0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.36 % Computer : n026.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 14:07:50 UTC 2026 0.13/0.36 % CPUTime : 0.13/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.13/0.41 Running higher-order theorem proving 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p 9.65/1.90 % Version: 3.5.1-ho 9.65/1.90 % Preprocessing class: HSLMSMSMLLLCHSA. 9.65/1.90 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 9.65/1.90 % Starting pre_casc_4 with 720s (4) cores 9.65/1.90 % Starting full_lambda_6 with 180s (1) cores 9.65/1.90 % Starting sh10 with 180s (1) cores 9.65/1.90 % Starting post_as_ho9 with 180s (1) cores 9.65/1.90 % Starting post_as_ho8 with 180s (1) cores 9.65/1.90 % pre_casc_4 with pid 2757328 completed with status 0 9.65/1.90 % Result found by pre_casc_4 9.65/1.90 % Preprocessing class: HSLMSMSMLLLCHSA. 9.65/1.90 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 9.65/1.90 % Starting pre_casc_4 with 720s (4) cores 9.65/1.90 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)) 9.65/1.90 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 9.65/1.90 % Search class: HGHSM-FSLM31-DHSMMFBN 9.65/1.90 % partial match(2): HGHSM-FSLM31-DHSFFFBN 9.65/1.90 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 9.65/1.90 % Starting SubtermCWHack with 65s (1) cores 9.65/1.90 % Starting pre_casc_4 with 73s (1) cores 9.65/1.90 % Starting full_lambda_10 with 127s (1) cores 9.65/1.90 % Starting new_bool_8 with 126s (1) cores 9.65/1.90 % full_lambda_10 with pid 2757338 completed with status 0 9.65/1.90 % Result found by full_lambda_10 9.65/1.90 % Preprocessing class: HSLMSMSMLLLCHSA. 9.65/1.90 % Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 9.65/1.90 % Starting pre_casc_4 with 720s (4) cores 9.65/1.90 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)) 9.65/1.90 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 9.65/1.90 % Search class: HGHSM-FSLM31-DHSMMFBN 9.65/1.90 % partial match(2): HGHSM-FSLM31-DHSFFFBN 9.65/1.90 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 9.65/1.90 % Starting SubtermCWHack with 65s (1) cores 9.65/1.90 % Starting pre_casc_4 with 73s (1) cores 9.65/1.90 % Starting full_lambda_10 with 127s (1) cores 9.65/1.90 % Preprocessing time : 0.010 s 9.65/1.90 % Presaturation interreduction done 9.65/1.90 9.65/1.90 % Proof found! 9.65/1.90 % SZS status Theorem 9.65/1.90 % SZS output start CNFRefutation 9.65/1.90 thf(decl_23, type, is_of: $i > ($i > $o) > $o). 9.65/1.90 thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o). 9.65/1.90 thf(decl_26, type, in: $i > $i > $o). 9.65/1.90 thf(decl_62, type, imp: $o > $o > $o). 9.65/1.90 thf(decl_63, type, d_not: $o > $o). 9.65/1.90 thf(decl_68, type, l_or: $o > $o > $o). 9.65/1.90 thf(decl_78, type, e_is: $i > $i > $i > $o). 9.65/1.90 thf(decl_124, type, nat: $i). 9.65/1.90 thf(decl_125, type, n_is: $i > $i > $o). 9.65/1.90 thf(decl_128, type, n_some: ($i > $o) > $o). 9.65/1.90 thf(decl_148, type, diffprop: $i > $i > $i > $o). 9.65/1.90 thf(decl_149, type, d_29_ii: $i > $i > $o). 9.65/1.90 thf(decl_150, type, iii: $i > $i > $o). 9.65/1.90 thf(decl_163, type, n_ts: $i > $i > $i). 9.65/1.90 thf(decl_190, type, frac: $i). 9.65/1.90 thf(decl_192, type, num: $i > $i). 9.65/1.90 thf(decl_193, type, den: $i > $i). 9.65/1.90 thf(decl_194, type, n_eq: $i > $i > $o). 9.65/1.90 thf(decl_195, type, moref: $i > $i > $o). 9.65/1.90 thf(decl_196, type, lessf: $i > $i > $o). 9.65/1.90 thf(decl_198, type, lesseq: $i > $i > $o). 9.65/1.90 thf(decl_199, type, esk1_0: $i). 9.65/1.90 thf(decl_200, type, esk2_0: $i). 9.65/1.90 thf(decl_201, type, esk3_0: $i). 9.65/1.90 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_d_not)). 9.65/1.90 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:((((X34))=>((X35)))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_imp)). 9.65/1.90 thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_lessf)). 9.65/1.90 thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_iii)). 9.65/1.90 thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_n_eq)). 9.65/1.90 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_l_or)). 9.65/1.90 thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_moref)). 