%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO382^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n009.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 0.60s 0.79s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO382^5 : TPTP v7.5.0. Released v4.0.0. % 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n009.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 09:45:37 EST 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 % 0.60/0.78 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.60/0.78 FOF formula (<kernel.Constant object at 0x1e325a8>, <kernel.DependentProduct object at 0x1e36d88>) of role type named cS % 0.60/0.78 Using role type % 0.60/0.78 Declaring cS:(fofType->Prop) % 0.60/0.78 FOF formula (<kernel.Constant object at 0x1e32878>, <kernel.DependentProduct object at 0x2b1c211346c8>) of role type named cQ % 0.60/0.78 Using role type % 0.60/0.78 Declaring cQ:(fofType->(fofType->Prop)) % 0.60/0.78 FOF formula (<kernel.Constant object at 0x1e36d40>, <kernel.DependentProduct object at 0x2b1c21134c68>) of role type named cP % 0.60/0.78 Using role type % 0.60/0.78 Declaring cP:(fofType->(fofType->Prop)) % 0.60/0.78 FOF formula ((((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))->(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))) of role conjecture named cTHM407 % 0.60/0.78 Conjecture to prove = ((((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))->(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))):Prop % 0.60/0.78 Parameter fofType_DUMMY:fofType. % 0.60/0.78 We need to prove ['((((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))->(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False)))))'] % 0.60/0.78 Parameter fofType:Type. % 0.60/0.78 Parameter cS:(fofType->Prop). % 0.60/0.78 Parameter cQ:(fofType->(fofType->Prop)). % 0.60/0.78 Parameter cP:(fofType->(fofType->Prop)). % 0.60/0.78 Trying to prove ((((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))->(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))) % 0.60/0.78 Found x:(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False)))) % 0.60/0.78 Found (fun (x:(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False)))))=> x) as proof of (((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False)))) % 0.60/0.79 Found (fun (x:(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False)))))=> x) as proof of ((((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))->(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False))))) % 0.60/0.79 Got proof (fun (x:(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False)))))=> x) % 0.60/0.79 Time elapsed = 0.164909s % 0.60/0.79 node=1 cost=3.000000 depth=1 % 0.60/0.79 :::::::::::::::::::::: % 0.60/0.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.60/0.79 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.60/0.79 (fun (x:(((and ((and ((ex fofType) (fun (Xv:fofType)=> (forall (Xx:fofType), ((cP Xx) Xv))))) (forall (Xx:fofType), ((cS Xx)->((ex fofType) (fun (Xy:fofType)=> ((cQ Xy) Xx))))))) (forall (Xx:fofType) (Xy:fofType), (((cP Xx) Xy)->(((cQ Xx) Xy)->False))))->((ex fofType) (fun (Xu:fofType)=> ((cS Xu)->False)))))=> x) % 0.60/0.79 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------