TSTP Solution File: SWV164+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 : Wed Jul 20 21:16:01 EDT 2022
% Result : Theorem 54.94s 55.16s
% Output : Refutation 54.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 01:12:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 54.94/55.16 # Version: 1.3
% 54.94/55.16 # SZS status Theorem
% 54.94/55.16 # SZS output start CNFRefutation
% 54.94/55.16 fof(irreflexivity_gt,axiom,(![X]:(~gt(X,X))),input).
% 54.94/55.16 fof(c474,axiom,(![X]:~gt(X,X)),inference(fof_simplification,status(thm),[irreflexivity_gt])).
% 54.94/55.16 fof(c475,axiom,(![X176]:~gt(X176,X176)),inference(variable_rename,status(thm),[c474])).
% 54.94/55.16 cnf(c476,axiom,~gt(X184,X184),inference(split_conjunct,status(thm),[c475])).
% 54.94/55.16 fof(leq_succ_gt,axiom,(![X]:(![Y]:(leq(succ(X),Y)=>gt(Y,X)))),input).
% 54.94/55.16 fof(c131,axiom,(![X]:(![Y]:(~leq(succ(X),Y)|gt(Y,X)))),inference(fof_nnf,status(thm),[leq_succ_gt])).
% 54.94/55.16 fof(c132,axiom,(![X44]:(![X45]:(~leq(succ(X44),X45)|gt(X45,X44)))),inference(variable_rename,status(thm),[c131])).
% 54.94/55.16 cnf(c133,axiom,~leq(succ(X397),X398)|gt(X398,X397),inference(split_conjunct,status(thm),[c132])).
% 54.94/55.16 fof(cl5_nebula_norm_0014,conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![A]:((leq(n0,A)&leq(A,pred(pv10)))=>sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))=>(![B]:((leq(n0,B)&leq(B,tptp_minus_1))=>a_select3(q,pv10,B)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),input).
% 54.94/55.16 fof(c85,negated_conjecture,(~(((leq(n0,pv10)&leq(pv10,n135299))&(![A]:((leq(n0,A)&leq(A,pred(pv10)))=>sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))=>(![B]:((leq(n0,B)&leq(B,tptp_minus_1))=>a_select3(q,pv10,B)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))))),inference(assume_negation,status(cth),[cl5_nebula_norm_0014])).
% 54.94/55.16 fof(c86,negated_conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![A]:((~leq(n0,A)|~leq(A,pred(pv10)))|sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))&(?[B]:((leq(n0,B)&leq(B,tptp_minus_1))&a_select3(q,pv10,B)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),inference(fof_nnf,status(thm),[c85])).
% 54.94/55.16 fof(c87,negated_conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![X8]:((~leq(n0,X8)|~leq(X8,pred(pv10)))|sum(n0,n4,a_select3(q,X8,tptp_sum_index))=n1)))&(?[X9]:((leq(n0,X9)&leq(X9,tptp_minus_1))&a_select3(q,pv10,X9)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X9)),minus(a_select2(x,pv10),a_select2(mu,X9))),tptp_minus_2),times(a_select2(sigma,X9),a_select2(sigma,X9)))),a_select2(rho,X9)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X9))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),inference(variable_rename,status(thm),[c86])).
% 54.94/55.16 fof(c89,negated_conjecture,(![X8]:(((leq(n0,pv10)&leq(pv10,n135299))&((~leq(n0,X8)|~leq(X8,pred(pv10)))|sum(n0,n4,a_select3(q,X8,tptp_sum_index))=n1))&((leq(n0,skolem0001)&leq(skolem0001,tptp_minus_1))&a_select3(q,pv10,skolem0001)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolem0001)),minus(a_select2(x,pv10),a_select2(mu,skolem0001))),tptp_minus_2),times(a_select2(sigma,skolem0001),a_select2(sigma,skolem0001)))),a_select2(rho,skolem0001)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolem0001))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),inference(shift_quantors,status(thm),[fof(c88,negated_conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![X8]:((~leq(n0,X8)|~leq(X8,pred(pv10)))|sum(n0,n4,a_select3(q,X8,tptp_sum_index))=n1)))&((leq(n0,skolem0001)&leq(skolem0001,tptp_minus_1))&a_select3(q,pv10,skolem0001)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolem0001)),minus(a_select2(x,pv10),a_select2(mu,skolem0001))),tptp_minus_2),times(a_select2(sigma,skolem0001),a_select2(sigma,skolem0001)))),a_select2(rho,skolem0001)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolem0001))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))),inference(skolemize,status(esa),[c87])).])).
