%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO384^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n031.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 00:51:18 EDT 2022 % Result : Theorem 0.69s 0.88s % Output : Proof 0.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYO384^5 : TPTP v7.5.0. Released v4.0.0. % 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n031.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 : Sat Mar 12 10:15:59 EST 2022 % 0.12/0.33 % CPUTime : % 0.19/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.19/0.34 Python 2.7.5 % 0.45/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b1fc3c22320>, <kernel.DependentProduct object at 0x2b1fc3c22128>) of role type named cD % 0.45/0.63 Using role type % 0.45/0.63 Declaring cD:(fofType->(fofType->(fofType->Prop))) % 0.45/0.63 FOF formula (<kernel.Constant object at 0x2246f38>, <kernel.DependentProduct object at 0x22419e0>) of role type named cF % 0.45/0.63 Using role type % 0.45/0.63 Declaring cF:(fofType->(fofType->Prop)) % 0.45/0.63 FOF formula (<kernel.Constant object at 0x2b1fc3c227e8>, <kernel.DependentProduct object at 0x2241b48>) of role type named cS % 0.45/0.63 Using role type % 0.45/0.63 Declaring cS:(fofType->(fofType->Prop)) % 0.45/0.63 FOF formula ((((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))->(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))) of role conjecture named cTHM408 % 0.45/0.63 Conjecture to prove = ((((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))->(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))):Prop % 0.45/0.63 Parameter fofType_DUMMY:fofType. % 0.45/0.63 We need to prove ['((((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))->(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe))))))))))))'] % 0.69/0.87 Parameter fofType:Type. % 0.69/0.87 Parameter cD:(fofType->(fofType->(fofType->Prop))). % 0.69/0.87 Parameter cF:(fofType->(fofType->Prop)). % 0.69/0.87 Parameter cS:(fofType->(fofType->Prop)). % 0.69/0.87 Trying to prove ((((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))->(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))) % 0.69/0.87 Found x:(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe))))))))))) % 0.69/0.87 Found (fun (x:(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe))))))))))))=> x) as proof of (((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe))))))))))) % 0.69/0.87 Found (fun (x:(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe))))))))))))=> x) as proof of ((((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))->(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe)))))))))))) % 0.69/0.88 Got proof (fun (x:(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe))))))))))))=> x) % 0.69/0.88 Time elapsed = 0.236901s % 0.69/0.88 node=1 cost=2.000000 depth=1 % 0.69/0.88 :::::::::::::::::::::: % 0.69/0.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.69/0.88 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.69/0.88 (fun (x:(((and ((and (forall (Xx:fofType), ((ex fofType) (fun (Xy:fofType)=> ((cF Xx) Xy))))) ((ex fofType) (fun (Xx:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xn:fofType)=> (forall (Xw:fofType), (((cS Xn) Xw)->(((cD Xw) Xx) Xe)))))))))) (forall (Xe:fofType), ((ex fofType) (fun (Xd:fofType)=> (forall (Xa:fofType) (Xb:fofType), ((((cD Xa) Xb) Xd)->(forall (Xy:fofType) (Xz:fofType), (((and ((cF Xa) Xy)) ((cF Xb) Xz))->(((cD Xy) Xz) Xe)))))))))->((ex fofType) (fun (Xy:fofType)=> (forall (Xe:fofType), ((ex fofType) (fun (Xm:fofType)=> (forall (Xw:fofType), (((cS Xm) Xw)->(forall (Xz:fofType), (((cF Xw) Xz)->(((cD Xz) Xy) Xe))))))))))))=> x) % 0.69/0.88 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------