TSTP Solution File: KRS104+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 05:43:20 EDT 2023
% Result : Unsatisfiable 3.94s 4.26s
% Output : Proof 4.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 01:55:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.94/4.26 SZS status Theorem for theBenchmark.p
% 3.94/4.26 SZS output start Proof for theBenchmark.p
% 3.94/4.26 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (Not (Exists fun Y => ra_Px5 X Y))) True
% 3.94/4.26 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiablexcomp X) (And (And (ca_Cx7 X) (ca_Cx8 X)) (ca_Cx6 X))) True
% 3.94/4.26 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiablexcomp X) (Exists fun Y0 => ra_Px5 X Y0)) True
% 3.94/4.26 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), ca X → ca_Cx1 X) True
% 3.94/4.26 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), Iff (cb X) (Exists fun Y0 => ra_Px3 X Y0)) True
% 3.94/4.26 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), cb X → ccxcomp X) True
% 3.94/4.26 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (cbxcomp X) (Not (Exists fun Y => ra_Px3 X Y))) True
% 3.94/4.26 Clause #9 (by assumption #[]): Eq (∀ (X : Iota), Iff (cc X) (Exists fun Y0 => ra_Px2 X Y0)) True
% 3.94/4.26 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), Iff (ccxcomp X) (Not (Exists fun Y => ra_Px2 X Y))) True
% 3.94/4.26 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx1 X) (And (cbxcomp X) (ccxcomp X))) True
% 3.94/4.26 Clause #14 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx6 X) (Not (Exists fun Y => ra_Px6 X Y))) True
% 3.94/4.26 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx6xcomp X) (And (ca X) (cb X))) True
% 3.94/4.26 Clause #16 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx6xcomp X) (Exists fun Y0 => ra_Px6 X Y0)) True
% 3.94/4.26 Clause #17 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx7 X) (Exists fun Y0 => ra_Px7 X Y0)) True
% 3.94/4.26 Clause #18 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx7xcomp X) (And (cc X) (ca X))) True
% 3.94/4.26 Clause #19 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx7xcomp X) (Not (Exists fun Y => ra_Px7 X Y))) True
% 3.94/4.26 Clause #20 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx8 X) (Not (Exists fun Y => ra_Px8 X Y))) True
% 3.94/4.26 Clause #21 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx8xcomp X) (Exists fun Y0 => ra_Px8 X Y0)) True
% 3.94/4.26 Clause #22 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Cx8xcomp X) (And (cc X) (cb X))) True
% 3.94/4.26 Clause #23 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_50869) True
% 3.94/4.26 Clause #24 (by clausification #[7]): ∀ (a : Iota), Eq (cb a → ccxcomp a) True
% 3.94/4.26 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (cb a) False) (Eq (ccxcomp a) True)
% 3.94/4.26 Clause #26 (by clausification #[5]): ∀ (a : Iota), Eq (ca a → ca_Cx1 a) True
