0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_vampire %s %d THM 0.14/0.34 % Computer : n027.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1440 0.14/0.34 % WCLimit : 180 0.14/0.34 % DateTime : Thu Jul 4 06:25:24 EDT 2024 0.14/0.34 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.36 Running higher-order theorem proving 0.14/0.37 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.oTa4fesC5V/E---3.1_25494.p -m 16384 -t 180 0.22/0.39 % (25740)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_25494 for (1799ds/4Mi) 0.22/0.39 % (25739)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_25494 for (1799ds/183Mi) 0.22/0.39 % (25741)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_25494 for (1799ds/27Mi) 0.22/0.39 % (25743)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_25494 for (1799ds/2Mi) 0.22/0.39 % (25742)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_25494 for (1799ds/2Mi) 0.22/0.39 % (25744)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_25494 for (1799ds/275Mi) 0.22/0.39 % (25745)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_25494 for (1799ds/18Mi) 0.22/0.39 % (25742)Instruction limit reached! 0.22/0.39 % (25742)------------------------------ 0.22/0.39 % (25742)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (25742)Termination reason: Unknown 0.22/0.39 % (25742)Termination phase: Saturation 0.22/0.39 0.22/0.39 % (25742)Memory used [KB]: 5373 0.22/0.39 % (25742)Time elapsed: 0.004 s 0.22/0.39 % (25742)Instructions burned: 2 (million) 0.22/0.39 % (25742)------------------------------ 0.22/0.39 % (25742)------------------------------ 0.22/0.39 % (25743)Instruction limit reached! 0.22/0.39 % (25743)------------------------------ 0.22/0.39 % (25743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (25743)Termination reason: Unknown 0.22/0.39 % (25743)Termination phase: Saturation 0.22/0.39 0.22/0.39 % (25743)Memory used [KB]: 5500 0.22/0.39 % (25743)Time elapsed: 0.004 s 0.22/0.39 % (25743)Instructions burned: 2 (million) 0.22/0.39 % (25743)------------------------------ 0.22/0.39 % (25743)------------------------------ 0.22/0.39 % (25744)Refutation not found, incomplete strategy 0.22/0.39 % (25744)------------------------------ 0.22/0.39 % (25744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (25744)Termination reason: Refutation not found, incomplete strategy 0.22/0.39 0.22/0.39 0.22/0.39 % (25744)Memory used [KB]: 5500 0.22/0.39 % (25744)Time elapsed: 0.004 s 0.22/0.39 % (25744)Instructions burned: 2 (million) 0.22/0.39 % (25744)------------------------------ 0.22/0.39 % (25744)------------------------------ 0.22/0.39 % (25740)Instruction limit reached! 0.22/0.39 % (25740)------------------------------ 0.22/0.39 % (25740)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.39 % (25740)Termination reason: Unknown 0.22/0.39 % (25740)Termination phase: Saturation 0.22/0.39 0.22/0.39 % (25740)Memory used [KB]: 5500 0.22/0.39 % (25740)Time elapsed: 0.005 s 0.22/0.39 % (25740)Instructions burned: 4 (million) 0.22/0.39 % (25740)------------------------------ 0.22/0.39 % (25740)------------------------------ 0.22/0.39 % (25739)First to succeed. 0.22/0.40 % (25745)Also succeeded, but the first one will report. 0.22/0.40 % (25739)Refutation found. Thanks to Tanya! 0.22/0.40 % SZS status Theorem for E---3.1_25494 0.22/0.40 % SZS output start Proof for E---3.1_25494 0.22/0.40 thf(type_def_5, type, 'type/realax/real': $tType). 0.22/0.40 thf(func_def_0, type, 'type/realax/real': $tType). 0.22/0.40 thf(func_def_1, type, 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real'). 0.22/0.40 thf(func_def_2, type, 'const/iterate/polynomial_function': ('type/realax/real' > 'type/realax/real') > $o). 0.22/0.40 thf(func_def_8, type, sK0: 'type/realax/real' > 'type/realax/real'). 0.22/0.40 thf(func_def_9, type, sK1: 'type/realax/real'). 0.22/0.40 thf(func_def_11, type, ph3: !>[X0: $tType]:(X0)). 0.22/0.40 thf(func_def_12, type, sK4: 'type/realax/real'). 0.22/0.40 thf(func_def_13, type, sK5: ('type/realax/real' > 'type/realax/real') > 'type/realax/real' > 'type/realax/real'). 0.22/0.40 thf(f40,plain,( 0.22/0.40 $false), 0.22/0.40 inference(subsumption_resolution,[],[f39,f15])). 0.22/0.40 thf(f15,plain,( 0.22/0.40 ($true = ('const/iterate/polynomial_function' @ sK0))), 0.22/0.40 inference(cnf_transformation,[],[f13])). 0.22/0.40 thf(f13,plain,( 0.22/0.40 ($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK0 @ Y0) @ sK1)))) & ($true = ('const/iterate/polynomial_function' @ sK0))), 0.22/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f12])). 0.22/0.40 thf(f12,plain,( 0.22/0.40 ? [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (X0 @ Y0) @ X1)))) & (('const/iterate/polynomial_function' @ X0) = $true)) => (($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK0 @ Y0) @ sK1)))) & ($true = ('const/iterate/polynomial_function' @ sK0)))), 0.22/0.40 introduced(choice_axiom,[])). 0.22/0.40 thf(f10,plain,( 0.22/0.40 ? [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (X0 @ Y0) @ X1)))) & (('const/iterate/polynomial_function' @ X0) = $true))), 0.22/0.40 inference(ennf_transformation,[],[f9])). 