%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO204^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n006.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 00:50:54 EDT 2022 % Result : Theorem 0.48s 0.65s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SYO204^5 : TPTP v7.5.0. Released v4.0.0. % 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.32 % Computer : n006.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 % 0.11/0.33 % DateTime : Fri Mar 11 18:11:44 EST 2022 % 0.11/0.33 % CPUTime : % 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.11/0.34 Python 2.7.5 % 0.48/0.65 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.48/0.65 FOF formula ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) of role conjecture named cCT313 % 0.48/0.65 Conjecture to prove = ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))):Prop % 0.48/0.65 We need to prove ['((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy))))))'] % 0.48/0.65 Trying to prove ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) % 0.48/0.65 Found False:Prop % 0.48/0.65 Found False as proof of Prop % 0.48/0.65 Found x00:=(x0 Xy):Xy % 0.48/0.65 Found (x0 Xy) as proof of Xy % 0.48/0.65 Found (x0 Xy) as proof of Xy % 0.48/0.65 Found (fun (x0:x)=> (x0 Xy)) as proof of Xy % 0.48/0.65 Found (fun (Xy:Prop) (x0:x)=> (x0 Xy)) as proof of (x->Xy) % 0.48/0.65 Found (fun (Xy:Prop) (x0:x)=> (x0 Xy)) as proof of (forall (Xy:Prop), (x->Xy)) % 0.48/0.65 Found (ex_intro010 (fun (Xy:Prop) (x0:x)=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) % 0.48/0.65 Found ((ex_intro01 (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) % 0.48/0.65 Found (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) % 0.48/0.65 Found (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy))) as proof of ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) % 0.48/0.65 Found ((ex_intro00 False) (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) % 0.48/0.65 Found (((ex_intro0 (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) (((ex_intro0 (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) % 0.48/0.65 Found ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) % 0.48/0.65 Found ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) as proof of ((ex Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) % 0.48/0.65 Got proof ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) % 0.48/0.65 Time elapsed = 0.044017s % 0.48/0.65 node=13 cost=250.000000 depth=12 % 0.48/0.65 :::::::::::::::::::::: % 0.48/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.65 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.65 ((((ex_intro Prop) (fun (Xz:Prop)=> ((ex Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))))) False) ((((ex_intro Prop) (fun (Xx:Prop)=> (forall (Xy:Prop), (Xx->Xy)))) (forall (Xy:Prop), Xy)) (fun (Xy:Prop) (x0:(forall (Xy:Prop), Xy))=> (x0 Xy)))) % 0.48/0.65 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------