0.08/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.12	% Command    : run_E %s %d THM
0.12/0.34	% Computer : n007.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1440
0.12/0.34	% WCLimit    : 180
0.12/0.34	% DateTime   : Thu Jul  4 10:23:09 EDT 2024
0.12/0.34	% CPUTime    : 
0.21/0.49	Running higher-order theorem proving
0.21/0.54	Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p
4.73/1.22	# Version: 3.2.0-ho
4.73/1.22	# Preprocessing class: HSLMSMSMLLLCHSA.
4.73/1.22	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
4.73/1.22	# Starting pre_casc_4 with 720s (4) cores
4.73/1.22	# Starting full_lambda_6 with 180s (1) cores
4.73/1.22	# Starting sh10 with 180s (1) cores
4.73/1.22	# Starting post_as_ho9 with 180s (1) cores
4.73/1.22	# Starting post_as_ho8 with 180s (1) cores
4.73/1.22	# post_as_ho8 with pid 29385 completed with status 0
4.73/1.22	# Result found by post_as_ho8
4.73/1.22	# Preprocessing class: HSLMSMSMLLLCHSA.
4.73/1.22	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
4.73/1.22	# Starting pre_casc_4 with 720s (4) cores
4.73/1.22	# Starting full_lambda_6 with 180s (1) cores
4.73/1.22	# Starting sh10 with 180s (1) cores
4.73/1.22	# Starting post_as_ho9 with 180s (1) cores
4.73/1.22	# Starting post_as_ho8 with 180s (1) cores
4.73/1.22	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
4.73/1.22	# Search class: HGHSM-FSLM31-MHSMMFBN
4.73/1.22	# partial match(1): HGHSM-FSLM31-MHSMMSBN
4.73/1.22	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
4.73/1.22	# Starting new_ho_10_cnf2 with 94s (1) cores
4.73/1.22	# new_ho_10_cnf2 with pid 29391 completed with status 0
4.73/1.22	# Result found by new_ho_10_cnf2
4.73/1.22	# Preprocessing class: HSLMSMSMLLLCHSA.
4.73/1.22	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
4.73/1.22	# Starting pre_casc_4 with 720s (4) cores
4.73/1.22	# Starting full_lambda_6 with 180s (1) cores
4.73/1.22	# Starting sh10 with 180s (1) cores
4.73/1.22	# Starting post_as_ho9 with 180s (1) cores
4.73/1.22	# Starting post_as_ho8 with 180s (1) cores
4.73/1.22	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
4.73/1.22	# Search class: HGHSM-FSLM31-MHSMMFBN
4.73/1.22	# partial match(1): HGHSM-FSLM31-MHSMMSBN
4.73/1.22	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
4.73/1.22	# Starting new_ho_10_cnf2 with 94s (1) cores
4.73/1.22	# Preprocessing time       : 0.007 s
4.73/1.22	# Presaturation interreduction done
4.73/1.22	
4.73/1.22	# Proof found!
4.73/1.22	# SZS status Theorem
4.73/1.22	# SZS output start CNFRefutation
4.73/1.22	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
4.73/1.22	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
4.73/1.22	thf(decl_25, type, in: $i > $i > $o).
4.73/1.22	thf(decl_61, type, imp: $o > $o > $o).
4.73/1.22	thf(decl_62, type, d_not: $o > $o).
4.73/1.22	thf(decl_67, type, l_or: $o > $o > $o).
4.73/1.22	thf(decl_77, type, e_is: $i > $i > $i > $o).
4.73/1.22	thf(decl_123, type, nat: $i).
4.73/1.22	thf(decl_124, type, n_is: $i > $i > $o).
4.73/1.22	thf(decl_127, type, n_some: ($i > $o) > $o).
4.73/1.22	thf(decl_147, type, diffprop: $i > $i > $i > $o).
4.73/1.22	thf(decl_148, type, d_29_ii: $i > $i > $o).
