0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n028.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 03:38:34 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.21/0.36 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.z9RmQP6eKt/E---3.1_15110.p -m 16384 -t 240 0.21/0.38 % (15340)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_15110 for (2399ds/2Mi) 0.21/0.38 % (15339)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_15110 for (2399ds/27Mi) 0.21/0.38 % (15338)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_15110 for (2399ds/4Mi) 0.21/0.38 % (15341)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_15110 for (2399ds/2Mi) 0.21/0.38 % (15337)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_15110 for (2399ds/183Mi) 0.21/0.38 % (15342)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_15110 for (2399ds/275Mi) 0.21/0.38 % (15343)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_15110 for (2399ds/18Mi) 0.21/0.38 % (15340)Instruction limit reached! 0.21/0.38 % (15340)------------------------------ 0.21/0.38 % (15340)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.38 % (15341)Instruction limit reached! 0.21/0.38 % (15341)------------------------------ 0.21/0.38 % (15341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.38 % (15340)Termination reason: Unknown 0.21/0.38 % (15340)Termination phase: Saturation 0.21/0.38 0.21/0.38 % (15340)Memory used [KB]: 5500 0.21/0.38 % (15340)Time elapsed: 0.004 s 0.21/0.38 % (15340)Instructions burned: 2 (million) 0.21/0.38 % (15340)------------------------------ 0.21/0.38 % (15340)------------------------------ 0.21/0.38 % (15341)Termination reason: Unknown 0.21/0.38 % (15341)Termination phase: Saturation 0.21/0.38 0.21/0.38 % (15341)Memory used [KB]: 5500 0.21/0.38 % (15341)Time elapsed: 0.004 s 0.21/0.38 % (15341)Instructions burned: 2 (million) 0.21/0.38 % (15341)------------------------------ 0.21/0.38 % (15341)------------------------------ 0.21/0.38 % (15339)Refutation not found, incomplete strategy 0.21/0.38 % (15339)------------------------------ 0.21/0.38 % (15339)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.38 % (15339)Termination reason: Refutation not found, incomplete strategy 0.21/0.38 0.21/0.38 0.21/0.38 % (15339)Memory used [KB]: 5500 0.21/0.38 % (15339)Time elapsed: 0.004 s 0.21/0.38 % (15339)Instructions burned: 2 (million) 0.21/0.38 % (15339)------------------------------ 0.21/0.38 % (15339)------------------------------ 0.21/0.39 % (15338)Instruction limit reached! 0.21/0.39 % (15338)------------------------------ 0.21/0.39 % (15338)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (15338)Termination reason: Unknown 0.21/0.39 % (15338)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (15338)Memory used [KB]: 5500 0.21/0.39 % (15338)Time elapsed: 0.006 s 0.21/0.39 % (15338)Instructions burned: 4 (million) 0.21/0.39 % (15338)------------------------------ 0.21/0.39 % (15338)------------------------------ 0.21/0.39 % (15342)First to succeed. 0.21/0.39 % (15342)Refutation found. Thanks to Tanya! 0.21/0.39 % SZS status Theorem for E---3.1_15110 0.21/0.39 % SZS output start Proof for E---3.1_15110 0.21/0.39 thf(func_def_1, type, cP: $i > $o). 0.21/0.39 thf(func_def_6, type, sK0: ($i > $o) > $i). 0.21/0.39 thf(func_def_9, type, ph2: !>[X0: $tType]:(X0)). 0.21/0.39 thf(f67,plain,( 0.21/0.39 $false), 0.21/0.39 inference(subsumption_resolution,[],[f66,f14])). 0.21/0.39 thf(f14,plain,( 0.21/0.39 (a != b)), 0.21/0.39 inference(cnf_transformation,[],[f10])). 0.21/0.39 thf(f10,plain,( 0.21/0.39 ! [X0 : $i > $o] : ((a != b) & (((X0 @ b) = $true) | ! [X1] : ((X0 @ X1) != $true) | (((cP @ (sK0 @ X0)) != $true) & ((X0 @ (sK0 @ X0)) = $true))) & ((cP @ a) = $true))), 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9])). 