% 3.94/4.26 Clause #27 (by clausification #[26]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (ca_Cx1 a) True)
% 3.94/4.26 Clause #39 (by clausification #[15]): ∀ (a : Iota), Eq (Iff (ca_Cx6xcomp a) (And (ca a) (cb a))) True
% 3.94/4.26 Clause #41 (by clausification #[39]): ∀ (a : Iota), Or (Eq (ca_Cx6xcomp a) False) (Eq (And (ca a) (cb a)) True)
% 3.94/4.26 Clause #43 (by clausification #[41]): ∀ (a : Iota), Or (Eq (ca_Cx6xcomp a) False) (Eq (cb a) True)
% 3.94/4.26 Clause #44 (by clausification #[41]): ∀ (a : Iota), Or (Eq (ca_Cx6xcomp a) False) (Eq (ca a) True)
% 3.94/4.26 Clause #45 (by betaEtaReduce #[2]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (Not (Exists (ra_Px5 X)))) True
% 3.94/4.26 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (Not (Exists (ra_Px5 a)))) True
% 3.94/4.26 Clause #48 (by clausification #[46]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Not (Exists (ra_Px5 a))) True)
% 3.94/4.26 Clause #51 (by clausification #[48]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists (ra_Px5 a)) False)
% 3.94/4.26 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (ra_Px5 a a_1) False)
% 3.94/4.26 Clause #53 (by superposition #[52, 23]): ∀ (a : Iota), Or (Eq (ra_Px5 i2003_11_14_17_20_50869 a) False) (Eq False True)
% 3.94/4.26 Clause #54 (by clausification #[53]): ∀ (a : Iota), Eq (ra_Px5 i2003_11_14_17_20_50869 a) False
% 3.94/4.26 Clause #56 (by clausification #[18]): ∀ (a : Iota), Eq (Iff (ca_Cx7xcomp a) (And (cc a) (ca a))) True
% 3.94/4.26 Clause #58 (by clausification #[56]): ∀ (a : Iota), Or (Eq (ca_Cx7xcomp a) False) (Eq (And (cc a) (ca a)) True)
% 3.94/4.26 Clause #60 (by clausification #[58]): ∀ (a : Iota), Or (Eq (ca_Cx7xcomp a) False) (Eq (ca a) True)
% 3.94/4.26 Clause #61 (by clausification #[58]): ∀ (a : Iota), Or (Eq (ca_Cx7xcomp a) False) (Eq (cc a) True)
% 3.94/4.28 Clause #62 (by clausification #[3]): ∀ (a : Iota), Eq (Iff (cUnsatisfiablexcomp a) (And (And (ca_Cx7 a) (ca_Cx8 a)) (ca_Cx6 a))) True
% 3.94/4.28 Clause #63 (by clausification #[62]): ∀ (a : Iota), Or (Eq (cUnsatisfiablexcomp a) True) (Eq (And (And (ca_Cx7 a) (ca_Cx8 a)) (ca_Cx6 a)) False)
% 3.94/4.28 Clause #65 (by clausification #[63]): ∀ (a : Iota), Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (And (ca_Cx7 a) (ca_Cx8 a)) False) (Eq (ca_Cx6 a) False))
% 3.94/4.28 Clause #66 (by clausification #[65]): ∀ (a : Iota),
% 3.94/4.28 Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (ca_Cx6 a) False) (Or (Eq (ca_Cx7 a) False) (Eq (ca_Cx8 a) False)))
% 3.94/4.28 Clause #67 (by clausification #[11]): ∀ (a : Iota), Eq (Iff (ca_Cx1 a) (And (cbxcomp a) (ccxcomp a))) True
% 3.94/4.28 Clause #69 (by clausification #[67]): ∀ (a : Iota), Or (Eq (ca_Cx1 a) False) (Eq (And (cbxcomp a) (ccxcomp a)) True)
% 3.94/4.28 Clause #71 (by clausification #[69]): ∀ (a : Iota), Or (Eq (ca_Cx1 a) False) (Eq (ccxcomp a) True)
