0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d THM 0.13/0.33 % Computer : n006.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1440 0.13/0.33 % WCLimit : 180 0.13/0.33 % DateTime : Thu Jul 4 09:25:39 EDT 2024 0.13/0.33 % CPUTime : 0.13/0.35 This is a THF_ problem 0.13/0.35 Running higher-order theorem proving 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.1MyxjRzFot/E---3.1_20770.p -m 16384 -t 180 0.13/0.38 % (20880)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_20770 for (1799ds/4Mi) 0.13/0.38 % (20881)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_20770 for (1799ds/27Mi) 0.13/0.38 % (20883)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_20770 for (1799ds/2Mi) 0.13/0.38 % (20879)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_20770 for (1799ds/183Mi) 0.13/0.38 % (20882)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_20770 for (1799ds/2Mi) 0.13/0.38 % (20884)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_20770 for (1799ds/275Mi) 0.13/0.38 % (20885)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_20770 for (1799ds/18Mi) 0.13/0.38 % (20883)Instruction limit reached! 0.13/0.38 % (20883)------------------------------ 0.13/0.38 % (20883)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.13/0.38 % (20883)Termination reason: Unknown 0.13/0.38 % (20883)Termination phase: Saturation 0.13/0.38 0.13/0.38 % (20883)Memory used [KB]: 5500 0.13/0.38 % (20883)Time elapsed: 0.004 s 0.13/0.38 % (20883)Instructions burned: 2 (million) 0.13/0.38 % (20883)------------------------------ 0.13/0.38 % (20883)------------------------------ 0.13/0.38 % (20881)Refutation not found, incomplete strategy 0.13/0.38 % (20881)------------------------------ 0.13/0.38 % (20881)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.13/0.38 % (20881)Termination reason: Refutation not found, incomplete strategy 0.13/0.38 0.13/0.38 0.13/0.38 % (20881)Memory used [KB]: 5500 0.13/0.38 % (20881)Time elapsed: 0.005 s 0.13/0.38 % (20881)Instructions burned: 2 (million) 0.13/0.38 % (20881)------------------------------ 0.13/0.38 % (20881)------------------------------ 0.13/0.38 % (20882)Instruction limit reached! 0.13/0.38 % (20882)------------------------------ 0.13/0.38 % (20882)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.13/0.38 % (20882)Termination reason: Unknown 0.13/0.38 % (20882)Termination phase: Saturation 0.13/0.38 0.13/0.38 % (20882)Memory used [KB]: 5500 0.13/0.38 % (20882)Time elapsed: 0.005 s 0.13/0.38 % (20882)Instructions burned: 2 (million) 0.13/0.38 % (20882)------------------------------ 0.13/0.38 % (20882)------------------------------ 0.13/0.39 % (20880)Instruction limit reached! 0.13/0.39 % (20880)------------------------------ 0.13/0.39 % (20880)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.13/0.39 % (20880)Termination reason: Unknown 0.13/0.39 % (20880)Termination phase: Saturation 0.13/0.39 0.13/0.39 % (20880)Memory used [KB]: 5500 0.13/0.39 % (20880)Time elapsed: 0.006 s 0.13/0.39 % (20880)Instructions burned: 4 (million) 0.13/0.39 % (20880)------------------------------ 0.13/0.39 % (20880)------------------------------ 0.13/0.39 % (20879)First to succeed. 0.13/0.39 % (20885)Also succeeded, but the first one will report. 0.13/0.39 % (20879)Refutation found. Thanks to Tanya! 0.13/0.39 % SZS status Theorem for E---3.1_20770 0.13/0.39 % SZS output start Proof for E---3.1_20770 0.13/0.39 thf(func_def_0, type, f: $i > $i). 0.13/0.39 thf(func_def_2, type, cP: $i > $o). 