0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.32 % Computer : n027.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 09:10:19 EDT 2025 0.12/0.32 % CPUTime : 0.19/0.46 Running higher-order theorem proving 0.19/0.49 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=240 /export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p 1.13/0.63 # Version: 3.0.0-ho 1.13/0.63 # Preprocessing class: HSMMSLSSLLLNHFA. 1.13/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.13/0.63 # Starting new_ho_10_cnf2 with 1200s (5) cores 1.13/0.63 # Starting post_as_ho1 with 240s (1) cores 1.13/0.63 # Starting post_as_ho5 with 240s (1) cores 1.13/0.63 # Starting post_as_ho10 with 240s (1) cores 1.13/0.63 # new_ho_10_cnf2 with pid 4798 completed with status 0 1.13/0.63 # Result found by new_ho_10_cnf2 1.13/0.63 # Preprocessing class: HSMMSLSSLLLNHFA. 1.13/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.13/0.63 # Starting new_ho_10_cnf2 with 1200s (5) cores 1.13/0.63 # No SInE strategy applied 1.13/0.63 # Search class: HGUSM-FFMS31-MHFMMSBN 1.13/0.63 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 1.13/0.63 # Starting ehoh_best_nonlift with 540s (1) cores 1.13/0.63 # Starting new_ho_10_cnf2 with 121s (1) cores 1.13/0.63 # Starting post_as_ho7 with 135s (1) cores 1.13/0.63 # Starting ehoh_best_sine_rwall with 135s (1) cores 1.13/0.63 # Starting sh1l with 135s (1) cores 1.13/0.63 # post_as_ho7 with pid 4807 completed with status 0 1.13/0.63 # Result found by post_as_ho7 1.13/0.63 # Preprocessing class: HSMMSLSSLLLNHFA. 1.13/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.13/0.63 # Starting new_ho_10_cnf2 with 1200s (5) cores 1.13/0.63 # No SInE strategy applied 1.13/0.63 # Search class: HGUSM-FFMS31-MHFMMSBN 1.13/0.63 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 1.13/0.63 # Starting ehoh_best_nonlift with 540s (1) cores 1.13/0.63 # Starting new_ho_10_cnf2 with 121s (1) cores 1.13/0.63 # Starting post_as_ho7 with 135s (1) cores 1.13/0.63 # Preprocessing time : 0.004 s 1.13/0.63 1.13/0.63 # Proof found! 1.13/0.63 # SZS status Theorem 1.13/0.63 # SZS output start CNFRefutation 1.13/0.63 thf(decl_sort1, type, term: $tType). 1.13/0.63 thf(decl_sort2, type, subst: $tType). 1.13/0.63 thf(decl_23, type, one: term). 1.13/0.63 thf(decl_24, type, ap: term > term > term). 1.13/0.63 thf(decl_25, type, lam: term > term). 1.13/0.63 thf(decl_26, type, sub: term > subst > term). 1.13/0.63 thf(decl_27, type, id: subst). 1.13/0.63 thf(decl_28, type, sh: subst). 1.13/0.63 thf(decl_29, type, push: term > subst > subst). 1.13/0.63 thf(decl_30, type, comp: subst > subst > subst). 1.13/0.63 thf(decl_31, type, var: term > $o). 1.13/0.63 thf(decl_34, type, axmap: $o). 1.13/0.63 thf(decl_36, type, shinj: $o). 1.13/0.63 thf(decl_42, type, axvarshift: $o). 1.13/0.63 thf(decl_46, type, ulamvar1: $o). 1.13/0.63 thf(decl_49, type, apnotvar: $o). 1.13/0.63 thf(decl_68, type, axapp: $o). 1.13/0.63 thf(decl_72, type, ulamvarind: $o). 1.13/0.63 thf(decl_73, type, induction: $o). 