TSTP Solution File: LAT235-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT235-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Fri May 3 02:34:52 EDT 2024
% Result : Unsatisfiable 17.77s 3.19s
% Output : CNFRefutation 17.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
meet(X0,join(X1,meet(X2,join(X1,meet(X3,join(X1,X2)))))) = meet(X0,join(X1,meet(X2,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H34) ).
cnf(c_50,plain,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
cnf(c_51,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(c_52,plain,
join(X0,complement(X0)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-4.ax',complement_join) ).
cnf(c_53,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-4.ax',complement_meet) ).
cnf(c_54,plain,
( meet(X0,X1) != zero
| join(X0,X1) != one
| complement(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-4.ax',meet_join_complement) ).
cnf(c_55,plain,
meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(c_57,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_58,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_59,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_60,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(c_61,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(c_62,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(c_75,plain,
meet(a,b) = a,
inference(theory_normalisation,[status(thm)],[c_50,c_62,c_60,c_61,c_59]) ).
cnf(c_76,negated_conjecture,
join(complement(a),complement(b)) != complement(a),
inference(theory_normalisation,[status(thm)],[c_51,c_62,c_60,c_61,c_59]) ).
cnf(c_117,plain,
complement(a) = sP0_iProver_def,
definition ).
cnf(c_118,plain,
complement(b) = sP1_iProver_def,
definition ).
cnf(c_119,plain,
join(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_120,negated_conjecture,
sP2_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_76,c_118,c_117,c_119]) ).
cnf(c_190,plain,
meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_61,c_59]) ).
cnf(c_191,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_62,c_60]) ).
cnf(c_197,plain,
join(a,sP0_iProver_def) = one,
inference(superposition,[status(thm)],[c_117,c_52]) ).
cnf(c_198,plain,
join(sP0_iProver_def,a) = one,
inference(theory_normalisation,[status(thm)],[c_197,c_61,c_59,c_62,c_60]) ).
cnf(c_207,plain,
join(sP0_iProver_def,join(X0,sP1_iProver_def)) = join(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_119,c_191]) ).
cnf(c_218,plain,
meet(a,sP0_iProver_def) = zero,
inference(superposition,[status(thm)],[c_117,c_53]) ).
cnf(c_219,plain,
meet(sP0_iProver_def,a) = zero,
inference(theory_normalisation,[status(thm)],[c_218,c_61,c_59,c_62,c_60]) ).
cnf(c_221,plain,
meet(X0,one) = X0,
inference(superposition,[status(thm)],[c_52,c_57]) ).
cnf(c_228,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_53,c_58]) ).
cnf(c_234,plain,
join(X0,join(X1,meet(X0,X2))) = join(X1,X0),
inference(superposition,[status(thm)],[c_58,c_191]) ).
cnf(c_240,plain,
meet(sP0_iProver_def,one) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_198,c_57]) ).
cnf(c_247,plain,
join(sP0_iProver_def,zero) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_219,c_58]) ).
cnf(c_261,plain,
meet(one,X0) = X0,
inference(superposition,[status(thm)],[c_221,c_59]) ).
cnf(c_274,plain,
join(one,X0) = one,
inference(superposition,[status(thm)],[c_261,c_58]) ).
cnf(c_300,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_60,c_57]) ).
cnf(c_302,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_60,c_228]) ).
cnf(c_310,plain,
meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_55,c_61]) ).
cnf(c_311,plain,
meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[c_57,c_61]) ).
cnf(c_312,plain,
meet(a,meet(b,X0)) = meet(a,X0),
inference(superposition,[status(thm)],[c_75,c_61]) ).
cnf(c_369,plain,
join(sP0_iProver_def,join(a,X0)) = join(one,X0),
inference(superposition,[status(thm)],[c_198,c_62]) ).
cnf(c_381,plain,
join(sP0_iProver_def,join(a,X0)) = one,
inference(light_normalisation,[status(thm)],[c_369,c_274]) ).
cnf(c_423,plain,
( meet(X0,X1) != zero
| join(X1,X0) != one
| complement(X1) = X0 ),
inference(superposition,[status(thm)],[c_59,c_54]) ).
