TSTP Solution File: SYN359+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n027.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 12:42:58 EDT 2022
% Result : Theorem 0.13s 0.41s
% 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
% 0.12/0.13 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 15:32:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 (* PROOF-FOUND *)
% 0.13/0.41 (* BEGIN-PROOF *)
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 1. (big_r T_0) (-. (big_r T_0)) ### Axiom
% 0.13/0.41 2. (big_q T_0 T_1) (-. (big_q T_0 T_1)) ### Axiom
% 0.13/0.41 3. (big_q T_0 T_0) (-. (big_q T_0 T_0)) ### Axiom
% 0.13/0.41 4. (big_r T_0) (-. (big_r T_0)) ### Axiom
% 0.13/0.41 5. (-. ((big_q T_0 T_0) /\ (big_r T_0))) (big_r T_0) (big_q T_0 T_0) ### NotAnd 3 4
% 0.13/0.41 6. (-. (Ex Y, ((big_q T_0 Y) /\ (big_r Y)))) (big_q T_0 T_0) (big_r T_0) ### NotExists 5
% 0.13/0.41 7. (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (big_r T_0) (big_q T_0 T_0) ### NotExists 6
% 0.13/0.41 8. ((big_q T_0 T_1) => (big_q T_0 T_0)) (big_r T_0) (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (big_q T_0 T_1) ### Imply 2 7
% 0.13/0.41 9. (All Y, ((big_q T_0 Y) => (big_q T_0 T_0))) (big_q T_0 T_1) (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (big_r T_0) ### All 8
% 0.13/0.41 10. (All X, (All Y, ((big_q X Y) => (big_q X X)))) (big_r T_0) (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (big_q T_0 T_1) ### All 9
% 0.13/0.41 11. (Ex Z, (big_q T_0 Z)) (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (big_r T_0) (All X, (All Y, ((big_q X Y) => (big_q X X)))) ### Exists 10
% 0.13/0.41 12. ((big_r T_0) => (Ex Z, (big_q T_0 Z))) (All X, (All Y, ((big_q X Y) => (big_q X X)))) (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (big_r T_0) ### Imply 1 11
% 0.13/0.41 13. (All Y, ((big_r Y) => (Ex Z, (big_q Y Z)))) (big_r T_0) (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (All X, (All Y, ((big_q X Y) => (big_q X X)))) ### All 12
% 0.13/0.41 14. (Ex X, (big_r X)) (All X, (All Y, ((big_q X Y) => (big_q X X)))) (-. (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y))))) (All Y, ((big_r Y) => (Ex Z, (big_q Y Z)))) ### Exists 13
% 0.13/0.41 15. (-. (((Ex X, (big_r X)) /\ ((All Y, ((big_r Y) => (Ex Z, (big_q Y Z)))) /\ (All X, (All Y, ((big_q X Y) => (big_q X X)))))) => (Ex X, (Ex Y, ((big_q X Y) /\ (big_r Y)))))) ### ConjTree 14
% 0.13/0.41 % SZS output end Proof
% 0.13/0.41 (* END-PROOF *)
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