1.13/0.63 thf(decl_83, type, axclos: $o). 1.13/0.63 thf(decl_84, type, axassoc: $o). 1.13/0.63 thf(decl_87, type, apinj2: $o). 1.13/0.63 thf(decl_88, type, apinj1: $o). 1.13/0.63 thf(decl_93, type, axvarcons: $o). 1.13/0.63 thf(decl_95, type, axscons: $o). 1.13/0.63 thf(decl_97, type, axidr: $o). 1.13/0.63 thf(decl_99, type, laminj: $o). 1.13/0.63 thf(decl_102, type, pushprop_gthm: $o). 1.13/0.63 thf(decl_103, type, axabs: $o). 1.13/0.63 thf(decl_109, type, lamnotap: $o). 1.13/0.63 thf(decl_112, type, axidl: $o). 1.13/0.63 thf(decl_117, type, pushprop: $o). 1.13/0.63 thf(decl_122, type, lamnotvar: $o). 1.13/0.63 thf(decl_131, type, ulamvarsh: $o). 1.13/0.63 thf(decl_137, type, axshiftcons: $o). 1.13/0.63 thf(decl_143, type, axvarid: $o). 1.13/0.63 thf(decl_145, type, esk1_1: (term > $o) > term). 1.13/0.63 thf(decl_146, type, esk2_1: (term > $o) > term). 1.13/0.63 thf(decl_147, type, esk3_1: (term > $o) > term). 1.13/0.63 thf(decl_148, type, esk4_1: (term > $o) > term). 1.13/0.63 thf(decl_149, type, esk5_1: (term > $o) > term). 1.13/0.63 thf(decl_150, type, epred1_0: term > $o). 1.13/0.63 thf(decl_151, type, esk6_0: term). 1.13/0.63 thf(decl_152, type, esk7_0: subst). 1.13/0.63 thf(decl_153, type, esk8_0: term). 1.13/0.63 thf(pushprop_gthm, axiom, ((pushprop_gthm)<=>((axapp)=>((axvarcons)=>((axvarid)=>((axabs)=>((axclos)=>((axidl)=>((axshiftcons)=>((axassoc)=>((axmap)=>((axidr)=>((axvarshift)=>((axscons)=>((ulamvar1)=>((ulamvarsh)=>((ulamvarind)=>((apinj1)=>((apinj2)=>((laminj)=>((shinj)=>((lamnotap)=>((apnotvar)=>((lamnotvar)=>((induction)=>(pushprop))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', pushprop_gthm)). 1.13/0.63 thf(axapp, axiom, ((axapp)<=>![X1:term, X2:term, X3:subst]:(((sub @ (ap @ X1 @ X2) @ X3)=(ap @ (sub @ X1 @ X3) @ (sub @ X2 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axapp)). 1.13/0.63 thf(axvarcons, axiom, ((axvarcons)<=>![X1:term, X3:subst]:(((sub @ one @ (push @ X1 @ X3))=(X1)))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axvarcons)). 1.13/0.63 thf(axvarid, axiom, ((axvarid)<=>![X1:term]:(((sub @ X1 @ id)=(X1)))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axvarid)). 1.13/0.63 thf(axabs, axiom, ((axabs)<=>![X1:term, X3:subst]:(((sub @ (lam @ X1) @ X3)=(lam @ (sub @ X1 @ (push @ one @ (comp @ X3 @ sh))))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axabs)). 1.13/0.63 thf(axclos, axiom, ((axclos)<=>![X1:term, X3:subst, X4:subst]:(((sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axclos)). 1.13/0.63 thf(axidl, axiom, ((axidl)<=>![X3:subst]:(((comp @ id @ X3)=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axidl)). 1.13/0.63 thf(axshiftcons, axiom, ((axshiftcons)<=>![X1:term, X3:subst]:(((comp @ sh @ (push @ X1 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axshiftcons)). 1.13/0.63 thf(axassoc, axiom, ((axassoc)<=>![X3:subst, X4:subst, X5:subst]:(((comp @ (comp @ X3 @ X4) @ X5)=(comp @ X3 @ (comp @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axassoc)). 