0.08/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n029.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 09:18:34 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.48 Running higher-order theorem proving 0.19/0.55 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=240 /export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p 1.15/0.78 # Version: 3.0.0-ho 1.15/0.78 # Preprocessing class: HSLMSMSMLLLCHSA. 1.15/0.78 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 1.15/0.78 # Starting pre_casc_4 with 960s (4) cores 1.15/0.78 # Starting full_lambda_6 with 240s (1) cores 1.15/0.78 # Starting sh10 with 240s (1) cores 1.15/0.78 # Starting post_as_ho9 with 240s (1) cores 1.15/0.78 # Starting post_as_ho8 with 240s (1) cores 1.15/0.78 # pre_casc_4 with pid 11633 completed with status 0 1.15/0.78 # Result found by pre_casc_4 1.15/0.78 # Preprocessing class: HSLMSMSMLLLCHSA. 1.15/0.78 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 1.15/0.78 # Starting pre_casc_4 with 960s (4) cores 1.15/0.78 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 1.15/0.78 # Search class: HGHSM-FSLM31-DHSMMFBN 1.15/0.78 # partial match(2): HGHSM-FSLM31-DHSFFFBN 1.15/0.78 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 1.15/0.78 # Starting sh1l with 285s (1) cores 1.15/0.78 # Starting pre_casc_4 with 97s (1) cores 1.15/0.78 # Starting new_bool_8 with 168s (1) cores 1.15/0.78 # Starting new_bool_9 with 166s (1) cores 1.15/0.78 # new_bool_8 with pid 11645 completed with status 0 1.15/0.78 # Result found by new_bool_8 1.15/0.78 # Preprocessing class: HSLMSMSMLLLCHSA. 1.15/0.78 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 1.15/0.78 # Starting pre_casc_4 with 960s (4) cores 1.15/0.78 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 1.15/0.78 # Search class: HGHSM-FSLM31-DHSMMFBN 1.15/0.78 # partial match(2): HGHSM-FSLM31-DHSFFFBN 1.15/0.78 # Scheduled 6 strats onto 4 cores with 960 seconds (960 total) 1.15/0.78 # Starting sh1l with 285s (1) cores 1.15/0.78 # Starting pre_casc_4 with 97s (1) cores 1.15/0.78 # Starting new_bool_8 with 168s (1) cores 1.15/0.78 # Preprocessing time : 0.009 s 1.15/0.78 # Presaturation interreduction done 1.15/0.78 1.15/0.78 # Proof found! 1.15/0.78 # SZS status Theorem 1.15/0.78 # SZS output start CNFRefutation 1.15/0.78 thf(decl_23, type, is_of: $i > ($i > $o) > $o). 1.15/0.78 thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o). 1.15/0.78 thf(decl_26, type, in: $i > $i > $o). 1.15/0.78 thf(decl_62, type, imp: $o > $o > $o). 1.15/0.78 thf(decl_63, type, d_not: $o > $o). 1.15/0.78 thf(decl_68, type, l_or: $o > $o > $o). 1.15/0.78 thf(decl_78, type, e_is: $i > $i > $i > $o). 1.15/0.78 thf(decl_124, type, nat: $i). 1.15/0.78 thf(decl_125, type, n_is: $i > $i > $o). 1.15/0.78 thf(decl_128, type, n_some: ($i > $o) > $o). 1.15/0.78 thf(decl_148, type, diffprop: $i > $i > $i > $o). 1.15/0.78 thf(decl_149, type, d_29_ii: $i > $i > $o). 1.15/0.78 thf(decl_163, type, n_ts: $i > $i > $i). 1.15/0.78 thf(decl_190, type, frac: $i). 1.15/0.78 thf(decl_192, type, num: $i > $i). 1.15/0.78 thf(decl_193, type, den: $i > $i). 1.15/0.78 thf(decl_194, type, n_eq: $i > $i > $o). 1.15/0.78 thf(decl_195, type, moref: $i > $i > $o). 1.15/0.78 thf(decl_197, type, moreq: $i > $i > $o). 1.15/0.78 thf(decl_199, type, n_pf: $i > $i > $i). 1.15/0.78 thf(decl_200, type, esk1_0: $i). 1.15/0.78 thf(decl_201, type, esk2_0: $i). 1.15/0.78 thf(decl_202, type, esk3_0: $i). 1.15/0.78 thf(decl_203, type, esk4_0: $i). 1.15/0.78 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_d_not)). 1.15/0.78 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_imp)). 1.15/0.78 thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_moref)). 