% 3.94/4.28 Clause #72 (by clausification #[69]): ∀ (a : Iota), Or (Eq (ca_Cx1 a) False) (Eq (cbxcomp a) True)
% 3.94/4.28 Clause #73 (by clausification #[22]): ∀ (a : Iota), Eq (Iff (ca_Cx8xcomp a) (And (cc a) (cb a))) True
% 3.94/4.28 Clause #75 (by clausification #[73]): ∀ (a : Iota), Or (Eq (ca_Cx8xcomp a) False) (Eq (And (cc a) (cb a)) True)
% 3.94/4.28 Clause #77 (by betaEtaReduce #[4]): Eq (∀ (X : Iota), Iff (cUnsatisfiablexcomp X) (Exists (ra_Px5 X))) True
% 3.94/4.28 Clause #78 (by clausification #[77]): ∀ (a : Iota), Eq (Iff (cUnsatisfiablexcomp a) (Exists (ra_Px5 a))) True
% 3.94/4.28 Clause #80 (by clausification #[78]): ∀ (a : Iota), Or (Eq (cUnsatisfiablexcomp a) False) (Eq (Exists (ra_Px5 a)) True)
% 3.94/4.28 Clause #84 (by clausification #[80]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiablexcomp a) False) (Eq (ra_Px5 a (skS.0 1 a a_1)) True)
% 3.94/4.28 Clause #86 (by clausification #[75]): ∀ (a : Iota), Or (Eq (ca_Cx8xcomp a) False) (Eq (cb a) True)
% 3.94/4.28 Clause #87 (by clausification #[75]): ∀ (a : Iota), Or (Eq (ca_Cx8xcomp a) False) (Eq (cc a) True)
% 3.94/4.28 Clause #88 (by betaEtaReduce #[6]): Eq (∀ (X : Iota), Iff (cb X) (Exists (ra_Px3 X))) True
% 3.94/4.28 Clause #89 (by clausification #[88]): ∀ (a : Iota), Eq (Iff (cb a) (Exists (ra_Px3 a))) True
% 3.94/4.28 Clause #91 (by clausification #[89]): ∀ (a : Iota), Or (Eq (cb a) False) (Eq (Exists (ra_Px3 a)) True)
% 3.94/4.28 Clause #93 (by betaEtaReduce #[8]): Eq (∀ (X : Iota), Iff (cbxcomp X) (Not (Exists (ra_Px3 X)))) True
% 3.94/4.28 Clause #94 (by clausification #[93]): ∀ (a : Iota), Eq (Iff (cbxcomp a) (Not (Exists (ra_Px3 a)))) True
% 3.94/4.28 Clause #96 (by clausification #[94]): ∀ (a : Iota), Or (Eq (cbxcomp a) False) (Eq (Not (Exists (ra_Px3 a))) True)
% 3.94/4.28 Clause #102 (by clausification #[91]): ∀ (a a_1 : Iota), Or (Eq (cb a) False) (Eq (ra_Px3 a (skS.0 3 a a_1)) True)
% 3.94/4.28 Clause #103 (by clausification #[96]): ∀ (a : Iota), Or (Eq (cbxcomp a) False) (Eq (Exists (ra_Px3 a)) False)
% 3.94/4.28 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), Or (Eq (cbxcomp a) False) (Eq (ra_Px3 a a_1) False)
% 3.94/4.28 Clause #108 (by betaEtaReduce #[9]): Eq (∀ (X : Iota), Iff (cc X) (Exists (ra_Px2 X))) True
% 3.94/4.28 Clause #109 (by clausification #[108]): ∀ (a : Iota), Eq (Iff (cc a) (Exists (ra_Px2 a))) True
% 3.94/4.28 Clause #111 (by clausification #[109]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Exists (ra_Px2 a)) True)
% 3.94/4.28 Clause #113 (by clausification #[111]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Eq (ra_Px2 a (skS.0 4 a a_1)) True)
% 3.94/4.28 Clause #120 (by betaEtaReduce #[17]): Eq (∀ (X : Iota), Iff (ca_Cx7 X) (Exists (ra_Px7 X))) True
% 3.94/4.28 Clause #121 (by clausification #[120]): ∀ (a : Iota), Eq (Iff (ca_Cx7 a) (Exists (ra_Px7 a))) True
% 3.94/4.28 Clause #122 (by clausification #[121]): ∀ (a : Iota), Or (Eq (ca_Cx7 a) True) (Eq (Exists (ra_Px7 a)) False)
