0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n022.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 03:39:19 EDT 2025 0.12/0.34 % CPUTime : 0.21/0.36 This is a THF_ problem 0.21/0.36 Running higher-order theorem proving 0.21/0.37 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.Zqw8ZsDbD9/E---3.1_9308.p -m 16384 -t 240 0.21/0.39 % (9530)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_9308 for (2399ds/183Mi) 0.21/0.39 % (9531)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_9308 for (2399ds/4Mi) 0.21/0.39 % (9535)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_9308 for (2399ds/275Mi) 0.21/0.39 % (9532)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_9308 for (2399ds/27Mi) 0.21/0.39 % (9534)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_9308 for (2399ds/2Mi) 0.21/0.39 % (9536)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_9308 for (2399ds/18Mi) 0.21/0.39 % (9535)Refutation not found, incomplete strategy 0.21/0.39 % (9535)------------------------------ 0.21/0.39 % (9535)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (9535)Termination reason: Refutation not found, incomplete strategy 0.21/0.39 0.21/0.39 0.21/0.39 % (9535)Memory used [KB]: 5500 0.21/0.39 % (9535)Time elapsed: 0.003 s 0.21/0.39 % (9535)Instructions burned: 1 (million) 0.21/0.39 % (9535)------------------------------ 0.21/0.39 % (9535)------------------------------ 0.21/0.39 % (9534)Instruction limit reached! 0.21/0.39 % (9534)------------------------------ 0.21/0.39 % (9534)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (9534)Termination reason: Unknown 0.21/0.39 % (9534)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (9534)Memory used [KB]: 5500 0.21/0.39 % (9534)Time elapsed: 0.004 s 0.21/0.39 % (9534)Instructions burned: 2 (million) 0.21/0.39 % (9534)------------------------------ 0.21/0.39 % (9534)------------------------------ 0.21/0.39 % (9532)Refutation not found, incomplete strategy 0.21/0.39 % (9532)------------------------------ 0.21/0.39 % (9532)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (9532)Termination reason: Refutation not found, incomplete strategy 0.21/0.39 0.21/0.39 0.21/0.39 % (9532)Memory used [KB]: 5500 0.21/0.39 % (9532)Time elapsed: 0.004 s 0.21/0.39 % (9532)Instructions burned: 2 (million) 0.21/0.39 % (9532)------------------------------ 0.21/0.39 % (9532)------------------------------ 0.21/0.39 % (9531)First to succeed. 0.21/0.39 % (9536)Also succeeded, but the first one will report. 0.21/0.39 % (9533)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_9308 for (2399ds/2Mi) 0.21/0.39 % (9531)Refutation found. Thanks to Tanya! 0.21/0.39 % SZS status Theorem for E---3.1_9308 0.21/0.39 % SZS output start Proof for E---3.1_9308 0.21/0.39 thf(type_def_5, type, beverage: $tType). 0.21/0.39 thf(type_def_7, type, syrup: $tType). 0.21/0.39 thf(func_def_0, type, syrup: $tType). 0.21/0.39 thf(func_def_1, type, beverage: $tType). 0.21/0.39 thf(func_def_2, type, coffee: beverage). 0.21/0.39 thf(func_def_3, type, heat: beverage > beverage). 0.21/0.39 thf(func_def_4, type, hot: beverage > $o). 0.21/0.39 thf(func_def_5, type, mix: beverage > syrup > beverage). 0.21/0.39 thf(func_def_6, type, hot_mixture: beverage > syrup > beverage). 0.21/0.39 thf(func_def_7, type, cold_mixture: beverage > syrup > beverage). 0.21/0.39 thf(func_def_15, type, sK0: (beverage > syrup > beverage) > syrup). 0.21/0.39 thf(func_def_17, type, ph2: !>[X0: $tType]:(X0)). 0.21/0.39 thf(f28,plain,( 0.21/0.39 $false), 0.21/0.39 inference(flex-flex_simplify,[],[f27])). 0.21/0.39 thf(f27,plain,( 0.21/0.39 ( ! [X0 : beverage > syrup > beverage,X1 : beverage] : (((X0 @ coffee @ (sK0 @ (^[Y0 : beverage]: ((^[Y1 : syrup]: (heat @ (X0 @ Y0 @ Y1))))))) != X1)) )), 0.21/0.39 inference(trivial_inequality_removal,[],[f25])). 