1.15/0.78 thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_d_29_ii)). 1.15/0.78 thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_n_eq)). 1.15/0.78 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_l_or)). 1.15/0.78 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.4tvImqfrlZ/E---3.1_11519.p', def_all_of)). 1.15/0.78 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_is_of)). 1.15/0.78 thf(def_moreq, axiom, ((moreq)=(^[X1:$i, X221:$i]:((l_or @ ((moref @ X1 @ X221)) @ ((n_eq @ X1 @ X221)))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_moreq)). 1.15/0.78 thf(def_n_is, axiom, ((n_is)=(e_is @ nat)), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', def_n_is)). 1.15/0.78 thf(satz66, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X256:$i]:((in @ X256 @ frac))) @ (^[X257:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:((((moreq @ (n_pf @ X1 @ X4) @ (n_pf @ X257 @ X10))<=(moreq @ X4 @ X10))<=(moreq @ X1 @ X257)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', satz66)). 1.15/0.78 thf(satz65b, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X389:$i]:((in @ X389 @ frac))) @ (^[X390:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:((((moref @ (n_pf @ X1 @ X4) @ (n_pf @ X390 @ X10))<=(moreq @ X4 @ X10))<=(moref @ X1 @ X390)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', satz65b)). 1.15/0.78 thf(satz56, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X503:$i]:((in @ X503 @ frac))) @ (^[X504:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:(((n_eq @ X1 @ X504)=>((n_eq @ (n_pf @ X1 @ X4) @ (n_pf @ X504 @ X10))<=(n_eq @ X4 @ X10))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', satz56)). 1.15/0.78 thf(satz65a, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X472:$i]:((in @ X472 @ frac))) @ (^[X473:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:((((moref @ X4 @ X10)=>(moref @ (n_pf @ X1 @ X4) @ (n_pf @ X473 @ X10)))<=(moreq @ X1 @ X473)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4tvImqfrlZ/E---3.1_11519.p', satz65a)). 1.15/0.78 thf(c_0_14, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 1.15/0.78 thf(c_0_15, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 1.15/0.78 thf(c_0_16, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])). 1.15/0.78 thf(c_0_17, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])). 1.15/0.78 thf(c_0_18, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_n_eq])). 1.15/0.78 thf(c_0_19, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 1.15/0.78 thf(c_0_20, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])). 1.15/0.78 thf(c_0_21, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 1.15/0.78 thf(c_0_22, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 1.15/0.78 thf(c_0_23, plain, ((moreq)=(^[Z0/* 19 */:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(~($true)))))=>(((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(fof_simplification,[status(thm)],[def_moreq])). 1.15/0.78 thf(c_0_24, 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_16, c_0_17])). 1.15/0.78 thf(c_0_25, 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_18, def_n_is])). 1.15/0.78 thf(c_0_26, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19, c_0_15]), c_0_20])). 1.15/0.78 thf(c_0_27, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])). 1.15/0.78 thf(c_0_28, plain, ((moreq)=(^[Z0/* 19 */:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(~($true)))))=>(((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23, c_0_24]), c_0_25]), c_0_26])). 