0.21/0.39 thf(f9,plain,( 0.21/0.39 ! [X0 : $i > $o] : (? [X2] : (((cP @ X2) != $true) & ((X0 @ X2) = $true)) => (((cP @ (sK0 @ X0)) != $true) & ((X0 @ (sK0 @ X0)) = $true)))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f8,plain,( 0.21/0.39 ! [X0 : $i > $o] : ((a != b) & (((X0 @ b) = $true) | ! [X1] : ((X0 @ X1) != $true) | ? [X2] : (((cP @ X2) != $true) & ((X0 @ X2) = $true))) & ((cP @ a) = $true))), 0.21/0.39 inference(flattening,[],[f7])). 0.21/0.39 thf(f7,plain,( 0.21/0.39 ! [X0 : $i > $o] : ((((X0 @ b) = $true) | ! [X1] : ((X0 @ X1) != $true) | ? [X2] : (((cP @ X2) != $true) & ((X0 @ X2) = $true))) & ((a != b) & ((cP @ a) = $true)))), 0.21/0.39 inference(ennf_transformation,[],[f6])). 0.21/0.39 thf(f6,plain,( 0.21/0.39 ~? [X0 : $i > $o] : (((a != b) & ((cP @ a) = $true)) => (((X0 @ b) != $true) & ! [X2] : (((X0 @ X2) = $true) => ((cP @ X2) = $true)) & ? [X1] : ((X0 @ X1) = $true)))), 0.21/0.39 inference(flattening,[],[f5])). 0.21/0.39 thf(f5,plain,( 0.21/0.39 ~? [X0 : $i > $o] : (((a != b) & ((cP @ a) = $true)) => (? [X1] : ((X0 @ X1) = $true) & ! [X2] : (((X0 @ X2) = $true) => ((cP @ X2) = $true)) & ~((X0 @ b) = $true)))), 0.21/0.39 inference(fool_elimination,[],[f4])). 0.21/0.39 thf(f4,plain,( 0.21/0.39 ~? [X0 : $i > $o] : (((cP @ a) & (a != b)) => (? [X1] : (X0 @ X1) & ! [X2] : ((X0 @ X2) => (cP @ X2)) & ~(X0 @ b)))), 0.21/0.39 inference(rectify,[],[f2])). 0.21/0.39 thf(f2,negated_conjecture,( 0.21/0.39 ~? [X0 : $i > $o] : (((cP @ a) & (a != b)) => (? [X2] : (X0 @ X2) & ! [X1] : ((X0 @ X1) => (cP @ X1)) & ~(X0 @ b)))), 0.21/0.39 inference(negated_conjecture,[],[f1])). 0.21/0.39 thf(f1,conjecture,( 0.21/0.39 ? [X0 : $i > $o] : (((cP @ a) & (a != b)) => (? [X2] : (X0 @ X2) & ! [X1] : ((X0 @ X1) => (cP @ X1)) & ~(X0 @ b)))), 0.21/0.39 file('/export/starexec/sandbox/tmp/tmp.z9RmQP6eKt/E---3.1_15110.p',cBLEDSOE6)). 0.21/0.39 thf(f66,plain,( 0.21/0.39 (a = b)), 0.21/0.39 inference(trivial_inequality_removal,[],[f62])). 0.21/0.39 thf(f62,plain,( 0.21/0.39 ($true != $true) | (a = b)), 0.21/0.39 inference(superposition,[],[f61,f11])). 0.21/0.39 thf(f11,plain,( 0.21/0.39 ((cP @ a) = $true)), 0.21/0.39 inference(cnf_transformation,[],[f10])). 0.21/0.39 thf(f61,plain,( 0.21/0.39 ( ! [X0 : $i] : (((cP @ X0) != $true) | (b = X0)) )), 0.21/0.39 inference(duplicate_literal_removal,[],[f60])). 0.21/0.39 thf(f60,plain,( 0.21/0.39 ( ! [X0 : $i] : ((b = X0) | (b = X0) | ((cP @ X0) != $true)) )), 0.21/0.39 inference(superposition,[],[f28,f21])). 0.21/0.39 thf(f21,plain,( 0.21/0.39 ( ! [X0 : $i] : (((sK0 @ (= @ X0)) = X0) | (b = X0)) )), 0.21/0.39 inference(equality_proxy_clausification,[],[f15])). 0.21/0.39 thf(f15,plain,( 0.21/0.39 ( ! [X0 : $i] : (($true = (X0 = b)) | ((sK0 @ (= @ X0)) = X0)) )), 0.21/0.39 inference(leibniz_equality_elimination,[],[f12])). 0.21/0.39 thf(f12,plain,( 0.21/0.39 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (sK0 @ X0)) = $true) | ((X0 @ b) = $true) | ((X0 @ X1) != $true)) )), 0.21/0.39 inference(cnf_transformation,[],[f10])). 0.21/0.39 thf(f28,plain,( 0.21/0.39 ( ! [X0 : $i] : (((cP @ (sK0 @ (= @ X0))) != $true) | (b = X0)) )), 0.21/0.39 inference(leibniz_equality_elimination,[],[f13])). 0.21/0.39 thf(f13,plain,( 0.21/0.39 ( ! [X0 : $i > $o,X1 : $i] : (((cP @ (sK0 @ X0)) != $true) | ((X0 @ b) = $true) | ((X0 @ X1) != $true)) )), 0.21/0.39 inference(cnf_transformation,[],[f10])). 0.21/0.39 % SZS output end Proof for E---3.1_15110 0.21/0.39 % (15342)------------------------------ 0.21/0.39 % (15342)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (15342)Termination reason: Refutation 0.21/0.39 0.21/0.39 % (15342)Memory used [KB]: 5500 0.21/0.39 % (15342)Time elapsed: 0.006 s 0.21/0.39 % (15342)Instructions burned: 4 (million) 0.21/0.39 % (15342)------------------------------ 0.21/0.39 % (15342)------------------------------ 0.21/0.39 % (15336)Success in time 0.008 s 0.21/0.39 EOF