%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO076^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n019.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 00:50:36 EDT 2022 % Result : Theorem 0.18s 0.56s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SYO076^5 : TPTP v7.5.0. Released v4.0.0. % 0.11/0.11 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.11/0.32 % Computer : n019.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % RAMPerCPU : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % DateTime : Fri Mar 11 14:23:57 EST 2022 % 0.11/0.32 % CPUTime : % 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.11/0.33 Python 2.7.5 % 0.18/0.56 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.18/0.56 FOF formula (<kernel.Constant object at 0xdc0d88>, <kernel.Sort object at 0x2ac94c020638>) of role type named cQ % 0.18/0.56 Using role type % 0.18/0.56 Declaring cQ:Prop % 0.18/0.56 FOF formula (<kernel.Constant object at 0xdc0e60>, <kernel.Sort object at 0x2ac94c020638>) of role type named cP % 0.18/0.56 Using role type % 0.18/0.56 Declaring cP:Prop % 0.18/0.56 FOF formula (((and cP) (cP->cQ))->cQ) of role conjecture named cTHM114 % 0.18/0.56 Conjecture to prove = (((and cP) (cP->cQ))->cQ):Prop % 0.18/0.56 We need to prove ['(((and cP) (cP->cQ))->cQ)'] % 0.18/0.56 Parameter cQ:Prop. % 0.18/0.56 Parameter cP:Prop. % 0.18/0.56 Trying to prove (((and cP) (cP->cQ))->cQ) % 0.18/0.56 Found x0:cP % 0.18/0.56 Found x0 as proof of cP % 0.18/0.56 Found (x1 x0) as proof of cQ % 0.18/0.56 Found (fun (x1:(cP->cQ))=> (x1 x0)) as proof of cQ % 0.18/0.56 Found (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)) as proof of ((cP->cQ)->cQ) % 0.18/0.56 Found (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)) as proof of (cP->((cP->cQ)->cQ)) % 0.18/0.56 Found (and_rect00 (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))) as proof of cQ % 0.18/0.56 Found ((and_rect0 cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))) as proof of cQ % 0.18/0.56 Found (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0))) as proof of cQ % 0.18/0.56 Found (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)))) as proof of cQ % 0.18/0.56 Found (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)))) as proof of (((and cP) (cP->cQ))->cQ) % 0.18/0.56 Got proof (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)))) % 0.18/0.56 Time elapsed = 0.029662s % 0.18/0.56 node=10 cost=81.000000 depth=9 % 0.18/0.56 :::::::::::::::::::::: % 0.18/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.56 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.56 (fun (x:((and cP) (cP->cQ)))=> (((fun (P:Type) (x0:(cP->((cP->cQ)->P)))=> (((((and_rect cP) (cP->cQ)) P) x0) x)) cQ) (fun (x0:cP) (x1:(cP->cQ))=> (x1 x0)))) % 0.18/0.56 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------