%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO550^1 : TPTP v7.5.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/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 00:52:05 EDT 2022 % Result : Theorem 0.71s 0.87s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYO550^1 : TPTP v7.5.0. Released v5.2.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n025.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 : Sun Mar 13 19:54:48 EDT 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 % 0.71/0.87 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.71/0.87 FOF formula ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) of role conjecture named claim % 0.71/0.87 Conjecture to prove = ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))):Prop % 0.71/0.87 Parameter fofType_DUMMY:fofType. % 0.71/0.87 We need to prove ['((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X))))'] % 0.71/0.87 Parameter fofType:Type. % 0.71/0.87 Trying to prove ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) % 0.71/0.87 Found eq_ref00:=(eq_ref0 (x X)):(((eq fofType) (x X)) (x X)) % 0.71/0.87 Found (eq_ref0 (x X)) as proof of (((eq fofType) (x X)) X) % 0.71/0.87 Found ((eq_ref fofType) (x X)) as proof of (((eq fofType) (x X)) X) % 0.71/0.87 Found ((eq_ref fofType) (x X)) as proof of (((eq fofType) (x X)) X) % 0.71/0.87 Found (fun (X:fofType)=> ((eq_ref fofType) (x X))) as proof of (((eq fofType) (x X)) X) % 0.71/0.87 Found (fun (X:fofType)=> ((eq_ref fofType) (x X))) as proof of (forall (X:fofType), (((eq fofType) (x X)) X)) % 0.71/0.87 Found (ex_intro000 (fun (X:fofType)=> ((eq_ref fofType) (x X)))) as proof of ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) % 0.71/0.87 Found ((ex_intro00 (fun (x2:fofType)=> x2)) (fun (X:fofType)=> ((eq_ref fofType) ((fun (x2:fofType)=> x2) X)))) as proof of ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) % 0.71/0.87 Found (((ex_intro0 (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) (fun (x2:fofType)=> x2)) (fun (X:fofType)=> ((eq_ref fofType) ((fun (x2:fofType)=> x2) X)))) as proof of ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) % 0.71/0.87 Found ((((ex_intro (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) (fun (x2:fofType)=> x2)) (fun (X:fofType)=> ((eq_ref fofType) ((fun (x2:fofType)=> x2) X)))) as proof of ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) % 0.71/0.87 Found ((((ex_intro (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) (fun (x2:fofType)=> x2)) (fun (X:fofType)=> ((eq_ref fofType) ((fun (x2:fofType)=> x2) X)))) as proof of ((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) % 0.71/0.87 Got proof ((((ex_intro (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) (fun (x2:fofType)=> x2)) (fun (X:fofType)=> ((eq_ref fofType) ((fun (x2:fofType)=> x2) X)))) % 0.71/0.87 Time elapsed = 0.253514s % 0.71/0.87 node=67 cost=53.000000 depth=9 % 0.71/0.87 :::::::::::::::::::::: % 0.71/0.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.71/0.87 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.71/0.87 ((((ex_intro (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), (((eq fofType) (F X)) X)))) (fun (x2:fofType)=> x2)) (fun (X:fofType)=> ((eq_ref fofType) ((fun (x2:fofType)=> x2) X)))) % 0.71/0.87 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------