TSTP Solution File: REL050-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL050-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 13:56:22 EDT 2024
% Result : Unsatisfiable 7.67s 1.64s
% Output : CNFRefutation 7.67s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
composition(complement(composition(sk1,top)),top) != complement(composition(sk1,top)),
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_108,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(demodulation,[status(thm)],[c_76,c_50,c_53]) ).
cnf(c_117,plain,
composition(sk1,top) = sP0_iProver_def,
definition ).
cnf(c_118,plain,
complement(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_119,plain,
composition(sP1_iProver_def,top) = sP2_iProver_def,
definition ).
cnf(c_120,negated_conjecture,
sP2_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_117,c_118,c_119]) ).
cnf(c_202,plain,
join(sP0_iProver_def,sP1_iProver_def) = top,
inference(superposition,[status(thm)],[c_118,c_61]) ).
cnf(c_203,plain,
meet(sP0_iProver_def,sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_118,c_62]) ).
cnf(c_204,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_206,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_61,c_53]) ).
cnf(c_208,plain,
complement(join(sP1_iProver_def,complement(X0))) = meet(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_118,c_53]) ).
cnf(c_210,plain,
complement(join(complement(X0),sP1_iProver_def)) = meet(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_118,c_53]) ).
cnf(c_215,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_206,c_62]) ).
cnf(c_216,plain,
complement(join(sP1_iProver_def,complement(X0))) = meet(X0,sP0_iProver_def),
inference(theory_normalisation,[status(thm)],[c_210,c_51,c_50]) ).
cnf(c_226,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_227,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_233,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_57,c_59]) ).
cnf(c_236,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(superposition,[status(thm)],[c_215,c_53]) ).
cnf(c_238,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_215,c_61]) ).
cnf(c_239,plain,
complement(join(complement(X0),zero)) = meet(X0,top),
inference(superposition,[status(thm)],[c_215,c_53]) ).
cnf(c_240,plain,
complement(join(zero,complement(X0))) = meet(X0,top),
inference(theory_normalisation,[status(thm)],[c_239,c_51,c_50]) ).
cnf(c_244,plain,
complement(join(sP1_iProver_def,zero)) = meet(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_215,c_208]) ).
cnf(c_245,plain,
complement(join(sP1_iProver_def,sP1_iProver_def)) = meet(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_118,c_208]) ).
cnf(c_271,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_202,c_51]) ).
cnf(c_272,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_238,c_51]) ).
cnf(c_273,plain,
join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_51,c_61]) ).
cnf(c_280,plain,
composition(sk1,composition(top,X0)) = composition(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_117,c_54]) ).
cnf(c_281,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_283,plain,
composition(sP1_iProver_def,composition(top,X0)) = composition(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_119,c_54]) ).
cnf(c_290,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_62,c_108]) ).
cnf(c_291,plain,
join(zero,complement(join(complement(sP0_iProver_def),sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_203,c_108]) ).
cnf(c_293,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_53,c_108]) ).
cnf(c_296,plain,
join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_61,c_108]) ).
cnf(c_305,plain,
join(zero,complement(join(sP1_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_291,c_51,c_50]) ).
cnf(c_306,plain,
join(zero,meet(sP0_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_305,c_118,c_245]) ).
cnf(c_307,plain,
join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_296,c_51,c_50]) ).
cnf(c_308,plain,
join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_307,c_215]) ).
cnf(c_309,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_293,c_51,c_50]) ).
cnf(c_366,plain,
meet(sP1_iProver_def,sP0_iProver_def) = complement(top),
inference(superposition,[status(thm)],[c_61,c_216]) ).
cnf(c_382,plain,
meet(sP1_iProver_def,sP0_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_366,c_215]) ).
cnf(c_397,plain,
join(zero,complement(join(complement(sP1_iProver_def),sP0_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_382,c_108]) ).
