%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : TOP022+1 : TPTP v7.5.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% Computer : n002.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 Mar 29 16:10:41 EDT 2022
% Result : Theorem 0.61s 0.63s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP022+1 : TPTP v7.5.0. Released v3.1.0.
% 0.03/0.13 % Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % RAMPerCPU : 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 : 600
% 0.13/0.35 % DateTime : Wed Mar 16 07:13:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.48 # Using default include path : /export/starexec/sandbox/benchmark
% 0.21/0.48 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.21/0.49 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.51/0.55 # hasConjecture: true isFOF: true
% 0.51/0.55 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.51/0.55 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.61/0.63 # -----------------
% 0.61/0.63 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.63
% 0.61/0.63 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.63 fof(m_8_2_2,conjecture,(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),input).
% 0.61/0.63 fof(f25,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(assume_negation, status(cth), [m_8_2_2])).
% 0.61/0.63 fof(f28,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(fof_simplification, status(thm), [f25])).
% 0.61/0.63 fof(f29,negated_conjecture,(?[X]:(?[X0]:(?[X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))&~isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),inference(fof_nnf, status(thm), [f28])).
% 0.61/0.63 fof(f30,negated_conjecture,(?[VAR22]:(?[VAR21]:(?[VAR20]:(((path_connected(VAR22)&a_member_of(VAR21,VAR22))&a_member_of(VAR20,VAR22))&~isomorphic_groups(first_homotop_grp(VAR22,VAR21),first_homotop_grp(VAR22,VAR20)))))),inference(variable_rename, status(thm), [f29])).
% 0.61/0.63 fof(f31,negated_conjecture,(((path_connected(skf23)&a_member_of(skf24,skf23))&a_member_of(skf25,skf23))&~isomorphic_groups(first_homotop_grp(skf23,skf24),first_homotop_grp(skf23,skf25))),inference(skolemize, status(esa), [f30])).
% 0.61/0.63 cnf(cnf10,negated_conjecture,~isomorphic_groups(first_homotop_grp(skf23,skf24),first_homotop_grp(skf23,skf25)),inference(split_conjunct, status(thm), [f31])).
% 0.61/0.63 fof(isomorphic_groups_defn,axiom,(![A]:(![B]:(isomorphic_groups(A,B)<=>(?[F]:a_group_isomorphism_from_to(F,A,B))))),input).
% 0.61/0.63 fof(f2,axiom,(![A]:(![B]:(isomorphic_groups(A,B)<=>(?[F]:a_group_isomorphism_from_to(F,A,B))))),inference(fof_simplification, status(thm), [isomorphic_groups_defn])).
% 0.61/0.63 fof(f3,axiom,(![A]:(![B]:((~isomorphic_groups(A,B)|(?[F]:a_group_isomorphism_from_to(F,A,B)))&((![F]:~a_group_isomorphism_from_to(F,A,B))|isomorphic_groups(A,B))))),inference(fof_nnf, status(thm), [f2])).
% 0.61/0.63 fof(f4,axiom,((![A]:(![B]:(~isomorphic_groups(A,B)|(?[F]:a_group_isomorphism_from_to(F,A,B)))))&(![A]:(![B]:((![F]:~a_group_isomorphism_from_to(F,A,B))|isomorphic_groups(A,B))))),inference(shift_quantors, status(thm), [f3])).
% 0.61/0.63 fof(f5,axiom,((![VAR2]:(![VAR1]:(~isomorphic_groups(VAR2,VAR1)|(?[VAR0]:a_group_isomorphism_from_to(VAR0,VAR2,VAR1)))))&(![VAR5]:(![VAR4]:((![VAR3]:~a_group_isomorphism_from_to(VAR3,VAR5,VAR4))|isomorphic_groups(VAR5,VAR4))))),inference(variable_rename, status(thm), [f4])).
% 0.61/0.63 fof(f6,axiom,((![VAR2]:(![VAR1]:(~isomorphic_groups(VAR2,VAR1)|a_group_isomorphism_from_to(skf6(VAR2,VAR1),VAR2,VAR1))))&(![VAR5]:(![VAR4]:((![VAR3]:~a_group_isomorphism_from_to(VAR3,VAR5,VAR4))|isomorphic_groups(VAR5,VAR4))))),inference(skolemize, status(esa), [f5])).