0.21/0.39 thf(f25,plain,( 0.21/0.39 ( ! [X0 : beverage > syrup > beverage,X1 : beverage] : (((X0 @ coffee @ (sK0 @ (^[Y0 : beverage]: ((^[Y1 : syrup]: (heat @ (X0 @ Y0 @ Y1))))))) != X1) | ($true != $true)) )), 0.21/0.39 inference(constrained_superposition,[],[f20,f22])). 0.21/0.39 thf(f22,plain,( 0.21/0.39 ( ! [X1 : beverage] : (((hot @ (heat @ X1)) = $true)) )), 0.21/0.39 inference(beta_eta_normalization,[],[f21])). 0.21/0.39 thf(f21,plain,( 0.21/0.39 ( ! [X1 : beverage] : (($true = ((^[Y0 : beverage]: (hot @ (heat @ Y0))) @ X1))) )), 0.21/0.39 inference(pi_clausification,[],[f18])). 0.21/0.39 thf(f18,plain,( 0.21/0.39 ((!! @ beverage @ (^[Y0 : beverage]: (hot @ (heat @ Y0)))) = $true)), 0.21/0.39 inference(cnf_transformation,[],[f9])). 0.21/0.39 thf(f9,plain,( 0.21/0.39 ((!! @ beverage @ (^[Y0 : beverage]: (hot @ (heat @ Y0)))) = $true)), 0.21/0.39 inference(fool_elimination,[],[f8])). 0.21/0.39 thf(f8,plain,( 0.21/0.39 ! [X0 : beverage] : (hot @ (heat @ X0))), 0.21/0.39 inference(rectify,[],[f5])). 0.21/0.39 thf(f5,axiom,( 0.21/0.39 ! [X0 : beverage] : (hot @ (heat @ X0))), 0.21/0.39 file('/export/starexec/sandbox2/tmp/tmp.Zqw8ZsDbD9/E---3.1_9308.p',its_hot)). 0.21/0.39 thf(f20,plain,( 0.21/0.39 ( ! [X0 : beverage > syrup > beverage] : (((hot @ (X0 @ coffee @ (sK0 @ X0))) != $true)) )), 0.21/0.39 inference(equality_resolution,[],[f17])). 0.21/0.39 thf(f17,plain,( 0.21/0.39 ( ! [X2 : beverage,X0 : beverage > syrup > beverage] : (((X0 @ coffee @ (sK0 @ X0)) != X2) | ((hot @ X2) != $true)) )), 0.21/0.39 inference(cnf_transformation,[],[f15])). 0.21/0.39 thf(f15,plain,( 0.21/0.39 ! [X0 : beverage > syrup > beverage] : ! [X2 : beverage] : (((X0 @ coffee @ (sK0 @ X0)) != X2) | ((hot @ X2) != $true))), 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14])). 0.21/0.39 thf(f14,plain,( 0.21/0.39 ! [X0 : beverage > syrup > beverage] : (? [X1 : syrup] : ! [X2 : beverage] : (((X0 @ coffee @ X1) != X2) | ((hot @ X2) != $true)) => ! [X2 : beverage] : (((X0 @ coffee @ (sK0 @ X0)) != X2) | ((hot @ X2) != $true)))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f13,plain,( 0.21/0.39 ! [X0 : beverage > syrup > beverage] : ? [X1 : syrup] : ! [X2 : beverage] : (((X0 @ coffee @ X1) != X2) | ((hot @ X2) != $true))), 0.21/0.39 inference(ennf_transformation,[],[f11])). 0.21/0.39 thf(f11,plain,( 0.21/0.39 ~? [X0 : beverage > syrup > beverage] : ! [X1 : syrup] : ? [X2 : beverage] : (((X0 @ coffee @ X1) = X2) & ((hot @ X2) = $true))), 0.21/0.39 inference(fool_elimination,[],[f10])). 0.21/0.39 thf(f10,plain,( 0.21/0.39 ~? [X0 : beverage > syrup > beverage] : ! [X1 : syrup] : ? [X2 : beverage] : ((hot @ X2) & ((X0 @ coffee @ X1) = X2))), 0.21/0.39 inference(rectify,[],[f4])). 0.21/0.39 thf(f4,negated_conjecture,( 0.21/0.39 ~? [X2 : beverage > syrup > beverage] : ! [X1 : syrup] : ? [X0 : beverage] : ((hot @ X0) & ((X2 @ coffee @ X1) = X0))), 0.21/0.39 inference(negated_conjecture,[],[f3])). 0.21/0.39 thf(f3,conjecture,( 0.21/0.39 ? [X2 : beverage > syrup > beverage] : ! [X1 : syrup] : ? [X0 : beverage] : ((hot @ X0) & ((X2 @ coffee @ X1) = X0))), 0.21/0.39 file('/export/starexec/sandbox2/tmp/tmp.Zqw8ZsDbD9/E---3.1_9308.p',hot_coffee)). 0.21/0.39 % SZS output end Proof for E---3.1_9308 0.21/0.39 % (9531)------------------------------ 0.21/0.39 % (9531)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.21/0.39 % (9531)Termination reason: Refutation 0.21/0.39 0.21/0.39 % (9531)Memory used [KB]: 5500 0.21/0.39 % (9531)Time elapsed: 0.005 s 0.21/0.39 % (9531)Instructions burned: 2 (million) 0.21/0.40 % (9531)------------------------------ 0.21/0.40 % (9531)------------------------------ 0.21/0.40 % (9526)Success in time 0.02 s 0.21/0.40 EOF