1.13/0.63 thf(axmap, axiom, ((axmap)<=>![X1:term, X3:subst, X4:subst]:(((comp @ (push @ X1 @ X3) @ X4)=(push @ (sub @ X1 @ X4) @ (comp @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axmap)). 1.13/0.63 thf(axidr, axiom, ((axidr)<=>![X3:subst]:(((comp @ X3 @ id)=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axidr)). 1.13/0.63 thf(axvarshift, axiom, ((axvarshift)<=>((push @ one @ sh)=(id))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axvarshift)). 1.13/0.63 thf(axscons, axiom, ((axscons)<=>![X3:subst]:(((push @ (sub @ one @ X3) @ (comp @ sh @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', axscons)). 1.13/0.63 thf(ulamvar1, axiom, ((ulamvar1)<=>(var @ one)), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', ulamvar1)). 1.13/0.63 thf(ulamvarsh, axiom, ((ulamvarsh)<=>![X1:term]:(((var @ X1)=>(var @ (sub @ X1 @ sh))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', ulamvarsh)). 1.13/0.63 thf(ulamvarind, axiom, ((ulamvarind)<=>![X6:term > $o]:(((X6 @ one)=>(![X1:term]:(((var @ X1)=>((X6 @ X1)=>(X6 @ (sub @ X1 @ sh)))))=>![X1:term]:(((var @ X1)=>(X6 @ X1))))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', ulamvarind)). 1.13/0.63 thf(apinj1, axiom, ((apinj1)<=>![X1:term, X2:term, X7:term, X8:term]:((((ap @ X1 @ X7)=(ap @ X2 @ X8))=>((X1)=(X2))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', apinj1)). 1.13/0.63 thf(apinj2, axiom, ((apinj2)<=>![X1:term, X2:term, X7:term, X8:term]:((((ap @ X1 @ X7)=(ap @ X2 @ X8))=>((X7)=(X8))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', apinj2)). 1.13/0.63 thf(laminj, axiom, ((laminj)<=>![X1:term, X2:term]:((((lam @ X1)=(lam @ X2))=>((X1)=(X2))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', laminj)). 1.13/0.63 thf(shinj, axiom, ((shinj)<=>![X1:term, X2:term]:((((sub @ X1 @ sh)=(sub @ X2 @ sh))=>((X1)=(X2))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', shinj)). 1.13/0.63 thf(lamnotap, axiom, ((lamnotap)<=>![X1:term, X2:term, X7:term]:(((lam @ X1)!=(ap @ X2 @ X7)))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', lamnotap)). 1.13/0.63 thf(apnotvar, axiom, ((apnotvar)<=>![X1:term, X2:term]:(~((var @ (ap @ X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', apnotvar)). 1.13/0.63 thf(lamnotvar, axiom, ((lamnotvar)<=>![X1:term]:(~((var @ (lam @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', lamnotvar)). 1.13/0.63 thf(induction, axiom, ((induction)<=>![X6:term > $o]:((![X1:term]:(((var @ X1)=>(X6 @ X1)))=>(![X1:term, X2:term]:(((X6 @ X1)=>((X6 @ X2)=>(X6 @ (ap @ X1 @ X2)))))=>(![X1:term]:(((X6 @ X1)=>(X6 @ (lam @ X1))))=>![X1:term]:((X6 @ X1))))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', induction)). 1.13/0.63 thf(pushprop, axiom, ((pushprop)<=>![X6:term > $o, X1:term, X3:subst]:((![X2:term]:(((var @ X2)=>(X6 @ (sub @ X2 @ X3))))=>((X6 @ X1)=>![X2:term]:(((var @ X2)=>(X6 @ (sub @ X2 @ (push @ X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', pushprop)). 1.13/0.63 thf(thm, conjecture, (pushprop_gthm), file('/export/starexec/sandbox2/tmp/tmp.xmnxYlD0Aa/E---3.1_4719.p', thm)). 