cnf(c_426,plain,
( join(sP0_iProver_def,a) != one
| complement(sP0_iProver_def) = a ),
inference(superposition,[status(thm)],[c_219,c_54]) ).
cnf(c_432,plain,
complement(sP0_iProver_def) = a,
inference(forward_subsumption_resolution,[status(thm)],[c_426,c_198]) ).
cnf(c_524,plain,
meet(zero,X0) = zero,
inference(superposition,[status(thm)],[c_302,c_57]) ).
cnf(c_567,plain,
meet(X0,zero) = zero,
inference(superposition,[status(thm)],[c_524,c_59]) ).
cnf(c_667,plain,
meet(X0,join(X1,meet(complement(X1),join(X1,meet(X2,one))))) = meet(X0,join(X1,meet(complement(X1),X2))),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_873,plain,
meet(X0,meet(join(X1,X0),X2)) = meet(X0,X2),
inference(superposition,[status(thm)],[c_300,c_61]) ).
cnf(c_1148,plain,
join(a,sP2_iProver_def) = one,
inference(superposition,[status(thm)],[c_207,c_381]) ).
cnf(c_1151,plain,
join(sP2_iProver_def,a) = one,
inference(theory_normalisation,[status(thm)],[c_1148,c_61,c_59,c_62,c_60]) ).
cnf(c_1768,plain,
meet(a,complement(b)) = meet(a,zero),
inference(superposition,[status(thm)],[c_53,c_312]) ).
cnf(c_1781,plain,
meet(a,zero) = meet(a,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_1768,c_118]) ).
cnf(c_1782,plain,
meet(a,zero) = meet(sP1_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_1781,c_61,c_59,c_62,c_60]) ).
cnf(c_1795,plain,
meet(sP1_iProver_def,a) = zero,
inference(demodulation,[status(thm)],[c_1782,c_567]) ).
cnf(c_6028,plain,
meet(X0,complement(join(X0,X1))) = meet(X0,zero),
inference(superposition,[status(thm)],[c_53,c_311]) ).
cnf(c_6172,plain,
meet(X0,complement(join(X0,X1))) = zero,
inference(light_normalisation,[status(thm)],[c_6028,c_567]) ).
cnf(c_6228,plain,
meet(X0,complement(join(X1,X0))) = zero,
inference(superposition,[status(thm)],[c_234,c_6172]) ).
cnf(c_6636,plain,
meet(X0,complement(join(X1,join(X2,X0)))) = zero,
inference(superposition,[status(thm)],[c_62,c_6228]) ).
cnf(c_9446,plain,
meet(meet(X0,X1),complement(join(X2,X0))) = zero,
inference(superposition,[status(thm)],[c_58,c_6636]) ).
cnf(c_9609,plain,
meet(X0,meet(X1,complement(join(X2,X0)))) = zero,
inference(theory_normalisation,[status(thm)],[c_9446,c_61,c_59,c_62,c_60]) ).
cnf(c_14706,plain,
meet(a,meet(X0,b)) = meet(X0,a),
inference(superposition,[status(thm)],[c_75,c_190]) ).
cnf(c_16050,plain,
meet(a,meet(X0,a)) = meet(X0,a),
inference(superposition,[status(thm)],[c_14706,c_310]) ).
cnf(c_81351,plain,
meet(X0,join(X1,meet(complement(X1),join(X1,X2)))) = meet(X0,join(X1,meet(complement(X1),X2))),
inference(demodulation,[status(thm)],[c_667,c_221]) ).
cnf(c_81388,plain,
meet(X0,join(sP0_iProver_def,meet(complement(sP0_iProver_def),sP1_iProver_def))) = meet(X0,join(sP0_iProver_def,meet(complement(sP0_iProver_def),sP2_iProver_def))),
inference(superposition,[status(thm)],[c_119,c_81351]) ).
cnf(c_81739,plain,
meet(X0,join(sP0_iProver_def,meet(sP1_iProver_def,complement(sP0_iProver_def)))) = meet(X0,join(sP0_iProver_def,meet(sP2_iProver_def,complement(sP0_iProver_def)))),
inference(theory_normalisation,[status(thm)],[c_81388,c_61,c_59,c_62,c_60]) ).