cnf(c_398,plain,
join(zero,complement(join(sP0_iProver_def,complement(sP1_iProver_def)))) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_397,c_51,c_50]) ).
cnf(c_401,plain,
join(sP1_iProver_def,composition(converse(X0),complement(composition(X0,sP0_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_118,c_77]) ).
cnf(c_472,plain,
meet(zero,top) = complement(top),
inference(superposition,[status(thm)],[c_61,c_240]) ).
cnf(c_492,plain,
meet(X0,top) = meet(top,X0),
inference(superposition,[status(thm)],[c_240,c_236]) ).
cnf(c_493,plain,
meet(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_472,c_215]) ).
cnf(c_504,plain,
join(zero,complement(join(complement(zero),top))) = zero,
inference(superposition,[status(thm)],[c_493,c_108]) ).
cnf(c_505,plain,
join(zero,complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_504,c_51,c_50]) ).
cnf(c_525,plain,
join(top,complement(sP1_iProver_def)) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_61,c_271]) ).
cnf(c_571,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_61,c_272]) ).
cnf(c_667,plain,
join(zero,complement(join(top,top))) = zero,
inference(light_normalisation,[status(thm)],[c_505,c_571]) ).
cnf(c_669,plain,
meet(join(top,top),top) = complement(zero),
inference(superposition,[status(thm)],[c_667,c_240]) ).
cnf(c_671,plain,
join(top,complement(join(top,top))) = join(top,zero),
inference(superposition,[status(thm)],[c_667,c_272]) ).
cnf(c_672,plain,
join(top,complement(join(top,top))) = top,
inference(light_normalisation,[status(thm)],[c_671,c_238]) ).
cnf(c_675,plain,
join(complement(zero),complement(join(complement(join(top,top)),top))) = join(top,top),
inference(superposition,[status(thm)],[c_669,c_108]) ).
cnf(c_677,plain,
join(complement(zero),complement(join(top,complement(join(top,top))))) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_675,c_51,c_50]) ).
cnf(c_678,plain,
join(complement(zero),zero) = join(top,top),
inference(light_normalisation,[status(thm)],[c_677,c_215,c_672]) ).
cnf(c_679,plain,
join(zero,complement(zero)) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_678,c_51,c_50]) ).
cnf(c_715,plain,
join(top,top) = top,
inference(superposition,[status(thm)],[c_679,c_61]) ).
cnf(c_728,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_667,c_715]) ).
cnf(c_730,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_728,c_215]) ).
cnf(c_739,plain,
join(top,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_715,c_51]) ).
cnf(c_740,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_730,c_51]) ).
cnf(c_766,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_308,c_740]) ).
cnf(c_778,plain,
complement(complement(X0)) = meet(top,X0),
inference(demodulation,[status(thm)],[c_236,c_766]) ).
cnf(c_781,plain,
meet(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_306,c_766]) ).
cnf(c_783,plain,
complement(join(sP0_iProver_def,complement(sP1_iProver_def))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_398,c_766]) ).
cnf(c_791,plain,
complement(join(sP1_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_245,c_781]) ).
cnf(c_793,plain,
complement(complement(X0)) = meet(X0,top),
inference(demodulation,[status(thm)],[c_492,c_778]) ).
cnf(c_797,plain,
complement(join(sP1_iProver_def,zero)) = complement(complement(sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_244,c_793]) ).
cnf(c_799,plain,
complement(join(sP1_iProver_def,zero)) = complement(sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_797,c_118]) ).
cnf(c_808,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_766,c_50]) ).
cnf(c_810,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_766,c_61]) ).
cnf(c_820,plain,
complement(join(top,complement(X0))) = meet(zero,X0),
inference(superposition,[status(thm)],[c_810,c_53]) ).
cnf(c_823,plain,
complement(join(complement(X0),top)) = meet(X0,zero),
inference(superposition,[status(thm)],[c_810,c_53]) ).
