%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SET787-2 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n007.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 : 600s % DateTime : Tue Jul 19 01:02:38 EDT 2022 % Result : Unsatisfiable 0.19s 0.52s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET787-2 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n007.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 : 600 % 0.13/0.34 % DateTime : Sun Jul 10 17:51:02 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.36 # No SInE strategy applied % 0.13/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN % 0.13/0.36 # and selection function PSelectComplexExceptUniqMaxHorn. % 0.13/0.36 # % 0.13/0.36 # Presaturation interreduction done % 0.13/0.36 # Number of axioms: 145 Number of unprocessed: 131 % 0.13/0.36 # Tableaux proof search. % 0.13/0.36 # APR header successfully linked. % 0.13/0.36 # Hello from C++ % 0.13/0.36 # The folding up rule is enabled... % 0.13/0.36 # Local unification is enabled... % 0.13/0.36 # Any saturation attempts will use folding labels... % 0.13/0.36 # 131 beginning clauses after preprocessing and clausification % 0.13/0.36 # Creating start rules for all 2 conjectures. % 0.13/0.36 # There are 2 start rule candidates: % 0.13/0.36 # Found 19 unit axioms. % 0.13/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.13/0.36 # 2 start rule tableaux created. % 0.13/0.36 # 112 extension rule candidate clauses % 0.13/0.36 # 19 unit axiom clauses % 0.13/0.36 % 0.13/0.36 # Requested 8, 32 cores available to the main process. % 0.13/0.36 # There are not enough tableaux to fork, creating more from the initial 2 % 0.13/0.36 # Returning from population with 32 new_tableaux and 0 remaining starting tableaux. % 0.13/0.36 # We now have 32 tableaux to operate on % 0.19/0.52 # There were 1 total branch saturation attempts. % 0.19/0.52 # There were 0 of these attempts blocked. % 0.19/0.52 # There were 0 deferred branch saturation attempts. % 0.19/0.52 # There were 0 free duplicated saturations. % 0.19/0.52 # There were 1 total successful branch saturations. % 0.19/0.52 # There were 0 successful branch saturations in interreduction. % 0.19/0.52 # There were 0 successful branch saturations on the branch. % 0.19/0.52 # There were 1 successful branch saturations after the branch. % 0.19/0.52 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.52 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.52 # Begin clausification derivation % 0.19/0.52 % 0.19/0.52 # End clausification derivation % 0.19/0.52 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.52 cnf(i_0_297, negated_conjecture, (member(sk2,union(cons(a,cons(b,eptset)))))). % 0.19/0.52 cnf(i_0_269, plain, (subset(eptset,X1))). % 0.19/0.52 cnf(i_0_266, plain, (subset(X1,X1))). % 0.19/0.52 cnf(i_0_283, plain, (member(eptset,pow(X1)))). % 0.19/0.52 cnf(i_0_274, plain, (member(X1,succ(X1)))). % 