1.13/0.63 thf(c_0_26, axiom, ((pushprop_gthm)=(((![X2063:term, X2064:term, X2065:subst]:(((sub @ (ap @ X2063 @ X2064) @ X2065)=(ap @ (sub @ X2063 @ X2065) @ (sub @ X2064 @ X2065)))))=>((![X2066:term, X2067:subst]:(((sub @ one @ (push @ X2066 @ X2067))=(X2066))))=>((![X2068:term]:(((sub @ X2068 @ id)=(X2068))))=>((![X2069:term, X2070:subst]:(((sub @ (lam @ X2069) @ X2070)=(lam @ (sub @ X2069 @ (push @ one @ (comp @ X2070 @ sh)))))))=>((![X2071:term, X2072:subst, X2073:subst]:(((sub @ (sub @ X2071 @ X2072) @ X2073)=(sub @ X2071 @ (comp @ X2072 @ X2073)))))=>((![X2074:subst]:(((comp @ id @ X2074)=(X2074))))=>((![X2075:term, X2076:subst]:(((comp @ sh @ (push @ X2075 @ X2076))=(X2076))))=>((![X2077:subst, X2078:subst, X2079:subst]:(((comp @ (comp @ X2077 @ X2078) @ X2079)=(comp @ X2077 @ (comp @ X2078 @ X2079)))))=>((![X2080:term, X2081:subst, X2082:subst]:(((comp @ (push @ X2080 @ X2081) @ X2082)=(push @ (sub @ X2080 @ X2082) @ (comp @ X2081 @ X2082)))))=>((![X2083:subst]:(((comp @ X2083 @ id)=(X2083))))=>((((push @ one @ sh)=(id)))=>((![X2084:subst]:(((push @ (sub @ one @ X2084) @ (comp @ sh @ X2084))=(X2084))))=>(((var @ one))=>((![X2085:term]:(((var @ X2085)=>(var @ (sub @ X2085 @ sh)))))=>((![X2086:term > $o]:(((X2086 @ one)=>(![X2087:term]:(((var @ X2087)=>((X2086 @ X2087)=>(X2086 @ (sub @ X2087 @ sh)))))=>![X2088:term]:(((var @ X2088)=>(X2086 @ X2088)))))))=>((![X2089:term, X2090:term, X2091:term, X2092:term]:((((ap @ X2089 @ X2091)=(ap @ X2090 @ X2092))=>((X2089)=(X2090)))))=>((![X2093:term, X2094:term, X2095:term, X2096:term]:((((ap @ X2093 @ X2095)=(ap @ X2094 @ X2096))=>((X2095)=(X2096)))))=>((![X2097:term, X2098:term]:((((lam @ X2097)=(lam @ X2098))=>((X2097)=(X2098)))))=>((![X2099:term, X2100:term]:((((sub @ X2099 @ sh)=(sub @ X2100 @ sh))=>((X2099)=(X2100)))))=>((![X2101:term, X2102:term, X2103:term]:(((lam @ X2101)!=(ap @ X2102 @ X2103))))=>((![X2104:term, X2105:term]:(~((var @ (ap @ X2104 @ X2105)))))=>((![X2106:term]:(~((var @ (lam @ X2106)))))=>((![X2107:term > $o]:((![X2108:term]:(((var @ X2108)=>(X2107 @ X2108)))=>(![X2109:term, X2110:term]:(((X2107 @ X2109)=>((X2107 @ X2110)=>(X2107 @ (ap @ X2109 @ X2110)))))=>(![X2111:term]:(((X2107 @ X2111)=>(X2107 @ (lam @ X2111))))=>![X2112:term]:((X2107 @ X2112)))))))=>(![X2113:term > $o, X2114:term, X2115:subst]:((![X2116:term]:(((var @ X2116)=>(X2113 @ (sub @ X2116 @ X2115))))=>((X2113 @ X2114)=>![X2117:term]:(((var @ X2117)=>(X2113 @ (sub @ X2117 @ (push @ X2114 @ X2115)))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[pushprop_gthm, axapp]), axvarcons]), axvarid]), axabs]), axclos]), axidl]), axshiftcons]), axassoc]), axmap]), axidr]), axvarshift]), axscons]), ulamvar1]), ulamvarsh]), ulamvarind]), apinj1]), apinj2]), laminj]), shinj]), lamnotap]), apnotvar]), lamnotvar]), induction]), pushprop])). 