cnf(c_824,plain,
complement(join(top,complement(X0))) = meet(X0,zero),
inference(theory_normalisation,[status(thm)],[c_823,c_51,c_50]) ).
cnf(c_889,plain,
complement(join(sP0_iProver_def,top)) = meet(sP1_iProver_def,zero),
inference(superposition,[status(thm)],[c_525,c_824]) ).
cnf(c_945,plain,
meet(zero,join(sP1_iProver_def,sP1_iProver_def)) = complement(join(top,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_791,c_820]) ).
cnf(c_959,plain,
meet(zero,join(sP1_iProver_def,sP1_iProver_def)) = complement(join(sP0_iProver_def,top)),
inference(theory_normalisation,[status(thm)],[c_945,c_51,c_50]) ).
cnf(c_960,plain,
meet(zero,join(sP1_iProver_def,sP1_iProver_def)) = meet(sP1_iProver_def,zero),
inference(light_normalisation,[status(thm)],[c_959,c_889]) ).
cnf(c_1048,plain,
join(join(sP0_iProver_def,complement(sP1_iProver_def)),sP1_iProver_def) = top,
inference(superposition,[status(thm)],[c_783,c_61]) ).
cnf(c_1050,plain,
join(sP0_iProver_def,join(sP1_iProver_def,complement(sP1_iProver_def))) = top,
inference(theory_normalisation,[status(thm)],[c_1048,c_51,c_50]) ).
cnf(c_1073,plain,
join(top,complement(sP1_iProver_def)) = top,
inference(superposition,[status(thm)],[c_1050,c_271]) ).
cnf(c_1117,plain,
meet(sP1_iProver_def,zero) = complement(top),
inference(superposition,[status(thm)],[c_1073,c_824]) ).
cnf(c_1120,plain,
meet(sP1_iProver_def,zero) = zero,
inference(light_normalisation,[status(thm)],[c_1117,c_215]) ).
cnf(c_1193,plain,
join(complement(complement(X0)),complement(join(complement(X0),top))) = X0,
inference(superposition,[status(thm)],[c_793,c_108]) ).
cnf(c_1194,plain,
join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_1193,c_51,c_50]) ).
cnf(c_1195,plain,
join(complement(complement(X0)),meet(zero,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1194,c_820]) ).
cnf(c_1222,plain,
join(complement(sP0_iProver_def),meet(zero,join(sP1_iProver_def,sP1_iProver_def))) = join(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_791,c_1195]) ).
cnf(c_1244,plain,
join(sP1_iProver_def,zero) = join(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_1222,c_118,c_960,c_1120]) ).
cnf(c_1257,plain,
complement(sP1_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_799,c_791,c_1244]) ).
cnf(c_1273,plain,
join(meet(sP1_iProver_def,X0),complement(join(sP0_iProver_def,X0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1257,c_108]) ).
cnf(c_1581,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_204,c_53]) ).
cnf(c_1679,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_61,c_226]) ).
cnf(c_1680,plain,
join(X0,converse(zero)) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_808,c_226]) ).
cnf(c_1690,plain,
join(X0,converse(zero)) = X0,
inference(light_normalisation,[status(thm)],[c_1680,c_57]) ).
cnf(c_1719,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_1690,c_766]) ).
cnf(c_1732,plain,
composition(zero,converse(X0)) = converse(composition(X0,zero)),
inference(superposition,[status(thm)],[c_1719,c_59]) ).
cnf(c_1763,plain,
join(top,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_1679,c_739]) ).
cnf(c_1967,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_55,c_233]) ).
cnf(c_1996,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1967,c_57]) ).
cnf(c_2033,plain,
join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1996,c_77]) ).
cnf(c_2036,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1996,c_281]) ).
cnf(c_2039,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_2036,c_1996]) ).
cnf(c_2071,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_2039,c_56]) ).
cnf(c_2456,plain,
join(converse(top),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_1763,c_227]) ).