4.73/1.22	thf(decl_149, type, iii: $i > $i > $o).
4.73/1.22	thf(decl_162, type, n_ts: $i > $i > $i).
4.73/1.22	thf(decl_189, type, frac: $i).
4.73/1.22	thf(decl_191, type, num: $i > $i).
4.73/1.22	thf(decl_192, type, den: $i > $i).
4.73/1.22	thf(decl_193, type, n_eq: $i > $i > $o).
4.73/1.22	thf(decl_194, type, moref: $i > $i > $o).
4.73/1.22	thf(decl_195, type, lessf: $i > $i > $o).
4.73/1.22	thf(decl_197, type, lesseq: $i > $i > $o).
4.73/1.22	thf(decl_198, type, esk1_0: $i).
4.73/1.22	thf(decl_199, type, esk2_0: $i).
4.73/1.22	thf(decl_200, type, esk3_0: $i).
4.73/1.22	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_d_not)).
4.73/1.22	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_imp)).
4.73/1.22	thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_lessf)).
4.73/1.22	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_iii)).
4.73/1.22	thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_n_eq)).
4.73/1.22	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_l_or)).
4.73/1.22	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_all_of)).
4.73/1.22	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_is_of)).
4.73/1.22	thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_moref)).
4.73/1.22	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_d_29_ii)).
4.73/1.22	thf(def_lesseq, axiom, ((lesseq)=(^[X1:$i, X222:$i]:((l_or @ ((lessf @ X1 @ X222)) @ ((n_eq @ X1 @ X222)))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_lesseq)).
4.73/1.22	thf(def_n_is, axiom, ((n_is)=(e_is @ nat)), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', def_n_is)).
4.73/1.22	thf(satz41g, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X263:$i]:((in @ X263 @ frac))) @ (^[X264:$i]:(((d_not @ ((lesseq @ X1 @ X264)))<=(moref @ X1 @ X264)))))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', satz41g)).
4.73/1.22	thf(satz52, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X370:$i]:((in @ X370 @ frac))) @ (^[X371:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((((lesseq @ X1 @ X4)<=(lesseq @ X371 @ X4))<=(lesseq @ X1 @ X371))))))))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', satz52)).
4.73/1.22	thf(satz51a, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X392:$i]:((in @ X392 @ frac))) @ (^[X393:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:(((lesseq @ X1 @ X393)=>((lessf @ X393 @ X4)=>(lessf @ X1 @ X4)))))))))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', satz51a)).
4.73/1.22	thf(satz41k, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X324:$i]:((in @ X324 @ frac))) @ (^[X325:$i]:(((moref @ X1 @ X325)<=(d_not @ ((lesseq @ X1 @ X325)))))))))), file('/export/starexec/sandbox/tmp/tmp.LmcNOh00MU/E---3.1_29302.p', satz41k)).
4.73/1.22	thf(c_0_16, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
4.73/1.22	thf(c_0_17, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
4.73/1.22	thf(c_0_18, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))), inference(fof_simplification,[status(thm)],[def_lessf])).
4.73/1.22	thf(c_0_19, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((n_some @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])).
4.73/1.22	thf(c_0_20, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_n_eq])).
4.73/1.22	thf(c_0_21, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
4.73/1.22	thf(c_0_22, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])).
4.73/1.22	thf(c_0_23, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
4.73/1.22	thf(c_0_24, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
4.73/1.22	thf(c_0_25, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])).
4.73/1.22	thf(c_0_26, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
4.73/1.22	thf(c_0_27, plain, ((lesseq)=(^[Z0/* 19 */:$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])).
4.73/1.22	thf(c_0_28, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$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])).
4.73/1.22	thf(c_0_29, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$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])).
4.73/1.22	thf(c_0_30, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_17]), c_0_22])).
4.73/1.22	thf(c_0_31, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])).