9.65/1.90 thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_d_29_ii)). 9.65/1.90 thf(def_lesseq, axiom, ((lesseq)=(^[X1:$i, X222:$i]:((l_or @ ((lessf @ X1 @ X222)) @ ((n_eq @ X1 @ X222)))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_lesseq)). 9.65/1.90 thf(def_n_is, axiom, ((n_is)=(e_is @ nat)), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_n_is)). 9.65/1.90 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:((((is_of @ X4 @ X3))=>((X2 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_all_of)). 9.65/1.90 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', def_is_of)). 9.65/1.90 thf(satz52, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X477:$i]:((in @ X477 @ frac))) @ (^[X478:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((((((lesseq @ X478 @ X4))=>((lesseq @ X1 @ X4))))<=((lesseq @ X1 @ X478)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', satz52)). 9.65/1.90 thf(satz41g, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X249:$i]:((in @ X249 @ frac))) @ (^[X250:$i]:((((moref @ X1 @ X250))=>((d_not @ ((lesseq @ X1 @ X250))))))))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', satz41g)). 9.65/1.90 thf(satz51a, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X398:$i]:((in @ X398 @ frac))) @ (^[X399:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((((lesseq @ X1 @ X399))=>((((lessf @ X1 @ X4))<=((lessf @ X399 @ X4)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', satz51a)). 9.65/1.90 thf(satz41k, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X257:$i]:((in @ X257 @ frac))) @ (^[X258:$i]:((((d_not @ ((lesseq @ X1 @ X258))))=>((moref @ X1 @ X258))))))))), file('/export/starexec/sandbox2/tmp/tmp.CQW9B6458U/E---3.1_2757285.p', satz41k)). 9.65/1.90 thf(c_0_16, plain, ((d_not)=(^[Z0:$o]:((((((Z0)))=>((~($true)))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 9.65/1.90 thf(c_0_17, plain, ((imp)=(^[Z0:$o, Z1:$o]:((((Z0))=>((Z1)))))), inference(fof_simplification,[status(thm)],[def_imp])). 9.65/1.90 thf(c_0_18, plain, ((lessf)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))), inference(fof_simplification,[status(thm)],[def_lessf])). 9.65/1.90 thf(c_0_19, plain, ((iii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])). 9.65/1.90 thf(c_0_20, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_n_eq])). 9.65/1.90 thf(c_0_21, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((((Z0))))=>((~($true)))))))=>((Z1)))))), inference(fof_simplification,[status(thm)],[def_l_or])). 9.65/1.90 thf(c_0_22, plain, ((d_not)=(^[Z0:$o]:((((((Z0)))=>((~($true)))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])). 9.65/1.90 thf(c_0_23, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])). 9.65/1.90 thf(c_0_24, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])). 9.65/1.90 thf(c_0_25, plain, ((lesseq)=(^[Z0:$i, Z1:$i]:(((((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))))=>((~($true)))))))=>((((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(fof_simplification,[status(thm)],[def_lesseq])). 9.65/1.90 thf(c_0_26, plain, ((lessf)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])). 9.65/1.90 thf(c_0_27, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(apply_def,[status(thm)],[c_0_20, def_n_is])). 9.65/1.90 thf(c_0_28, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((((Z0))))=>((~($true)))))))=>((Z1)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_17]), c_0_22])). 9.65/1.90 thf(c_0_29, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(fof_simplification,[status(thm)],[def_all_of])). 9.65/1.90 thf(c_0_30, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 9.65/1.90 thf(c_0_31, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])). 9.65/1.90 thf(c_0_32, plain, ((lesseq)=(^[Z0:$i, Z1:$i]:(((((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))))=>((~($true)))))))=>((((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_28])). 9.65/1.90 thf(c_0_33, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(apply_def,[status(thm)],[c_0_29, c_0_30])). 