%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO380^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n025.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 0.40s 0.61s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.11 % Problem : SYO380^5 : TPTP v7.5.0. Released v4.0.0. % 0.04/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.33 % Computer : n025.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % RAMPerCPU : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % DateTime : Sat Mar 12 09:38:17 EST 2022 % 0.13/0.33 % CPUTime : % 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.13/0.34 Python 2.7.5 % 0.40/0.61 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.40/0.61 FOF formula (<kernel.Constant object at 0xa53fc8>, <kernel.DependentProduct object at 0x2b38d3817998>) of role type named cR % 0.40/0.61 Using role type % 0.40/0.61 Declaring cR:(fofType->(fofType->Prop)) % 0.40/0.61 FOF formula (<kernel.Constant object at 0x2b38d381a5f0>, <kernel.Single object at 0xa53c20>) of role type named x % 0.40/0.61 Using role type % 0.40/0.61 Declaring x:fofType % 0.40/0.61 FOF formula ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) of role conjecture named cX_2002_12_17_B % 0.40/0.61 Conjecture to prove = ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))):Prop % 0.40/0.61 We need to prove ['((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0))))))'] % 0.40/0.61 Parameter fofType:Type. % 0.40/0.61 Parameter cR:(fofType->(fofType->Prop)). % 0.40/0.61 Parameter x:fofType. % 0.40/0.61 Trying to prove ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) % 0.40/0.61 Found x1:((cR x) x0) % 0.40/0.61 Instantiate: x2:=x0:fofType;x0:=x:fofType % 0.40/0.61 Found x1 as proof of ((cR x0) x2) % 0.40/0.61 Found (ex_intro010 x1) as proof of ((ex fofType) (fun (Xx0:fofType)=> ((cR x0) Xx0))) % 0.40/0.61 Found ((ex_intro01 x0) x1) as proof of ((ex fofType) (fun (Xx0:fofType)=> ((cR x0) Xx0))) % 0.40/0.61 Found (((ex_intro0 (fun (Xx0:fofType)=> ((cR x0) Xx0))) x0) x1) as proof of ((ex fofType) (fun (Xx0:fofType)=> ((cR x0) Xx0))) % 0.40/0.61 Found (fun (x1:((cR x) x0))=> (((ex_intro0 (fun (Xx0:fofType)=> ((cR x0) Xx0))) x0) x1)) as proof of ((ex fofType) (fun (Xx0:fofType)=> ((cR x0) Xx0))) % 0.40/0.61 Found (fun (x1:((cR x) x0))=> (((ex_intro0 (fun (Xx0:fofType)=> ((cR x0) Xx0))) x0) x1)) as proof of (((cR x) x0)->((ex fofType) (fun (Xx0:fofType)=> ((cR x0) Xx0)))) % 0.40/0.61 Found (ex_intro000 (fun (x1:((cR x) x0))=> (((ex_intro0 (fun (Xx0:fofType)=> ((cR x0) Xx0))) x0) x1))) as proof of ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) % 0.40/0.61 Found ((ex_intro00 x) (fun (x1:((cR x) x))=> (((ex_intro0 (fun (Xx0:fofType)=> ((cR x) Xx0))) x) x1))) as proof of ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) % 0.40/0.61 Found (((ex_intro0 (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) x) (fun (x1:((cR x) x))=> (((ex_intro0 (fun (Xx0:fofType)=> ((cR x) Xx0))) x) x1))) as proof of ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) % 0.40/0.61 Found ((((ex_intro fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) x) (fun (x1:((cR x) x))=> ((((ex_intro fofType) (fun (Xx0:fofType)=> ((cR x) Xx0))) x) x1))) as proof of ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) % 0.40/0.61 Found ((((ex_intro fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) x) (fun (x1:((cR x) x))=> ((((ex_intro fofType) (fun (Xx0:fofType)=> ((cR x) Xx0))) x) x1))) as proof of ((ex fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) % 0.40/0.61 Got proof ((((ex_intro fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) x) (fun (x1:((cR x) x))=> ((((ex_intro fofType) (fun (Xx0:fofType)=> ((cR x) Xx0))) x) x1))) % 0.40/0.61 Time elapsed = 0.048661s % 0.40/0.61 node=10 cost=925.000000 depth=10 % 0.40/0.61 :::::::::::::::::::::: % 0.40/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.40/0.61 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.40/0.61 ((((ex_intro fofType) (fun (Xy:fofType)=> (((cR x) Xy)->((ex fofType) (fun (Xx0:fofType)=> ((cR Xy) Xx0)))))) x) (fun (x1:((cR x) x))=> ((((ex_intro fofType) (fun (Xx0:fofType)=> ((cR x) Xx0))) x) x1))) % 0.40/0.61 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------