1.15/0.78 thf(c_0_29, negated_conjecture, ~(![X608:$i]:(((in @ X608 @ frac)=>![X607:$i]:(((in @ X607 @ frac)=>![X606:$i]:(((in @ X606 @ frac)=>![X605:$i]:(((in @ X605 @ frac)=>((((n_some @ (diffprop @ (n_ts @ (num @ X608) @ (den @ X607)) @ (n_ts @ (num @ X607) @ (den @ X608))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X608) @ (den @ X607)) @ (n_ts @ (num @ X607) @ (den @ X608))))=>((((n_some @ (diffprop @ (n_ts @ (num @ X606) @ (den @ X605)) @ (n_ts @ (num @ X605) @ (den @ X606))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X606) @ (den @ X605)) @ (n_ts @ (num @ X605) @ (den @ X606))))=>(((n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X608 @ X606)) @ (den @ (n_pf @ X607 @ X605))) @ (n_ts @ (num @ (n_pf @ X607 @ X605)) @ (den @ (n_pf @ X608 @ X606)))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ (n_pf @ X608 @ X606)) @ (den @ (n_pf @ X607 @ X605))) @ (n_ts @ (num @ (n_pf @ X607 @ X605)) @ (den @ (n_pf @ X608 @ X606)))))))))))))))), 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)],[satz66])]), c_0_27]), c_0_28])])). 1.15/0.78 thf(c_0_30, negated_conjecture, ((in @ esk1_0 @ frac)&((in @ esk2_0 @ frac)&((in @ esk3_0 @ frac)&((in @ esk4_0 @ frac)&((((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))&(($true)|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))))&((((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0))))|(e_is @ nat @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0))))&(($true)|(e_is @ nat @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0)))))&((~(n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ esk1_0 @ esk3_0)) @ (den @ (n_pf @ esk2_0 @ esk4_0))) @ (n_ts @ (num @ (n_pf @ esk2_0 @ esk4_0)) @ (den @ (n_pf @ esk1_0 @ esk3_0)))))|~($true))&~(e_is @ nat @ (n_ts @ (num @ (n_pf @ esk1_0 @ esk3_0)) @ (den @ (n_pf @ esk2_0 @ esk4_0))) @ (n_ts @ (num @ (n_pf @ esk2_0 @ esk4_0)) @ (den @ (n_pf @ esk1_0 @ esk3_0))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])). 1.15/0.78 thf(c_0_31, plain, ![X622:$i]:(((in @ X622 @ frac)=>![X621:$i]:(((in @ X621 @ frac)=>![X620:$i]:(((in @ X620 @ frac)=>![X619:$i]:(((in @ X619 @ frac)=>((n_some @ (diffprop @ (n_ts @ (num @ X622) @ (den @ X621)) @ (n_ts @ (num @ X621) @ (den @ X622))))=>((((n_some @ (diffprop @ (n_ts @ (num @ X620) @ (den @ X619)) @ (n_ts @ (num @ X619) @ (den @ X620))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X620) @ (den @ X619)) @ (n_ts @ (num @ X619) @ (den @ X620))))=>(n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X622 @ X620)) @ (den @ (n_pf @ X621 @ X619))) @ (n_ts @ (num @ (n_pf @ X621 @ X619)) @ (den @ (n_pf @ X622 @ X620))))))))))))))), 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)],[satz65b]), c_0_27]), c_0_24]), c_0_28])])). 1.15/0.78 thf(c_0_32, plain, ![X664:$i]:(((in @ X664 @ frac)=>![X663:$i]:(((in @ X663 @ frac)=>![X662:$i]:(((in @ X662 @ frac)=>![X661:$i]:(((in @ X661 @ frac)=>((e_is @ nat @ (n_ts @ (num @ X664) @ (den @ X663)) @ (n_ts @ (num @ X663) @ (den @ X664)))=>((e_is @ nat @ (n_ts @ (num @ X662) @ (den @ X661)) @ (n_ts @ (num @ X661) @ (den @ X662)))=>(e_is @ nat @ (n_ts @ (num @ (n_pf @ X664 @ X662)) @ (den @ (n_pf @ X663 @ X661))) @ (n_ts @ (num @ (n_pf @ X663 @ X661)) @ (den @ (n_pf @ X664 @ X662)))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz56]), c_0_27]), c_0_25])])). 1.15/0.78 thf(c_0_33, negated_conjecture, (~((n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ esk1_0 @ esk3_0)) @ (den @ (n_pf @ esk2_0 @ esk4_0))) @ (n_ts @ (num @ (n_pf @ esk2_0 @ esk4_0)) @ (den @ (n_pf @ esk1_0 @ esk3_0))))))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_30])). 