9.65/1.90 thf(c_0_34, negated_conjecture, ~((all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X477:$i]:((in @ X477 @ frac))) @ (^[X478:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((((((lesseq @ X478 @ X4))=>((lesseq @ X1 @ X4))))<=((lesseq @ X1 @ X478))))))))))))), inference(assume_negation,[status(cth)],[satz52])). 9.65/1.90 thf(c_0_35, plain, ![X544:$i]:(((in @ X544 @ frac)=>![X543:$i]:(((in @ X543 @ frac)=>((n_some @ (diffprop @ (n_ts @ (num @ X544) @ (den @ X543)) @ (n_ts @ (num @ X543) @ (den @ X544))))=>((((n_some @ (diffprop @ (n_ts @ (num @ X543) @ (den @ X544)) @ (n_ts @ (num @ X544) @ (den @ X543))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X544) @ (den @ X543)) @ (n_ts @ (num @ X543) @ (den @ X544))))=>~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41g]), c_0_31]), c_0_22]), c_0_32]), c_0_33])). 9.65/1.90 thf(c_0_36, negated_conjecture, ~(![X542:$i]:(((in @ X542 @ frac)=>![X541:$i]:(((in @ X541 @ frac)=>![X540:$i]:(((in @ X540 @ frac)=>((((n_some @ (diffprop @ (n_ts @ (num @ X541) @ (den @ X542)) @ (n_ts @ (num @ X542) @ (den @ X541))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X542) @ (den @ X541)) @ (n_ts @ (num @ X541) @ (den @ X542))))=>((((n_some @ (diffprop @ (n_ts @ (num @ X540) @ (den @ X541)) @ (n_ts @ (num @ X541) @ (den @ X540))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X541) @ (den @ X540)) @ (n_ts @ (num @ X540) @ (den @ X541))))=>(((n_some @ (diffprop @ (n_ts @ (num @ X540) @ (den @ X542)) @ (n_ts @ (num @ X542) @ (den @ X540))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X542) @ (den @ X540)) @ (n_ts @ (num @ X540) @ (den @ X542))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_34]), c_0_32]), c_0_33])])). 9.65/1.90 thf(c_0_37, plain, ![X892:$i, X893:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X893) @ (den @ X892)) @ (n_ts @ (num @ X892) @ (den @ X893))))|~($true)|~($true)|~(n_some @ (diffprop @ (n_ts @ (num @ X892) @ (den @ X893)) @ (n_ts @ (num @ X893) @ (den @ X892))))|~(in @ X893 @ frac)|~(in @ X892 @ frac))&(~(e_is @ nat @ (n_ts @ (num @ X892) @ (den @ X893)) @ (n_ts @ (num @ X893) @ (den @ X892)))|~($true)|~(n_some @ (diffprop @ (n_ts @ (num @ X892) @ (den @ X893)) @ (n_ts @ (num @ X893) @ (den @ X892))))|~(in @ X893 @ frac)|~(in @ X892 @ frac)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])])). 9.65/1.90 thf(c_0_38, plain, ![X560:$i]:(((in @ X560 @ frac)=>![X559:$i]:(((in @ X559 @ frac)=>![X558:$i]:(((in @ X558 @ frac)=>((((n_some @ (diffprop @ (n_ts @ (num @ X559) @ (den @ X560)) @ (n_ts @ (num @ X560) @ (den @ X559))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X560) @ (den @ X559)) @ (n_ts @ (num @ X559) @ (den @ X560))))=>((n_some @ (diffprop @ (n_ts @ (num @ X558) @ (den @ X559)) @ (n_ts @ (num @ X559) @ (den @ X558))))=>(n_some @ (diffprop @ (n_ts @ (num @ X558) @ (den @ X560)) @ (n_ts @ (num @ X560) @ (den @ X558)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz51a]), c_0_26]), c_0_32]), c_0_33])])). 9.65/1.90 thf(c_0_39, plain, ![X546:$i]:(((in @ X546 @ frac)=>![X545:$i]:(((in @ X545 @ frac)=>(((((n_some @ (diffprop @ (n_ts @ (num @ X545) @ (den @ X546)) @ (n_ts @ (num @ X546) @ (den @ X545))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X546) @ (den @ X545)) @ (n_ts @ (num @ X545) @ (den @ X546))))=>~($true))=>(n_some @ (diffprop @ (n_ts @ (num @ X546) @ (den @ X545)) @ (n_ts @ (num @ X545) @ (den @ X546))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41k]), c_0_31]), c_0_22]), c_0_32]), c_0_33])). 9.65/1.90 thf(c_0_40, negated_conjecture, ((in @ esk1_0 @ frac)&((in @ esk2_0 @ frac)&((in @ esk3_0 @ frac)&((((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))&(($true)|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))))&((((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0))))|(e_is @ nat @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0))))&(($true)|(e_is @ nat @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)))))&((~(n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0))))|~($true))&~(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])])). 9.65/1.90 thf(c_0_41, plain, ![X4:$i, X1:$i]:((~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~(($true))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~((in @ X4 @ frac))|~((in @ X1 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_37])). 