%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO123^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n029.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 00:50:41 EDT 2022 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.15 % Problem : SYO123^5 : TPTP v7.5.0. Released v4.0.0. % 0.07/0.16 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.37 % Computer : n029.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % RAMPerCPU : 8042.1875MB % 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % DateTime : Fri Mar 11 15:50:15 EST 2022 % 0.12/0.37 % CPUTime : % 0.12/0.38 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.39 Python 2.7.5 % 0.45/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d6e758>, <kernel.Constant object at 0x1d6ed40>) of role type named b % 0.45/0.68 Using role type % 0.45/0.68 Declaring b:fofType % 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d72e18>, <kernel.DependentProduct object at 0x1d6e878>) of role type named cP % 0.45/0.68 Using role type % 0.45/0.68 Declaring cP:(fofType->Prop) % 0.45/0.68 FOF formula (<kernel.Constant object at 0x1d6e758>, <kernel.Single object at 0x1d6e098>) of role type named a % 0.45/0.68 Using role type % 0.45/0.68 Declaring a:fofType % 0.45/0.68 FOF formula ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b))) of role conjecture named cALLCONJ2 % 0.45/0.68 Conjecture to prove = ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b))):Prop % 0.45/0.68 We need to prove ['((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b)))'] % 0.45/0.68 Parameter fofType:Type. % 0.45/0.68 Parameter b:fofType. % 0.45/0.68 Parameter cP:(fofType->Prop). % 0.45/0.68 Parameter a:fofType. % 0.45/0.68 Trying to prove ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b))) % 0.45/0.68 Found x0:=(x a):(cP a) % 0.45/0.68 Found (x a) as proof of (cP a) % 0.45/0.68 Found (x a) as proof of (cP a) % 0.45/0.68 Found x0:=(x b):(cP b) % 0.45/0.68 Found (x b) as proof of (cP b) % 0.45/0.68 Found (x b) as proof of (cP b) % 0.45/0.68 Found ((conj00 (x a)) (x b)) as proof of ((and (cP a)) (cP b)) % 0.45/0.68 Found (((conj0 (cP b)) (x a)) (x b)) as proof of ((and (cP a)) (cP b)) % 0.45/0.68 Found ((((conj (cP a)) (cP b)) (x a)) (x b)) as proof of ((and (cP a)) (cP b)) % 0.45/0.68 Found (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b))) as proof of ((and (cP a)) (cP b)) % 0.45/0.68 Found (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b))) as proof of ((forall (Xx:fofType), (cP Xx))->((and (cP a)) (cP b))) % 0.45/0.68 Got proof (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b))) % 0.45/0.68 Time elapsed = 0.030470s % 0.45/0.68 node=8 cost=13.000000 depth=6 % 0.45/0.68 :::::::::::::::::::::: % 0.45/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.45/0.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.45/0.68 (fun (x:(forall (Xx:fofType), (cP Xx)))=> ((((conj (cP a)) (cP b)) (x a)) (x b))) % 0.45/0.68 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------