0.19/0.52 cnf(i_0_284, plain, (member(X1,pow(X1)))). % 0.19/0.52 cnf(i_0_150, plain, (member(X1,cons(X1,X2)))). % 0.19/0.52 cnf(i_0_288, plain, (fst(pair(X1,X2))=X1)). % 0.19/0.52 cnf(i_0_289, plain, (snd(pair(X1,X2))=X2)). % 0.19/0.52 cnf(i_0_272, plain, (member(X1,upair(X2,X1)))). % 0.19/0.52 cnf(i_0_271, plain, (member(X1,upair(X1,X2)))). % 0.19/0.52 cnf(i_0_290, plain, (~member(X1,eptset))). % 0.19/0.52 cnf(i_0_298, negated_conjecture, (~member(sk2,un(a,b)))). % 0.19/0.52 cnf(i_0_262, plain, (pair(X1,X2)!=X2)). % 0.19/0.52 cnf(i_0_261, plain, (pair(X1,X2)!=X1)). % 0.19/0.52 cnf(i_0_260, plain, (pair(X1,X2)!=eptset)). % 0.19/0.52 cnf(i_0_230, plain, (inl(X1)!=inr(X2))). % 0.19/0.52 cnf(i_0_183, plain, (qInl(X1)!=qInr(X2))). % 0.19/0.52 cnf(i_0_208, plain, (~member(pair(inr(X1),inl(X2)),radd(X3,X4,X5,X6)))). % 0.19/0.52 cnf(i_0_222, plain, (X1=eptset|~le(X1,eptset))). % 0.19/0.52 cnf(i_0_223, plain, (ord(X1)|~le(X1,X1))). % 0.19/0.52 cnf(i_0_224, plain, (ord(X1)|~ord(succ(X1)))). % 0.19/0.52 cnf(i_0_246, plain, (~member(X1,diff(X2,X3))|~member(X1,X3))). % 0.19/0.52 cnf(i_0_243, plain, (X1=X2|~member(X1,cons(X2,eptset)))). % 0.19/0.52 cnf(i_0_240, plain, (X1=X2|cons(X1,eptset)!=cons(X2,eptset))). % 0.19/0.52 cnf(i_0_241, plain, (X1=X2|succ(X1)!=succ(X2))). % 0.19/0.52 cnf(i_0_218, plain, (ord(X1)|~le(eptset,succ(X1)))). % 0.19/0.52 cnf(i_0_172, plain, (card(union(X1))|~card(card_Union_sk1(X1)))). % 0.19/0.52 cnf(i_0_176, plain, (ord(inter(X1))|~ord(order_Inter_sk1(X1)))). % 0.19/0.52 cnf(i_0_178, plain, (ord(union(X1))|~ord(order_Union_sk1(X1)))). % 0.19/0.52 cnf(i_0_196, plain, (member(X1,nat)|~member(succ(X1),nat))). % 0.19/0.52 cnf(i_0_232, plain, (X1=X2|inr(X1)!=inr(X2))). % 0.19/0.52 cnf(i_0_233, plain, (X1=X2|inl(X1)!=inl(X2))). % 0.19/0.52 cnf(i_0_185, plain, (X1=X2|qInr(X1)!=qInr(X2))). % 0.19/0.52 cnf(i_0_186, plain, (X1=X2|qInl(X1)!=qInl(X2))). % 0.19/0.52 cnf(i_0_217, plain, (lt(X1,X2)|~le(succ(X1),X2))). % 0.19/0.52 cnf(i_0_280, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))). % 0.19/0.52 cnf(i_0_248, plain, (member(X1,X2)|~member(X1,int(X3,X2)))). % 0.19/0.52 cnf(i_0_245, plain, (member(X1,X2)|~member(X1,diff(X2,X3)))). % 0.19/0.52 cnf(i_0_152, plain, (member(succ(X1),nat)|~member(X1,nat))). % 0.19/0.52 cnf(i_0_158, plain, (member(X1,succ(X2))|~member(X1,X2))). % 0.19/0.52 cnf(i_0_171, plain, (card(union(X1))|member(card_Union_sk1(X1),X1))). % 0.19/0.52 cnf(i_0_247, plain, (member(X1,X2)|~member(X1,int(X2,X3)))). % 0.19/0.52 cnf(i_0_265, plain, (subset(X1,X2)|~member(subsetI_sk1(X1,X2),X2))). % 0.19/0.52 cnf(i_0_239, plain, (X1=X2|pair(X3,X1)!=pair(X4,X2))). % 0.19/0.52 cnf(i_0_195, plain, (X1=X2|qPair(X3,X1)!=qPair(X4,X2))). % 0.19/0.52 cnf(i_0_151, plain, (member(X1,cons(X2,X3))|~member(X1,X3))). % 0.19/0.52 cnf(i_0_165, plain, (member(X1,un(X2,X3))|~member(X1,X3))). % 0.19/0.52 cnf(i_0_175, plain, (ord(inter(X1))|member(order_Inter_sk1(X1),X1))). % 0.19/0.52 cnf(i_0_177, plain, (ord(union(X1))|member(order_Union_sk1(X1),X1))). % 0.19/0.52 cnf(i_0_238, plain, (X1=X2|pair(X1,X3)!