9.65/1.90 thf(c_0_42, plain, ![X907:$i, X908:$i, X909:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X908) @ (den @ X907)) @ (n_ts @ (num @ X907) @ (den @ X908))))|~($true)|(~(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X908)) @ (n_ts @ (num @ X908) @ (den @ X909))))|(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X907)) @ (n_ts @ (num @ X907) @ (den @ X909)))))|~(in @ X909 @ frac)|~(in @ X908 @ frac)|~(in @ X907 @ frac))&(~(e_is @ nat @ (n_ts @ (num @ X907) @ (den @ X908)) @ (n_ts @ (num @ X908) @ (den @ X907)))|(~(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X908)) @ (n_ts @ (num @ X908) @ (den @ X909))))|(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X907)) @ (n_ts @ (num @ X907) @ (den @ X909)))))|~(in @ X909 @ frac)|~(in @ X908 @ frac)|~(in @ X907 @ frac)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])])). 9.65/1.90 thf(c_0_43, plain, ![X894:$i, X895:$i]:(((((n_some @ (diffprop @ (n_ts @ (num @ X895) @ (den @ X894)) @ (n_ts @ (num @ X894) @ (den @ X895))))|(e_is @ nat @ (n_ts @ (num @ X894) @ (den @ X895)) @ (n_ts @ (num @ X895) @ (den @ X894)))|(n_some @ (diffprop @ (n_ts @ (num @ X894) @ (den @ X895)) @ (n_ts @ (num @ X895) @ (den @ X894))))|~(in @ X895 @ frac)|~(in @ X894 @ frac))&(($true)|(e_is @ nat @ (n_ts @ (num @ X894) @ (den @ X895)) @ (n_ts @ (num @ X895) @ (den @ X894)))|(n_some @ (diffprop @ (n_ts @ (num @ X894) @ (den @ X895)) @ (n_ts @ (num @ X895) @ (den @ X894))))|~(in @ X895 @ frac)|~(in @ X894 @ frac)))&(($true)|(n_some @ (diffprop @ (n_ts @ (num @ X894) @ (den @ X895)) @ (n_ts @ (num @ X895) @ (den @ X894))))|~(in @ X895 @ frac)|~(in @ X894 @ frac)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])). 9.65/1.90 thf(c_0_44, negated_conjecture, (~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)))))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_40])). 9.65/1.90 thf(c_0_45, plain, ![X1:$i, X4:$i]:((~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~(($true))|~(($true))|~((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_37])). 9.65/1.90 thf(c_0_46, plain, ![X4:$i, X1:$i]:((~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))), inference(cn,[status(thm)],[c_0_41])). 9.65/1.90 thf(c_0_47, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_40])). 9.65/1.90 thf(c_0_48, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_40])). 9.65/1.90 thf(c_0_49, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_40])). 9.65/1.90 thf(c_0_50, plain, ![X1:$i, X5:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X5))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~(($true))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X5)))))|~((in @ X5 @ frac))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_42])). 9.65/1.90 thf(c_0_51, negated_conjecture, ~((e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_40])). 9.65/1.90 thf(c_0_52, plain, ![X1:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|(e_is @ nat @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))|(n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4))))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_43])). 9.65/1.90 thf(c_0_53, negated_conjecture, (in @ esk3_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_40])). 9.65/1.90 thf(c_0_54, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0))))), inference(cn,[status(thm)],[c_0_44])). 9.65/1.90 thf(c_0_55, plain, ![X5:$i, X4:$i, X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X5))))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X5)))))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_42])). 9.65/1.90 thf(c_0_56, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0))))|(e_is @ nat @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_40])). 9.65/1.90 thf(c_0_57, plain, ![X4:$i, X1:$i]:((~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))))), inference(cn,[status(thm)],[c_0_45])). 9.65/1.90 thf(c_0_58, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))|~((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49])])). 9.65/1.90 thf(c_0_59, plain, ![X5:$i, X4:$i, X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X5))))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X5)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))))), inference(cn,[status(thm)],[c_0_50])). 