% 3.94/4.28 Clause #124 (by clausification #[122]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx7 a) True) (Eq (ra_Px7 a a_1) False)
% 3.94/4.28 Clause #126 (by betaEtaReduce #[10]): Eq (∀ (X : Iota), Iff (ccxcomp X) (Not (Exists (ra_Px2 X)))) True
% 3.94/4.28 Clause #127 (by clausification #[126]): ∀ (a : Iota), Eq (Iff (ccxcomp a) (Not (Exists (ra_Px2 a)))) True
% 3.94/4.28 Clause #129 (by clausification #[127]): ∀ (a : Iota), Or (Eq (ccxcomp a) False) (Eq (Not (Exists (ra_Px2 a))) True)
% 3.94/4.31 Clause #137 (by clausification #[129]): ∀ (a : Iota), Or (Eq (ccxcomp a) False) (Eq (Exists (ra_Px2 a)) False)
% 3.94/4.31 Clause #138 (by clausification #[137]): ∀ (a a_1 : Iota), Or (Eq (ccxcomp a) False) (Eq (ra_Px2 a a_1) False)
% 3.94/4.31 Clause #140 (by betaEtaReduce #[16]): Eq (∀ (X : Iota), Iff (ca_Cx6xcomp X) (Exists (ra_Px6 X))) True
% 3.94/4.31 Clause #141 (by clausification #[140]): ∀ (a : Iota), Eq (Iff (ca_Cx6xcomp a) (Exists (ra_Px6 a))) True
% 3.94/4.31 Clause #142 (by clausification #[141]): ∀ (a : Iota), Or (Eq (ca_Cx6xcomp a) True) (Eq (Exists (ra_Px6 a)) False)
% 3.94/4.31 Clause #144 (by clausification #[142]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx6xcomp a) True) (Eq (ra_Px6 a a_1) False)
% 3.94/4.31 Clause #158 (by betaEtaReduce #[21]): Eq (∀ (X : Iota), Iff (ca_Cx8xcomp X) (Exists (ra_Px8 X))) True
% 3.94/4.31 Clause #159 (by clausification #[158]): ∀ (a : Iota), Eq (Iff (ca_Cx8xcomp a) (Exists (ra_Px8 a))) True
% 3.94/4.31 Clause #160 (by clausification #[159]): ∀ (a : Iota), Or (Eq (ca_Cx8xcomp a) True) (Eq (Exists (ra_Px8 a)) False)
% 3.94/4.31 Clause #162 (by clausification #[160]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx8xcomp a) True) (Eq (ra_Px8 a a_1) False)
% 3.94/4.31 Clause #164 (by betaEtaReduce #[14]): Eq (∀ (X : Iota), Iff (ca_Cx6 X) (Not (Exists (ra_Px6 X)))) True
% 3.94/4.31 Clause #165 (by clausification #[164]): ∀ (a : Iota), Eq (Iff (ca_Cx6 a) (Not (Exists (ra_Px6 a)))) True
% 3.94/4.31 Clause #166 (by clausification #[165]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Eq (Not (Exists (ra_Px6 a))) False)
% 3.94/4.31 Clause #168 (by clausification #[166]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Eq (Exists (ra_Px6 a)) True)
% 3.94/4.31 Clause #169 (by clausification #[168]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx6 a) True) (Eq (ra_Px6 a (skS.0 11 a a_1)) True)
% 3.94/4.31 Clause #170 (by superposition #[169, 144]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Or (Eq (ca_Cx6xcomp a) True) (Eq True False))
% 3.94/4.31 Clause #171 (by clausification #[170]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Eq (ca_Cx6xcomp a) True)
% 3.94/4.31 Clause #172 (by superposition #[171, 43]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Or (Eq True False) (Eq (cb a) True))