0.22/0.40 thf(f9,plain,( 0.22/0.40 ~! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X0) = $true) => ($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (X0 @ Y0) @ X1)))))), 0.22/0.40 inference(fool_elimination,[],[f8])). 0.22/0.40 thf(f8,plain,( 0.22/0.40 ~! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ (X0 @ X2) @ X1))))), 0.22/0.40 inference(rectify,[],[f3])). 0.22/0.40 thf(f3,negated_conjecture,( 0.22/0.40 ~! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ (X0 @ X2) @ X1))))), 0.22/0.40 inference(negated_conjecture,[],[f2])). 0.22/0.40 thf(f2,conjecture,( 0.22/0.40 ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ (X0 @ X2) @ X1))))), 0.22/0.40 file('/export/starexec/sandbox/tmp/tmp.oTa4fesC5V/E---3.1_25494.p','thm/iterate/POLYNOMIAL_FUNCTION_RMUL_')). 0.22/0.40 thf(f39,plain,( 0.22/0.40 ($true != ('const/iterate/polynomial_function' @ sK0))), 0.22/0.40 inference(beta_eta_normalization,[],[f38])). 0.22/0.40 thf(f38,plain,( 0.22/0.40 ($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: (sK0 @ ((^[Y1 : 'type/realax/real']: (Y1)) @ Y0)))))), 0.22/0.40 inference(equality_resolution,[],[f32])). 0.22/0.40 thf(f32,plain,( 0.22/0.40 ( ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_mul' @ sK1 @ (sK0 @ (sK5 @ X0 @ X1))) != ('const/realax/real_mul' @ X1 @ (X0 @ (sK5 @ X0 @ X1)))) | (('const/iterate/polynomial_function' @ X0) != $true)) )), 0.22/0.40 inference(superposition,[],[f27,f17])). 0.22/0.40 thf(f17,plain,( 0.22/0.40 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_mul' @ X0 @ X1) = ('const/realax/real_mul' @ X1 @ X0))) )), 0.22/0.40 inference(cnf_transformation,[],[f1])). 0.22/0.40 thf(f1,axiom,( 0.22/0.40 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_mul' @ X0 @ X1) = ('const/realax/real_mul' @ X1 @ X0))), 0.22/0.40 file('/export/starexec/sandbox/tmp/tmp.oTa4fesC5V/E---3.1_25494.p','thm/realax/REAL_MUL_SYM_')). 0.22/0.40 thf(f27,plain,( 0.22/0.40 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : ((('const/realax/real_mul' @ X0 @ (X1 @ (sK5 @ X1 @ X0))) != ('const/realax/real_mul' @ (sK0 @ (sK5 @ X1 @ X0)) @ sK1)) | ($true != ('const/iterate/polynomial_function' @ X1))) )), 0.22/0.40 inference(beta_eta_normalization,[],[f26])). 0.22/0.40 thf(f26,plain,( 0.22/0.40 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : (($true != ('const/iterate/polynomial_function' @ X1)) | (((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (X1 @ Y0))) @ (sK5 @ X1 @ X0)) != ((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK0 @ Y0) @ sK1)) @ (sK5 @ X1 @ X0)))) )), 0.22/0.40 inference(negative_extensionality,[],[f25])). 0.22/0.40 thf(f25,plain,( 0.22/0.40 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : (((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK0 @ Y0) @ sK1)) != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (X1 @ Y0)))) | ($true != ('const/iterate/polynomial_function' @ X1))) )), 0.22/0.40 inference(trivial_inequality_removal,[],[f24])). 0.22/0.40 thf(f24,plain,( 0.22/0.40 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : (($true != $true) | ((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK0 @ Y0) @ sK1)) != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (X1 @ Y0)))) | ($true != ('const/iterate/polynomial_function' @ X1))) )), 0.22/0.40 inference(constrained_superposition,[],[f16,f14])). 0.22/0.40 thf(f14,plain,( 0.22/0.40 ( ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X1 @ (X0 @ Y0))))) | (('const/iterate/polynomial_function' @ X0) != $true)) )), 0.22/0.40 inference(cnf_transformation,[],[f11])). 0.22/0.40 thf(f11,plain,( 0.22/0.40 ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X0) != $true) | ($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X1 @ (X0 @ Y0))))))), 0.22/0.40 inference(ennf_transformation,[],[f7])). 0.22/0.40 thf(f7,plain,( 0.22/0.40 ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X0) = $true) => ($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X1 @ (X0 @ Y0))))))), 0.22/0.40 inference(fool_elimination,[],[f6])). 0.22/0.40 thf(f6,plain,( 0.22/0.40 ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ X1 @ (X0 @ X2)))))), 0.22/0.40 inference(rectify,[],[f4])). 0.22/0.40 thf(f4,axiom,( 0.22/0.40 ! [X0 : 'type/realax/real' > 'type/realax/real',X1 : 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ X1 @ (X0 @ X2)))))), 0.22/0.40 file('/export/starexec/sandbox/tmp/tmp.oTa4fesC5V/E---3.1_25494.p','thm/iterate/POLYNOMIAL_FUNCTION_LMUL_')). 0.22/0.40 thf(f16,plain,( 0.22/0.40 ($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK0 @ Y0) @ sK1))))), 0.22/0.40 inference(cnf_transformation,[],[f13])). 0.22/0.40 % SZS output end Proof for E---3.1_25494 0.22/0.40 % (25739)------------------------------ 0.22/0.40 % (25739)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.22/0.40 % (25739)Termination reason: Refutation 0.22/0.40 0.22/0.40 % (25739)Memory used [KB]: 5500 0.22/0.40 % (25739)Time elapsed: 0.009 s 0.22/0.40 % (25739)Instructions burned: 7 (million) 0.22/0.40 % (25739)------------------------------ 0.22/0.40 % (25739)------------------------------ 0.22/0.40 % (25738)Success in time 0.022 s 0.22/0.40 EOF