9.65/1.90 thf(c_0_60, negated_conjecture, (n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_49]), c_0_53])]), c_0_54])). 9.65/1.90 thf(c_0_61, negated_conjecture, ![X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0))))|(n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ X1))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ X1)))))|~((in @ X1 @ frac)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_53]), c_0_48])])). 9.65/1.90 thf(c_0_62, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_48]), c_0_49])])). 9.65/1.90 thf(c_0_63, negated_conjecture, ![X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ esk1_0))))|~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ esk3_0)))))|~((in @ X1 @ frac)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_49]), c_0_53])])). 9.65/1.90 thf(c_0_64, negated_conjecture, (n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_60]), c_0_49])]), c_0_62])). 9.65/1.90 thf(c_0_65, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_48])]), c_0_62]), ['proof']). 9.65/1.90 % SZS output end CNFRefutation 9.65/1.90 % Parsed axioms : 569 9.65/1.90 % Removed by relevancy pruning/SinE : 395 9.65/1.90 % Initial clauses : 304 9.65/1.90 % Removed in clause preprocessing : 88 9.65/1.90 % Initial clauses in saturation : 216 9.65/1.90 % Processed clauses : 1757 9.65/1.90 % ...of these trivial : 11 9.65/1.90 % ...subsumed : 831 9.65/1.90 % ...remaining for further processing : 915 9.65/1.90 % Other redundant clauses eliminated : 13 9.65/1.90 % Clauses deleted for lack of memory : 0 9.65/1.90 % Backward-subsumed : 29 9.65/1.90 % Backward-rewritten : 16 9.65/1.90 % Generated clauses : 10894 9.65/1.90 % ...of the previous two non-redundant : 10441 9.65/1.90 % ...aggressively subsumed : 0 9.65/1.90 % Contextual simplify-reflections : 113 9.65/1.90 % Paramodulations : 10807 9.65/1.90 % Factorizations : 2 9.65/1.90 % NegExts : 10 9.65/1.90 % Equation resolutions : 18 9.65/1.90 % Disequality decompositions : 0 9.65/1.90 % Total rewrite steps : 2231 9.65/1.90 % ...of those cached : 2196 9.65/1.90 % Propositional unsat checks : 0 9.65/1.90 % Propositional check models : 0 9.65/1.90 % Propositional check unsatisfiable : 0 9.65/1.90 % Propositional clauses : 0 9.65/1.90 % Propositional clauses after purity: 0 9.65/1.90 % Propositional unsat core size : 0 9.65/1.90 % Propositional preprocessing time : 0.000 9.65/1.90 % Propositional encoding time : 0.000 9.65/1.90 % Propositional solver time : 0.000 9.65/1.90 % Success case prop preproc time : 0.000 9.65/1.90 % Success case prop encoding time : 0.000 9.65/1.90 % Success case prop solver time : 0.000 9.65/1.90 % Current number of processed clauses : 728 9.65/1.90 % Positive orientable unit clauses : 36 9.65/1.90 % Positive unorientable unit clauses: 6 9.65/1.90 % Negative unit clauses : 9 9.65/1.90 % Non-unit-clauses : 677 9.65/1.90 % Current number of unprocessed clauses: 8974 9.65/1.90 % ...number of literals in the above : 69024 9.65/1.90 % Current number of archived formulas : 0 9.65/1.90 % Current number of archived clauses : 187 9.65/1.90 % Clause-clause subsumption calls (NU) : 289657 9.65/1.90 % Rec. Clause-clause subsumption calls : 29521 9.65/1.90 % Non-unit clause-clause subsumptions : 876 9.65/1.90 % Unit Clause-clause subsumption calls : 722 9.65/1.90 % Rewrite failures with RHS unbound : 0 9.65/1.90 % BW rewrite match attempts : 72 9.65/1.90 % BW rewrite match successes : 15 9.65/1.90 % Condensation attempts : 1757 9.65/1.90 % Condensation successes : 6 9.65/1.90 % Termbank termtop insertions : 1991078 9.65/1.90 % Search garbage collected termcells : 28348 9.65/1.90 9.65/1.90 % ------------------------------------------------- 9.65/1.90 % User time : 1.172 s 9.65/1.90 % System time : 0.035 s 9.65/1.90 % Total time : 1.207 s 9.65/1.90 % Maximum resident set size: 8264 pages 9.65/1.90 9.65/1.90 % ------------------------------------------------- 9.65/1.90 % User time : 4.775 s 9.65/1.90 % System time : 0.119 s 9.65/1.90 % Total time : 4.894 s 9.65/1.90 % Maximum resident set size: 5888 pages 9.65/1.90 % E exiting 10.40/1.90 EOF