TSTP Solution File: RNG070+2 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : RNG070+2 : 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 : n022.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 7.72s 7.88s
% Output : Proof 7.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG070+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n022.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 : Mon May 30 08:29:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.72/7.88 % SZS status Theorem
% 7.72/7.88 (* PROOF-FOUND *)
% 7.72/7.88 (* BEGIN-PROOF *)
% 7.72/7.88 % SZS output start Proof
% 7.72/7.88 1. (aScalar0 (xP)) (-. (aScalar0 (xP))) ### Axiom
% 7.72/7.88 2. (aScalar0 (xP)) (-. (aScalar0 (xP))) ### Axiom
% 7.72/7.88 3. (-. (aScalar0 (sdtpldt0 (xP) (xP)))) (aScalar0 (sdtpldt0 (xP) (xP))) ### Axiom
% 7.72/7.88 4. (((aScalar0 (xP)) /\ (aScalar0 (xP))) => (aScalar0 (sdtpldt0 (xP) (xP)))) (-. (aScalar0 (sdtpldt0 (xP) (xP)))) (aScalar0 (xP)) ### DisjTree 1 2 3
% 7.72/7.88 5. (All W1, (((aScalar0 (xP)) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 (xP) W1)))) (aScalar0 (xP)) (-. (aScalar0 (sdtpldt0 (xP) (xP)))) ### All 4
% 7.72/7.88 6. (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) (-. (aScalar0 (sdtpldt0 (xP) (xP)))) (aScalar0 (xP)) ### All 5
% 7.72/7.88 7. (aScalar0 (xR)) (-. (aScalar0 (xR))) ### Axiom
% 7.72/7.88 8. (aScalar0 (xS)) (-. (aScalar0 (xS))) ### Axiom
% 7.72/7.88 9. (-. (aScalar0 (sdtpldt0 (xR) (xS)))) (aScalar0 (sdtpldt0 (xR) (xS))) ### Axiom
% 7.72/7.88 10. (((aScalar0 (xR)) /\ (aScalar0 (xS))) => (aScalar0 (sdtpldt0 (xR) (xS)))) (-. (aScalar0 (sdtpldt0 (xR) (xS)))) (aScalar0 (xS)) (aScalar0 (xR)) ### DisjTree 7 8 9
% 7.72/7.88 11. (All W1, (((aScalar0 (xR)) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 (xR) W1)))) (aScalar0 (xR)) (aScalar0 (xS)) (-. (aScalar0 (sdtpldt0 (xR) (xS)))) ### All 10
% 7.72/7.88 12. (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) (-. (aScalar0 (sdtpldt0 (xR) (xS)))) (aScalar0 (xS)) (aScalar0 (xR)) ### All 11
% 7.72/7.88 13. (-. (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS)))) (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS))) ### Axiom
% 7.72/7.88 14. (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))) ### Axiom
% 7.72/7.88 15. (((aScalar0 (sdtpldt0 (xP) (xP))) /\ (aScalar0 (sdtpldt0 (xR) (xS)))) => ((sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS))) \/ (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) (-. (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS)))) (aScalar0 (xR)) (aScalar0 (xS)) (aScalar0 (xP)) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) ### DisjTree 6 12 13 14
% 7.72/7.88 16. (All W1, (((aScalar0 (sdtpldt0 (xP) (xP))) /\ (aScalar0 W1)) => ((sdtlseqdt0 (sdtpldt0 (xP) (xP)) W1) \/ (sdtlseqdt0 W1 (sdtpldt0 (xP) (xP)))))) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) (aScalar0 (xP)) (aScalar0 (xS)) (aScalar0 (xR)) (-. (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS)))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) ### All 15
% 7.72/7.88 17. (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => ((sdtlseqdt0 W0 W1) \/ (sdtlseqdt0 W1 W0))))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) (-. (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS)))) (aScalar0 (xR)) (aScalar0 (xS)) (aScalar0 (xP)) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) ### All 16
% 7.72/7.88 18. ((aScalar0 (xR)) /\ ((xR) = (sdtasdt0 (xC) (xG)))) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) (aScalar0 (xP)) (aScalar0 (xS)) (-. (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS)))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => ((sdtlseqdt0 W0 W1) \/ (sdtlseqdt0 W1 W0))))) ### And 17
% 7.72/7.88 19. ((aScalar0 (xP)) /\ ((xP) = (sdtasdt0 (xE) (xH)))) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => ((sdtlseqdt0 W0 W1) \/ (sdtlseqdt0 W1 W0))))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) (-. (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS)))) (aScalar0 (xS)) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) ((aScalar0 (xR)) /\ ((xR) = (sdtasdt0 (xC) (xG)))) ### And 18
% 7.72/7.88 20. ((aScalar0 (xS)) /\ ((xS) = (sdtasdt0 (xF) (xD)))) ((aScalar0 (xR)) /\ ((xR) = (sdtasdt0 (xC) (xG)))) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => (aScalar0 (sdtpldt0 W0 W1))))) (-. (sdtlseqdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xR) (xS)))) (-. (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP)))) (All W0, (All W1, (((aScalar0 W0) /\ (aScalar0 W1)) => ((sdtlseqdt0 W0 W1) \/ (sdtlseqdt0 W1 W0))))) ((aScalar0 (xP)) /\ ((xP) = (sdtasdt0 (xE) (xH)))) ### And 19
% 7.72/7.88 % SZS output end Proof
% 7.72/7.88 (* END-PROOF *)
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