TSTP Solution File: RNG072+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : RNG072+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n032.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 : Mon Jul 18 20:41:55 EDT 2022
% Result : Theorem 0.12s 0.43s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon May 30 16:42:57 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.43 % SZS status Theorem
% 0.12/0.43 (* PROOF-FOUND *)
% 0.12/0.43 (* BEGIN-PROOF *)
% 0.12/0.43 % SZS output start Proof
% 0.12/0.43 1. (aScalar0 (xR)) (-. (aScalar0 (xR))) ### Axiom
% 0.12/0.43 2. (aScalar0 (xS)) (-. (aScalar0 (xS))) ### Axiom
% 0.12/0.43 3. (-. (aScalar0 (sdtpldt0 (xR) (xS)))) (aScalar0 (xS)) (aScalar0 (xR)) ### Extension/test/mSumScctrp 1 2
% 0.12/0.43 4. (aScalar0 (xP)) (-. (aScalar0 (xP))) ### Axiom
% 0.12/0.43 5. (aScalar0 (xP)) (-. (aScalar0 (xP))) ### Axiom
% 0.12/0.43 6. (-. (aScalar0 (sdtpldt0 (xP) (xP)))) (aScalar0 (xP)) ### Extension/test/mSumScctrp 4 5
% 0.12/0.43 7. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) ### Axiom
% 0.12/0.43 8. (sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) (-. (sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS)))) ### Axiom
% 0.12/0.43 9. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) ### Axiom
% 0.12/0.43 10. (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP)))) ### Axiom
% 0.12/0.43 11. (((aScalar0 (sdtpldt0 (xR) (xS))) /\ ((aScalar0 (sdtpldt0 (xP) (xP))) /\ ((aScalar0 (sdtpldt0 (xR) (xS))) /\ (aScalar0 (sdtpldt0 (xP) (xP)))))) => (((sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) /\ ((sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) /\ (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))))) => (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP)))))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (aScalar0 (xP)) (aScalar0 (xR)) (aScalar0 (xS)) ### DisjTree 3 6 3 6 7 8 9 10
% 0.12/0.43 12. (All W3, (((aScalar0 (sdtpldt0 (xR) (xS))) /\ ((aScalar0 (sdtpldt0 (xP) (xP))) /\ ((aScalar0 (sdtpldt0 (xR) (xS))) /\ (aScalar0 W3)))) => (((sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) /\ ((sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) /\ (sdtlseqdt0 (sdtpldt0 (xR) (xS)) W3))) => (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) W3))))) (aScalar0 (xS)) (aScalar0 (xR)) (aScalar0 (xP)) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) ### All 11
% 0.12/0.43 13. (All W2, (All W3, (((aScalar0 (sdtpldt0 (xR) (xS))) /\ ((aScalar0 (sdtpldt0 (xP) (xP))) /\ ((aScalar0 W2) /\ (aScalar0 W3)))) => (((sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) /\ ((sdtlseqdt0 (sz0z00) W2) /\ (sdtlseqdt0 W2 W3))) => (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) W2) (sdtasdt0 (sdtpldt0 (xP) (xP)) W3)))))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (aScalar0 (xP)) (aScalar0 (xR)) (aScalar0 (xS)) ### All 12