cnf(c_81740,plain,
meet(X0,join(sP0_iProver_def,meet(sP2_iProver_def,a))) = meet(X0,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_81739,c_247,c_432,c_1795]) ).
cnf(c_86459,plain,
join(sP0_iProver_def,meet(sP2_iProver_def,a)) = meet(one,sP0_iProver_def),
inference(superposition,[status(thm)],[c_81740,c_261]) ).
cnf(c_86618,plain,
join(sP0_iProver_def,meet(sP2_iProver_def,a)) = meet(sP0_iProver_def,one),
inference(theory_normalisation,[status(thm)],[c_86459,c_61,c_59,c_62,c_60]) ).
cnf(c_86619,plain,
join(sP0_iProver_def,meet(sP2_iProver_def,a)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_86618,c_240]) ).
cnf(c_86881,plain,
meet(meet(sP2_iProver_def,a),meet(X0,complement(sP0_iProver_def))) = zero,
inference(superposition,[status(thm)],[c_86619,c_9609]) ).
cnf(c_86902,plain,
meet(sP2_iProver_def,meet(a,meet(X0,complement(sP0_iProver_def)))) = zero,
inference(theory_normalisation,[status(thm)],[c_86881,c_61,c_59,c_62,c_60]) ).
cnf(c_86903,plain,
meet(sP2_iProver_def,meet(X0,a)) = zero,
inference(light_normalisation,[status(thm)],[c_86902,c_432,c_16050]) ).
cnf(c_87346,plain,
meet(sP2_iProver_def,a) = zero,
inference(superposition,[status(thm)],[c_86903,c_873]) ).
cnf(c_87472,plain,
( join(a,sP2_iProver_def) != one
| complement(a) = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_87346,c_423]) ).
cnf(c_87616,plain,
( join(sP2_iProver_def,a) != one
| complement(a) = sP2_iProver_def ),
inference(theory_normalisation,[status(thm)],[c_87472,c_61,c_59,c_62,c_60]) ).
cnf(c_87617,plain,
( join(sP2_iProver_def,a) != one
| sP0_iProver_def = sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_87616,c_117]) ).
cnf(c_87618,plain,
sP0_iProver_def = sP2_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_87617,c_1151]) ).
cnf(c_87809,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_120,c_87618]) ).
cnf(c_87810,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_87809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT235-1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 17:56:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.77/3.19 % SZS status Started for theBenchmark.p
% 17.77/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 17.77/3.19
% 17.77/3.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.77/3.19
% 17.77/3.19 ------ iProver source info
% 17.77/3.19
% 17.77/3.19 git: date: 2024-05-02 19:28:25 +0000
% 17.77/3.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.77/3.19 git: non_committed_changes: false
% 17.77/3.19
% 17.77/3.19 ------ Parsing...successful
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 17.77/3.19
% 17.77/3.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.77/3.19
% 17.77/3.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.77/3.19 ------ Proving...
% 17.77/3.19 ------ Problem Properties
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19 clauses 17
% 17.77/3.19 conjectures 1
% 17.77/3.19 EPR 1
% 17.77/3.19 Horn 17
% 17.77/3.19 unary 16
% 17.77/3.19 binary 0
% 17.77/3.19 lits 19
% 17.77/3.19 lits eq 19
% 17.77/3.19 fd_pure 0
% 17.77/3.19 fd_pseudo 0
% 17.77/3.19 fd_cond 0
% 17.77/3.19 fd_pseudo_cond 1
% 17.77/3.19 AC symbols 2
% 17.77/3.19
% 17.77/3.19 ------ Schedule dynamic 5 is on
% 17.77/3.19
% 17.77/3.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19 ------
% 17.77/3.19 Current options:
% 17.77/3.19 ------
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19 ------ Proving...
% 17.77/3.19
% 17.77/3.19
% 17.77/3.19 % SZS status Unsatisfiable for theBenchmark.p
% 17.77/3.19
% 17.77/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.87/3.19
% 17.87/3.20
%------------------------------------------------------------------------------