% 0.61/0.63 fof(f7,axiom,((~isomorphic_groups(VAR2,VAR1)|a_group_isomorphism_from_to(skf6(VAR2,VAR1),VAR2,VAR1))&(~a_group_isomorphism_from_to(VAR3,VAR5,VAR4)|isomorphic_groups(VAR5,VAR4))),inference(shift_quantors, status(thm), [f6])).
% 0.94/0.63 fof(f8,axiom,((~isomorphic_groups(VAR2,VAR1)|a_group_isomorphism_from_to(skf6(VAR2,VAR1),VAR2,VAR1))&(~a_group_isomorphism_from_to(VAR3,VAR5,VAR4)|isomorphic_groups(VAR5,VAR4))),inference(distribute, status(thm), [f7])).
% 0.94/0.63 cnf(cnf1,axiom,~a_group_isomorphism_from_to(X7,X8,X9)|isomorphic_groups(X8,X9),inference(split_conjunct, status(thm), [f8])).
% 0.94/0.63 fof(m_8_2_1,axiom,(![A]:(![X0]:(![X1]:(![X]:(a_path_from_to_in(A,X0,X1,X)=>a_group_isomorphism_from_to(alpha_hat(A),first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),input).
% 0.94/0.63 fof(f20,axiom,(![A]:(![X0]:(![X1]:(![X]:(a_path_from_to_in(A,X0,X1,X)=>a_group_isomorphism_from_to(alpha_hat(A),first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(fof_simplification, status(thm), [m_8_2_1])).
% 0.94/0.63 fof(f21,axiom,(![A]:(![X0]:(![X1]:(![X]:(~a_path_from_to_in(A,X0,X1,X)|a_group_isomorphism_from_to(alpha_hat(A),first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(fof_nnf, status(thm), [f20])).
% 0.94/0.63 fof(f22,axiom,(![VAR19]:(![VAR18]:(![VAR17]:(![VAR16]:(~a_path_from_to_in(VAR19,VAR18,VAR17,VAR16)|a_group_isomorphism_from_to(alpha_hat(VAR19),first_homotop_grp(VAR16,VAR18),first_homotop_grp(VAR16,VAR17))))))),inference(variable_rename, status(thm), [f21])).
% 0.94/0.63 fof(f23,axiom,(~a_path_from_to_in(VAR19,VAR18,VAR17,VAR16)|a_group_isomorphism_from_to(alpha_hat(VAR19),first_homotop_grp(VAR16,VAR18),first_homotop_grp(VAR16,VAR17))),inference(shift_quantors, status(thm), [f22])).
% 0.94/0.63 cnf(cnf6,axiom,~a_path_from_to_in(X14,X15,X16,X17)|a_group_isomorphism_from_to(alpha_hat(X14),first_homotop_grp(X17,X15),first_homotop_grp(X17,X16)),inference(split_conjunct, status(thm), [f23])).
% 0.94/0.63 fof(m_8_2_2,conjecture,(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),input).
% 0.94/0.63 fof(f25,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(assume_negation, status(cth), [m_8_2_2])).
% 0.94/0.63 fof(f28,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(fof_simplification, status(thm), [f25])).
% 0.94/0.63 fof(f29,negated_conjecture,(?[X]:(?[X0]:(?[X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))&~isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),inference(fof_nnf, status(thm), [f28])).
% 0.94/0.63 fof(f30,negated_conjecture,(?[VAR22]:(?[VAR21]:(?[VAR20]:(((path_connected(VAR22)&a_member_of(VAR21,VAR22))&a_member_of(VAR20,VAR22))&~isomorphic_groups(first_homotop_grp(VAR22,VAR21),first_homotop_grp(VAR22,VAR20)))))),inference(variable_rename, status(thm), [f29])).
% 0.94/0.63 fof(f31,negated_conjecture,(((path_connected(skf23)&a_member_of(skf24,skf23))&a_member_of(skf25,skf23))&~isomorphic_groups(first_homotop_grp(skf23,skf24),first_homotop_grp(skf23,skf25))),inference(skolemize, status(esa), [f30])).
% 0.94/0.63 cnf(cnf7,negated_conjecture,path_connected(skf23),inference(split_conjunct, status(thm), [f31])).
% 0.94/0.63 fof(m_8_2_2,conjecture,(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),input).
% 0.94/0.63 fof(f25,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(assume_negation, status(cth), [m_8_2_2])).
% 0.94/0.63 fof(f28,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(fof_simplification, status(thm), [f25])).
% 0.94/0.63 fof(f29,negated_conjecture,(?[X]:(?[X0]:(?[X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))&~isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),inference(fof_nnf, status(thm), [f28])).
