TSTP Solution File: KRS128+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n010.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 : 300s
% DateTime : Thu Aug 31 05:43:26 EDT 2023
% Result : Unsatisfiable 3.92s 4.08s
% Output : Proof 3.92s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS128+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 01:38:49 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.92/4.08 SZS status Theorem for theBenchmark.p
% 3.92/4.08 SZS output start Proof for theBenchmark.p
% 3.92/4.08 Clause #2 (by assumption #[]): Eq
% 3.92/4.08 (∀ (X : Iota),
% 3.92/4.08 Iff (cUnsatisfiable X)
% 3.92/4.08 (And (And (Exists fun Y => And (rr X Y) (cexcomp Y)) (∀ (Y : Iota), rr X Y → cd Y))
% 3.92/4.08 (∀ (Y : Iota), rr X Y → ca_Cx4 Y)))
% 3.92/4.08 True
% 3.92/4.08 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx4 X) (Exists fun Y0 => ra_Px4 X Y0)) True
% 3.92/4.08 Clause #9 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx4xcomp X) (Not (Exists fun Y => ra_Px4 X Y))) True
% 3.92/4.08 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx4xcomp X) (And (cd X) (cexcomp X))) True
% 3.92/4.08 Clause #11 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_22_31584) True
% 3.92/4.08 Clause #25 (by clausification #[10]): ∀ (a : Iota), Eq (Iff (ca_Cx4xcomp a) (And (cd a) (cexcomp a))) True
% 3.92/4.08 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (ca_Cx4xcomp a) True) (Eq (And (cd a) (cexcomp a)) False)
% 3.92/4.08 Clause #28 (by clausification #[26]): ∀ (a : Iota), Or (Eq (ca_Cx4xcomp a) True) (Or (Eq (cd a) False) (Eq (cexcomp a) False))
% 3.92/4.08 Clause #31 (by betaEtaReduce #[8]): Eq (∀ (X : Iota), Iff (ca_Cx4 X) (Exists (ra_Px4 X))) True
% 3.92/4.08 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (Iff (ca_Cx4 a) (Exists (ra_Px4 a))) True
% 3.92/4.08 Clause #34 (by clausification #[32]): ∀ (a : Iota), Or (Eq (ca_Cx4 a) False) (Eq (Exists (ra_Px4 a)) True)
% 3.92/4.08 Clause #36 (by clausification #[2]): ∀ (a : Iota),
% 3.92/4.08 Eq
% 3.92/4.08 (Iff (cUnsatisfiable a)
% 3.92/4.08 (And (And (Exists fun Y => And (rr a Y) (cexcomp Y)) (∀ (Y : Iota), rr a Y → cd Y))
% 3.92/4.08 (∀ (Y : Iota), rr a Y → ca_Cx4 Y)))
% 3.92/4.08 True
% 3.92/4.08 Clause #38 (by clausification #[36]): ∀ (a : Iota),
% 3.92/4.08 Or (Eq (cUnsatisfiable a) False)
% 3.92/4.08 (Eq
% 3.92/4.08 (And (And (Exists fun Y => And (rr a Y) (cexcomp Y)) (∀ (Y : Iota), rr a Y → cd Y))
% 3.92/4.08 (∀ (Y : Iota), rr a Y → ca_Cx4 Y))
% 3.92/4.08 True)
% 3.92/4.08 Clause #51 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx4 a) False) (Eq (ra_Px4 a (skS.0 2 a a_1)) True)
% 3.92/4.08 Clause #76 (by betaEtaReduce #[9]): Eq (∀ (X : Iota), Iff (ca_Cx4xcomp X) (Not (Exists (ra_Px4 X)))) True
% 3.92/4.08 Clause #77 (by clausification #[76]): ∀ (a : Iota), Eq (Iff (ca_Cx4xcomp a) (Not (Exists (ra_Px4 a)))) True
% 3.92/4.08 Clause #79 (by clausification #[77]): ∀ (a : Iota), Or (Eq (ca_Cx4xcomp a) False) (Eq (Not (Exists (ra_Px4 a))) True)
% 3.92/4.08 Clause #98 (by clausification #[79]): ∀ (a : Iota), Or (Eq (ca_Cx4xcomp a) False) (Eq (Exists (ra_Px4 a)) False)
% 3.92/4.08 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx4xcomp a) False) (Eq (ra_Px4 a a_1) False)
% 3.92/4.08 Clause #102 (by clausification #[38]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rr a Y → ca_Cx4 Y) True)
% 3.92/4.08 Clause #103 (by clausification #[38]): ∀ (a : Iota),
% 3.92/4.08 Or (Eq (cUnsatisfiable a) False)
% 3.92/4.08 (Eq (And (Exists fun Y => And (rr a Y) (cexcomp Y)) (∀ (Y : Iota), rr a Y → cd Y)) True)
% 3.92/4.08 Clause #104 (by clausification #[102]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a a_1 → ca_Cx4 a_1) True)
% 3.92/4.08 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (ca_Cx4 a_1) True))
% 3.92/4.08 Clause #106 (by superposition #[105, 11]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_22_31584 a) False) (Or (Eq (ca_Cx4 a) True) (Eq False True))
