%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO226^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 0s % DateTime : Tue Mar 29 00:50:57 EDT 2022 % Result : Theorem 0.40s 0.61s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYO226^5 : TPTP v7.5.0. Released v4.0.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % RAMPerCPU : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % DateTime : Fri Mar 11 20:02:41 EST 2022 % 0.12/0.33 % CPUTime : % 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.40/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.40/0.61 FOF formula (forall (X:fofType) (Y:fofType), ((forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))->(((eq fofType) X) Y))) of role conjecture named cTHM47B % 0.40/0.61 Conjecture to prove = (forall (X:fofType) (Y:fofType), ((forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))->(((eq fofType) X) Y))):Prop % 0.40/0.61 Parameter fofType_DUMMY:fofType. % 0.40/0.61 We need to prove ['(forall (X:fofType) (Y:fofType), ((forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))->(((eq fofType) X) Y)))'] % 0.40/0.61 Parameter fofType:Type. % 0.40/0.61 Trying to prove (forall (X:fofType) (Y:fofType), ((forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))->(((eq fofType) X) Y))) % 0.40/0.61 Found eq_ref0:=(eq_ref fofType):(forall (a:fofType), (((eq fofType) a) a)) % 0.40/0.61 Found (eq_ref fofType) as proof of (forall (Z:fofType), (((eq fofType) Z) Z)) % 0.40/0.61 Found (eq_ref fofType) as proof of (forall (Z:fofType), (((eq fofType) Z) Z)) % 0.40/0.61 Found (x0 (eq_ref fofType)) as proof of (((eq fofType) X) Y) % 0.40/0.61 Found ((x (eq fofType)) (eq_ref fofType)) as proof of (((eq fofType) X) Y) % 0.40/0.61 Found (fun (x:(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))=> ((x (eq fofType)) (eq_ref fofType))) as proof of (((eq fofType) X) Y) % 0.40/0.61 Found (fun (Y:fofType) (x:(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))=> ((x (eq fofType)) (eq_ref fofType))) as proof of ((forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))->(((eq fofType) X) Y)) % 0.40/0.61 Found (fun (X:fofType) (Y:fofType) (x:(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))=> ((x (eq fofType)) (eq_ref fofType))) as proof of (forall (Y:fofType), ((forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))->(((eq fofType) X) Y))) % 0.40/0.61 Found (fun (X:fofType) (Y:fofType) (x:(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))=> ((x (eq fofType)) (eq_ref fofType))) as proof of (forall (X:fofType) (Y:fofType), ((forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y)))->(((eq fofType) X) Y))) % 0.40/0.61 Got proof (fun (X:fofType) (Y:fofType) (x:(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))=> ((x (eq fofType)) (eq_ref fofType))) % 0.40/0.61 Time elapsed = 0.107241s % 0.40/0.61 node=19 cost=-46.000000 depth=7 % 0.40/0.61 :::::::::::::::::::::: % 0.40/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.40/0.61 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.40/0.61 (fun (X:fofType) (Y:fofType) (x:(forall (R:(fofType->(fofType->Prop))), ((forall (Z:fofType), ((R Z) Z))->((R X) Y))))=> ((x (eq fofType)) (eq_ref fofType))) % 0.40/0.61 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------