% 3.94/4.31 Clause #173 (by superposition #[171, 44]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Or (Eq True False) (Eq (ca a) True))
% 3.94/4.31 Clause #175 (by clausification #[173]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Eq (ca a) True)
% 3.94/4.31 Clause #176 (by superposition #[175, 66]): ∀ (a : Iota),
% 3.94/4.31 Or (Eq (ca a) True)
% 3.94/4.31 (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq True False) (Or (Eq (ca_Cx7 a) False) (Eq (ca_Cx8 a) False))))
% 3.94/4.31 Clause #177 (by clausification #[172]): ∀ (a : Iota), Or (Eq (ca_Cx6 a) True) (Eq (cb a) True)
% 3.94/4.31 Clause #178 (by superposition #[177, 66]): ∀ (a : Iota),
% 3.94/4.31 Or (Eq (cb a) True)
% 3.94/4.31 (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq True False) (Or (Eq (ca_Cx7 a) False) (Eq (ca_Cx8 a) False))))
% 3.94/4.31 Clause #185 (by betaEtaReduce #[19]): Eq (∀ (X : Iota), Iff (ca_Cx7xcomp X) (Not (Exists (ra_Px7 X)))) True
% 3.94/4.31 Clause #186 (by clausification #[185]): ∀ (a : Iota), Eq (Iff (ca_Cx7xcomp a) (Not (Exists (ra_Px7 a)))) True
% 3.94/4.31 Clause #187 (by clausification #[186]): ∀ (a : Iota), Or (Eq (ca_Cx7xcomp a) True) (Eq (Not (Exists (ra_Px7 a))) False)
% 3.94/4.31 Clause #189 (by clausification #[187]): ∀ (a : Iota), Or (Eq (ca_Cx7xcomp a) True) (Eq (Exists (ra_Px7 a)) True)
% 3.94/4.31 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx7xcomp a) True) (Eq (ra_Px7 a (skS.0 12 a a_1)) True)
% 3.94/4.31 Clause #191 (by superposition #[190, 124]): ∀ (a : Iota), Or (Eq (ca_Cx7xcomp a) True) (Or (Eq (ca_Cx7 a) True) (Eq True False))
% 3.94/4.31 Clause #192 (by clausification #[191]): ∀ (a : Iota), Or (Eq (ca_Cx7xcomp a) True) (Eq (ca_Cx7 a) True)
% 3.94/4.31 Clause #193 (by superposition #[192, 60]): ∀ (a : Iota), Or (Eq (ca_Cx7 a) True) (Or (Eq True False) (Eq (ca a) True))
% 3.94/4.31 Clause #194 (by superposition #[192, 61]): ∀ (a : Iota), Or (Eq (ca_Cx7 a) True) (Or (Eq True False) (Eq (cc a) True))
% 3.94/4.31 Clause #195 (by clausification #[194]): ∀ (a : Iota), Or (Eq (ca_Cx7 a) True) (Eq (cc a) True)
% 3.94/4.31 Clause #198 (by clausification #[193]): ∀ (a : Iota), Or (Eq (ca_Cx7 a) True) (Eq (ca a) True)
% 3.94/4.31 Clause #202 (by betaEtaReduce #[20]): Eq (∀ (X : Iota), Iff (ca_Cx8 X) (Not (Exists (ra_Px8 X)))) True
% 4.19/4.33 Clause #203 (by clausification #[202]): ∀ (a : Iota), Eq (Iff (ca_Cx8 a) (Not (Exists (ra_Px8 a)))) True
% 4.19/4.33 Clause #204 (by clausification #[203]): ∀ (a : Iota), Or (Eq (ca_Cx8 a) True) (Eq (Not (Exists (ra_Px8 a))) False)
% 4.19/4.33 Clause #206 (by clausification #[204]): ∀ (a : Iota), Or (Eq (ca_Cx8 a) True) (Eq (Exists (ra_Px8 a)) True)
% 4.19/4.33 Clause #207 (by clausification #[206]): ∀ (a a_1 : Iota), Or (Eq (ca_Cx8 a) True) (Eq (ra_Px8 a (skS.0 13 a a_1)) True)
% 4.19/4.33 Clause #208 (by superposition #[207, 162]): ∀ (a : Iota), Or (Eq (ca_Cx8 a) True) (Or (Eq (ca_Cx8xcomp a) True) (Eq True False))