% 3.92/4.08 Clause #107 (by clausification #[106]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_22_31584 a) False) (Eq (ca_Cx4 a) True)
% 3.92/4.08 Clause #120 (by clausification #[103]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rr a Y → cd Y) True)
% 3.92/4.08 Clause #121 (by clausification #[103]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cexcomp Y)) True)
% 3.92/4.08 Clause #122 (by clausification #[120]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a a_1 → cd a_1) True)
% 3.92/4.08 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (cd a_1) True))
% 3.92/4.08 Clause #124 (by superposition #[123, 11]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_22_31584 a) False) (Or (Eq (cd a) True) (Eq False True))
% 3.92/4.08 Clause #125 (by clausification #[124]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_22_31584 a) False) (Eq (cd a) True)
% 3.92/4.10 Clause #126 (by clausification #[121]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 8 a a_1)) (cexcomp (skS.0 8 a a_1))) True)
% 3.92/4.10 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cexcomp (skS.0 8 a a_1)) True)
% 3.92/4.10 Clause #128 (by clausification #[126]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 8 a a_1)) True)
% 3.92/4.10 Clause #129 (by superposition #[127, 11]): ∀ (a : Iota), Or (Eq (cexcomp (skS.0 8 i2003_11_14_17_22_31584 a)) True) (Eq False True)
% 3.92/4.10 Clause #130 (by clausification #[129]): ∀ (a : Iota), Eq (cexcomp (skS.0 8 i2003_11_14_17_22_31584 a)) True
% 3.92/4.10 Clause #132 (by superposition #[128, 11]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_22_31584 (skS.0 8 i2003_11_14_17_22_31584 a)) True) (Eq False True)
% 3.92/4.10 Clause #133 (by clausification #[132]): ∀ (a : Iota), Eq (rr i2003_11_14_17_22_31584 (skS.0 8 i2003_11_14_17_22_31584 a)) True
% 3.92/4.10 Clause #134 (by superposition #[133, 107]): ∀ (a : Iota), Or (Eq True False) (Eq (ca_Cx4 (skS.0 8 i2003_11_14_17_22_31584 a)) True)
% 3.92/4.10 Clause #135 (by superposition #[133, 125]): ∀ (a : Iota), Or (Eq True False) (Eq (cd (skS.0 8 i2003_11_14_17_22_31584 a)) True)
% 3.92/4.10 Clause #139 (by clausification #[135]): ∀ (a : Iota), Eq (cd (skS.0 8 i2003_11_14_17_22_31584 a)) True
% 3.92/4.10 Clause #140 (by superposition #[139, 28]): ∀ (a : Iota),
% 3.92/4.10 Or (Eq (ca_Cx4xcomp (skS.0 8 i2003_11_14_17_22_31584 a)) True)
% 3.92/4.10 (Or (Eq True False) (Eq (cexcomp (skS.0 8 i2003_11_14_17_22_31584 a)) False))
% 3.92/4.10 Clause #142 (by clausification #[134]): ∀ (a : Iota), Eq (ca_Cx4 (skS.0 8 i2003_11_14_17_22_31584 a)) True
% 3.92/4.10 Clause #143 (by superposition #[142, 51]): ∀ (a a_1 : Iota),
% 3.92/4.10 Or (Eq True False)
% 3.92/4.10 (Eq (ra_Px4 (skS.0 8 i2003_11_14_17_22_31584 a) (skS.0 2 (skS.0 8 i2003_11_14_17_22_31584 a) a_1)) True)
% 3.92/4.10 Clause #145 (by clausification #[140]): ∀ (a : Iota),
% 3.92/4.10 Or (Eq (ca_Cx4xcomp (skS.0 8 i2003_11_14_17_22_31584 a)) True)
% 3.92/4.10 (Eq (cexcomp (skS.0 8 i2003_11_14_17_22_31584 a)) False)
% 3.92/4.10 Clause #146 (by forward demodulation #[145, 130]): ∀ (a : Iota), Or (Eq (ca_Cx4xcomp (skS.0 8 i2003_11_14_17_22_31584 a)) True) (Eq True False)
% 3.92/4.10 Clause #147 (by clausification #[146]): ∀ (a : Iota), Eq (ca_Cx4xcomp (skS.0 8 i2003_11_14_17_22_31584 a)) True
% 3.92/4.10 Clause #149 (by superposition #[147, 99]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (ra_Px4 (skS.0 8 i2003_11_14_17_22_31584 a) a_1) False)
% 3.92/4.10 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota), Eq (ra_Px4 (skS.0 8 i2003_11_14_17_22_31584 a) a_1) False
% 3.92/4.10 Clause #155 (by clausification #[143]): ∀ (a a_1 : Iota), Eq (ra_Px4 (skS.0 8 i2003_11_14_17_22_31584 a) (skS.0 2 (skS.0 8 i2003_11_14_17_22_31584 a) a_1)) True
% 3.92/4.10 Clause #156 (by superposition #[155, 150]): Eq True False
% 3.92/4.10 Clause #158 (by clausification #[156]): False
% 3.92/4.10 SZS output end Proof for theBenchmark.p
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