cnf(c_2459,plain,
join(top,converse(top)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_2456,c_51,c_50]) ).
cnf(c_2460,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_2459,c_1763]) ).
cnf(c_2664,plain,
join(zero,meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_204,c_290]) ).
cnf(c_2731,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_2460,c_57]) ).
cnf(c_3360,plain,
meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_2664,c_766]) ).
cnf(c_5924,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_2033,c_2039]) ).
cnf(c_5955,plain,
meet(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_5924,c_204]) ).
cnf(c_5959,plain,
complement(complement(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5955,c_3360]) ).
cnf(c_6009,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[status(thm)],[c_53,c_5959]) ).
cnf(c_6020,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_5959,c_5924]) ).
cnf(c_6043,plain,
complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(superposition,[status(thm)],[c_5959,c_53]) ).
cnf(c_6323,plain,
join(X0,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_6020,c_273]) ).
cnf(c_6324,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_6020,c_51]) ).
cnf(c_6356,plain,
join(X0,top) = top,
inference(light_normalisation,[status(thm)],[c_6323,c_61]) ).
cnf(c_6398,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_6356,c_50]) ).
cnf(c_6446,plain,
join(meet(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[c_309,c_6324]) ).
cnf(c_6476,plain,
join(X0,meet(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_6446,c_51,c_50]) ).
cnf(c_6742,plain,
complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_5959,c_6009]) ).
cnf(c_6979,plain,
meet(X0,complement(meet(complement(X0),X1))) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_6476,c_6043]) ).
cnf(c_7027,plain,
meet(X0,join(X0,complement(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_6979,c_5959,c_6742]) ).
cnf(c_7909,plain,
join(sP1_iProver_def,composition(X0,complement(composition(converse(X0),sP0_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_57,c_401]) ).
cnf(c_8967,plain,
join(X0,composition(complement(one),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_61,c_2071]) ).
cnf(c_9186,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_8967,c_6398]) ).
cnf(c_9330,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_9186,c_77]) ).
cnf(c_9332,plain,
composition(sP1_iProver_def,top) = composition(sP2_iProver_def,top),
inference(superposition,[status(thm)],[c_9186,c_283]) ).
cnf(c_9333,plain,
composition(sk1,top) = composition(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_9186,c_280]) ).
cnf(c_9334,plain,
composition(sP0_iProver_def,top) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_9333,c_117]) ).
cnf(c_9335,plain,
composition(sP2_iProver_def,top) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_9332,c_119]) ).
cnf(c_9337,plain,
join(zero,composition(top,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_9330,c_215,c_2731]) ).
cnf(c_9342,plain,
composition(join(sP0_iProver_def,X0),top) = join(sP0_iProver_def,composition(X0,top)),
inference(superposition,[status(thm)],[c_9334,c_56]) ).
cnf(c_9345,plain,
join(complement(top),composition(converse(sP0_iProver_def),complement(sP0_iProver_def))) = complement(top),
inference(superposition,[status(thm)],[c_9334,c_77]) ).
cnf(c_9346,plain,
join(zero,composition(converse(sP0_iProver_def),sP1_iProver_def)) = zero,
inference(light_normalisation,[status(thm)],[c_9345,c_118,c_215]) ).
cnf(c_9420,plain,
composition(top,zero) = zero,
inference(superposition,[status(thm)],[c_9337,c_766]) ).
cnf(c_9435,plain,
composition(converse(sP0_iProver_def),sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_9346,c_766]) ).
cnf(c_9489,plain,
composition(zero,converse(top)) = converse(zero),
inference(superposition,[status(thm)],[c_9420,c_1732]) ).
cnf(c_9490,plain,
composition(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_9489,c_1719,c_2731]) ).
cnf(c_9516,plain,
composition(converse(sP0_iProver_def),composition(sP1_iProver_def,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_9435,c_54]) ).
