0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d THM 0.11/0.33 % Computer : n029.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 02:10:04 EDT 2025 0.11/0.33 % CPUTime : 0.20/0.35 This is a THF_ problem 0.20/0.35 Running higher-order theorem proving 0.20/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.fcWBrYbWwh/E---3.1_25854.p -m 16384 -t 240 0.20/0.38 % (25963)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_25854 for (2399ds/27Mi) 0.20/0.38 % (25964)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25854 for (2399ds/2Mi) 0.20/0.38 % (25965)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_25854 for (2399ds/2Mi) 0.20/0.38 % (25962)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_25854 for (2399ds/4Mi) 0.20/0.38 % (25966)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_25854 for (2399ds/275Mi) 0.20/0.38 % (25967)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25854 for (2399ds/18Mi) 0.20/0.38 % (25961)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25854 for (2399ds/183Mi) 0.20/0.38 % (25964)Instruction limit reached! 0.20/0.38 % (25964)------------------------------ 0.20/0.38 % (25964)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (25965)Instruction limit reached! 0.20/0.38 % (25965)------------------------------ 0.20/0.38 % (25965)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (25964)Termination reason: Unknown 0.20/0.38 % (25964)Termination phase: Saturation 0.20/0.38 0.20/0.38 % (25964)Memory used [KB]: 5500 0.20/0.38 % (25964)Time elapsed: 0.004 s 0.20/0.38 % (25964)Instructions burned: 2 (million) 0.20/0.38 % (25964)------------------------------ 0.20/0.38 % (25964)------------------------------ 0.20/0.38 % (25965)Termination reason: Unknown 0.20/0.38 % (25965)Termination phase: Saturation 0.20/0.38 0.20/0.38 % (25965)Memory used [KB]: 5500 0.20/0.38 % (25965)Time elapsed: 0.004 s 0.20/0.38 % (25965)Instructions burned: 2 (million) 0.20/0.38 % (25965)------------------------------ 0.20/0.38 % (25965)------------------------------ 0.20/0.38 % (25963)Refutation not found, incomplete strategy 0.20/0.38 % (25963)------------------------------ 0.20/0.38 % (25963)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (25963)Termination reason: Refutation not found, incomplete strategy 0.20/0.38 0.20/0.38 0.20/0.38 % (25963)Memory used [KB]: 5500 0.20/0.38 % (25963)Time elapsed: 0.004 s 0.20/0.38 % (25963)Instructions burned: 2 (million) 0.20/0.38 % (25963)------------------------------ 0.20/0.38 % (25963)------------------------------ 0.20/0.38 % (25962)Instruction limit reached! 0.20/0.38 % (25962)------------------------------ 0.20/0.38 % (25962)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (25962)Termination reason: Unknown 0.20/0.38 % (25962)Termination phase: Saturation 0.20/0.38 0.20/0.38 % (25962)Memory used [KB]: 5500 0.20/0.38 % (25962)Time elapsed: 0.006 s 0.20/0.38 % (25962)Instructions burned: 4 (million) 0.20/0.38 % (25962)------------------------------ 0.20/0.38 % (25962)------------------------------ 0.20/0.38 % (25966)First to succeed. 0.20/0.38 % (25966)Refutation found. Thanks to Tanya! 0.20/0.38 % SZS status Theorem for E---3.1_25854 0.20/0.38 % SZS output start Proof for E---3.1_25854 0.20/0.38 thf(type_def_5, type, a: $tType). 