4.73/1.22	thf(c_0_32, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_25, c_0_26])).
4.73/1.22	thf(c_0_33, plain, ((lesseq)=(^[Z0/* 19 */:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1))))))))=>(~($true)))))=>(((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_28]), c_0_29]), c_0_30])).
4.73/1.22	thf(c_0_34, plain, ![X544:$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))))=>~($true))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41g]), c_0_31]), c_0_22]), c_0_32]), c_0_33])])).
4.73/1.22	thf(c_0_35, negated_conjecture, ~(![X542:$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))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X542) @ (den @ X540)) @ (n_ts @ (num @ X540) @ (den @ X542))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz52])]), c_0_31]), c_0_33])])).
4.73/1.22	thf(c_0_36, plain, ![X892:$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_34])])])])])).
4.73/1.22	thf(c_0_37, plain, ![X551:$i]:(((in @ X551 @ frac)=>![X550:$i]:(((in @ X550 @ frac)=>![X549:$i]:(((in @ X549 @ frac)=>((((n_some @ (diffprop @ (n_ts @ (num @ X550) @ (den @ X551)) @ (n_ts @ (num @ X551) @ (den @ X550))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X551) @ (den @ X550)) @ (n_ts @ (num @ X550) @ (den @ X551))))=>((n_some @ (diffprop @ (n_ts @ (num @ X549) @ (den @ X550)) @ (n_ts @ (num @ X550) @ (den @ X549))))=>(n_some @ (diffprop @ (n_ts @ (num @ X549) @ (den @ X551)) @ (n_ts @ (num @ X551) @ (den @ X549)))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz51a]), c_0_31]), c_0_28]), c_0_33])).
4.73/1.22	thf(c_0_38, plain, ![X548:$i]:(((in @ X548 @ frac)=>![X547:$i]:(((in @ X547 @ frac)=>(((((n_some @ (diffprop @ (n_ts @ (num @ X547) @ (den @ X548)) @ (n_ts @ (num @ X548) @ (den @ X547))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X548) @ (den @ X547)) @ (n_ts @ (num @ X547) @ (den @ X548))))=>~($true))=>(n_some @ (diffprop @ (n_ts @ (num @ X548) @ (den @ X547)) @ (n_ts @ (num @ X547) @ (den @ X548))))))))), inference(fof_simplification,[status(thm)],[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])])).
4.73/1.22	thf(c_0_39, 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))))|~($true))&~(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])])).
4.73/1.22	thf(c_0_40, plain, ![X4:$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_36])).
4.73/1.22	thf(c_0_41, plain, ![X898:$i, X899:$i, X900:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X899) @ (den @ X898)) @ (n_ts @ (num @ X898) @ (den @ X899))))|~($true)|(~(n_some @ (diffprop @ (n_ts @ (num @ X900) @ (den @ X899)) @ (n_ts @ (num @ X899) @ (den @ X900))))|(n_some @ (diffprop @ (n_ts @ (num @ X900) @ (den @ X898)) @ (n_ts @ (num @ X898) @ (den @ X900)))))|~(in @ X900 @ frac)|~(in @ X899 @ frac)|~(in @ X898 @ frac))&(~(e_is @ nat @ (n_ts @ (num @ X898) @ (den @ X899)) @ (n_ts @ (num @ X899) @ (den @ X898)))|(~(n_some @ (diffprop @ (n_ts @ (num @ X900) @ (den @ X899)) @ (n_ts @ (num @ X899) @ (den @ X900))))|(n_some @ (diffprop @ (n_ts @ (num @ X900) @ (den @ X898)) @ (n_ts @ (num @ X898) @ (den @ X900)))))|~(in @ X900 @ frac)|~(in @ X899 @ frac)|~(in @ X898 @ 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_37])])])])])).