1.15/0.78 thf(c_0_34, plain, ![X1111:$i, X1112:$i, X1113:$i, X1114:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X1113) @ (den @ X1114)) @ (n_ts @ (num @ X1114) @ (den @ X1113))))|~($true)|(n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X1111 @ X1113)) @ (den @ (n_pf @ X1112 @ X1114))) @ (n_ts @ (num @ (n_pf @ X1112 @ X1114)) @ (den @ (n_pf @ X1111 @ X1113)))))|~(n_some @ (diffprop @ (n_ts @ (num @ X1111) @ (den @ X1112)) @ (n_ts @ (num @ X1112) @ (den @ X1111))))|~(in @ X1114 @ frac)|~(in @ X1113 @ frac)|~(in @ X1112 @ frac)|~(in @ X1111 @ frac))&(~(e_is @ nat @ (n_ts @ (num @ X1113) @ (den @ X1114)) @ (n_ts @ (num @ X1114) @ (den @ X1113)))|(n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X1111 @ X1113)) @ (den @ (n_pf @ X1112 @ X1114))) @ (n_ts @ (num @ (n_pf @ X1112 @ X1114)) @ (den @ (n_pf @ X1111 @ X1113)))))|~(n_some @ (diffprop @ (n_ts @ (num @ X1111) @ (den @ X1112)) @ (n_ts @ (num @ X1112) @ (den @ X1111))))|~(in @ X1114 @ frac)|~(in @ X1113 @ frac)|~(in @ X1112 @ frac)|~(in @ X1111 @ 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_31])])])])])). 1.15/0.78 thf(c_0_35, plain, ![X1161:$i, X1162:$i, X1163:$i, X1164:$i]:((~(in @ X1161 @ frac)|(~(in @ X1162 @ frac)|(~(in @ X1163 @ frac)|(~(in @ X1164 @ frac)|(~(e_is @ nat @ (n_ts @ (num @ X1161) @ (den @ X1162)) @ (n_ts @ (num @ X1162) @ (den @ X1161)))|(~(e_is @ nat @ (n_ts @ (num @ X1163) @ (den @ X1164)) @ (n_ts @ (num @ X1164) @ (den @ X1163)))|(e_is @ nat @ (n_ts @ (num @ (n_pf @ X1161 @ X1163)) @ (den @ (n_pf @ X1162 @ X1164))) @ (n_ts @ (num @ (n_pf @ X1162 @ X1164)) @ (den @ (n_pf @ X1161 @ X1163))))))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])). 1.15/0.78 thf(c_0_36, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ esk1_0 @ esk3_0)) @ (den @ (n_pf @ esk2_0 @ esk4_0))) @ (n_ts @ (num @ (n_pf @ esk2_0 @ esk4_0)) @ (den @ (n_pf @ esk1_0 @ esk3_0)))))), inference(cn,[status(thm)],[c_0_33])). 1.15/0.78 thf(c_0_37, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X5 @ X1)) @ (den @ (n_pf @ X6 @ X4))) @ (n_ts @ (num @ (n_pf @ X6 @ X4)) @ (den @ (n_pf @ X5 @ X1)))))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X6)) @ (n_ts @ (num @ X6) @ (den @ X5)))))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((in @ X6 @ frac))|~((in @ X5 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_34])). 1.15/0.78 thf(c_0_38, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_30])). 1.15/0.78 thf(c_0_39, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_30])). 1.15/0.78 thf(c_0_40, negated_conjecture, (in @ esk4_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_30])). 1.15/0.78 thf(c_0_41, negated_conjecture, (in @ esk3_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_30])). 1.15/0.78 thf(c_0_42, negated_conjecture, ~((e_is @ nat @ (n_ts @ (num @ (n_pf @ esk1_0 @ esk3_0)) @ (den @ (n_pf @ esk2_0 @ esk4_0))) @ (n_ts @ (num @ (n_pf @ esk2_0 @ esk4_0)) @ (den @ (n_pf @ esk1_0 @ esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_30])). 1.15/0.78 thf(c_0_43, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:(((e_is @ nat @ (n_ts @ (num @ (n_pf @ X1 @ X5)) @ (den @ (n_pf @ X4 @ X6))) @ (n_ts @ (num @ (n_pf @ X4 @ X6)) @ (den @ (n_pf @ X1 @ X5))))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ frac))|~((in @ X6 @ frac))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~((e_is @ nat @ (n_ts @ (num @ X5) @ (den @ X6)) @ (n_ts @ (num @ X6) @ (den @ X5)))))), inference(split_conjunct,[status(thm)],[c_0_35])). 1.15/0.78 thf(c_0_44, plain, ![X632:$i]:(((in @ X632 @ frac)=>![X631:$i]:(((in @ X631 @ frac)=>![X630:$i]:(((in @ X630 @ frac)=>![X629:$i]:(((in @ X629 @ frac)=>((((n_some @ (diffprop @ (n_ts @ (num @ X632) @ (den @ X631)) @ (n_ts @ (num @ X631) @ (den @ X632))))=>~($true))=>(e_is @ nat @ (n_ts @ (num @ X632) @ (den @ X631)) @ (n_ts @ (num @ X631) @ (den @ X632))))=>((n_some @ (diffprop @ (n_ts @ (num @ X630) @ (den @ X629)) @ (n_ts @ (num @ X629) @ (den @ X630))))=>(n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X632 @ X630)) @ (den @ (n_pf @ X631 @ X629))) @ (n_ts @ (num @ (n_pf @ X631 @ X629)) @ (den @ (n_pf @ X632 @ X630))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz65a]), c_0_27]), c_0_24]), c_0_28])])). 