0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.11/0.33 % Computer : n015.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 : 300 0.11/0.33 % WCLimit : 300 0.11/0.33 % DateTime : Fri Jul 5 04:22:39 EDT 2024 0.11/0.33 % CPUTime : 0.11/0.35 This is a THF_ problem 0.11/0.35 Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.37 % (27722)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi) 0.11/0.37 % (27720)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi) 0.11/0.38 % (27722)Refutation not found, incomplete strategy 0.11/0.38 % (27722)------------------------------ 0.11/0.38 % (27722)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.38 % (27722)Termination reason: Refutation not found, incomplete strategy 0.11/0.38 0.11/0.38 0.11/0.38 % (27722)Memory used [KB]: 5500 0.11/0.38 % (27722)Time elapsed: 0.003 s 0.11/0.38 % (27722)Instructions burned: 2 (million) 0.11/0.38 % (27722)------------------------------ 0.11/0.38 % (27722)------------------------------ 0.11/0.38 % (27720)First to succeed. 0.11/0.38 % (27720)Refutation found. Thanks to Tanya! 0.11/0.38 % SZS status Theorem for theBenchmark 0.11/0.38 % SZS output start Proof for theBenchmark 0.11/0.38 thf(type_def_5, type, 'type/realax/real': $tType). 0.11/0.38 thf(func_def_0, type, 'type/realax/real': $tType). 0.11/0.38 thf(func_def_1, type, 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real'). 0.11/0.38 thf(func_def_2, type, 'const/iterate/polynomial_function': ('type/realax/real' > 'type/realax/real') > $o). 0.11/0.38 thf(func_def_8, type, sK0: 'type/realax/real'). 0.11/0.38 thf(func_def_9, type, sK1: 'type/realax/real' > 'type/realax/real'). 0.11/0.38 thf(func_def_11, type, ph3: !>[X0: $tType]:(X0)). 0.11/0.38 thf(func_def_12, type, sK4: 'type/realax/real'). 0.11/0.38 thf(func_def_13, type, sK5: 'type/realax/real' > 'type/realax/real'). 0.11/0.38 thf(f41,plain,( 0.11/0.38 $false), 0.11/0.38 inference(equality_resolution,[],[f39])). 0.11/0.38 thf(f39,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_mul' @ sK0 @ (sK1 @ (sK5 @ X0))) != ('const/realax/real_mul' @ X0 @ (sK1 @ (sK5 @ X0))))) )), 0.11/0.38 inference(superposition,[],[f38,f15])). 0.11/0.38 thf(f15,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : ((('const/realax/real_mul' @ X0 @ X1) = ('const/realax/real_mul' @ X1 @ X0))) )), 0.11/0.38 inference(cnf_transformation,[],[f10])). 0.11/0.38 thf(f10,plain,( 0.11/0.38 ! [X0 : 'type/realax/real',X1 : 'type/realax/real'] : (('const/realax/real_mul' @ X0 @ X1) = ('const/realax/real_mul' @ X1 @ X0))), 0.11/0.38 inference(rectify,[],[f1])). 0.11/0.38 thf(f1,axiom,( 0.11/0.38 ! [X1 : 'type/realax/real',X0 : 'type/realax/real'] : (('const/realax/real_mul' @ X0 @ X1) = ('const/realax/real_mul' @ X1 @ X0))), 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/REAL_MUL_SYM_')). 0.11/0.38 thf(f38,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real'] : ((('const/realax/real_mul' @ (sK1 @ (sK5 @ X0)) @ sK0) != ('const/realax/real_mul' @ X0 @ (sK1 @ (sK5 @ X0))))) )), 0.11/0.38 inference(beta_eta_normalization,[],[f37])). 0.11/0.38 thf(f37,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real'] : ((((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK1 @ Y0) @ sK0)) @ (sK5 @ X0)) != ((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK1 @ Y0))) @ (sK5 @ X0)))) )), 0.11/0.38 inference(negative_extensionality,[],[f29])). 0.11/0.38 thf(f29,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real'] : (((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK1 @ Y0))) != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK1 @ Y0) @ sK0)))) )), 0.11/0.38 inference(trivial_inequality_removal,[],[f27])). 0.11/0.38 thf(f27,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real'] : (((^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK1 @ Y0))) != (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK1 @ Y0) @ sK0))) | ($true != $true)) )), 0.11/0.38 inference(constrained_superposition,[],[f17,f26])). 0.11/0.38 thf(f26,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real'] : ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK1 @ Y0)))) = $true)) )), 0.11/0.38 inference(trivial_inequality_removal,[],[f25])). 