4.73/1.22	thf(c_0_42, plain, ![X896:$i, X897:$i]:(((((n_some @ (diffprop @ (n_ts @ (num @ X897) @ (den @ X896)) @ (n_ts @ (num @ X896) @ (den @ X897))))|(e_is @ nat @ (n_ts @ (num @ X896) @ (den @ X897)) @ (n_ts @ (num @ X897) @ (den @ X896)))|(n_some @ (diffprop @ (n_ts @ (num @ X896) @ (den @ X897)) @ (n_ts @ (num @ X897) @ (den @ X896))))|~(in @ X897 @ frac)|~(in @ X896 @ frac))&(($true)|(e_is @ nat @ (n_ts @ (num @ X896) @ (den @ X897)) @ (n_ts @ (num @ X897) @ (den @ X896)))|(n_some @ (diffprop @ (n_ts @ (num @ X896) @ (den @ X897)) @ (n_ts @ (num @ X897) @ (den @ X896))))|~(in @ X897 @ frac)|~(in @ X896 @ frac)))&(($true)|(n_some @ (diffprop @ (n_ts @ (num @ X896) @ (den @ X897)) @ (n_ts @ (num @ X897) @ (den @ X896))))|~(in @ X897 @ frac)|~(in @ X896 @ 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])])])])])).
4.73/1.22	thf(c_0_43, negated_conjecture, (~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)))))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_39])).
4.73/1.22	thf(c_0_44, plain, ![X1:$i, X4:$i]:((~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~(($true))|~(($true))|~((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_36])).
4.73/1.22	thf(c_0_45, plain, ![X4:$i, X1:$i]:((~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))), inference(cn,[status(thm)],[c_0_40])).
4.73/1.22	thf(c_0_46, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_39])).
4.73/1.22	thf(c_0_47, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_39])).
4.73/1.22	thf(c_0_48, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_39])).
4.73/1.22	thf(c_0_49, plain, ![X1:$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)))))|~(($true))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X5)))))|~((in @ X5 @ frac))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_41])).
4.73/1.22	thf(c_0_50, negated_conjecture, ~((e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_39])).
4.73/1.22	thf(c_0_51, plain, ![X1:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|(e_is @ nat @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))|(n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4))))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_42])).
4.73/1.22	thf(c_0_52, negated_conjecture, (in @ esk3_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_39])).
4.73/1.22	thf(c_0_53, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0))))), inference(cn,[status(thm)],[c_0_43])).
4.73/1.22	thf(c_0_54, plain, ![X5:$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_41])).
4.73/1.22	thf(c_0_55, 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_39])).
4.73/1.22	thf(c_0_56, 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_44])).
4.73/1.22	thf(c_0_57, 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_45, c_0_46]), c_0_47]), c_0_48])])).
4.73/1.22	thf(c_0_58, plain, ![X5:$i, X4:$i, X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X5))))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X5)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))))), inference(cn,[status(thm)],[c_0_49])).
4.73/1.22	thf(c_0_59, negated_conjecture, (n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_48]), c_0_52])]), c_0_53])).
4.73/1.22	thf(c_0_60, negated_conjecture, ![X1:$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_54, c_0_55]), c_0_52]), c_0_47])])).
4.73/1.22	thf(c_0_61, 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_56, c_0_57]), c_0_47]), c_0_48])])).
4.73/1.22	thf(c_0_62, negated_conjecture, ![X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ esk1_0))))|~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ esk3_0)))))|~((in @ X1 @ frac)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_48]), c_0_52])])).
4.73/1.22	thf(c_0_63, negated_conjecture, (n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_59]), c_0_48])]), c_0_61])).
4.73/1.22	thf(c_0_64, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_47])]), c_0_61]), ['proof']).