0.13/0.39 thf(func_def_6, type, sK0: ($i > $o) > $i). 0.13/0.39 thf(func_def_9, type, ph2: !>[X0: $tType]:(X0)). 0.13/0.39 thf(f103,plain,( 0.13/0.39 $false), 0.13/0.39 inference(avatar_sat_refutation,[],[f24,f33,f65,f97])). 0.13/0.39 thf(f97,plain,( 0.13/0.39 ~spl1_1), 0.13/0.39 inference(avatar_contradiction_clause,[],[f96])). 0.13/0.39 thf(f96,plain,( 0.13/0.39 $false | ~spl1_1), 0.13/0.39 inference(trivial_inequality_removal,[],[f95])). 0.13/0.39 thf(f95,plain,( 0.13/0.39 ($false = $true) | ~spl1_1), 0.13/0.39 inference(beta_eta_normalization,[],[f77])). 0.13/0.39 thf(f77,plain,( 0.13/0.39 (((^[Y0 : $i]: ($false)) @ (f @ (sK0 @ (^[Y0 : $i]: ($false))))) = $true) | ~spl1_1), 0.13/0.39 inference(primitive_instantiation,[],[f19])). 0.13/0.39 thf(f19,plain,( 0.13/0.39 ( ! [X0 : $i > $o] : (((X0 @ (f @ (sK0 @ X0))) = $true)) ) | ~spl1_1), 0.13/0.39 inference(avatar_component_clause,[],[f18])). 0.13/0.39 thf(f18,plain,( 0.13/0.39 spl1_1 <=> ! [X0 : $i > $o] : ((X0 @ (f @ (sK0 @ X0))) = $true)), 0.13/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 0.13/0.39 thf(f65,plain,( 0.13/0.39 ~spl1_2 | ~spl1_4), 0.13/0.39 inference(avatar_contradiction_clause,[],[f64])). 0.13/0.39 thf(f64,plain,( 0.13/0.39 $false | (~spl1_2 | ~spl1_4)), 0.13/0.39 inference(equality_resolution,[],[f63])). 0.13/0.39 thf(f63,plain,( 0.13/0.39 ( ! [X0 : $i] : (((f @ a) != X0)) ) | (~spl1_2 | ~spl1_4)), 0.13/0.39 inference(equality_resolution,[],[f62])). 0.13/0.39 thf(f62,plain,( 0.13/0.39 ( ! [X0 : $i,X1 : $i] : (((f @ a) != X0) | (X0 != X1)) ) | (~spl1_2 | ~spl1_4)), 0.13/0.39 inference(trivial_inequality_removal,[],[f58])). 0.13/0.39 thf(f58,plain,( 0.13/0.39 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (X0 != X1) | ((f @ a) != X0)) ) | (~spl1_2 | ~spl1_4)), 0.13/0.39 inference(superposition,[],[f57,f23])). 0.13/0.39 thf(f23,plain,( 0.13/0.39 ((cP @ a) = $true) | ~spl1_2), 0.13/0.39 inference(avatar_component_clause,[],[f21])). 0.13/0.39 thf(f21,plain,( 0.13/0.39 spl1_2 <=> ((cP @ a) = $true)), 0.13/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 0.13/0.39 thf(f57,plain,( 0.13/0.39 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cP @ X1) != $true) | ((f @ X1) != X0) | (X0 != X2)) ) | ~spl1_4), 0.13/0.39 inference(equality_proxy_clausification,[],[f54])). 0.13/0.39 thf(f54,plain,( 0.13/0.39 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((X0 = X2) != $true) | ((cP @ X1) != $true) | ((f @ X1) != X0)) ) | ~spl1_4), 0.13/0.39 inference(superposition,[],[f15,f50])). 0.13/0.39 thf(f50,plain,( 0.13/0.39 ( ! [X0 : $i,X1 : $i] : (((sK0 @ (= @ X0)) = X1) | ((f @ X1) != X0)) ) | ~spl1_4), 0.13/0.39 inference(superposition,[],[f31,f35])). 0.13/0.39 thf(f35,plain,( 0.13/0.39 ( ! [X0 : $i] : (((f @ (sK0 @ (= @ X0))) = X0)) )), 0.13/0.39 inference(leibniz_equality_elimination,[],[f16])). 0.13/0.39 thf(f16,plain,( 0.13/0.39 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (f @ (sK0 @ X0))) = $true) | ($true != (X0 @ X1))) )), 0.13/0.39 inference(cnf_transformation,[],[f10])). 0.13/0.39 thf(f10,plain,( 0.13/0.39 ! [X0 : $i > $o] : ((! [X1] : ($true != (X0 @ X1)) & ! [X2,X3] : (((f @ X2) != (f @ X3)) | (X2 = X3)) & ((cP @ a) = $true)) | (((X0 @ (f @ (sK0 @ X0))) = $true) & ((cP @ (sK0 @ X0)) != $true)))), 0.13/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9])). 0.13/0.39 thf(f9,plain,( 0.13/0.39 ! [X0 : $i > $o] : (? [X4] : (((X0 @ (f @ X4)) = $true) & ((cP @ X4) != $true)) => (((X0 @ (f @ (sK0 @ X0))) = $true) & ((cP @ (sK0 @ X0)) != $true)))), 0.13/0.39 introduced(choice_axiom,[])). 