% 0.94/0.63 fof(f30,negated_conjecture,(?[VAR22]:(?[VAR21]:(?[VAR20]:(((path_connected(VAR22)&a_member_of(VAR21,VAR22))&a_member_of(VAR20,VAR22))&~isomorphic_groups(first_homotop_grp(VAR22,VAR21),first_homotop_grp(VAR22,VAR20)))))),inference(variable_rename, status(thm), [f29])).
% 0.94/0.63 fof(f31,negated_conjecture,(((path_connected(skf23)&a_member_of(skf24,skf23))&a_member_of(skf25,skf23))&~isomorphic_groups(first_homotop_grp(skf23,skf24),first_homotop_grp(skf23,skf25))),inference(skolemize, status(esa), [f30])).
% 0.94/0.63 cnf(cnf8,negated_conjecture,a_member_of(skf24,skf23),inference(split_conjunct, status(thm), [f31])).
% 0.94/0.63 fof(m_8_2_2,conjecture,(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),input).
% 0.94/0.63 fof(f25,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(assume_negation, status(cth), [m_8_2_2])).
% 0.94/0.63 fof(f28,negated_conjecture,(~(![X]:(![X0]:(![X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))=>isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1))))))),inference(fof_simplification, status(thm), [f25])).
% 0.94/0.63 fof(f29,negated_conjecture,(?[X]:(?[X0]:(?[X1]:(((path_connected(X)&a_member_of(X0,X))&a_member_of(X1,X))&~isomorphic_groups(first_homotop_grp(X,X0),first_homotop_grp(X,X1)))))),inference(fof_nnf, status(thm), [f28])).
% 0.94/0.63 fof(f30,negated_conjecture,(?[VAR22]:(?[VAR21]:(?[VAR20]:(((path_connected(VAR22)&a_member_of(VAR21,VAR22))&a_member_of(VAR20,VAR22))&~isomorphic_groups(first_homotop_grp(VAR22,VAR21),first_homotop_grp(VAR22,VAR20)))))),inference(variable_rename, status(thm), [f29])).
% 0.94/0.63 fof(f31,negated_conjecture,(((path_connected(skf23)&a_member_of(skf24,skf23))&a_member_of(skf25,skf23))&~isomorphic_groups(first_homotop_grp(skf23,skf24),first_homotop_grp(skf23,skf25))),inference(skolemize, status(esa), [f30])).
% 0.94/0.63 cnf(cnf9,negated_conjecture,a_member_of(skf25,skf23),inference(split_conjunct, status(thm), [f31])).
% 0.94/0.63 fof(path_connected_defn,axiom,(![X]:(![X0]:(![X1]:(path_connected(X)<=>((a_member_of(X0,X)&a_member_of(X1,X))=>(?[P]:a_path_from_to_in(P,X0,X1,X))))))),input).
% 0.94/0.63 fof(f11,axiom,(![X]:(![X0]:(![X1]:(path_connected(X)<=>((a_member_of(X0,X)&a_member_of(X1,X))=>(?[P]:a_path_from_to_in(P,X0,X1,X))))))),inference(fof_simplification, status(thm), [path_connected_defn])).
% 0.94/0.63 fof(f12,axiom,(![X]:(![X0]:(![X1]:((~path_connected(X)|((~a_member_of(X0,X)|~a_member_of(X1,X))|(?[P]:a_path_from_to_in(P,X0,X1,X))))&(((a_member_of(X0,X)&a_member_of(X1,X))&(![P]:~a_path_from_to_in(P,X0,X1,X)))|path_connected(X)))))),inference(fof_nnf, status(thm), [f11])).
% 0.94/0.63 fof(f13,axiom,((![X]:(![X0]:(![X1]:(~path_connected(X)|((~a_member_of(X0,X)|~a_member_of(X1,X))|(?[P]:a_path_from_to_in(P,X0,X1,X)))))))&(![X]:(![X0]:(![X1]:(((a_member_of(X0,X)&a_member_of(X1,X))&(![P]:~a_path_from_to_in(P,X0,X1,X)))|path_connected(X)))))),inference(shift_quantors, status(thm), [f12])).
% 0.94/0.63 fof(f14,axiom,((![VAR10]:(![VAR9]:(![VAR8]:(~path_connected(VAR10)|((~a_member_of(VAR9,VAR10)|~a_member_of(VAR8,VAR10))|(?[VAR7]:a_path_from_to_in(VAR7,VAR9,VAR8,VAR10)))))))&(![VAR14]:(![VAR13]:(![VAR12]:(((a_member_of(VAR13,VAR14)&a_member_of(VAR12,VAR14))&(![VAR11]:~a_path_from_to_in(VAR11,VAR13,VAR12,VAR14)))|path_connected(VAR14)))))),inference(variable_rename, status(thm), [f13])).