0.11/0.38 thf(f25,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real'] : (($true != $true) | (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (sK1 @ Y0)))) = $true)) )), 0.11/0.38 inference(superposition,[],[f18,f16])). 0.11/0.38 thf(f16,plain,( 0.11/0.38 ($true = ('const/iterate/polynomial_function' @ sK1))), 0.11/0.38 inference(cnf_transformation,[],[f14])). 0.11/0.38 thf(f14,plain,( 0.11/0.38 (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK1 @ Y0) @ sK0))) != $true) & ($true = ('const/iterate/polynomial_function' @ sK1))), 0.11/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13])). 0.11/0.38 thf(f13,plain,( 0.11/0.38 ? [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : (($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (X1 @ Y0) @ X0)))) & (('const/iterate/polynomial_function' @ X1) = $true)) => ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK1 @ Y0) @ sK0))) != $true) & ($true = ('const/iterate/polynomial_function' @ sK1)))), 0.11/0.38 introduced(choice_axiom,[])). 0.11/0.38 thf(f11,plain,( 0.11/0.38 ? [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : (($true != ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (X1 @ Y0) @ X0)))) & (('const/iterate/polynomial_function' @ X1) = $true))), 0.11/0.38 inference(ennf_transformation,[],[f7])). 0.11/0.38 thf(f7,plain,( 0.11/0.38 ~! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X1) = $true) => ($true = ('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (X1 @ Y0) @ X0)))))), 0.11/0.38 inference(fool_elimination,[],[f6])). 0.11/0.38 thf(f6,plain,( 0.11/0.38 ~! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X1) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ (X1 @ X2) @ X0))))), 0.11/0.38 inference(rectify,[],[f3])). 0.11/0.38 thf(f3,negated_conjecture,( 0.11/0.38 ~! [X1 : 'type/realax/real',X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ (X0 @ X2) @ X1))))), 0.11/0.38 inference(negated_conjecture,[],[f2])). 0.11/0.38 thf(f2,conjecture,( 0.11/0.38 ! [X1 : 'type/realax/real',X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ (X0 @ X2) @ X1))))), 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_RMUL_')). 0.11/0.38 thf(f18,plain,( 0.11/0.38 ( ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X1) != $true) | (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (X1 @ Y0)))) = $true)) )), 0.11/0.38 inference(cnf_transformation,[],[f12])). 0.11/0.38 thf(f12,plain,( 0.11/0.38 ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : ((('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (X1 @ Y0)))) = $true) | (('const/iterate/polynomial_function' @ X1) != $true))), 0.11/0.38 inference(ennf_transformation,[],[f9])). 0.11/0.38 thf(f9,plain,( 0.11/0.38 ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : ((('const/iterate/polynomial_function' @ X1) = $true) => (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ X0 @ (X1 @ Y0)))) = $true))), 0.11/0.38 inference(fool_elimination,[],[f8])). 0.11/0.38 thf(f8,plain,( 0.11/0.38 ! [X0 : 'type/realax/real',X1 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X1) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ X0 @ (X1 @ X2)))))), 0.11/0.38 inference(rectify,[],[f4])). 0.11/0.38 thf(f4,axiom,( 0.11/0.38 ! [X1 : 'type/realax/real',X0 : 'type/realax/real' > 'type/realax/real'] : (('const/iterate/polynomial_function' @ X0) => ('const/iterate/polynomial_function' @ (^[X2 : 'type/realax/real'] : ('const/realax/real_mul' @ X1 @ (X0 @ X2)))))), 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_LMUL_')). 0.11/0.38 thf(f17,plain,( 0.11/0.38 (('const/iterate/polynomial_function' @ (^[Y0 : 'type/realax/real']: ('const/realax/real_mul' @ (sK1 @ Y0) @ sK0))) != $true)), 0.11/0.38 inference(cnf_transformation,[],[f14])). 0.11/0.38 % SZS output end Proof for theBenchmark 0.11/0.38 % (27720)------------------------------ 0.11/0.38 % (27720)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.11/0.38 % (27720)Termination reason: Refutation 0.11/0.38 0.11/0.38 % (27720)Memory used [KB]: 5500 0.11/0.38 % (27720)Time elapsed: 0.009 s 0.11/0.38 % (27720)Instructions burned: 7 (million) 0.11/0.38 % (27720)------------------------------ 0.11/0.38 % (27720)------------------------------ 0.11/0.38 % (27719)Success in time 0.023 s 0.11/0.38 % Vampire---4.8 exiting 0.11/0.38 EOF