0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.11 % Command : run_vampire %s %d THM 0.11/0.31 % Computer : n023.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 1440 0.11/0.31 % WCLimit : 180 0.11/0.31 % DateTime : Thu Jul 4 05:38:54 EDT 2024 0.11/0.31 % CPUTime : 0.17/0.33 This is a THF_ problem 0.17/0.33 Running higher-order theorem proving 0.17/0.33 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.JhQjfoHj4H/E---3.1_22231.p -m 16384 -t 180 0.17/0.34 % (22347)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_22231 for (1800ds/18Mi) 0.17/0.34 % (22344)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_22231 for (1800ds/2Mi) 0.17/0.34 % (22341)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_22231 for (1800ds/183Mi) 0.17/0.34 % (22342)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_22231 for (1800ds/4Mi) 0.17/0.35 % (22341)First to succeed. 0.17/0.35 % (22344)Refutation not found, incomplete strategy 0.17/0.35 % (22344)------------------------------ 0.17/0.35 % (22344)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (22344)Termination reason: Refutation not found, incomplete strategy 0.17/0.35 0.17/0.35 0.17/0.35 % (22344)Memory used [KB]: 5500 0.17/0.35 % (22344)Time elapsed: 0.002 s 0.17/0.35 % (22344)Instructions burned: 1 (million) 0.17/0.35 % (22344)------------------------------ 0.17/0.35 % (22344)------------------------------ 0.17/0.35 % (22342)Also succeeded, but the first one will report. 0.17/0.35 % (22347)Also succeeded, but the first one will report. 0.17/0.35 % (22341)Refutation found. Thanks to Tanya! 0.17/0.35 % SZS status Theorem for E---3.1_22231 0.17/0.35 % SZS output start Proof for E---3.1_22231 0.17/0.35 thf(func_def_0, type, f: $o > $i > $i). 0.17/0.35 thf(func_def_1, type, p: ($i > $i) > $o). 0.17/0.35 thf(func_def_2, type, a: ($i > $i) > $o). 0.17/0.35 thf(f10,plain,( 0.17/0.35 $false), 0.17/0.35 inference(subsumption_resolution,[],[f9,f7])). 0.17/0.35 thf(f7,plain,( 0.17/0.35 ((p @ (f @ ((a @ (f @ b)) & b))) != $true)), 0.17/0.35 inference(cnf_transformation,[],[f6])). 0.17/0.35 thf(f6,plain,( 0.17/0.35 ((p @ (^[Y0 : $i]: (f @ ((a @ (^[Y1 : $i]: (f @ b @ Y1))) & b) @ Y0))) = $true) & ((p @ (f @ ((a @ (f @ b)) & b))) != $true)), 0.17/0.35 inference(ennf_transformation,[],[f5])). 0.17/0.35 thf(f5,plain,( 0.17/0.35 ~(((p @ (^[Y0 : $i]: (f @ ((a @ (^[Y1 : $i]: (f @ b @ Y1))) & b) @ Y0))) = $true) => ((p @ (f @ ((a @ (f @ b)) & b))) = $true))), 0.17/0.35 inference(fool_elimination,[],[f4])). 0.17/0.35 thf(f4,plain,( 0.17/0.35 ~((p @ (^[X0 : $i] : (f @ b & (a @ (^[X1 : $i] : (f @ b @ X1))) @ X0))) => (p @ (f @ b & (a @ (f @ b)))))), 0.17/0.35 inference(rectify,[],[f2])). 0.17/0.35 thf(f2,negated_conjecture,( 0.17/0.35 ~((p @ (^[X0 : $i] : (f @ b & (a @ (^[X0 : $i] : (f @ b @ X0))) @ X0))) => (p @ (f @ b & (a @ (f @ b)))))), 0.17/0.35 inference(negated_conjecture,[],[f1])). 0.17/0.35 thf(f1,conjecture,( 0.17/0.35 (p @ (^[X0 : $i] : (f @ b & (a @ (^[X0 : $i] : (f @ b @ X0))) @ X0))) => (p @ (f @ b & (a @ (f @ b))))), 0.17/0.35 file('/export/starexec/sandbox2/tmp/tmp.JhQjfoHj4H/E---3.1_22231.p',conj)). 0.17/0.35 thf(f9,plain,( 0.17/0.35 ((p @ (f @ ((a @ (f @ b)) & b))) = $true)), 0.17/0.35 inference(beta_eta_normalization,[],[f8])). 0.17/0.35 thf(f8,plain,( 0.17/0.35 ((p @ (^[Y0 : $i]: (f @ ((a @ (^[Y1 : $i]: (f @ b @ Y1))) & b) @ Y0))) = $true)), 0.17/0.35 inference(cnf_transformation,[],[f6])). 0.17/0.35 % SZS output end Proof for E---3.1_22231 0.17/0.35 % (22341)------------------------------ 0.17/0.35 % (22341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.17/0.35 % (22341)Termination reason: Refutation 0.17/0.35 0.17/0.35 % (22341)Memory used [KB]: 5373 0.17/0.35 % (22341)Time elapsed: 0.003 s 0.17/0.35 % (22341)Instructions burned: 1 (million) 0.17/0.35 % (22341)------------------------------ 0.17/0.35 % (22341)------------------------------ 0.17/0.35 % (22340)Success in time 0.011 s 0.17/0.35 EOF