1.13/0.63 thf(c_0_27, negated_conjecture, ~((![X3373:term, X3374:term, X3375:subst]:(((sub @ (ap @ X3373 @ X3374) @ X3375)=(ap @ (sub @ X3373 @ X3375) @ (sub @ X3374 @ X3375))))=>(![X3376:term, X3377:subst]:(((sub @ one @ (push @ X3376 @ X3377))=(X3376)))=>(![X3378:term]:(((sub @ X3378 @ id)=(X3378)))=>(![X3379:term, X3380:subst]:(((sub @ (lam @ X3379) @ X3380)=(lam @ (sub @ X3379 @ (push @ one @ (comp @ X3380 @ sh))))))=>(![X3381:term, X3382:subst, X3383:subst]:(((sub @ (sub @ X3381 @ X3382) @ X3383)=(sub @ X3381 @ (comp @ X3382 @ X3383))))=>(![X3384:subst]:(((comp @ id @ X3384)=(X3384)))=>(![X3385:term, X3386:subst]:(((comp @ sh @ (push @ X3385 @ X3386))=(X3386)))=>(![X3387:subst, X3388:subst, X3389:subst]:(((comp @ (comp @ X3387 @ X3388) @ X3389)=(comp @ X3387 @ (comp @ X3388 @ X3389))))=>(![X3390:term, X3391:subst, X3392:subst]:(((comp @ (push @ X3390 @ X3391) @ X3392)=(push @ (sub @ X3390 @ X3392) @ (comp @ X3391 @ X3392))))=>(![X3393:subst]:(((comp @ X3393 @ id)=(X3393)))=>(((push @ one @ sh)=(id))=>(![X3394:subst]:(((push @ (sub @ one @ X3394) @ (comp @ sh @ X3394))=(X3394)))=>((var @ one)=>(![X3395:term]:(((var @ X3395)=>(var @ (sub @ X3395 @ sh))))=>(![X3396:term > $o]:(((X3396 @ one)=>(![X3397:term]:(((var @ X3397)=>((X3396 @ X3397)=>(X3396 @ (sub @ X3397 @ sh)))))=>![X3398:term]:(((var @ X3398)=>(X3396 @ X3398))))))=>(![X3399:term, X3400:term, X3401:term, X3402:term]:((((ap @ X3399 @ X3401)=(ap @ X3400 @ X3402))=>((X3399)=(X3400))))=>(![X3403:term, X3404:term, X3405:term, X3406:term]:((((ap @ X3403 @ X3405)=(ap @ X3404 @ X3406))=>((X3405)=(X3406))))=>(![X3407:term, X3408:term]:((((lam @ X3407)=(lam @ X3408))=>((X3407)=(X3408))))=>(![X3409:term, X3410:term]:((((sub @ X3409 @ sh)=(sub @ X3410 @ sh))=>((X3409)=(X3410))))=>(![X3411:term, X3412:term, X3413:term]:(((lam @ X3411)!=(ap @ X3412 @ X3413)))=>(![X3414:term, X3415:term]:(~(var @ (ap @ X3414 @ X3415)))=>(![X3416:term]:(~(var @ (lam @ X3416)))=>(![X3417:term > $o]:((![X3418:term]:(((var @ X3418)=>(X3417 @ X3418)))=>(![X3419:term, X3420:term]:(((X3417 @ X3419)=>((X3417 @ X3420)=>(X3417 @ (ap @ X3419 @ X3420)))))=>(![X3421:term]:(((X3417 @ X3421)=>(X3417 @ (lam @ X3421))))=>![X3422:term]:((X3417 @ X3422))))))=>![X3423:term > $o, X3424:term, X3425:subst]:((![X3426:term]:(((var @ X3426)=>(X3423 @ (sub @ X3426 @ X3425))))=>((X3423 @ X3424)=>![X3427:term]:(((var @ X3427)=>(X3423 @ (sub @ X3427 @ (push @ X3424 @ X3425)))))))))))))))))))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_26])])). 1.13/0.63 thf(c_0_28, negated_conjecture, ![X3440:term, X3441:term, X3442:subst, X3443:term, X3444:subst, X3445:term, X3446:term, X3447:subst, X3448:term, X3449:subst, X3450:subst, X3451:subst, X3452:term, X3453:subst, X3454:subst, X3455:subst, X3456:subst, X3457:term, X3458:subst, X3459:subst, X3460:subst, X3461:subst, X3462:term, X3463:term > $o, X3465:term, X3466:term, X3467:term, X3468:term, X3469:term, X3470:term, X3471:term, X3472:term, X3473:term, X3474:term, X3475:term, X3476:term, X3477:term, X3478:term, X3479:term, X3480:term, X3481:term, X3482:term, X3483:term, X3484:term > $o, X3489:term, X3493:term]:((((sub @ (ap @ X3440 @ X3441) @ X3442)=(ap @ (sub @ X3440 @ X3442) @ (sub @ X3441 @ X3442)))&(((sub @ one @ (push @ X3443 @ X3444))=(X3443))&(((sub @ X3445 @ id)=(X3445))&(((sub @ (lam @ X3446) @ X3447)=(lam @ (sub @ X3446 @ (push @ one @ (comp @ X3447 @ sh)))))&(((sub @ (sub @ X3448 @ X3449) @ X3450)=(sub @ X3448 @ (comp @ X3449 @ X3450)))&(((comp @ id @ X3451)=(X3451))&(((comp @ sh @ (push @ X3452 @ X3453))=(X3453))&(((comp @ (comp @ X3454 @ X3455) @ X3456)=(comp @ X3454 @ (comp @ X3455 @ X3456)))&(((comp @ (push @ X3457 @ X3458) @ X3459)=(push @ (sub @ X3457 @ X3459) @ (comp @ X3458 @ X3459)))&(((comp @ X3460 @ id)=(X3460))&(((push @ one @ sh)=(id))&(((push @ (sub @ one @ X3461) @ (comp @ sh @ X3461))=(X3461))&((var @ one)&((~(var @ X3462)|(var @ (sub @ X3462 @ sh)))&((((var @ (esk1_1 @ X3463))|(~(var @ X3465)|(X3463 @ X3465))|~(X3463 @ one))&(((X3463 @ (esk1_1 @ X3463))|(~(var @ X3465)|(X3463 @ X3465))|~(X3463 @ one))&(~(X3463 @ (sub @ (esk1_1 @ X3463) @ sh))|(~(var @ X3465)|(X3463 @ X3465))|~(X3463 @ one))))&((((ap @ X3466 @ X3468)!=(ap @ X3467 @ X3469))|((X3466)=(X3467)))&((((ap @ X3470 @ X3472)!=(ap @ X3471 @ X3473))|((X3472)=(X3473)))&((((lam @ X3474)!=(lam @ X3475))|((X3474)=(X3475)))&((((sub @ X3476 @ sh)!=(sub @ X3477 @ sh))|((X3476)=(X3477)))&(((lam @ X3478)!=(ap @ X3479 @ X3480))&(~(var @ (ap @ X3481 @ X3482))&(~(var @ (lam @ X3483))&((((((X3484 @ (esk5_1 @ X3484))|(X3484 @ X3489)|(X3484 @ (esk3_1 @ X3484))|(var @ (esk2_1 @ X3484)))&(~(X3484 @ (lam @ (esk5_1 @ X3484)))|(X3484 @ X3489)|(X3484 @ (esk3_1 @ X3484))|(var @ (esk2_1 @ X3484))))&((((X3484 @ (esk5_1 @ X3484))|(X3484 @ X3489)|(X3484 @ (esk4_1 @ X3484))|(var @ (esk2_1 @ X3484)))&(~(X3484 @ (lam @ (esk5_1 @ X3484)))|(X3484 @ X3489)|(X3484 @ (esk4_1 @ X3484))|(var @ (esk2_1 @ X3484))))&(((X3484 @ (esk5_1 @ X3484))|(X3484 @ X3489)|~(X3484 @ (ap @ (esk3_1 @ X3484) @ (esk4_1 @ X3484)))|(var @ (esk2_1 @ X3484)))&(~(X3484 @ (lam @ (esk5_1 @ X3484)))|(X3484 @ X3489)|~(X3484 @ (ap @ (esk3_1 @ X3484) @ (esk4_1 @ X3484)))|(var @ (esk2_1 @ X3484))))))&((((X3484 @ (esk5_1 @ X3484))|(X3484 @ X3489)|(X3484 @ (esk3_1 @ X3484))|~(X3484 @ (esk2_1 @ X3484)))&(~(X3484 @ (lam @ (esk5_1 @ X3484)))|(X3484 @ X3489)|(X3484 @ (esk3_1 @ X3484))|~(X3484 @ (esk2_1 @ X3484))))&((((X3484 @ (esk5_1 @ X3484))|(X3484 @ X3489)|(X3484 @ (esk4_1 @ X3484))|~(X3484 @ (esk2_1 @ X3484)))&(~(X3484 @ (lam @ (esk5_1 @ X3484)))|(X3484 @ X3489)|(X3484 @ (esk4_1 @ X3484))|~(X3484 @ (esk2_1 @ X3484))))&(((X3484 @ (esk5_1 @ X3484))|(X3484 @ X3489)|~(X3484 @ (ap @ (esk3_1 @ X3484) @ (esk4_1 @ X3484)))|~(X3484 @ (esk2_1 @ X3484)))&(~(X3484 @ (lam @ (esk5_1 @ X3484)))|(X3484 @ X3489)|~(X3484 @ (ap @ (esk3_1 @ X3484) @ (esk4_1 @ X3484)))|~(X3484 @ (esk2_1 @ X3484)))))))&((~(var @ X3493)|(epred1_0 @ (sub @ X3493 @ esk7_0)))&((epred1_0 @ esk6_0)&((var @ esk8_0)&~(epred1_0 @ (sub @ esk8_0 @ (push @ esk6_0 @ esk7_0)))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])])])). 