TSTP Solution File: ALG173+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG173+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n026.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 : 600s
% DateTime : Thu Jul 14 18:06:09 EDT 2022
% Result : Theorem 240.34s 240.54s
% Output : Proof 240.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG173+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 07:01:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 240.34/240.54 % SZS status Theorem
% 240.34/240.54 (* PROOF-FOUND *)
% 240.34/240.54 (* BEGIN-PROOF *)
% 240.34/240.54 % SZS output start Proof
% 240.34/240.54 1. ((e4) = (op (e3) (op (e3) (e3)))) ((e4) != (op (e3) (op (e3) (e3)))) ### Axiom
% 240.34/240.54 2. ((e3) != (e3)) ### NotEqual
% 240.34/240.54 3. ((e3) != (e4)) ((op (e3) (op (e3) (e3))) = (e3)) ((e4) = (op (e3) (op (e3) (e3)))) ### Trans-sym 1 2
% 240.34/240.54 4. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ((e4) = (op (e3) (op (e3) (e3)))) ((op (e3) (op (e3) (e3))) = (e3)) ### ConjTree 3
% 240.34/240.54 5. (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (op (e3) (e3))))) /\ (((e1) = (op (e3) (op (e3) (op (e3) (e3))))) /\ (((e2) = (op (e3) (e3))) /\ ((e4) = (op (e3) (op (e3) (e3))))))) ((op (e3) (op (e3) (e3))) = (e3)) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ### ConjTree 4
% 240.34/240.54 6. (((((op (e0) (e0)) != (e0)) /\ (((op (e0) (e1)) != (e1)) /\ (((op (e0) (e2)) != (e2)) /\ (((op (e0) (e3)) != (e3)) /\ ((op (e0) (e4)) != (e4)))))) \/ ((((op (e1) (e0)) != (e0)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e2)) != (e2)) /\ (((op (e1) (e3)) != (e3)) /\ ((op (e1) (e4)) != (e4)))))) \/ ((((op (e2) (e0)) != (e0)) /\ (((op (e2) (e1)) != (e1)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e3)) != (e3)) /\ ((op (e2) (e4)) != (e4)))))) \/ ((((op (e3) (e0)) != (e0)) /\ (((op (e3) (e1)) != (e1)) /\ (((op (e3) (e2)) != (e2)) /\ (((op (e3) (e3)) != (e3)) /\ ((op (e3) (e4)) != (e4)))))) \/ (((op (e4) (e0)) != (e0)) /\ (((op (e4) (e1)) != (e1)) /\ (((op (e4) (e2)) != (e2)) /\ (((op (e4) (e3)) != (e3)) /\ ((op (e4) (e4)) != (e4)))))))))) /\ (((op (e0) (op (e0) (e0))) = (e0)) /\ (((op (e0) (op (e0) (e1))) = (e1)) /\ (((op (e0) (op (e0) (e2))) = (e2)) /\ (((op (e0) (op (e0) (e3))) = (e3)) /\ (((op (e0) (op (e0) (e4))) = (e4)) /\ (((op (e1) (op (e1) (e0))) = (e0)) /\ (((op (e1) (op (e1) (e1))) = (e1)) /\ (((op (e1) (op (e1) (e2))) = (e2)) /\ (((op (e1) (op (e1) (e3))) = (e3)) /\ (((op (e1) (op (e1) (e4))) = (e4)) /\ (((op (e2) (op (e2) (e0))) = (e0)) /\ (((op (e2) (op (e2) (e1))) = (e1)) /\ (((op (e2) (op (e2) (e2))) = (e2)) /\ (((op (e2) (op (e2) (e3))) = (e3)) /\ (((op (e2) (op (e2) (e4))) = (e4)) /\ (((op (e3) (op (e3) (e0))) = (e0)) /\ (((op (e3) (op (e3) (e1))) = (e1)) /\ (((op (e3) (op (e3) (e2))) = (e2)) /\ (((op (e3) (op (e3) (e3))) = (e3)) /\ (((op (e3) (op (e3) (e4))) = (e4)) /\ (((op (e4) (op (e4) (e0))) = (e0)) /\ (((op (e4) (op (e4) (e1))) = (e1)) /\ (((op (e4) (op (e4) (e2))) = (e2)) /\ (((op (e4) (op (e4) (e3))) = (e3)) /\ ((op (e4) (op (e4) (e4))) = (e4))))))))))))))))))))))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (op (e3) (e3))))) /\ (((e1) = (op (e3) (op (e3) (op (e3) (e3))))) /\ (((e2) = (op (e3) (e3))) /\ ((e4) = (op (e3) (op (e3) (e3))))))) ### ConjTree 5
% 240.34/240.54 7. (-. (-. (((((op (e0) (e0)) != (e0)) /\ (((op (e0) (e1)) != (e1)) /\ (((op (e0) (e2)) != (e2)) /\ (((op (e0) (e3)) != (e3)) /\ ((op (e0) (e4)) != (e4)))))) \/ ((((op (e1) (e0)) != (e0)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e2)) != (e2)) /\ (((op (e1) (e3)) != (e3)) /\ ((op (e1) (e4)) != (e4)))))) \/ ((((op (e2) (e0)) != (e0)) /\ (((op (e2) (e1)) != (e1)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e3)) != (e3)) /\ ((op (e2) (e4)) != (e4)))))) \/ ((((op (e3) (e0)) != (e0)) /\ (((op (e3) (e1)) != (e1)) /\ (((op (e3) (e2)) != (e2)) /\ (((op (e3) (e3)) != (e3)) /\ ((op (e3) (e4)) != (e4)))))) \/ (((op (e4) (e0)) != (e0)) /\ (((op (e4) (e1)) != (e1)) /\ (((op (e4) (e2)) != (e2)) /\ (((op (e4) (e3)) != (e3)) /\ ((op (e4) (e4)) != (e4)))))))))) /\ (((op (e0) (op (e0) (e0))) = (e0)) /\ (((op (e0) (op (e0) (e1))) = (e1)) /\ (((op (e0) (op (e0) (e2))) = (e2)) /\ (((op (e0) (op (e0) (e3))) = (e3)) /\ (((op (e0) (op (e0) (e4))) = (e4)) /\ (((op (e1) (op (e1) (e0))) = (e0)) /\ (((op (e1) (op (e1) (e1))) = (e1)) /\ (((op (e1) (op (e1) (e2))) = (e2)) /\ (((op (e1) (op (e1) (e3))) = (e3)) /\ (((op (e1) (op (e1) (e4))) = (e4)) /\ (((op (e2) (op (e2) (e0))) = (e0)) /\ (((op (e2) (op (e2) (e1))) = (e1)) /\ (((op (e2) (op (e2) (e2))) = (e2)) /\ (((op (e2) (op (e2) (e3))) = (e3)) /\ (((op (e2) (op (e2) (e4))) = (e4)) /\ (((op (e3) (op (e3) (e0))) = (e0)) /\ (((op (e3) (op (e3) (e1))) = (e1)) /\ (((op (e3) (op (e3) (e2))) = (e2)) /\ (((op (e3) (op (e3) (e3))) = (e3)) /\ (((op (e3) (op (e3) (e4))) = (e4)) /\ (((op (e4) (op (e4) (e0))) = (e0)) /\ (((op (e4) (op (e4) (e1))) = (e1)) /\ (((op (e4) (op (e4) (e2))) = (e2)) /\ (((op (e4) (op (e4) (e3))) = (e3)) /\ ((op (e4) (op (e4) (e4))) = (e4))))))))))))))))))))))))))))) (((e0) = (op (op (e3) (op (e3) (e3))) (op (e3) (op (e3) (e3))))) /\ (((e1) = (op (e3) (op (e3) (op (e3) (e3))))) /\ (((e2) = (op (e3) (e3))) /\ ((e4) = (op (e3) (op (e3) (e3))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ### NotNot 6
% 240.34/240.54 % SZS output end Proof
% 240.34/240.54 (* END-PROOF *)
%------------------------------------------------------------------------------