=pair(X2,X4))). % 0.19/0.52 cnf(i_0_194, plain, (X1=X2|qPair(X1,X3)!=qPair(X2,X4))). % 0.19/0.52 cnf(i_0_220, plain, (member(X1,X2)|~member(pair(X3,X1),memrel(X2)))). % 0.19/0.52 cnf(i_0_219, plain, (member(X1,X2)|~member(pair(X1,X3),memrel(X2)))). % 0.19/0.52 cnf(i_0_166, plain, (member(X1,un(X2,X3))|~member(X1,X2))). % 0.19/0.52 cnf(i_0_242, plain, (X1=X2|member(X1,X2)|~member(X1,succ(X2)))). % 0.19/0.52 cnf(i_0_168, plain, (member(X1,pow(X2))|~member(powI_sk1(X1,X2),X2))). % 0.19/0.52 cnf(i_0_221, plain, (member(X1,X2)|~member(pair(X1,X2),memrel(X3)))). % 0.19/0.52 cnf(i_0_179, plain, (ord(un(X1,X2))|~ord(X2)|~ord(X1))). % 0.19/0.52 cnf(i_0_264, plain, (subset(X1,X2)|member(subsetI_sk1(X1,X2),X1))). % 0.19/0.52 cnf(i_0_205, plain, (X1=X2|~rmultE_c2(X1,X3,X2,X4,X5,X6,X7,X8))). % 0.19/0.52 cnf(i_0_273, plain, (X1=X2|X1=X3|~member(X1,upair(X2,X3)))). % 0.19/0.52 cnf(i_0_257, plain, (member(X1,X2)|~subset(X3,X2)|~member(X1,X3))). % 0.19/0.52 cnf(i_0_251, plain, (member(X1,unionE_sk1(X1,X2))|~member(X1,union(X2)))). % 0.19/0.52 cnf(i_0_244, plain, (X1=X2|member(X1,X3)|~member(X1,cons(X2,X3)))). % 0.19/0.52 cnf(i_0_249, plain, (member(X1,X2)|member(X1,X3)|~member(X1,un(X2,X3)))). % 0.19/0.52 cnf(i_0_276, plain, (member(X1,union(X2))|~member(X1,X3)|~member(X3,X2))). % 0.19/0.52 cnf(i_0_252, plain, (member(unionE_sk1(X1,X2),X2)|~member(X1,union(X2)))). % 0.19/0.52 cnf(i_0_295, plain, (pair(converseE_sk2(X1),converseE_sk1(X1))=X1|~member(X1,converse(X2)))). % 0.19/0.52 cnf(i_0_167, plain, (member(powI_sk1(X1,X2),X1)|member(X1,pow(X2)))). % 0.19/0.52 cnf(i_0_267, plain, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3))). % 0.19/0.52 cnf(i_0_256, plain, (member(X1,X2)|~member(subsetD_sk1(X3,X2,X1),X2)|~member(X1,X3))). % 0.19/0.52 cnf(i_0_202, plain, (member(X1,X2)|~rmultE_c1(X3,X4,X5,X1,X6,X7,X2,X8))). % 0.19/0.52 cnf(i_0_228, plain, (member(idE_sk1(X1,X2),X2)|~member(X1,id(X2)))). % 0.19/0.52 cnf(i_0_250, plain, (member(X1,X2)|~member(X3,pow(X2))|~member(X1,X3))). % 0.19/0.52 cnf(i_0_254, plain, (member(X1,X2)|~member(X1,inter(X3))|~member(X2,X3))). % 0.19/0.52 cnf(i_0_258, plain, (member(X1,field(X2))|~member(pair(X3,X1),X2))). % 0.19/0.52 cnf(i_0_259, plain, (member(X1,field(X2))|~member(pair(X1,X3),X2))). % 0.19/0.52 cnf(i_0_156, plain, (member(inr(X1),disjsum(X2,X3))|~member(X1,X3))). % 0.19/0.52 cnf(i_0_155, plain, (member(inl(X1),disjsum(X2,X3))|~member(X1,X2))). % 0.19/0.52 cnf(i_0_207, plain, (member(X1,X2)|~rmultE_c2(X3,X4,X5,X1,X6,X7,X2,X8))). % 0.19/0.52 cnf(i_0_200, plain, (member(X1,X2)|~rmultE_c1(X3,X4,X1,X5,X2,X6,X7,X8))). % 0.19/0.52 cnf(i_0_204, plain, (member(X1,X2)|~rmultE_c2(X3,X4,X1,X5,X2,X6,X7,X8))). % 0.19/0.52 cnf(i_0_201, plain, (member(X1,X2)|~rmultE_c1(X3,X1,X4,X5,X6,X7,X2,X8))). % 0.19/0.52 