% 0.12/0.43 14. (All W1, (All W2, (All W3, (((aScalar0 (sdtpldt0 (xR) (xS))) /\ ((aScalar0 W1) /\ ((aScalar0 W2) /\ (aScalar0 W3)))) => (((sdtlseqdt0 (sdtpldt0 (xR) (xS)) W1) /\ ((sdtlseqdt0 (sz0z00) W2) /\ (sdtlseqdt0 W2 W3))) => (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) W2) (sdtasdt0 W1 W3))))))) (aScalar0 (xS)) (aScalar0 (xR)) (aScalar0 (xP)) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) ### All 13
% 0.12/0.43 15. (All W0, (All W1, (All W2, (All W3, (((aScalar0 W0) /\ ((aScalar0 W1) /\ ((aScalar0 W2) /\ (aScalar0 W3)))) => (((sdtlseqdt0 W0 W1) /\ ((sdtlseqdt0 (sz0z00) W2) /\ (sdtlseqdt0 W2 W3))) => (sdtlseqdt0 (sdtasdt0 W0 W2) (sdtasdt0 W1 W3)))))))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (aScalar0 (xP)) (aScalar0 (xR)) (aScalar0 (xS)) ### All 14
% 0.12/0.43 16. ((sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) /\ (sdtlseqdt0 (sz0z00) (sdtpldt0 (xP) (xP)))) (aScalar0 (xS)) (aScalar0 (xR)) (aScalar0 (xP)) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (All W0, (All W1, (All W2, (All W3, (((aScalar0 W0) /\ ((aScalar0 W1) /\ ((aScalar0 W2) /\ (aScalar0 W3)))) => (((sdtlseqdt0 W0 W1) /\ ((sdtlseqdt0 (sz0z00) W2) /\ (sdtlseqdt0 W2 W3))) => (sdtlseqdt0 (sdtasdt0 W0 W2) (sdtasdt0 W1 W3)))))))) ### And 15
% 0.12/0.43 17. ((aScalar0 (xS)) /\ ((xS) = (sdtasdt0 (xF) (xD)))) (All W0, (All W1, (All W2, (All W3, (((aScalar0 W0) /\ ((aScalar0 W1) /\ ((aScalar0 W2) /\ (aScalar0 W3)))) => (((sdtlseqdt0 W0 W1) /\ ((sdtlseqdt0 (sz0z00) W2) /\ (sdtlseqdt0 W2 W3))) => (sdtlseqdt0 (sdtasdt0 W0 W2) (sdtasdt0 W1 W3)))))))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (aScalar0 (xP)) (aScalar0 (xR)) ((sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) /\ (sdtlseqdt0 (sz0z00) (sdtpldt0 (xP) (xP)))) ### And 16
% 0.12/0.43 18. ((aScalar0 (xP)) /\ ((xP) = (sdtasdt0 (xE) (xH)))) ((sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) /\ (sdtlseqdt0 (sz0z00) (sdtpldt0 (xP) (xP)))) (aScalar0 (xR)) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (All W0, (All W1, (All W2, (All W3, (((aScalar0 W0) /\ ((aScalar0 W1) /\ ((aScalar0 W2) /\ (aScalar0 W3)))) => (((sdtlseqdt0 W0 W1) /\ ((sdtlseqdt0 (sz0z00) W2) /\ (sdtlseqdt0 W2 W3))) => (sdtlseqdt0 (sdtasdt0 W0 W2) (sdtasdt0 W1 W3)))))))) ((aScalar0 (xS)) /\ ((xS) = (sdtasdt0 (xF) (xD)))) ### And 17
% 0.12/0.43 19. ((aScalar0 (xR)) /\ ((xR) = (sdtasdt0 (xC) (xG)))) ((aScalar0 (xS)) /\ ((xS) = (sdtasdt0 (xF) (xD)))) (All W0, (All W1, (All W2, (All W3, (((aScalar0 W0) /\ ((aScalar0 W1) /\ ((aScalar0 W2) /\ (aScalar0 W3)))) => (((sdtlseqdt0 W0 W1) /\ ((sdtlseqdt0 (sz0z00) W2) /\ (sdtlseqdt0 W2 W3))) => (sdtlseqdt0 (sdtasdt0 W0 W2) (sdtasdt0 W1 W3)))))))) (-. (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP))))) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) ((sdtlseqdt0 (sz0z00) (sdtpldt0 (xR) (xS))) /\ (sdtlseqdt0 (sz0z00) (sdtpldt0 (xP) (xP)))) ((aScalar0 (xP)) /\ ((xP) = (sdtasdt0 (xE) (xH)))) ### And 18
% 0.12/0.43 % SZS output end Proof
% 0.12/0.43 (* END-PROOF *)
%------------------------------------------------------------------------------