%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO548^1 : TPTP v7.5.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n027.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 00:52:04 EDT 2022 % Result : Theorem 0.48s 0.70s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SYO548^1 : TPTP v7.5.0. Released v5.2.0. % 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n027.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 : Sun Mar 13 19:51:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.48/0.70 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.48/0.70 FOF formula ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (E P))->False))))) of role conjecture named choicecomp % 0.48/0.70 Conjecture to prove = ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (E P))->False))))):Prop % 0.48/0.70 Parameter fofType_DUMMY:fofType. % 0.48/0.70 We need to prove ['((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (E P))->False)))))'] % 0.48/0.70 Parameter fofType:Type. % 0.48/0.70 Trying to prove ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (E P))->False))))) % 0.48/0.70 Found fofType_DUMMY:fofType % 0.48/0.70 Found fofType_DUMMY as proof of fofType % 0.48/0.70 Found (classical_choice000 fofType_DUMMY) as proof of ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (E P))))))) % 0.48/0.70 Found ((classical_choice00 (fun (x4:(fofType->Prop)) (x30:fofType)=> (not (x4 x30)))) fofType_DUMMY) as proof of ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (E P))))))) % 0.48/0.70 Found (((classical_choice0 fofType) (fun (x4:(fofType->Prop)) (x30:fofType)=> (not (x4 x30)))) fofType_DUMMY) as proof of ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (E P))))))) % 0.48/0.70 Found ((((classical_choice (fofType->Prop)) fofType) (fun (x4:(fofType->Prop)) (x30:fofType)=> (not (x4 x30)))) fofType_DUMMY) as proof of ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (E P))))))) % 0.48/0.70 Found ((((classical_choice (fofType->Prop)) fofType) (fun (x4:(fofType->Prop)) (x30:fofType)=> (not (x4 x30)))) fofType_DUMMY) as proof of ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (E P))))))) % 0.48/0.70 Found ((((classical_choice (fofType->Prop)) fofType) (fun (x4:(fofType->Prop)) (x30:fofType)=> (not (x4 x30)))) fofType_DUMMY) as proof of ((ex ((fofType->Prop)->fofType)) (fun (E:((fofType->Prop)->fofType))=> (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (E P))->False))))) % 0.48/0.70 Got proof ((((classical_choice (fofType->Prop)) fofType) (fun (x4:(fofType->Prop)) (x30:fofType)=> (not (x4 x30)))) fofType_DUMMY) % 0.48/0.70 Time elapsed = 0.088890s % 0.48/0.70 node=12 cost=167.000000 depth=6 % 0.48/0.70 :::::::::::::::::::::: % 0.48/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.48/0.70 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.48/0.70 ((((classical_choice (fofType->Prop)) fofType) (fun (x4:(fofType->Prop)) (x30:fofType)=> (not (x4 x30)))) fofType_DUMMY) % 0.48/0.70 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------