% 54.94/55.16 cnf(c93,negated_conjecture,leq(n0,skolem0001),inference(split_conjunct,status(thm),[c89])).
% 54.94/55.16 fof(transitivity_leq,axiom,(![X]:(![Y]:(![Z]:((leq(X,Y)&leq(Y,Z))=>leq(X,Z))))),input).
% 54.94/55.16 fof(c469,axiom,(![X]:(![Y]:(![Z]:((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))))),inference(fof_nnf,status(thm),[transitivity_leq])).
% 54.94/55.16 fof(c470,axiom,(![X172]:(![X173]:(![X174]:((~leq(X172,X173)|~leq(X173,X174))|leq(X172,X174))))),inference(variable_rename,status(thm),[c469])).
% 54.94/55.16 cnf(c471,axiom,~leq(X2165,X2166)|~leq(X2166,X2164)|leq(X2165,X2164),inference(split_conjunct,status(thm),[c470])).
% 54.94/55.16 cnf(c41711,plain,~leq(X2704,n0)|leq(X2704,skolem0001),inference(resolution,status(thm),[c471, c93])).
% 54.94/55.16 cnf(symmetry,axiom,X185!=X186|X186=X185,eq_axiom).
% 54.94/55.16 fof(succ_tptp_minus_1,axiom,succ(tptp_minus_1)=n0,input).
% 54.94/55.16 cnf(c166,axiom,succ(tptp_minus_1)=n0,inference(split_conjunct,status(thm),[succ_tptp_minus_1])).
% 54.94/55.16 cnf(c528,plain,n0=succ(tptp_minus_1),inference(resolution,status(thm),[c166, symmetry])).
% 54.94/55.16 cnf(reflexivity,axiom,X182=X182,eq_axiom).
% 54.94/55.16 fof(reflexivity_leq,axiom,(![X]:leq(X,X)),input).
% 54.94/55.16 fof(c472,axiom,(![X175]:leq(X175,X175)),inference(variable_rename,status(thm),[reflexivity_leq])).
% 54.94/55.16 cnf(c473,axiom,leq(X183,X183),inference(split_conjunct,status(thm),[c472])).
% 54.94/55.16 cnf(c23,plain,X299!=X298|X296!=X297|~leq(X299,X296)|leq(X298,X297),eq_axiom).
% 54.94/55.16 cnf(c773,plain,X2730!=X2728|X2730!=X2729|leq(X2728,X2729),inference(resolution,status(thm),[c23, c473])).
% 54.94/55.16 cnf(c59005,plain,X2732!=X2731|leq(X2731,X2732),inference(resolution,status(thm),[c773, reflexivity])).
% 54.94/55.16 cnf(c59073,plain,leq(succ(tptp_minus_1),n0),inference(resolution,status(thm),[c59005, c528])).
% 54.94/55.16 cnf(c59440,plain,leq(succ(tptp_minus_1),skolem0001),inference(resolution,status(thm),[c59073, c41711])).
% 54.94/55.16 cnf(c94,negated_conjecture,leq(skolem0001,tptp_minus_1),inference(split_conjunct,status(thm),[c89])).
% 54.94/55.16 cnf(c41735,plain,~leq(X2858,skolem0001)|leq(X2858,tptp_minus_1),inference(resolution,status(thm),[c471, c94])).
% 54.94/55.16 cnf(c63978,plain,leq(succ(tptp_minus_1),tptp_minus_1),inference(resolution,status(thm),[c41735, c59440])).
% 54.94/55.16 cnf(c64242,plain,gt(tptp_minus_1,tptp_minus_1),inference(resolution,status(thm),[c63978, c133])).
% 54.94/55.16 cnf(c64277,plain,$false,inference(resolution,status(thm),[c64242, c476])).
% 54.94/55.16 # SZS output end CNFRefutation
% 54.94/55.16
% 54.94/55.16 # Initial clauses : 337
% 54.94/55.16 # Processed clauses : 1711
% 54.94/55.16 # Factors computed : 1
% 54.94/55.16 # Resolvents computed: 63803
% 54.94/55.16 # Tautologies deleted: 2
% 54.94/55.16 # Forward subsumed : 1155
% 54.94/55.16 # Backward subsumed : 0
% 54.94/55.16 # -------- CPU Time ---------
% 54.94/55.16 # User time : 54.572 s
% 54.94/55.16 # System time : 0.252 s
% 54.94/55.16 # Total time : 54.824 s
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