cnf(i_0_174, plain, (member(int(X1,X2),fin(X3))|~member(X2,fin(X3)))). % 0.19/0.52 cnf(i_0_286, plain, (member(fst(X1),X2)|~member(X1,sigma(X2,X3)))). % 0.19/0.52 cnf(i_0_164, plain, (member(X1,int(X2,X3))|~member(X1,X3)|~member(X1,X2))). % 0.19/0.52 cnf(i_0_294, plain, (member(pair(X1,X2),X3)|~member(pair(X2,X1),converse(X3)))). % 0.19/0.52 cnf(i_0_193, plain, (member(qPair(X1,X2),X3)|~member(qPair(X2,X1),qconverse(X3)))). % 0.19/0.52 cnf(i_0_163, plain, (member(X1,diff(X2,X3))|member(X1,X3)|~member(X1,X2))). % 0.19/0.52 cnf(i_0_173, plain, (member(int(X1,X2),fin(X3))|~member(X1,fin(X3)))). % 0.19/0.52 cnf(i_0_206, plain, (member(X1,X2)|~rmultE_c2(X3,X1,X4,X5,X6,X7,X2,X8))). % 0.19/0.52 cnf(i_0_199, plain, (member(X1,X2)|~rmultE_c1(X1,X3,X4,X5,X2,X6,X7,X8))). % 0.19/0.52 cnf(i_0_170, plain, (member(X1,inter(X2))|~member(X1,interI_sk1(X1,X2))|~member(X3,X2))). % 0.19/0.52 cnf(i_0_203, plain, (member(pair(X1,X2),X3)|~rmultE_c2(X4,X1,X5,X2,X6,X7,X8,X3))). % 0.19/0.52 cnf(i_0_293, plain, (member(pair(X1,X2),converse(X3))|~member(pair(X2,X1),X3))). % 0.19/0.52 cnf(i_0_277, plain, (member(sigmaE_sk1x(X1,X2,X3),X1)|~member(X3,sigma(X1,X2)))). % 0.19/0.52 cnf(i_0_296, plain, (member(pair(converse_sk1(X1),converse_sk2(X1)),X2)|~member(X1,converse(X2)))). % 0.19/0.52 cnf(i_0_255, plain, (member(subsetD_sk1(X1,X2,X3),X1)|member(X3,X2)|~member(X3,X1))). % 0.19/0.52 cnf(i_0_169, plain, (member(interI_sk1(X1,X2),X2)|member(X1,inter(X2))|~member(X3,X2))). % 0.19/0.52 cnf(i_0_229, plain, (pair(idE_sk1(X1,X2),idE_sk1(X1,X2))=X1|~member(X1,id(X2)))). % 0.19/0.52 cnf(i_0_191, plain, (qPair(qconverseE_sk2(X1,X2),qconverseE_sk1(X1,X2))=X1|~member(X1,qconverse(X2)))). % 0.19/0.52 cnf(i_0_198, plain, (member(pair(X1,X2),X3)|~rmultE_c1(X1,X4,X2,X5,X6,X3,X7,X8))). % 0.19/0.52 cnf(i_0_210, plain, (member(X1,X2)|~member(pair(inr(X3),inr(X1)),radd(X4,X5,X2,X6)))). % 0.19/0.52 cnf(i_0_216, plain, (member(X1,X2)|~member(pair(inl(X3),inr(X1)),radd(X4,X5,X2,X6)))). % 0.19/0.52 cnf(i_0_213, plain, (member(X1,X2)|~member(pair(inl(X3),inl(X1)),radd(X2,X4,X5,X6)))). % 0.19/0.52 cnf(i_0_192, plain, (member(qPair(qconverseE_sk1(X1,X2),qconverseE_sk2(X1,X2)),X2)|~member(X1,qconverse(X2)))). % 0.19/0.52 cnf(i_0_209, plain, (member(X1,X2)|~member(pair(inr(X1),inr(X3)),radd(X4,X5,X2,X6)))). % 0.19/0.52 cnf(i_0_215, plain, (member(X1,X2)|~member(pair(inl(X1),inr(X3)),radd(X2,X4,X5,X6)))). % 0.19/0.52 cnf(i_0_212, plain, (member(X1,X2)|~member(pair(inl(X1),inl(X3)),radd(X2,X4,X5,X6)))). % 0.19/0.52 cnf(i_0_182, plain, (member(X1,image(X2,X3))|~member(pair(X4,X1),X2)|~member(X4,X3))). % 0.19/0.52 cnf(i_0_287, plain, (member(snd(X1),apply(X2,fst(X1)))|~member(X1,sigma(X3,X2)))). % 0.19/0.52 cnf(i_0_285, plain, (member(pair(X1,X2),sigma(X3,X4))|~member(X2,apply(X4,X1))|~member(X1,X3))). % 0.19/0.52 cnf(i_0_181, plain, (member(X1,vimage(X2,X3))|~member(pair(X1,X4),X2)|~member(X4,X3))). % 0.19/0.52 