,plain,
join(complement(X0),complement(join(X1,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_59,c_15360]) ).
cnf(c_15639,plain,
join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_59,c_15478]) ).
cnf(c_15803,plain,
join(meet(X0,X1),complement(n1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_2691,c_15639]) ).
cnf(c_15887,plain,
join(complement(n1),meet(X0,X1)) = meet(X0,X1),
inference(theory_normalisation,[status(thm)],[c_15803,c_61,c_59,c_60,c_58]) ).
cnf(c_15888,plain,
meet(X0,join(n0,X1)) = meet(X0,X1),
inference(light_normalisation,[status(thm)],[c_15887,c_253,c_358]) ).
cnf(c_15910,plain,
meet(X0,join(complement(X0),X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[c_5973,c_15888]) ).
cnf(c_17226,plain,
meet(X0,join(X1,complement(join(complement(X0),X1)))) = meet(X0,n1),
inference(superposition,[status(thm)],[c_233,c_15910]) ).
cnf(c_17374,plain,
meet(X0,join(X1,complement(join(complement(X0),X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_17226,c_177]) ).
cnf(c_21143,plain,
join(meet(n1,X0),X1) = meet(n1,join(X1,X0)),
inference(superposition,[status(thm)],[c_444,c_191]) ).
cnf(c_21188,plain,
meet(n1,join(X0,X1)) = join(X1,X0),
inference(light_normalisation,[status(thm)],[c_21143,c_191]) ).
cnf(c_26270,plain,
meet(X0,join(X1,complement(join(X1,complement(X0))))) = X0,
inference(superposition,[status(thm)],[c_59,c_17374]) ).
cnf(c_28017,plain,
join(X0,meet(X1,complement(X0))) = join(X0,meet(X1,n1)),
inference(superposition,[status(thm)],[c_74,c_3074]) ).
cnf(c_28376,plain,
join(X0,meet(complement(X0),X1)) = join(X0,meet(X1,n1)),
inference(superposition,[status(thm)],[c_58,c_28017]) ).
cnf(c_28831,plain,
join(X0,meet(join(X0,X1),n1)) = join(X0,meet(complement(X0),X1)),
inference(superposition,[status(thm)],[c_28376,c_3074]) ).
cnf(c_28874,plain,
join(X0,meet(n1,join(X0,X1))) = join(X0,meet(complement(X0),X1)),
inference(theory_normalisation,[status(thm)],[c_28831,c_61,c_59,c_60,c_58]) ).
cnf(c_28875,plain,
join(X0,meet(X1,n1)) = join(X1,X0),
inference(light_normalisation,[status(thm)],[c_28874,c_455,c_21188,c_28376]) ).
cnf(c_29029,plain,
join(X0,meet(X1,complement(X0))) = join(X1,X0),
inference(demodulation,[status(thm)],[c_28017,c_28875]) ).
cnf(c_29601,plain,
join(complement(join(X0,complement(X1))),meet(X1,X0)) = join(complement(join(X0,complement(X1))),X1),
inference(superposition,[status(thm)],[c_26270,c_3794]) ).
cnf(c_29767,plain,
join(meet(X0,X1),complement(join(X1,complement(X0)))) = join(X0,complement(join(X1,complement(X0)))),
inference(theory_normalisation,[status(thm)],[c_29601,c_61,c_59,c_60,c_58]) ).
cnf(c_29768,plain,
join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_29767,c_15639]) ).
cnf(c_31169,plain,
join(complement(meet(X0,complement(X1))),complement(join(X0,X1))) = complement(meet(X0,complement(X1))),
inference(superposition,[status(thm)],[c_29029,c_15485]) ).
cnf(c_31271,plain,
join(complement(join(X0,X1)),complement(meet(X0,complement(X1)))) = complement(meet(X0,complement(X1))),
inference(theory_normalisation,[status(thm)],[c_31169,c_61,c_59,c_60,c_58]) ).
cnf(c_38951,plain,
join(meet(X0,X1),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[status(thm)],[c_58,c_29768]) ).
cnf(c_39522,plain,
join(meet(X0,complement(X1)),complement(join(X0,X1))) = complement(X1),
inference(superposition,[status(thm)],[c_52,c_38951]) ).
cnf(c_39990,plain,
join(X0,complement(join(X0,X1))) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_39522,c_227]) ).
cnf(c_44361,plain,
join(X0,complement(join(X1,X0))) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_59,c_39990]) ).
cnf(c_44792,plain,
join(complement(join(X0,X1)),complement(meet(X0,complement(X1)))) = join(complement(join(X0,X1)),complement(complement(X1))),
inference(superposition,[status(thm)],[c_39522,c_44361]) ).
cnf(c_44964,plain,
join(complement(join(X0,X1)),complement(meet(X0,complement(X1)))) = join(complement(complement(X1)),complement(join(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_44792,c_61,c_59,c_60,c_58]) ).
cnf(c_44965,plain,
join(complement(complement(X0)),complement(join(X1,X0))) = complement(meet(X1,complement(X0))),
inference(light_normalisation,[status(thm)],[c_44964,c_31271]) ).
cnf(c_44966,plain,
complement(meet(X0,complement(X1))) = join(X1,complement(X0)),
inference(light_normalisation,[status(thm)],[c_44965,c_52,c_44361]) ).
cnf(c_46178,plain,
complement(join(X0,complement(X1))) = meet(X1,complement(X0)),
inference(superposition,[status(thm)],[c_44966,c_52]) ).
cnf(c_46772,plain,
meet(complement(X0),complement(X1)) = complement(join(X1,X0)),
inference(superposition,[status(thm)],[c_52,c_46178]) ).
cnf(c_46959,plain,
complement(join(c,d)) != complement(join(d,c)),
inference(demodulation,[status(thm)],[c_53,c_46772]) ).
cnf(c_46960,plain,
$false,
inference(theory_normalisation,[status(thm)],[c_46959,c_61,c_59,c_60,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT043-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n027.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 : Thu Aug 24 05:34:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.92/2.14 % SZS status Started for theBenchmark.p
% 11.92/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 11.92/2.14
% 11.92/2.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.92/2.14
% 11.92/2.14 ------ iProver source info
% 11.92/2.14
% 11.92/2.14 git: date: 2023-05-31 18:12:56 +0000
% 11.92/2.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.92/2.14 git: non_committed_changes: false
% 11.92/2.14 git: last_make_outside_of_git: false
% 11.92/2.14
% 11.92/2.14 ------ Parsing...successful
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 11.92/2.14
% 11.92/2.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.92/2.14
% 11.92/2.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.92/2.14 ------ Proving...
% 11.92/2.14 ------ Problem Properties
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14 clauses 13
% 11.92/2.14 conjectures 1
% 11.92/2.14 EPR 0
% 11.92/2.14 Horn 13
% 11.92/2.14 unary 13
% 11.92/2.14 binary 0
% 11.92/2.14 lits 13
% 11.92/2.14 lits eq 13
% 11.92/2.14 fd_pure 0
% 11.92/2.14 fd_pseudo 0
% 11.92/2.14 fd_cond 0
% 11.92/2.14 fd_pseudo_cond 0
% 11.92/2.14 AC symbols 2
% 11.92/2.14
% 11.92/2.14 ------ Input Options Time Limit: Unbounded
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14 ------
% 11.92/2.14 Current options:
% 11.92/2.14 ------
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14 ------ Proving...
% 11.92/2.14
% 11.92/2.14
% 11.92/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 11.92/2.14
% 11.92/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.92/2.14
% 11.92/2.15
%------------------------------------------------------------------------------