TSTP Solution File: SYN066+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n024.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 21 12:40:48 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 09:10:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 (* PROOF-FOUND *)
% 0.13/0.40 (* BEGIN-PROOF *)
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 1. (big_q T_0 T_1) (-. (big_q T_0 T_1)) ### Axiom
% 0.13/0.40 2. (-. (Ex Y, (big_q T_0 Y))) (big_q T_0 T_1) ### NotExists 1
% 0.13/0.40 3. (-. (Ex X, (Ex Y, (big_q X Y)))) (big_q T_0 T_1) ### NotExists 2
% 0.13/0.40 4. (-. (big_p T_2 T_1)) (-. (Ex X, (Ex Y, (big_q X Y)))) ### Extension/test/pel37_2 3
% 0.13/0.40 5. (Ex U, (big_q U T_1)) (-. (Ex X, (Ex Y, (big_q X Y)))) ### Exists 3
% 0.13/0.40 6. ((big_p T_2 T_1) => (Ex U, (big_q U T_1))) (-. (Ex X, (Ex Y, (big_q X Y)))) ### Imply 4 5
% 0.13/0.40 7. (((big_p zenon_X3 zenon_X4) => (big_p T_2 T_1)) /\ ((big_p T_2 zenon_X4) /\ ((big_p T_2 T_1) => (Ex U, (big_q U T_1))))) (-. (Ex X, (Ex Y, (big_q X Y)))) ### ConjTree 6
% 0.13/0.40 8. (Ex Y, (((big_p zenon_X3 zenon_X4) => (big_p Y T_1)) /\ ((big_p Y zenon_X4) /\ ((big_p Y T_1) => (Ex U, (big_q U T_1)))))) (-. (Ex X, (Ex Y, (big_q X Y)))) ### Exists 7
% 0.13/0.40 9. (All X, (Ex Y, (((big_p X zenon_X4) => (big_p Y T_1)) /\ ((big_p Y zenon_X4) /\ ((big_p Y T_1) => (Ex U, (big_q U T_1))))))) (-. (Ex X, (Ex Y, (big_q X Y)))) ### All 8
% 0.13/0.40 10. (Ex W, (All X, (Ex Y, (((big_p X zenon_X4) => (big_p Y W)) /\ ((big_p Y zenon_X4) /\ ((big_p Y W) => (Ex U, (big_q U W)))))))) (-. (Ex X, (Ex Y, (big_q X Y)))) ### Exists 9
% 0.13/0.40 11. (All Z, (Ex W, (All X, (Ex Y, (((big_p X Z) => (big_p Y W)) /\ ((big_p Y Z) /\ ((big_p Y W) => (Ex U, (big_q U W))))))))) (-. (Ex X, (Ex Y, (big_q X Y)))) ### All 10
% 0.13/0.40 12. (big_r T_5 T_5) (-. (big_r T_5 T_5)) ### Axiom
% 0.13/0.40 13. (-. (Ex Y, (big_r T_5 Y))) (big_r T_5 T_5) ### NotExists 12
% 0.13/0.40 14. (All Z, (big_r Z Z)) (-. (Ex Y, (big_r T_5 Y))) ### All 13
% 0.13/0.40 15. ((Ex X, (Ex Y, (big_q X Y))) => (All Z, (big_r Z Z))) (-. (Ex Y, (big_r T_5 Y))) (All Z, (Ex W, (All X, (Ex Y, (((big_p X Z) => (big_p Y W)) /\ ((big_p Y Z) /\ ((big_p Y W) => (Ex U, (big_q U W))))))))) ### Imply 11 14
% 0.13/0.40 16. (-. (All X, (Ex Y, (big_r X Y)))) (All Z, (Ex W, (All X, (Ex Y, (((big_p X Z) => (big_p Y W)) /\ ((big_p Y Z) /\ ((big_p Y W) => (Ex U, (big_q U W))))))))) ((Ex X, (Ex Y, (big_q X Y))) => (All Z, (big_r Z Z))) ### NotAllEx 15
% 0.13/0.40 % SZS output end Proof
% 0.13/0.40 (* END-PROOF *)
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