cnf(i_0_211, plain, (member(pair(X1,X2),X3)|~member(pair(inr(X1),inr(X2)),radd(X4,X5,X6,X3)))). % 0.19/0.52 cnf(i_0_214, plain, (member(pair(X1,X2),X3)|~member(pair(inl(X1),inl(X2)),radd(X4,X3,X5,X6)))). % 0.19/0.52 cnf(i_0_225, plain, (pair(compE_sk1(X1,X2,X3),compE_sk3(X1,X2,X3))=X1|~member(X1,comp(X2,X3)))). % 0.19/0.52 cnf(i_0_237, plain, (inl(sumE_sk1(X1,X2,X3))=X1|inr(sumE_sk2(X1,X2,X3))=X1|~member(X1,disjsum(X2,X3)))). % 0.19/0.52 cnf(i_0_190, plain, (qInl(qsumE_sk1(X1,X2,X3))=X1|qInr(qsumE_sk2(X1,X2,X3))=X1|~member(X1,qsum(X2,X3)))). % 0.19/0.52 cnf(i_0_279, plain, (pair(sigmaE_sk1x(X1,X2,X3),sigmaE_sk1y(X1,X2,X3))=X3|~member(X3,sigma(X1,X2)))). % 0.19/0.52 cnf(i_0_180, plain, (member(pair(X1,X2),comp(X3,X4))|~member(pair(X5,X2),X3)|~member(pair(X1,X5),X4))). % 0.19/0.52 cnf(i_0_278, plain, (member(sigmaE_sk1y(X1,X2,X3),apply(X2,sigmaE_sk1x(X1,X2,X3)))|~member(X3,sigma(X1,X2)))). % 0.19/0.52 cnf(i_0_235, plain, (inr(sumE_sk2(X1,X2,X3))=X1|member(sumE_sk1(X1,X2,X3),X2)|~member(X1,disjsum(X2,X3)))). % 0.19/0.52 cnf(i_0_226, plain, (member(pair(compE_sk1(X1,X2,X3),compE_sk2(X1,X2,X3)),X3)|~member(X1,comp(X2,X3)))). % 0.19/0.52 cnf(i_0_227, plain, (member(pair(compE_sk2(X1,X2,X3),compE_sk3(X1,X2,X3)),X2)|~member(X1,comp(X2,X3)))). % 0.19/0.52 cnf(i_0_187, plain, (member(qsumE_sk2(X1,X2,X3),X3)|member(qsumE_sk1(X1,X2,X3),X2)|~member(X1,qsum(X2,X3)))). % 0.19/0.52 cnf(i_0_234, plain, (member(sumE_sk2(X1,X2,X3),X3)|member(sumE_sk1(X1,X2,X3),X2)|~member(X1,disjsum(X2,X3)))). % 0.19/0.52 cnf(i_0_236, plain, (inl(sumE_sk1(X1,X2,X3))=X1|member(sumE_sk2(X1,X2,X3),X3)|~member(X1,disjsum(X2,X3)))). % 0.19/0.52 cnf(i_0_188, plain, (qInr(qsumE_sk2(X1,X2,X3))=X1|member(qsumE_sk1(X1,X2,X3),X2)|~member(X1,qsum(X2,X3)))). % 0.19/0.52 cnf(i_0_189, plain, (qInl(qsumE_sk1(X1,X2,X3))=X1|member(qsumE_sk2(X1,X2,X3),X3)|~member(X1,qsum(X2,X3)))). % 0.19/0.52 cnf(i_0_197, plain, (rmultE_c2(X1,X2,X3,X4,X5,X6,X7,X8)|rmultE_c1(X1,X2,X3,X4,X5,X6,X7,X8)|~member(pair(pair(X1,X2),pair(X3,X4)),rmult(X5,X6,X7,X8)))). % 0.19/0.52 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.52 # Begin printing tableau % 0.19/0.52 # Found 4 steps % 0.19/0.52 cnf(i_0_298, negated_conjecture, (~member(sk2,un(a,b))), inference(start_rule)). % 0.19/0.52 cnf(i_0_304, plain, (~member(sk2,un(a,b))), inference(extension_rule, [i_0_216])). % 0.19/0.52 cnf(i_0_494, plain, (~member(pair(inl(X14),inr(sk2)),radd(X13,X8,un(a,b),X7))), inference(extension_rule, [i_0_248])). % 0.19/0.52 cnf(i_0_598, plain, (~member(pair(inl(X14),inr(sk2)),int(X6,radd(X13,X8,un(a,b),X7)))), inference(etableau_closure_rule, [i_0_598, ...])). % 0.19/0.52 # End printing tableau % 0.19/0.52 # SZS output end % 0.19/0.52 # Branches closed with saturation will be marked with an "s" % 0.19/0.53 # Child (18540) has found a proof. % 0.19/0.53 % 0.19/0.53 # Proof search is over... % 0.19/0.53 # Freeing feature tree %------------------------------------------------------------------------------