0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_vampire %s %d THM 0.11/0.33 % Computer : n002.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 05:40:34 EDT 2025 0.18/0.33 % CPUTime : 0.18/0.35 This is a THF_ problem 0.18/0.35 Running higher-order theorem proving 0.18/0.35 Running /export/starexec/sandbox/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/sandbox/tmp/tmp.pKqrIrXWUh/E---3.1_21547.p -m 16384 -t 240 0.18/0.38 % (21659)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_21547 for (2399ds/275Mi) 0.18/0.38 % (21656)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_21547 for (2399ds/27Mi) 0.18/0.38 % (21655)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_21547 for (2399ds/4Mi) 0.18/0.38 % (21657)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21547 for (2399ds/2Mi) 0.18/0.38 % (21658)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_21547 for (2399ds/2Mi) 0.18/0.38 % (21660)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21547 for (2399ds/18Mi) 0.18/0.38 % (21654)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21547 for (2399ds/183Mi) 0.18/0.38 % (21659)First to succeed. 0.18/0.38 % (21658)Instruction limit reached! 0.18/0.38 % (21658)------------------------------ 0.18/0.38 % (21658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.38 % (21658)Termination reason: Unknown 0.18/0.38 % (21658)Termination phase: Saturation 0.18/0.38 0.18/0.38 % (21658)Memory used [KB]: 5500 0.18/0.38 % (21658)Time elapsed: 0.004 s 0.18/0.38 % (21658)Instructions burned: 2 (million) 0.18/0.38 % (21658)------------------------------ 0.18/0.38 % (21658)------------------------------ 0.18/0.38 % (21656)Also succeeded, but the first one will report. 0.18/0.38 % (21654)Also succeeded, but the first one will report. 0.18/0.38 % (21659)Refutation found. Thanks to Tanya! 0.18/0.38 % SZS status Theorem for E---3.1_21547 0.18/0.38 % SZS output start Proof for E---3.1_21547 0.18/0.38 thf(type_def_5, type, a: $tType). 0.18/0.38 thf(type_def_6, type, b: $tType). 0.18/0.38 thf(func_def_0, type, a: $tType). 0.18/0.38 thf(func_def_1, type, b: $tType). 0.18/0.38 thf(func_def_2, type, f: a > b). 0.18/0.38 thf(func_def_6, type, sK0: (b > a) > b). 0.18/0.38 thf(func_def_7, type, sK1: b > a). 0.18/0.38 thf(func_def_9, type, ph3: !>[X0: $tType]:(X0)). 0.18/0.38 thf(f14,plain,( 0.18/0.38 $false), 0.18/0.38 inference(trivial_inequality_removal,[status(thm)],[f13])). 0.18/0.38 thf(f13,plain,( 0.18/0.38 ((sK0 @ sK1) != (sK0 @ sK1))), 0.18/0.38 inference(superposition,[status(thm)],[f11,f12])). 0.18/0.38 thf(f12,plain,( 0.18/0.38 ( ! [X0 : b] : (((f @ (sK1 @ X0)) = X0)) )), 0.18/0.38 inference(cnf_transformation,[status(thm)],[f10])). 0.18/0.38 thf(f10,plain,( 0.18/0.38 ! [X0 : b] : ((f @ (sK1 @ X0)) = X0)), 0.18/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f9])). 0.18/0.38 thf(f9,plain,( 0.18/0.38 ! [X0 : b] : (? [X1 : a] : ((f @ X1) = X0) => ((f @ (sK1 @ X0)) = X0))), 0.18/0.38 introduced(definition,[],[choice_axiom])). 0.18/0.38 thf(f1,axiom,( 0.18/0.38 ! [X0 : b] : ? [X1 : a] : ((f @ X1) = X0)), 0.18/0.38 file('/export/starexec/sandbox/tmp/tmp.pKqrIrXWUh/E---3.1_21547.p',fsurj)). 0.18/0.38 thf(f11,plain,( 0.18/0.38 ( ! [X0 : b > a] : (((f @ (X0 @ (sK0 @ X0))) != (sK0 @ X0))) )), 0.18/0.38 inference(cnf_transformation,[status(thm)],[f8])). 0.18/0.38 thf(f8,plain,( 0.18/0.38 ! [X0 : b > a] : ((f @ (X0 @ (sK0 @ X0))) != (sK0 @ X0))), 0.18/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7])). 0.18/0.38 thf(f7,plain,( 0.18/0.38 ! [X0 : b > a] : (? [X1 : b] : ((f @ (X0 @ X1)) != X1) => ((f @ (X0 @ (sK0 @ X0))) != (sK0 @ X0)))), 0.18/0.38 introduced(definition,[],[choice_axiom])). 0.18/0.38 thf(f6,plain,( 0.18/0.38 ! [X0 : b > a] : ? [X1 : b] : ((f @ (X0 @ X1)) != X1)), 0.18/0.38 inference(ennf_transformation,[status(thm)],[f5])). 0.18/0.38 thf(f5,plain,( 0.18/0.38 ~? [X0 : b > a] : ! [X1 : b] : ((f @ (X0 @ X1)) = X1)), 0.18/0.38 inference(rectify,[status(thm)],[f3])). 0.18/0.38 thf(f3,negated_conjecture,( 0.18/0.38 ~? [X2 : b > a] : ! [X1 : b] : ((f @ (X2 @ X1)) = X1)), 0.18/0.38 inference(negated_conjecture,[status(cth)],[f2])). 0.18/0.38 thf(f2,conjecture,( 0.18/0.38 ? [X2 : b > a] : ! [X1 : b] : ((f @ (X2 @ X1)) = X1)), 0.18/0.38 file('/export/starexec/sandbox/tmp/tmp.pKqrIrXWUh/E---3.1_21547.p',invexists)). 0.18/0.38 % SZS output end Proof for E---3.1_21547 0.18/0.38 % (21659)------------------------------ 0.18/0.38 % (21659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.18/0.38 % (21659)Termination reason: Refutation 0.18/0.38 0.18/0.38 % (21659)Memory used [KB]: 5500 0.18/0.38 % (21659)Time elapsed: 0.004 s 0.18/0.38 % (21659)Instructions burned: 1 (million) 0.18/0.38 % (21659)------------------------------ 0.18/0.38 % (21659)------------------------------ 0.18/0.38 % (21653)Success in time 0.011 s 0.18/0.38 EOF