cnf(c_9745,plain,
composition(converse(sP0_iProver_def),sP2_iProver_def) = composition(zero,top),
inference(superposition,[status(thm)],[c_119,c_9516]) ).
cnf(c_9754,plain,
composition(converse(sP0_iProver_def),sP2_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_9745,c_9490]) ).
cnf(c_9791,plain,
composition(converse(sP2_iProver_def),sP0_iProver_def) = converse(zero),
inference(superposition,[status(thm)],[c_9754,c_233]) ).
cnf(c_9792,plain,
composition(converse(sP2_iProver_def),sP0_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_9791,c_1719]) ).
cnf(c_10055,plain,
meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_5959,c_7027]) ).
cnf(c_10086,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_50,c_10055]) ).
cnf(c_13185,plain,
join(sP1_iProver_def,composition(sP2_iProver_def,complement(zero))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_9792,c_7909]) ).
cnf(c_13223,plain,
join(sP1_iProver_def,sP2_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_13185,c_810,c_9335]) ).
cnf(c_13309,plain,
meet(sP2_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_13223,c_10086]) ).
cnf(c_13338,plain,
meet(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_13309,c_1581]) ).
cnf(c_14229,plain,
join(sP0_iProver_def,composition(sP1_iProver_def,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_202,c_9342]) ).
cnf(c_14274,plain,
join(sP0_iProver_def,sP2_iProver_def) = top,
inference(light_normalisation,[status(thm)],[c_14229,c_119,c_9186]) ).
cnf(c_14439,plain,
join(meet(sP1_iProver_def,sP2_iProver_def),complement(top)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_14274,c_1273]) ).
cnf(c_14443,plain,
join(complement(top),meet(sP1_iProver_def,sP2_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_14439,c_51,c_50]) ).
cnf(c_14444,plain,
join(zero,sP2_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_14443,c_215,c_13338]) ).
cnf(c_14445,plain,
join(sP2_iProver_def,zero) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_14444,c_51,c_50]) ).
cnf(c_14464,plain,
sP1_iProver_def = sP2_iProver_def,
inference(superposition,[status(thm)],[c_14445,c_808]) ).
cnf(c_14525,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_120,c_14464]) ).
cnf(c_14526,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_14525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL050-1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 06:15:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running UEQ theorem proving
% 0.19/0.47 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
% 7.67/1.64 % SZS status Started for theBenchmark.p
% 7.67/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.67/1.64
% 7.67/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.67/1.64
% 7.67/1.64 ------ iProver source info
% 7.67/1.64
% 7.67/1.64 git: date: 2024-06-12 09:56:46 +0000
% 7.67/1.64 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.67/1.64 git: non_committed_changes: false
% 7.67/1.64
% 7.67/1.64 ------ Parsing...successful
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.67/1.64
% 7.67/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.67/1.64
% 7.67/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.67/1.64 ------ Proving...
% 7.67/1.64 ------ Problem Properties
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64 clauses 17
% 7.67/1.64 conjectures 1
% 7.67/1.64 EPR 1
% 7.67/1.64 Horn 17
% 7.67/1.64 unary 17
% 7.67/1.64 binary 0
% 7.67/1.64 lits 17
% 7.67/1.64 lits eq 17
% 7.67/1.64 fd_pure 0
% 7.67/1.64 fd_pseudo 0
% 7.67/1.64 fd_cond 0
% 7.67/1.64 fd_pseudo_cond 0
% 7.67/1.64 AC symbols 1
% 7.67/1.64
% 7.67/1.64 ------ Input Options Time Limit: Unbounded
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64 ------
% 7.67/1.64 Current options:
% 7.67/1.64 ------
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64 ------ Proving...
% 7.67/1.64
% 7.67/1.64
% 7.67/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.67/1.64
% 7.67/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.67/1.64
% 7.67/1.65
%------------------------------------------------------------------------------