TSTP Solution File: SWV154+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWV154+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n015.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 21:50:11 EDT 2022
% Result : Theorem 2.52s 2.73s
% Output : Proof 2.52s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV154+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n015.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 12:26:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.52/2.73 % SZS status Theorem
% 2.52/2.73 (* PROOF-FOUND *)
% 2.52/2.73 (* BEGIN-PROOF *)
% 2.52/2.73 % SZS output start Proof
% 2.52/2.73 1. ((center) != (center)) ### NotEqual
% 2.52/2.73 2. ((pv12) = T_0) ((pv12) != T_0) ### Axiom
% 2.52/2.73 3. ((n0) != (n0)) ### NotEqual
% 2.52/2.73 4. ((a_select3 (center) (pv12) (n0)) != (a_select3 (center) T_0 (n0))) ((pv12) = T_0) ### NotEqual 1 2 3
% 2.52/2.73 5. ((a_select2 (x) (pv10)) != (a_select2 (x) (pv10))) ### Refl(=)
% 2.52/2.73 6. ((minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) != (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10)))) ((pv12) = T_0) ### NotEqual 4 5
% 2.52/2.73 7. ((times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10)))) != (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))))) ((pv12) = T_0) ### NotEqual 6 6
% 2.52/2.73 8. ((sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) != (sqrt (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10)))))) ((pv12) = T_0) ### NotEqual 7
% 2.52/2.73 9. ((pv70) = (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))) ((pv70) != (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))) ### Axiom
% 2.52/2.73 10. ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) != (divide (sqrt (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))))) (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10)))))))) ((pv70) = (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))) ((pv12) = T_0) ### NotEqual 8 9
% 2.52/2.73 11. (-. (((leq (n0) T_0) /\ (leq T_0 (pv12))) => (((pv12) = T_0) => ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) = (divide (sqrt (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))))) (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))))))) ((pv70) = (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))) ### ConjTree 10
% 2.52/2.73 12. (-. (All C, (((leq (n0) C) /\ (leq C (pv12))) => (((pv12) = C) => ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) = (divide (sqrt (times (minus (a_select3 (center) C (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) C (n0)) (a_select2 (x) (pv10))))) (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10)))))))))))) ((pv70) = (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))) ### NotAllEx 11
% 2.52/2.73 13. (-. ((((pv70) = (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))) /\ ((leq (n0) (pv10)) /\ ((leq (n0) (pv12)) /\ ((leq (pv10) (n135299)) /\ ((leq (pv12) (n4)) /\ ((All A, (((leq (n0) A) /\ (leq A (pred (pv12)))) => ((a_select3 (q) (pv10) A) = (divide (sqrt (times (minus (a_select3 (center) A (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) A (n0)) (a_select2 (x) (pv10))))) (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10)))))))))) /\ (All B, (((leq (n0) B) /\ (leq B (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) B (tptp_sum_index))) = (n1)))))))))) => (All C, (((leq (n0) C) /\ (leq C (pv12))) => (((pv12) = C) => ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) = (divide (sqrt (times (minus (a_select3 (center) C (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) C (n0)) (a_select2 (x) (pv10))))) (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))))))))) ### ConjTree 12
% 2.52/2.73 % SZS output end Proof
% 2.52/2.73 (* END-PROOF *)
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