1.13/0.63 thf(c_0_29, negated_conjecture, ![X1:term, X6:term > $o]:(((X6 @ X1)|~((X6 @ (sub @ (esk1_1 @ X6) @ sh)))|~((var @ X1))|~((X6 @ one)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_30, negated_conjecture, ![X1:term, X3:subst, X4:subst]:(((sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_31, negated_conjecture, ![X1:term, X3:subst]:(((comp @ sh @ (push @ X1 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_32, negated_conjecture, ![X1:term]:((((sub @ (esk1_1 @ (^[Z0/* 4 */:term]:(((Z0)!=(X1))))) @ sh)=(X1))|((one)=(X1))|~((var @ X1)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_29])). 1.13/0.63 thf(c_0_33, negated_conjecture, (var @ esk8_0), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_34, negated_conjecture, ![X1:term, X2:term, X3:subst]:(((sub @ (sub @ X1 @ sh) @ (push @ X2 @ X3))=(sub @ X1 @ X3))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 1.13/0.63 thf(c_0_35, negated_conjecture, (((sub @ (esk1_1 @ (^[Z0/* 4 */:term]:(((Z0)!=(esk8_0))))) @ sh)=(esk8_0))|((esk8_0)=(one))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 1.13/0.63 thf(c_0_36, negated_conjecture, ![X1:term, X3:subst]:((((sub @ esk8_0 @ (push @ X1 @ X3))=(sub @ (esk1_1 @ (^[Z0/* 4 */:term]:(((Z0)!=(esk8_0))))) @ X3))|((esk8_0)=(one)))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 1.13/0.63 thf(c_0_37, negated_conjecture, ~((epred1_0 @ (sub @ esk8_0 @ (push @ esk6_0 @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_38, negated_conjecture, ![X1:term, X2:term, X3:subst]:((((sub @ esk8_0 @ (push @ X1 @ X3))=(sub @ esk8_0 @ (push @ X2 @ X3)))|((esk8_0)=(one)))), inference(spm,[status(thm)],[c_0_36, c_0_36])). 1.13/0.63 thf(c_0_39, negated_conjecture, ![X1:term]:((((esk8_0)=(one))|~((epred1_0 @ (sub @ esk8_0 @ (push @ X1 @ esk7_0)))))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 1.13/0.63 thf(c_0_40, negated_conjecture, (((esk8_0)=(one))|~((epred1_0 @ (sub @ (esk1_1 @ (^[Z0/* 4 */:term]:(((Z0)!=(esk8_0))))) @ esk7_0)))), inference(spm,[status(thm)],[c_0_39, c_0_36])). 1.13/0.63 thf(c_0_41, negated_conjecture, ![X1:term]:(((epred1_0 @ (sub @ X1 @ esk7_0))|~((var @ X1)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_42, negated_conjecture, ![X1:term, X6:term > $o]:(((var @ (esk1_1 @ X6))|(X6 @ X1)|~((var @ X1))|~((X6 @ one)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_43, negated_conjecture, (((esk8_0)=(one))|~((var @ (esk1_1 @ (^[Z0/* 4 */:term]:(((Z0)!=(esk8_0)))))))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 1.13/0.63 thf(c_0_44, negated_conjecture, ![X1:term]:((((one)=(X1))|(var @ (esk1_1 @ (^[Z0/* 4 */:term]:(((Z0)!=(X1))))))|~((var @ X1)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_42])). 1.13/0.63 thf(c_0_45, negated_conjecture, ((esk8_0)=(one)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_33])])). 1.13/0.63 thf(c_0_46, negated_conjecture, ![X3:subst, X1:term]:(((sub @ one @ (push @ X1 @ X3))=(X1))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_47, negated_conjecture, (epred1_0 @ esk6_0), inference(split_conjunct,[status(thm)],[c_0_28])). 1.13/0.63 thf(c_0_48, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_45]), c_0_46]), c_0_47])]), ['proof']). 