%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO375^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n020.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 00:51:17 EDT 2022 % Result : Theorem 0.48s 0.66s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SYO375^5 : TPTP v7.5.0. Released v4.0.0. % 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n020.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 08:51:41 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 % 0.48/0.66 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.48/0.66 FOF formula (forall (X:(fofType->Prop)) (Y:(fofType->Prop)), ((forall (W:fofType), ((iff (X W)) (Y W)))->(forall (Xx:fofType), ((iff (X Xx)) (Y Xx))))) of role conjecture named cEXT_SET1 % 0.48/0.66 Conjecture to prove = (forall (X:(fofType->Prop)) (Y:(fofType->Prop)), ((forall (W:fofType), ((iff (X W)) (Y W)))->(forall (Xx:fofType), ((iff (X Xx)) (Y Xx))))):Prop % 0.48/0.66 Parameter fofType_DUMMY:fofType. % 0.48/0.66 We need to prove ['(forall (X:(fofType->Prop)) (Y:(fofType->Prop)), ((forall (W:fofType), ((iff (X W)) (Y W)))->(forall (Xx:fofType), ((iff (X Xx)) (Y Xx)))))'] % 0.48/0.66 Parameter fofType:Type. % 0.48/0.66 Trying to prove (forall (X:(fofType->Prop)) (Y:(fofType->Prop)), ((forall (W:fofType), ((iff (X W)) (Y W)))->(forall (Xx:fofType), ((iff (X Xx)) (Y Xx))))) % 0.48/0.66 Found x:(forall (W:fofType), ((iff (X W)) (Y W))) % 0.48/0.66 Found (fun (x:(forall (W:fofType), ((iff (X W)) (Y W))))=> x) as proof of (forall (Xx:fofType), ((iff (X Xx)) (Y Xx))) % 0.48/0.66 Found (fun (Y:(fofType->Prop)) (x:(forall (W:fofType), ((iff (X W)) (Y W))))=> x) as proof of ((forall (W:fofType), ((iff (X W)) (Y W)))->(forall (Xx:fofType), ((iff (X Xx)) (Y Xx)))) % 0.48/0.66 Found (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(forall (W:fofType), ((iff (X W)) (Y W))))=> x) as proof of (forall (Y:(fofType->Prop)), ((forall (W:fofType), ((iff (X W)) (Y W)))->(forall (Xx:fofType), ((iff (X Xx)) (Y Xx))))) % 0.48/0.66 Found (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(forall (W:fofType), ((iff (X W)) (Y W))))=> x) as proof of (forall (X:(fofType->Prop)) (Y:(fofType->Prop)), ((forall (W:fofType), ((iff (X W)) (Y W)))->(forall (Xx:fofType), ((iff (X Xx)) (Y Xx))))) % 0.48/0.66 Got proof (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(forall (W:fofType), ((iff (X W)) (Y W))))=> x) % 0.48/0.66 Time elapsed = 0.050512s % 0.48/0.66 node=3 cost=9.000000 depth=3 % 0.48/0.66 :::::::::::::::::::::: % 0.48/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.48/0.66 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.48/0.66 (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (x:(forall (W:fofType), ((iff (X W)) (Y W))))=> x) % 0.48/0.66 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------