4.73/1.22	# SZS output end CNFRefutation
4.73/1.22	# Parsed axioms                        : 569
4.73/1.22	# Removed by relevancy pruning/SinE    : 395
4.73/1.22	# Initial clauses                      : 320
4.73/1.22	# Removed in clause preprocessing      : 89
4.73/1.22	# Initial clauses in saturation        : 231
4.73/1.22	# Processed clauses                    : 1651
4.73/1.22	# ...of these trivial                  : 24
4.73/1.22	# ...subsumed                          : 720
4.73/1.22	# ...remaining for further processing  : 907
4.73/1.22	# Other redundant clauses eliminated   : 1
4.73/1.22	# Clauses deleted for lack of memory   : 0
4.73/1.22	# Backward-subsumed                    : 50
4.73/1.22	# Backward-rewritten                   : 19
4.73/1.22	# Generated clauses                    : 9394
4.73/1.22	# ...of the previous two non-redundant : 9025
4.73/1.22	# ...aggressively subsumed             : 0
4.73/1.22	# Contextual simplify-reflections      : 121
4.73/1.22	# Paramodulations                      : 9385
4.73/1.22	# Factorizations                       : 0
4.73/1.22	# NegExts                              : 0
4.73/1.22	# Equation resolutions                 : 3
4.73/1.22	# Disequality decompositions           : 0
4.73/1.22	# Total rewrite steps                  : 2315
4.73/1.22	# ...of those cached                   : 2152
4.73/1.22	# Propositional unsat checks           : 0
4.73/1.22	#    Propositional check models        : 0
4.73/1.22	#    Propositional check unsatisfiable : 0
4.73/1.22	#    Propositional clauses             : 0
4.73/1.22	#    Propositional clauses after purity: 0
4.73/1.22	#    Propositional unsat core size     : 0
4.73/1.22	#    Propositional preprocessing time  : 0.000
4.73/1.22	#    Propositional encoding time       : 0.000
4.73/1.22	#    Propositional solver time         : 0.000
4.73/1.22	#    Success case prop preproc time    : 0.000
4.73/1.22	#    Success case prop encoding time   : 0.000
4.73/1.22	#    Success case prop solver time     : 0.000
4.73/1.22	# Current number of processed clauses  : 691
4.73/1.22	#    Positive orientable unit clauses  : 72
4.73/1.22	#    Positive unorientable unit clauses: 1
4.73/1.22	#    Negative unit clauses             : 10
4.73/1.22	#    Non-unit-clauses                  : 608
4.73/1.22	# Current number of unprocessed clauses: 7618
4.73/1.22	# ...number of literals in the above   : 61113
4.73/1.22	# Current number of archived formulas  : 0
4.73/1.22	# Current number of archived clauses   : 215
4.73/1.22	# Clause-clause subsumption calls (NU) : 235446
4.73/1.22	# Rec. Clause-clause subsumption calls : 26743
4.73/1.22	# Non-unit clause-clause subsumptions  : 817
4.73/1.22	# Unit Clause-clause subsumption calls : 1186
4.73/1.22	# Rewrite failures with RHS unbound    : 0
4.73/1.22	# BW rewrite match attempts            : 121
4.73/1.22	# BW rewrite match successes           : 5
4.73/1.22	# Condensation attempts                : 1651
4.73/1.22	# Condensation successes               : 8
4.73/1.22	# Termbank termtop insertions          : 551606
4.73/1.22	# Search garbage collected termcells   : 28708
4.73/1.22	
4.73/1.22	# -------------------------------------------------
4.73/1.22	# User time                : 0.484 s
4.73/1.22	# System time              : 0.014 s
4.73/1.22	# Total time               : 0.498 s
4.73/1.22	# Maximum resident set size: 6748 pages
4.73/1.22	
4.73/1.22	# -------------------------------------------------
4.73/1.22	# User time                : 0.500 s
4.73/1.22	# System time              : 0.017 s
4.73/1.22	# Total time               : 0.517 s
4.73/1.22	# Maximum resident set size: 2752 pages
4.73/1.22	% E---3.1 exiting
4.73/1.22	% E exiting
4.73/1.22	EOF