1.15/0.78 thf(c_0_45, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X5 @ X1)) @ (den @ (n_pf @ X6 @ X4))) @ (n_ts @ (num @ (n_pf @ X6 @ X4)) @ (den @ (n_pf @ X5 @ X1)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~(($true))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X6)) @ (n_ts @ (num @ X6) @ (den @ X5)))))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((in @ X6 @ frac))|~((in @ X5 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_34])). 1.15/0.78 thf(c_0_46, negated_conjecture, (~((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))))|~((e_is @ nat @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41])])). 1.15/0.78 thf(c_0_47, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_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_30])). 1.15/0.78 thf(c_0_48, negated_conjecture, (~((e_is @ nat @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0))))|~((e_is @ nat @ (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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_40]), c_0_41]), c_0_38]), c_0_39])])). 1.15/0.78 thf(c_0_49, plain, ![X1121:$i, X1122:$i, X1123:$i, X1124:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X1121) @ (den @ X1122)) @ (n_ts @ (num @ X1122) @ (den @ X1121))))|~($true)|(~(n_some @ (diffprop @ (n_ts @ (num @ X1123) @ (den @ X1124)) @ (n_ts @ (num @ X1124) @ (den @ X1123))))|(n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X1121 @ X1123)) @ (den @ (n_pf @ X1122 @ X1124))) @ (n_ts @ (num @ (n_pf @ X1122 @ X1124)) @ (den @ (n_pf @ X1121 @ X1123))))))|~(in @ X1124 @ frac)|~(in @ X1123 @ frac)|~(in @ X1122 @ frac)|~(in @ X1121 @ frac))&(~(e_is @ nat @ (n_ts @ (num @ X1121) @ (den @ X1122)) @ (n_ts @ (num @ X1122) @ (den @ X1121)))|(~(n_some @ (diffprop @ (n_ts @ (num @ X1123) @ (den @ X1124)) @ (n_ts @ (num @ X1124) @ (den @ X1123))))|(n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X1121 @ X1123)) @ (den @ (n_pf @ X1122 @ X1124))) @ (n_ts @ (num @ (n_pf @ X1122 @ X1124)) @ (den @ (n_pf @ X1121 @ X1123))))))|~(in @ X1124 @ frac)|~(in @ X1123 @ frac)|~(in @ X1122 @ frac)|~(in @ X1121 @ frac)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])])). 1.15/0.78 thf(c_0_50, plain, ![X6:$i, X5:$i, X4:$i, X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X5 @ X1)) @ (den @ (n_pf @ X6 @ X4))) @ (n_ts @ (num @ (n_pf @ X6 @ X4)) @ (den @ (n_pf @ X5 @ X1)))))|~((in @ X6 @ frac))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X6)) @ (n_ts @ (num @ X6) @ (den @ X5)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))))), inference(cn,[status(thm)],[c_0_45])). 1.15/0.78 thf(c_0_51, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0))))|(e_is @ nat @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_30])). 1.15/0.78 thf(c_0_52, negated_conjecture, ~((e_is @ nat @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])). 1.15/0.78 thf(c_0_53, plain, ![X6:$i, X5:$i, X4:$i, X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ (n_pf @ X1 @ X5)) @ (den @ (n_pf @ X4 @ X6))) @ (n_ts @ (num @ (n_pf @ X4 @ X6)) @ (den @ (n_pf @ X1 @ X5)))))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X6)) @ (n_ts @ (num @ X6) @ (den @ X5)))))|~((in @ X6 @ frac))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_49])). 1.15/0.78 thf(c_0_54, negated_conjecture, (~((n_some @ (diffprop @ (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 @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_50]), c_0_38]), c_0_39]), c_0_40]), c_0_41])])). 1.15/0.78 thf(c_0_55, negated_conjecture, (n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0)))), inference(sr,[status(thm)],[c_0_51, c_0_52])). 