0.01/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.01/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n018.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 01:59:19 EDT 2025 0.12/0.34 % CPUTime : 0.20/0.35 This is a THF_ problem 0.20/0.36 Running higher-order theorem proving 0.20/0.36 Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.ZO9HmDKobR/E---3.1_31915.p -m 16384 -t 240 0.20/0.38 % (32048)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_31915 for (2399ds/183Mi) 0.20/0.38 % (32051)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_31915 for (2399ds/2Mi) 0.20/0.38 % (32050)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_31915 for (2399ds/27Mi) 0.20/0.38 % (32052)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_31915 for (2399ds/2Mi) 0.20/0.38 % (32049)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_31915 for (2399ds/4Mi) 0.20/0.38 % (32053)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_31915 for (2399ds/275Mi) 0.20/0.38 % (32054)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_31915 for (2399ds/18Mi) 0.20/0.39 % (32053)First to succeed. 0.20/0.39 % (32052)Instruction limit reached! 0.20/0.39 % (32052)------------------------------ 0.20/0.39 % (32052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.39 % (32052)Termination reason: Unknown 0.20/0.39 % (32052)Termination phase: Saturation 0.20/0.39 0.20/0.39 % (32052)Memory used [KB]: 5500 0.20/0.39 % (32052)Time elapsed: 0.004 s 0.20/0.39 % (32052)Instructions burned: 2 (million) 0.20/0.39 % (32052)------------------------------ 0.20/0.39 % (32052)------------------------------ 0.20/0.39 % (32048)Also succeeded, but the first one will report. 0.20/0.39 % (32049)Also succeeded, but the first one will report. 0.20/0.39 % (32053)Refutation found. Thanks to Tanya! 0.20/0.39 % SZS status Theorem for E---3.1_31915 0.20/0.39 % SZS output start Proof for E---3.1_31915 0.20/0.39 thf(type_def_5, type, a: $tType). 0.20/0.39 thf(type_def_6, type, b: $tType). 0.20/0.39 thf(func_def_0, type, a: $tType). 0.20/0.39 thf(func_def_1, type, b: $tType). 0.20/0.39 thf(func_def_2, type, r: a > b > $o). 0.20/0.39 thf(func_def_6, type, sK0: (a > b) > a). 0.20/0.39 thf(func_def_7, type, sK1: a > b). 0.20/0.39 thf(func_def_9, type, ph3: !>[X0: $tType]:(X0)). 0.20/0.39 thf(f17,plain,( 0.20/0.39 $false), 0.20/0.39 inference(trivial_inequality_removal,[status(thm)],[f16])). 0.20/0.39 thf(f16,plain,( 0.20/0.39 ($true != $true)), 0.20/0.39 inference(superposition,[status(thm)],[f14,f15])). 0.20/0.39 thf(f15,plain,( 0.20/0.39 ( ! [X0 : a] : (((r @ X0 @ (sK1 @ X0)) = $true)) )), 0.20/0.39 inference(cnf_transformation,[status(thm)],[f13])). 0.20/0.39 thf(f13,plain,( 0.20/0.39 ! [X0 : a] : ((r @ X0 @ (sK1 @ X0)) = $true)), 0.20/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f6,f12])). 0.20/0.39 thf(f12,plain,( 0.20/0.39 ! [X0 : a] : (? [X1 : b] : ((r @ X0 @ X1) = $true) => ((r @ X0 @ (sK1 @ X0)) = $true))), 0.20/0.39 introduced(definition,[],[choice_axiom])). 0.20/0.39 thf(f6,plain,( 0.20/0.39 ! [X0 : a] : ? [X1 : b] : ((r @ X0 @ X1) = $true)), 0.20/0.39 inference(fool_elimination,[status(thm)],[f5])). 0.20/0.39 thf(f5,plain,( 0.20/0.39 ! [X0 : a] : ? [X1 : b] : (r @ X0 @ X1)), 0.20/0.39 inference(rectify,[status(thm)],[f1])). 0.20/0.39 thf(f1,axiom,( 0.20/0.39 ! [X0 : a] : ? [X1 : b] : (r @ X0 @ X1)), 0.20/0.39 file('/export/starexec/sandbox2/tmp/tmp.ZO9HmDKobR/E---3.1_31915.p',rtotal)). 0.20/0.39 thf(f14,plain,( 0.20/0.39 ( ! [X0 : a > b] : (($true != (r @ (sK0 @ X0) @ (X0 @ (sK0 @ X0))))) )), 0.20/0.39 inference(cnf_transformation,[status(thm)],[f11])). 0.20/0.39 thf(f11,plain,( 0.20/0.39 ! [X0 : a > b] : ($true != (r @ (sK0 @ X0) @ (X0 @ (sK0 @ X0))))), 0.20/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])). 0.20/0.39 thf(f10,plain,( 0.20/0.39 ! [X0 : a > b] : (? [X1 : a] : ($true != (r @ X1 @ (X0 @ X1))) => ($true != (r @ (sK0 @ X0) @ (X0 @ (sK0 @ X0)))))), 0.20/0.39 introduced(definition,[],[choice_axiom])). 0.20/0.39 thf(f9,plain,( 0.20/0.39 ! [X0 : a > b] : ? [X1 : a] : ($true != (r @ X1 @ (X0 @ X1)))), 0.20/0.39 inference(ennf_transformation,[status(thm)],[f8])). 0.20/0.39 thf(f8,plain,( 0.20/0.39 ~? [X0 : a > b] : ! [X1 : a] : ($true = (r @ X1 @ (X0 @ X1)))), 0.20/0.39 inference(fool_elimination,[status(thm)],[f7])). 0.20/0.39 thf(f7,plain,( 0.20/0.39 ~? [X0 : a > b] : ! [X1 : a] : (r @ X1 @ (X0 @ X1))), 0.20/0.39 inference(rectify,[status(thm)],[f3])). 0.20/0.39 thf(f3,negated_conjecture,( 0.20/0.39 ~? [X2 : a > b] : ! [X0 : a] : (r @ X0 @ (X2 @ X0))), 0.20/0.39 inference(negated_conjecture,[status(cth)],[f2])). 0.20/0.39 thf(f2,conjecture,( 0.20/0.39 ? [X2 : a > b] : ! [X0 : a] : (r @ X0 @ (X2 @ X0))), 0.20/0.39 file('/export/starexec/sandbox2/tmp/tmp.ZO9HmDKobR/E---3.1_31915.p',skolem)). 0.20/0.39 % SZS output end Proof for E---3.1_31915 0.20/0.39 % (32053)------------------------------ 0.20/0.39 % (32053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.20/0.39 % (32053)Termination reason: Refutation 0.20/0.39 0.20/0.39 % (32053)Memory used [KB]: 5500 0.20/0.39 % (32053)Time elapsed: 0.004 s 0.20/0.39 % (32053)Instructions burned: 1 (million) 0.20/0.39 % (32053)------------------------------ 0.20/0.39 % (32053)------------------------------ 0.20/0.39 % (32047)Success in time 0.02 s 0.20/0.39 EOF