0.13/0.39 thf(f8,plain,( 0.13/0.39 ! [X0 : $i > $o] : ((! [X1] : ($true != (X0 @ X1)) & ! [X2,X3] : (((f @ X2) != (f @ X3)) | (X2 = X3)) & ((cP @ a) = $true)) | ? [X4] : (((X0 @ (f @ X4)) = $true) & ((cP @ X4) != $true)))), 0.13/0.39 inference(rectify,[],[f7])). 0.13/0.39 thf(f7,plain,( 0.13/0.39 ! [X0 : $i > $o] : ((! [X3] : ((X0 @ X3) != $true) & ! [X2,X1] : (((f @ X1) != (f @ X2)) | (X1 = X2)) & ((cP @ a) = $true)) | ? [X4] : (((X0 @ (f @ X4)) = $true) & ((cP @ X4) != $true)))), 0.13/0.39 inference(flattening,[],[f6])). 0.13/0.39 thf(f6,plain,( 0.13/0.39 ! [X0 : $i > $o] : (? [X4] : (((X0 @ (f @ X4)) = $true) & ((cP @ X4) != $true)) | (! [X3] : ((X0 @ X3) != $true) & (((cP @ a) = $true) & ! [X2,X1] : (((f @ X1) != (f @ X2)) | (X1 = X2)))))), 0.13/0.39 inference(ennf_transformation,[],[f5])). 0.13/0.39 thf(f5,plain,( 0.13/0.39 ~? [X0 : $i > $o] : (! [X4] : (((X0 @ (f @ X4)) = $true) => ((cP @ X4) = $true)) & ((((cP @ a) = $true) & ! [X1,X2] : (((f @ X1) = (f @ X2)) => (X1 = X2))) => ? [X3] : ((X0 @ X3) = $true)))), 0.13/0.39 inference(fool_elimination,[],[f4])). 0.13/0.39 thf(f4,plain,( 0.13/0.39 ~? [X0 : $i > $o] : ((((cP @ a) & ! [X1,X2] : (((f @ X1) = (f @ X2)) => (X1 = X2))) => ? [X3] : (X0 @ X3)) & ! [X4] : ((X0 @ (f @ X4)) => (cP @ X4)))), 0.13/0.39 inference(rectify,[],[f2])). 0.13/0.39 thf(f2,negated_conjecture,( 0.13/0.39 ~? [X0 : $i > $o] : ((((cP @ a) & ! [X1,X2] : (((f @ X1) = (f @ X2)) => (X1 = X2))) => ? [X3] : (X0 @ X3)) & ! [X1] : ((X0 @ (f @ X1)) => (cP @ X1)))), 0.13/0.39 inference(negated_conjecture,[],[f1])). 0.13/0.39 thf(f1,conjecture,( 0.13/0.39 ? [X0 : $i > $o] : ((((cP @ a) & ! [X1,X2] : (((f @ X1) = (f @ X2)) => (X1 = X2))) => ? [X3] : (X0 @ X3)) & ! [X1] : ((X0 @ (f @ X1)) => (cP @ X1)))), 0.13/0.39 file('/export/starexec/sandbox/tmp/tmp.1MyxjRzFot/E---3.1_20770.p',cTHM115A)). 0.13/0.39 thf(f31,plain,( 0.13/0.39 ( ! [X2 : $i,X3 : $i] : (((f @ X2) != (f @ X3)) | (X2 = X3)) ) | ~spl1_4), 0.13/0.39 inference(avatar_component_clause,[],[f30])). 0.13/0.39 thf(f30,plain,( 0.13/0.39 spl1_4 <=> ! [X2,X3] : (((f @ X2) != (f @ X3)) | (X2 = X3))), 0.13/0.39 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 0.13/0.39 thf(f15,plain,( 0.13/0.39 ( ! [X0 : $i > $o,X1 : $i] : (((cP @ (sK0 @ X0)) != $true) | ($true != (X0 @ X1))) )), 0.13/0.39 inference(cnf_transformation,[],[f10])). 0.13/0.39 thf(f33,plain,( 0.13/0.39 spl1_1 | spl1_4), 0.13/0.39 inference(avatar_split_clause,[],[f14,f30,f18])). 0.13/0.39 thf(f14,plain,( 0.13/0.39 ( ! [X2 : $i,X3 : $i,X0 : $i > $o] : (((X0 @ (f @ (sK0 @ X0))) = $true) | (X2 = X3) | ((f @ X2) != (f @ X3))) )), 0.13/0.39 inference(cnf_transformation,[],[f10])). 0.13/0.39 thf(f24,plain,( 0.13/0.39 spl1_1 | spl1_2), 0.13/0.39 inference(avatar_split_clause,[],[f12,f21,f18])). 0.13/0.39 thf(f12,plain,( 0.13/0.39 ( ! [X0 : $i > $o] : (((cP @ a) = $true) | ((X0 @ (f @ (sK0 @ X0))) = $true)) )), 0.13/0.39 inference(cnf_transformation,[],[f10])). 0.13/0.39 % SZS output end Proof for E---3.1_20770 0.13/0.39 % (20879)------------------------------ 0.13/0.39 % (20879)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.13/0.39 % (20879)Termination reason: Refutation 0.13/0.39 0.13/0.39 % (20879)Memory used [KB]: 5628 0.13/0.39 % (20879)Time elapsed: 0.011 s 0.13/0.39 % (20879)Instructions burned: 9 (million) 0.13/0.39 % (20879)------------------------------ 0.13/0.39 % (20879)------------------------------ 0.13/0.39 % (20877)Success in time 0.024 s 0.13/0.39 EOF