TSTP Solution File: SWV412+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n025.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 : Wed Jul 20 21:51:16 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 21:26:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 (* PROOF-FOUND *)
% 0.19/0.42 (* BEGIN-PROOF *)
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 1. (pair_in_list T_0 T_1 T_2) (-. (pair_in_list T_0 T_1 T_2)) ### Axiom
% 0.19/0.42 2. (strictly_less_than T_2 T_3) (-. (strictly_less_than T_2 T_3)) ### Axiom
% 0.19/0.42 3. (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (pair_in_list (update_slb T_0 T_3) T_1 T_3) ### Axiom
% 0.19/0.42 4. (((pair_in_list T_0 T_1 T_2) /\ (strictly_less_than T_2 T_3)) => (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (strictly_less_than T_2 T_3) (pair_in_list T_0 T_1 T_2) ### DisjTree 1 2 3
% 0.19/0.42 5. (All X, (((pair_in_list T_0 T_1 T_2) /\ (strictly_less_than T_2 X)) => (pair_in_list (update_slb T_0 X) T_1 X))) (pair_in_list T_0 T_1 T_2) (strictly_less_than T_2 T_3) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) ### All 4
% 0.19/0.42 6. (All W, (All X, (((pair_in_list T_0 T_1 W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb T_0 X) T_1 X)))) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (strictly_less_than T_2 T_3) (pair_in_list T_0 T_1 T_2) ### All 5
% 0.19/0.42 7. (All V, (All W, (All X, (((pair_in_list T_0 V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb T_0 X) V X))))) (pair_in_list T_0 T_1 T_2) (strictly_less_than T_2 T_3) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) ### All 6
% 0.19/0.42 8. (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) (-. (pair_in_list (update_slb T_0 T_3) T_1 T_3)) (strictly_less_than T_2 T_3) (pair_in_list T_0 T_1 T_2) ### All 7
% 0.19/0.42 9. (-. (((pair_in_list T_0 T_1 T_2) /\ ((strictly_less_than T_1 T_3) /\ (strictly_less_than T_2 T_3))) => (pair_in_list (update_slb T_0 T_3) T_1 T_3))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### ConjTree 8
% 0.19/0.42 10. (-. (All X, (((pair_in_list T_0 T_1 T_2) /\ ((strictly_less_than T_1 X) /\ (strictly_less_than T_2 X))) => (pair_in_list (update_slb T_0 X) T_1 X)))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 9
% 0.19/0.42 11. (-. (All W, (All X, (((pair_in_list T_0 T_1 W) /\ ((strictly_less_than T_1 X) /\ (strictly_less_than W X))) => (pair_in_list (update_slb T_0 X) T_1 X))))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 10
% 0.19/0.42 12. (-. (All V, (All W, (All X, (((pair_in_list T_0 V W) /\ ((strictly_less_than V X) /\ (strictly_less_than W X))) => (pair_in_list (update_slb T_0 X) V X)))))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 11
% 0.19/0.42 13. (-. (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ ((strictly_less_than V X) /\ (strictly_less_than W X))) => (pair_in_list (update_slb U X) V X))))))) (All U, (All V, (All W, (All X, (((pair_in_list U V W) /\ (strictly_less_than W X)) => (pair_in_list (update_slb U X) V X)))))) ### NotAllEx 12
% 0.19/0.42 % SZS output end Proof
% 0.19/0.42 (* END-PROOF *)
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