%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO553^1 : TPTP v7.5.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n005.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 0.81s 0.96s % Output : Proof 0.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYO553^1 : TPTP v7.5.0. Released v5.2.0. % 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n005.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 20:06:27 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 % 0.81/0.96 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.81/0.96 FOF formula ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) of role conjecture named claim % 0.81/0.96 Conjecture to prove = ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))):Prop % 0.81/0.96 Parameter fofType_DUMMY:fofType. % 0.81/0.96 We need to prove ['((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y))))'] % 0.81/0.96 Parameter fofType:Type. % 0.81/0.96 Trying to prove ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) % 0.81/0.96 Found eq_ref00:=(eq_ref0 ((x X) Y)):(((eq fofType) ((x X) Y)) ((x X) Y)) % 0.81/0.96 Found (eq_ref0 ((x X) Y)) as proof of (((eq fofType) ((x X) Y)) Y) % 0.81/0.96 Found ((eq_ref fofType) ((x X) Y)) as proof of (((eq fofType) ((x X) Y)) Y) % 0.81/0.96 Found ((eq_ref fofType) ((x X) Y)) as proof of (((eq fofType) ((x X) Y)) Y) % 0.81/0.96 Found (fun (Y:fofType)=> ((eq_ref fofType) ((x X) Y))) as proof of (((eq fofType) ((x X) Y)) Y) % 0.81/0.96 Found (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) ((x X) Y))) as proof of (forall (Y:fofType), (((eq fofType) ((x X) Y)) Y)) % 0.81/0.96 Found (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) ((x X) Y))) as proof of (forall (X:fofType) (Y:fofType), (((eq fofType) ((x X) Y)) Y)) % 0.81/0.96 Found (ex_intro000 (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) ((x X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) % 0.81/0.96 Found ((ex_intro00 (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) % 0.81/0.96 Found (((ex_intro0 (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) % 0.81/0.96 Found ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) % 0.81/0.96 Found ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) as proof of ((ex (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) % 0.81/0.96 Got proof ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) % 0.81/0.96 Time elapsed = 0.314471s % 0.81/0.96 node=74 cost=64.000000 depth=10 % 0.81/0.96 :::::::::::::::::::::: % 0.81/0.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.81/0.96 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.81/0.96 ((((ex_intro (fofType->(fofType->fofType))) (fun (F:(fofType->(fofType->fofType)))=> (forall (X:fofType) (Y:fofType), (((eq fofType) ((F X) Y)) Y)))) (fun (x3:fofType) (x20:fofType)=> x20)) (fun (X:fofType) (Y:fofType)=> ((eq_ref fofType) (((fun (x3:fofType) (x20:fofType)=> x20) X) Y)))) % 0.81/0.97 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------