1.13/0.63 # SZS output end CNFRefutation 1.13/0.63 # Parsed axioms : 238 1.13/0.63 # Removed by relevancy pruning/SinE : 0 1.13/0.63 # Initial clauses : 166 1.13/0.63 # Removed in clause preprocessing : 124 1.13/0.63 # Initial clauses in saturation : 42 1.13/0.63 # Processed clauses : 368 1.13/0.63 # ...of these trivial : 4 1.13/0.63 # ...subsumed : 181 1.13/0.63 # ...remaining for further processing : 183 1.13/0.63 # Other redundant clauses eliminated : 0 1.13/0.63 # Clauses deleted for lack of memory : 0 1.13/0.63 # Backward-subsumed : 16 1.13/0.63 # Backward-rewritten : 30 1.13/0.63 # Generated clauses : 1701 1.13/0.63 # ...of the previous two non-redundant : 1495 1.13/0.63 # ...aggressively subsumed : 0 1.13/0.63 # Contextual simplify-reflections : 0 1.13/0.63 # Paramodulations : 1572 1.13/0.63 # Factorizations : 3 1.13/0.63 # NegExts : 2 1.13/0.63 # Equation resolutions : 14 1.13/0.63 # Disequality decompositions : 0 1.13/0.63 # Total rewrite steps : 456 1.13/0.63 # ...of those cached : 202 1.13/0.63 # Propositional unsat checks : 0 1.13/0.63 # Propositional check models : 0 1.13/0.63 # Propositional check unsatisfiable : 0 1.13/0.63 # Propositional clauses : 0 1.13/0.63 # Propositional clauses after purity: 0 1.13/0.63 # Propositional unsat core size : 0 1.13/0.63 # Propositional preprocessing time : 0.000 1.13/0.63 # Propositional encoding time : 0.000 1.13/0.63 # Propositional solver time : 0.000 1.13/0.63 # Success case prop preproc time : 0.000 1.13/0.63 # Success case prop encoding time : 0.000 1.13/0.63 # Success case prop solver time : 0.000 1.13/0.63 # Current number of processed clauses : 132 1.13/0.63 # Positive orientable unit clauses : 32 1.13/0.63 # Positive unorientable unit clauses: 6 1.13/0.63 # Negative unit clauses : 22 1.13/0.63 # Non-unit-clauses : 72 1.13/0.63 # Current number of unprocessed clauses: 1018 1.13/0.63 # ...number of literals in the above : 2794 1.13/0.63 # Current number of archived formulas : 0 1.13/0.63 # Current number of archived clauses : 51 1.13/0.63 # Clause-clause subsumption calls (NU) : 777 1.13/0.63 # Rec. Clause-clause subsumption calls : 497 1.13/0.63 # Non-unit clause-clause subsumptions : 107 1.13/0.63 # Unit Clause-clause subsumption calls : 184 1.13/0.63 # Rewrite failures with RHS unbound : 0 1.13/0.63 # BW rewrite match attempts : 39 1.13/0.63 # BW rewrite match successes : 8 1.13/0.63 # Condensation attempts : 0 1.13/0.63 # Condensation successes : 0 1.13/0.63 # Termbank termtop insertions : 117865 1.13/0.63 # Search garbage collected termcells : 2905 1.13/0.63 1.13/0.63 # ------------------------------------------------- 1.13/0.63 # User time : 0.104 s 1.13/0.63 # System time : 0.014 s 1.13/0.63 # Total time : 0.118 s 1.13/0.63 # Maximum resident set size: 5956 pages 1.13/0.63 1.13/0.63 # ------------------------------------------------- 1.13/0.63 # User time : 0.431 s 1.13/0.63 # System time : 0.047 s 1.13/0.63 # Total time : 0.479 s 1.13/0.63 # Maximum resident set size: 2084 pages 1.13/0.63 % E exiting 1.13/0.63 % E exiting 1.13/0.63 EOF