1.15/0.78 thf(c_0_56, negated_conjecture, (~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0)))))|~((e_is @ nat @ (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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_53]), c_0_40]), c_0_41]), c_0_38]), c_0_39])])). 1.15/0.78 thf(c_0_57, 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)],[c_0_54, c_0_55])])). 1.15/0.78 thf(c_0_58, negated_conjecture, ~((e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_55])])). 1.15/0.78 thf(c_0_59, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_47, c_0_57]), c_0_58]), ['proof']). 1.15/0.78 # SZS output end CNFRefutation 1.15/0.78 # Parsed axioms : 604 1.15/0.78 # Removed by relevancy pruning/SinE : 380 1.15/0.78 # Initial clauses : 366 1.15/0.78 # Removed in clause preprocessing : 92 1.15/0.78 # Initial clauses in saturation : 274 1.15/0.78 # Processed clauses : 577 1.15/0.78 # ...of these trivial : 5 1.15/0.78 # ...subsumed : 129 1.15/0.78 # ...remaining for further processing : 442 1.15/0.78 # Other redundant clauses eliminated : 15 1.15/0.78 # Clauses deleted for lack of memory : 0 1.15/0.78 # Backward-subsumed : 10 1.15/0.78 # Backward-rewritten : 15 1.15/0.78 # Generated clauses : 1558 1.15/0.78 # ...of the previous two non-redundant : 1428 1.15/0.78 # ...aggressively subsumed : 0 1.15/0.78 # Contextual simplify-reflections : 10 1.15/0.78 # Paramodulations : 1488 1.15/0.78 # Factorizations : 0 1.15/0.78 # NegExts : 3 1.15/0.78 # Equation resolutions : 18 1.15/0.78 # Disequality decompositions : 0 1.15/0.78 # Total rewrite steps : 624 1.15/0.78 # ...of those cached : 574 1.15/0.78 # Propositional unsat checks : 0 1.15/0.78 # Propositional check models : 0 1.15/0.78 # Propositional check unsatisfiable : 0 1.15/0.78 # Propositional clauses : 0 1.15/0.78 # Propositional clauses after purity: 0 1.15/0.78 # Propositional unsat core size : 0 1.15/0.78 # Propositional preprocessing time : 0.000 1.15/0.78 # Propositional encoding time : 0.000 1.15/0.78 # Propositional solver time : 0.000 1.15/0.78 # Success case prop preproc time : 0.000 1.15/0.78 # Success case prop encoding time : 0.000 1.15/0.78 # Success case prop solver time : 0.000 1.15/0.78 # Current number of processed clauses : 249 1.15/0.78 # Positive orientable unit clauses : 50 1.15/0.78 # Positive unorientable unit clauses: 2 1.15/0.78 # Negative unit clauses : 12 1.15/0.78 # Non-unit-clauses : 185 1.15/0.78 # Current number of unprocessed clauses: 1282 1.15/0.78 # ...number of literals in the above : 8807 1.15/0.78 # Current number of archived formulas : 0 1.15/0.78 # Current number of archived clauses : 193 1.15/0.78 # Clause-clause subsumption calls (NU) : 34431 1.15/0.78 # Rec. Clause-clause subsumption calls : 5113 1.15/0.78 # Non-unit clause-clause subsumptions : 132 1.15/0.78 # Unit Clause-clause subsumption calls : 1229 1.15/0.78 # Rewrite failures with RHS unbound : 22 1.15/0.78 # BW rewrite match attempts : 67 1.15/0.78 # BW rewrite match successes : 25 1.15/0.78 # Condensation attempts : 0 1.15/0.78 # Condensation successes : 0 1.15/0.78 # Termbank termtop insertions : 158505 1.15/0.78 # Search garbage collected termcells : 36326 1.15/0.78 1.15/0.78 # ------------------------------------------------- 1.15/0.78 # User time : 0.153 s 1.15/0.78 # System time : 0.013 s 1.15/0.78 # Total time : 0.166 s 1.15/0.78 # Maximum resident set size: 8204 pages 1.15/0.78 1.15/0.78 # ------------------------------------------------- 1.15/0.78 # User time : 0.593 s 1.15/0.78 # System time : 0.047 s 1.15/0.78 # Total time : 0.641 s 1.15/0.78 # Maximum resident set size: 2880 pages 1.15/0.78 % E exiting 1.15/0.78 % E exiting 1.15/0.78 EOF