%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO234^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n013.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 00:50:58 EDT 2022 % Result : Theorem 0.71s 0.88s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYO234^5 : TPTP v7.5.0. Released v4.0.0. % 0.12/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n013.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % RAMPerCPU : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % DateTime : Fri Mar 11 20:27:52 EST 2022 % 0.12/0.32 % CPUTime : % 0.18/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.18/0.34 Python 2.7.5 % 0.71/0.88 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.71/0.88 FOF formula (<kernel.Constant object at 0x19d7998>, <kernel.Type object at 0x19d70e0>) of role type named d_type % 0.71/0.88 Using role type % 0.71/0.88 Declaring d:Type % 0.71/0.88 FOF formula (<kernel.Constant object at 0x19d8cf8>, <kernel.Type object at 0x19d7050>) of role type named c_type % 0.71/0.88 Using role type % 0.71/0.88 Declaring c:Type % 0.71/0.88 FOF formula (<kernel.Constant object at 0x19d7d88>, <kernel.DependentProduct object at 0x19d7d40>) of role type named cB % 0.71/0.88 Using role type % 0.71/0.88 Declaring cB:(d->(c->Prop)) % 0.71/0.88 FOF formula (<kernel.Constant object at 0x19d7b90>, <kernel.DependentProduct object at 0x19d7950>) of role type named cA % 0.71/0.88 Using role type % 0.71/0.88 Declaring cA:(c->(d->Prop)) % 0.71/0.88 FOF formula ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) of role conjecture named cSV4 % 0.71/0.88 Conjecture to prove = ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))):Prop % 0.71/0.88 Parameter d_DUMMY:d. % 0.71/0.88 Parameter c_DUMMY:c. % 0.71/0.88 We need to prove ['((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx))))))'] % 0.71/0.88 Parameter d:Type. % 0.71/0.88 Parameter c:Type. % 0.71/0.88 Parameter cB:(d->(c->Prop)). % 0.71/0.88 Parameter cA:(c->(d->Prop)). % 0.71/0.88 Trying to prove ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) % 0.71/0.88 Found eq_ref00:=(eq_ref0 x):(((eq (c->(d->Prop))) x) x) % 0.71/0.88 Found (eq_ref0 x) as proof of (((eq (c->(d->Prop))) x) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) % 0.71/0.88 Found ((eq_ref (c->(d->Prop))) x) as proof of (((eq (c->(d->Prop))) x) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) % 0.71/0.88 Found ((eq_ref (c->(d->Prop))) x) as proof of (((eq (c->(d->Prop))) x) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) % 0.71/0.88 Found ((eq_ref (c->(d->Prop))) x) as proof of (((eq (c->(d->Prop))) x) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) % 0.71/0.88 Found (ex_intro000 ((eq_ref (c->(d->Prop))) x)) as proof of ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) % 0.71/0.88 Found ((ex_intro00 (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) ((eq_ref (c->(d->Prop))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx))))) as proof of ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) % 0.71/0.88 Found (((ex_intro0 (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) ((eq_ref (c->(d->Prop))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx))))) as proof of ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) % 0.71/0.88 Found ((((ex_intro (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) ((eq_ref (c->(d->Prop))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx))))) as proof of ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) % 0.71/0.88 Found ((((ex_intro (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) ((eq_ref (c->(d->Prop))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx))))) as proof of ((ex (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) % 0.71/0.88 Got proof ((((ex_intro (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) ((eq_ref (c->(d->Prop))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx))))) % 0.71/0.88 Time elapsed = 0.257299s % 0.71/0.88 node=48 cost=43.000000 depth=8 % 0.71/0.88 :::::::::::::::::::::: % 0.71/0.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.71/0.88 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.71/0.88 ((((ex_intro (c->(d->Prop))) (fun (Xu:(c->(d->Prop)))=> (((eq (c->(d->Prop))) Xu) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx)))) ((eq_ref (c->(d->Prop))) (fun (Xx:c) (Xy:d)=> ((or ((cA Xx) Xy)) ((cB Xy) Xx))))) % 0.71/0.88 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------