TSTP Solution File: REL013-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL013-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 02:56:37 EDT 2024
% Result : Unsatisfiable 7.63s 1.59s
% Output : CNFRefutation 7.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( composition(sk1,zero) != zero
| composition(zero,sk1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_51,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(c_52,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_53,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(c_54,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(c_55,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_56,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(c_57,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_58,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_59,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_60,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(c_61,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_62,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_76,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_52,c_51,c_50]) ).
cnf(c_77,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_60,c_51,c_50]) ).
cnf(c_112,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_76,c_53]) ).
cnf(c_113,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_112,c_51,c_50]) ).
cnf(c_122,plain,
composition(sk1,zero) = sP0_iProver_def,
definition ).
cnf(c_123,plain,
composition(zero,sk1) = sP1_iProver_def,
definition ).
cnf(c_124,negated_conjecture,
( sP0_iProver_def != zero
| sP1_iProver_def != zero ),
inference(demodulation,[status(thm)],[c_49,c_123,c_122]) ).
cnf(c_208,plain,
join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_57,c_77]) ).
cnf(c_216,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_61,c_53]) ).
cnf(c_224,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_216,c_62]) ).
cnf(c_233,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_234,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_240,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_57,c_59]) ).
cnf(c_247,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_255,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_224,c_77]) ).
cnf(c_416,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_836,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_61,c_233]) ).
cnf(c_980,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_55,c_240]) ).
cnf(c_1001,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_980,c_57]) ).
cnf(c_1034,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_1001,c_55]) ).
cnf(c_1043,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1001,c_416]) ).
cnf(c_1046,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1043,c_1001]) ).
cnf(c_1096,plain,
join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1046,c_208]) ).
cnf(c_1099,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1096,c_1034,c_1046]) ).
cnf(c_1258,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_224,c_1099]) ).
cnf(c_1265,plain,
join(meet(X0,complement(X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_1099,c_113]) ).
cnf(c_1266,plain,
join(complement(complement(X0)),meet(X0,complement(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_1265,c_51,c_50]) ).
cnf(c_1267,plain,
join(complement(complement(X0)),zero) = X0,
inference(light_normalisation,[status(thm)],[c_1266,c_62]) ).
cnf(c_1268,plain,
join(zero,complement(complement(X0))) = X0,
inference(theory_normalisation,[status(thm)],[c_1267,c_51,c_50]) ).
cnf(c_1276,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1258,c_51]) ).
cnf(c_1456,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1268,c_1276]) ).
cnf(c_1460,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_1268,c_1456]) ).
cnf(c_1484,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_1099,c_247]) ).
cnf(c_1496,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_1484,c_61]) ).
cnf(c_1528,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_1456,c_50]) ).
cnf(c_1531,plain,
join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1456,c_234]) ).
cnf(c_1536,plain,
join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1531,c_57]) ).
cnf(c_1673,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_1460,c_1496]) ).
cnf(c_1690,plain,
join(X0,top) = top,
inference(superposition,[status(thm)],[c_1673,c_50]) ).
cnf(c_1693,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_1673,c_836]) ).
cnf(c_1757,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_1536,c_1528]) ).
cnf(c_1781,plain,
composition(converse(X0),zero) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_1757,c_59]) ).
cnf(c_2047,plain,
composition(converse(sk1),zero) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_123,c_1781]) ).
cnf(c_2705,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_255,c_1456]) ).
cnf(c_2712,plain,
composition(top,complement(composition(top,top))) = zero,
inference(superposition,[status(thm)],[c_1693,c_2705]) ).
cnf(c_3005,plain,
composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[status(thm)],[c_2712,c_56]) ).
cnf(c_3012,plain,
composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(theory_normalisation,[status(thm)],[c_3005,c_51,c_50]) ).
cnf(c_3013,plain,
join(zero,composition(X0,complement(composition(top,top)))) = zero,
inference(light_normalisation,[status(thm)],[c_3012,c_1690,c_2712]) ).
cnf(c_7642,plain,
composition(X0,complement(composition(top,top))) = zero,
inference(demodulation,[status(thm)],[c_3013,c_1456]) ).
cnf(c_7660,plain,
complement(composition(top,top)) = zero,
inference(superposition,[status(thm)],[c_7642,c_1046]) ).
cnf(c_7676,plain,
composition(X0,zero) = zero,
inference(demodulation,[status(thm)],[c_7642,c_7660]) ).
cnf(c_7691,plain,
zero = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_122,c_7676]) ).
cnf(c_7694,plain,
converse(sP1_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_2047,c_7676]) ).
cnf(c_7711,plain,
converse(sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1757,c_7691]) ).
cnf(c_7722,plain,
( sP0_iProver_def != sP0_iProver_def
| sP0_iProver_def != sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_124,c_7691]) ).
cnf(c_7723,plain,
sP0_iProver_def != sP1_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_7722]) ).
cnf(c_7753,plain,
converse(sP1_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_7694,c_7691]) ).
cnf(c_7767,plain,
converse(sP0_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_7753,c_57]) ).
cnf(c_7776,plain,
sP0_iProver_def = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_7767,c_7711]) ).
cnf(c_7777,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7776,c_7723]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : REL013-1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 20:17:36 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.63/1.59 % SZS status Started for theBenchmark.p
% 7.63/1.59 % SZS status Unsatisfiable for theBenchmark.p
% 7.63/1.59
% 7.63/1.59 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.63/1.59
% 7.63/1.59 ------ iProver source info
% 7.63/1.59
% 7.63/1.59 git: date: 2024-05-02 19:28:25 +0000
% 7.63/1.59 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.63/1.59 git: non_committed_changes: false
% 7.63/1.59
% 7.63/1.59 ------ Parsing...successful
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.63/1.59
% 7.63/1.59 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.63/1.59
% 7.63/1.59 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.63/1.59 ------ Proving...
% 7.63/1.59 ------ Problem Properties
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59 clauses 16
% 7.63/1.59 conjectures 1
% 7.63/1.59 EPR 1
% 7.63/1.59 Horn 16
% 7.63/1.59 unary 15
% 7.63/1.59 binary 1
% 7.63/1.59 lits 17
% 7.63/1.59 lits eq 17
% 7.63/1.59 fd_pure 0
% 7.63/1.59 fd_pseudo 0
% 7.63/1.59 fd_cond 0
% 7.63/1.59 fd_pseudo_cond 0
% 7.63/1.59 AC symbols 1
% 7.63/1.59
% 7.63/1.59 ------ Schedule dynamic 5 is on
% 7.63/1.59
% 7.63/1.59 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59 ------
% 7.63/1.59 Current options:
% 7.63/1.59 ------
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59 ------ Proving...
% 7.63/1.59
% 7.63/1.59
% 7.63/1.59 % SZS status Unsatisfiable for theBenchmark.p
% 7.63/1.59
% 7.63/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.63/1.59
% 7.63/1.60
%------------------------------------------------------------------------------