% 0.94/0.63 fof(f15,axiom,((![VAR10]:(![VAR9]:(![VAR8]:(~path_connected(VAR10)|((~a_member_of(VAR9,VAR10)|~a_member_of(VAR8,VAR10))|a_path_from_to_in(skf15(VAR10,VAR9,VAR8),VAR9,VAR8,VAR10))))))&(![VAR14]:(![VAR13]:(![VAR12]:(((a_member_of(VAR13,VAR14)&a_member_of(VAR12,VAR14))&(![VAR11]:~a_path_from_to_in(VAR11,VAR13,VAR12,VAR14)))|path_connected(VAR14)))))),inference(skolemize, status(esa), [f14])).
% 0.94/0.63 fof(f16,axiom,((~path_connected(VAR10)|((~a_member_of(VAR9,VAR10)|~a_member_of(VAR8,VAR10))|a_path_from_to_in(skf15(VAR10,VAR9,VAR8),VAR9,VAR8,VAR10)))&(((a_member_of(VAR13,VAR14)&a_member_of(VAR12,VAR14))&~a_path_from_to_in(VAR11,VAR13,VAR12,VAR14))|path_connected(VAR14))),inference(shift_quantors, status(thm), [f15])).
% 0.94/0.63 fof(f17,axiom,((~path_connected(VAR10)|((~a_member_of(VAR9,VAR10)|~a_member_of(VAR8,VAR10))|a_path_from_to_in(skf15(VAR10,VAR9,VAR8),VAR9,VAR8,VAR10)))&(((a_member_of(VAR13,VAR14)|path_connected(VAR14))&(a_member_of(VAR12,VAR14)|path_connected(VAR14)))&(~a_path_from_to_in(VAR11,VAR13,VAR12,VAR14)|path_connected(VAR14)))),inference(distribute, status(thm), [f16])).
% 0.94/0.63 cnf(cnf2,axiom,~path_connected(X18)|~a_member_of(X19,X18)|~a_member_of(X20,X18)|a_path_from_to_in(skf15(X18,X19,X20),X19,X20,X18),inference(split_conjunct, status(thm), [f17])).
% 0.94/0.63 cnf(c2,plain,~path_connected(skf23)|~a_member_of(X29,skf23)|a_path_from_to_in(skf15(skf23,X29,skf25),X29,skf25,skf23),inference(resolution, status(thm), [cnf2, cnf9])).
% 0.94/0.63 cnf(c20,plain,~path_connected(skf23)|a_path_from_to_in(skf15(skf23,skf24,skf25),skf24,skf25,skf23),inference(resolution, status(thm), [c2, cnf8])).
% 0.94/0.63 cnf(c25,plain,a_path_from_to_in(skf15(skf23,skf24,skf25),skf24,skf25,skf23),inference(resolution, status(thm), [c20, cnf7])).
% 0.94/0.63 cnf(c27,plain,a_group_isomorphism_from_to(alpha_hat(skf15(skf23,skf24,skf25)),first_homotop_grp(skf23,skf24),first_homotop_grp(skf23,skf25)),inference(resolution, status(thm), [c25, cnf6])).
% 0.94/0.63 cnf(c34,plain,isomorphic_groups(first_homotop_grp(skf23,skf24),first_homotop_grp(skf23,skf25)),inference(resolution, status(thm), [c27, cnf1])).
% 0.94/0.63 cnf(c36,plain,$false,inference(resolution, status(thm), [c34, cnf10])).
% 0.94/0.63 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.94/0.63 # Filename : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.94/0.63 # Indexed : true
% 0.94/0.63 # Eval function name : PickGiven5
% 0.94/0.63 # Initial clauses : 11
% 0.94/0.63 # Processed clauses : 29
% 0.94/0.63 # Factors computed : 1
% 0.94/0.63 # Resolvents computed: 37
% 0.94/0.63 # Tautologies deleted: 4
% 0.94/0.63 # Forward subsumed : 11
% 0.94/0.63 # Backward subsumed : 4
% 0.94/0.63 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.94/0.63 # SZS Expected : Theorem
% 0.94/0.63 # time : 77ms
% 0.94/0.63
%------------------------------------------------------------------------------