0.20/0.38 thf(func_def_0, type, a: $tType). 0.20/0.38 thf(func_def_1, type, cR: a > a > $o). 0.20/0.38 thf(func_def_5, type, sK0: (a > $o) > a). 0.20/0.38 thf(func_def_6, type, sK1: a > (a > $o) > a). 0.20/0.38 thf(func_def_7, type, sK2: a). 0.20/0.38 thf(func_def_10, type, ph4: !>[X0: $tType]:(X0)). 0.20/0.38 thf(f48,plain,( 0.20/0.38 $false), 0.20/0.38 inference(equality_resolution,[],[f33])). 0.20/0.38 thf(f33,plain,( 0.20/0.38 ( ! [X0 : a] : ((sK2 != X0)) )), 0.20/0.38 inference(trivial_inequality_removal,[],[f32])). 0.20/0.38 thf(f32,plain,( 0.20/0.38 ( ! [X0 : a] : (($true != $true) | (sK2 != X0) | (sK2 != sK2)) )), 0.20/0.38 inference(superposition,[],[f13,f31])). 0.20/0.38 thf(f31,plain,( 0.20/0.38 ( ! [X2 : a,X0 : a,X1 : a] : (($true = (cR @ X0 @ X1)) | (X0 != X2) | (X0 != X1)) )), 0.20/0.38 inference(equality_proxy_clausification,[],[f30])). 0.20/0.38 thf(f30,plain,( 0.20/0.38 ( ! [X2 : a,X0 : a,X1 : a] : (($true = (cR @ X0 @ X1)) | ($true != (X0 = X2)) | (X0 != X1)) )), 0.20/0.38 inference(equality_proxy_clausification,[],[f29])). 0.20/0.38 thf(f29,plain,( 0.20/0.38 ( ! [X2 : a,X0 : a,X1 : a] : (($true != (X0 = X1)) | ($true = (cR @ X0 @ X1)) | ($true != (X0 = X2))) )), 0.20/0.38 inference(superposition,[],[f15,f18])). 0.20/0.38 thf(f18,plain,( 0.20/0.38 ( ! [X0 : a] : (((sK0 @ (= @ X0)) = X0)) )), 0.20/0.38 inference(leibniz_equality_elimination,[],[f14])). 0.20/0.38 thf(f14,plain,( 0.20/0.38 ( ! [X0 : a > $o,X5 : a] : (($true = (X0 @ (sK0 @ X0))) | ((X0 @ X5) != $true)) )), 0.20/0.38 inference(cnf_transformation,[],[f12])). 0.20/0.38 thf(f12,plain,( 0.20/0.38 ! [X0 : a > $o] : ((! [X2 : a] : (((sK0 @ X0) = X2) | (($true = (X0 @ (sK1 @ X2 @ X0))) & ($true != (cR @ X2 @ (sK1 @ X2 @ X0)))) | ((X0 @ X2) != $true)) & ! [X4 : a] : (((cR @ (sK0 @ X0) @ X4) = $true) | ($true != (X0 @ X4))) & ($true = (X0 @ (sK0 @ X0)))) | ! [X5 : a] : ((X0 @ X5) != $true)) & ($true != (cR @ sK2 @ sK2))), 0.20/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f11,f10,f9])). 0.20/0.38 thf(f9,plain,( 0.20/0.38 ! [X0 : a > $o] : (? [X1 : a] : (! [X2 : a] : ((X1 = X2) | ? [X3 : a] : (((X0 @ X3) = $true) & ($true != (cR @ X2 @ X3))) | ((X0 @ X2) != $true)) & ! [X4 : a] : (((cR @ X1 @ X4) = $true) | ($true != (X0 @ X4))) & ((X0 @ X1) = $true)) => (! [X2 : a] : (((sK0 @ X0) = X2) | ? [X3 : a] : (((X0 @ X3) = $true) & ($true != (cR @ X2 @ X3))) | ((X0 @ X2) != $true)) & ! [X4 : a] : (((cR @ (sK0 @ X0) @ X4) = $true) | ($true != (X0 @ X4))) & ($true = (X0 @ (sK0 @ X0)))))), 0.20/0.38 introduced(choice_axiom,[])). 0.20/0.38 thf(f10,plain,( 0.20/0.38 ! [X0 : a > $o,X2 : a] : (? [X3 : a] : (((X0 @ X3) = $true) & ($true != (cR @ X2 @ X3))) => (($true = (X0 @ (sK1 @ X2 @ X0))) & ($true != (cR @ X2 @ (sK1 @ X2 @ X0)))))), 0.20/0.38 introduced(choice_axiom,[])). 0.20/0.38 thf(f11,plain,( 0.20/0.38 ? [X6 : a] : ($true != (cR @ X6 @ X6)) => ($true != (cR @ sK2 @ sK2))), 0.20/0.38 introduced(choice_axiom,[])). 0.20/0.38 thf(f8,plain,( 0.20/0.38 ! [X0 : a > $o] : (? [X1 : a] : (! [X2 : a] : ((X1 = X2) | ? [X3 : a] : (((X0 @ X3) = $true) & ($true != (cR @ X2 @ X3))) | ((X0 @ X2) != $true)) & ! [X4 : a] : (((cR @ X1 @ X4) = $true) | ($true != (X0 @ X4))) & ((X0 @ X1) = $true)) | ! [X5 : a] : ((X0 @ X5) != $true)) & ? [X6 : a] : ($true != (cR @ X6 @ X6))), 0.20/0.38 inference(rectify,[],[f7])). 0.20/0.38 thf(f7,plain,( 0.20/0.38 ! [X0 : a > $o] : (? [X2 : a] : (! [X3 : a] : ((X2 = X3) | ? [X4 : a] : (($true = (X0 @ X4)) & ((cR @ X3 @ X4) != $true)) | ((X0 @ X3) != $true)) & ! [X5 : a] : (($true = (cR @ X2 @ X5)) | ((X0 @ X5) != $true)) & ((X0 @ X2) = $true)) | ! [X1 : a] : ((X0 @ X1) != $true)) & ? [X6 : a] : ($true != (cR @ X6 @ X6))), 0.20/0.38 inference(flattening,[],[f6])). 0.20/0.38 thf(f6,plain,( 0.20/0.38 ? [X6 : a] : ($true != (cR @ X6 @ X6)) & ! [X0 : a > $o] : (? [X2 : a] : (((X0 @ X2) = $true) & ! [X3 : a] : ((X2 = X3) | (? [X4 : a] : (($true = (X0 @ X4)) & ((cR @ X3 @ X4) != $true)) | ((X0 @ X3) != $true))) & ! [X5 : a] : (($true = (cR @ X2 @ X5)) | ((X0 @ X5) != $true))) | ! [X1 : a] : ((X0 @ X1) != $true))), 0.20/0.38 inference(ennf_transformation,[],[f5])). 0.20/0.38 thf(f5,plain,( 0.20/0.38 ~(! [X0 : a > $o] : (? [X1 : a] : ((X0 @ X1) = $true) => ? [X2 : a] : (((X0 @ X2) = $true) & ! [X3 : a] : ((! [X4 : a] : (($true = (X0 @ X4)) => ((cR @ X3 @ X4) = $true)) & ((X0 @ X3) = $true)) => (X2 = X3)) & ! [X5 : a] : (((X0 @ X5) = $true) => ($true = (cR @ X2 @ X5))))) => ! [X6 : a] : ($true = (cR @ X6 @ X6)))), 0.20/0.38 inference(fool_elimination,[],[f4])). 0.20/0.38 thf(f4,plain,( 0.20/0.38 ~(! [X0 : a > $o] : (? [X1 : a] : (X0 @ X1) => ? [X2 : a] : (! [X3 : a] : (((X0 @ X3) & ! [X4 : a] : ((X0 @ X4) => (cR @ X3 @ X4))) => (X2 = X3)) & ! [X5 : a] : ((X0 @ X5) => (cR @ X2 @ X5)) & (X0 @ X2))) => ! [X6 : a] : (cR @ X6 @ X6))), 0.20/0.38 inference(rectify,[],[f2])). 0.20/0.38 thf(f2,negated_conjecture,( 0.20/0.38 ~(! [X0 : a > $o] : (? [X1 : a] : (X0 @ X1) => ? [X1 : a] : (! [X3 : a] : (((X0 @ X3) & ! [X2 : a] : ((X0 @ X2) => (cR @ X3 @ X2))) => (X1 = X3)) & ! [X2 : a] : ((X0 @ X2) => (cR @ X1 @ X2)) & (X0 @ X1))) => ! [X2 : a] : (cR @ X2 @ X2))), 0.20/0.38 inference(negated_conjecture,[],[f1])). 0.20/0.38 thf(f1,conjecture,( 0.20/0.38 ! [X0 : a > $o] : (? [X1 : a] : (X0 @ X1) => ? [X1 : a] : (! [X3 : a] : (((X0 @ X3) & ! [X2 : a] : ((X0 @ X2) => (cR @ X3 @ X2))) => (X1 = X3)) & ! [X2 : a] : ((X0 @ X2) => (cR @ X1 @ X2)) & (X0 @ X1))) => ! [X2 : a] : (cR @ X2 @ X2)), 0.20/0.38 file('/export/starexec/sandbox2/tmp/tmp.fcWBrYbWwh/E---3.1_25854.p',cTHM542_pme)). 0.20/0.38 thf(f15,plain,( 0.20/0.38 ( ! [X0 : a > $o,X4 : a,X5 : a] : (((cR @ (sK0 @ X0) @ X4) = $true) | ($true != (X0 @ X4)) | ((X0 @ X5) != $true)) )), 0.20/0.38 inference(cnf_transformation,[],[f12])). 0.20/0.38 thf(f13,plain,( 0.20/0.38 ($true != (cR @ sK2 @ sK2))), 0.20/0.38 inference(cnf_transformation,[],[f12])). 0.20/0.38 % SZS output end Proof for E---3.1_25854 0.20/0.38 % (25966)------------------------------ 0.20/0.38 % (25966)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (25966)Termination reason: Refutation 0.20/0.38 0.20/0.38 % (25966)Memory used [KB]: 5500 0.20/0.38 % (25966)Time elapsed: 0.007 s 0.20/0.38 % (25966)Instructions burned: 5 (million) 0.20/0.38 % (25966)------------------------------ 0.20/0.38 % (25966)------------------------------ 0.20/0.38 % (25960)Success in time 0.008 s 0.20/0.38 EOF