% 4.19/4.33 Clause #209 (by clausification #[208]): ∀ (a : Iota), Or (Eq (ca_Cx8 a) True) (Eq (ca_Cx8xcomp a) True)
% 4.19/4.33 Clause #244 (by clausification #[176]): ∀ (a : Iota),
% 4.19/4.33 Or (Eq (ca a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (ca_Cx7 a) False) (Eq (ca_Cx8 a) False)))
% 4.19/4.33 Clause #246 (by superposition #[244, 198]): ∀ (a : Iota),
% 4.19/4.33 Or (Eq (ca a) True)
% 4.19/4.33 (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (ca_Cx8 a) False) (Or (Eq False True) (Eq (ca a) True))))
% 4.19/4.33 Clause #249 (by clausification #[246]): ∀ (a : Iota), Or (Eq (ca a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (ca_Cx8 a) False) (Eq (ca a) True)))
% 4.19/4.33 Clause #250 (by eliminate duplicate literals #[249]): ∀ (a : Iota), Or (Eq (ca a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Eq (ca_Cx8 a) False))
% 4.19/4.33 Clause #251 (by superposition #[250, 209]): ∀ (a : Iota), Or (Eq (ca a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq False True) (Eq (ca_Cx8xcomp a) True)))
% 4.19/4.33 Clause #255 (by clausification #[251]): ∀ (a : Iota), Or (Eq (ca a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Eq (ca_Cx8xcomp a) True))
% 4.19/4.33 Clause #256 (by superposition #[255, 84]): ∀ (a a_1 : Iota),
% 4.19/4.33 Or (Eq (ca a) True) (Or (Eq (ca_Cx8xcomp a) True) (Or (Eq True False) (Eq (ra_Px5 a (skS.0 1 a a_1)) True)))
% 4.19/4.33 Clause #267 (by clausification #[178]): ∀ (a : Iota),
% 4.19/4.33 Or (Eq (cb a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (ca_Cx7 a) False) (Eq (ca_Cx8 a) False)))
% 4.19/4.33 Clause #268 (by superposition #[267, 195]): ∀ (a : Iota),
% 4.19/4.33 Or (Eq (cb a) True)
% 4.19/4.33 (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (ca_Cx8 a) False) (Or (Eq False True) (Eq (cc a) True))))
% 4.19/4.33 Clause #276 (by clausification #[268]): ∀ (a : Iota), Or (Eq (cb a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (ca_Cx8 a) False) (Eq (cc a) True)))
% 4.19/4.33 Clause #277 (by superposition #[276, 209]): ∀ (a : Iota),
% 4.19/4.33 Or (Eq (cb a) True)
% 4.19/4.33 (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (cc a) True) (Or (Eq False True) (Eq (ca_Cx8xcomp a) True))))
% 4.19/4.33 Clause #280 (by clausification #[277]): ∀ (a : Iota), Or (Eq (cb a) True) (Or (Eq (cUnsatisfiablexcomp a) True) (Or (Eq (cc a) True) (Eq (ca_Cx8xcomp a) True)))
% 4.19/4.33 Clause #281 (by superposition #[280, 84]): ∀ (a a_1 : Iota),
% 4.19/4.33 Or (Eq (cb a) True)
% 4.19/4.33 (Or (Eq (cc a) True) (Or (Eq (ca_Cx8xcomp a) True) (Or (Eq True False) (Eq (ra_Px5 a (skS.0 1 a a_1)) True))))
% 4.19/4.33 Clause #293 (by clausification #[256]): ∀ (a a_1 : Iota), Or (Eq (ca a) True) (Or (Eq (ca_Cx8xcomp a) True) (Eq (ra_Px5 a (skS.0 1 a a_1)) True))
% 4.19/4.33 Clause #294 (by superposition #[293, 54]): Or (Eq (ca i2003_11_14_17_20_50869) True) (Or (Eq (ca_Cx8xcomp i2003_11_14_17_20_50869) True) (Eq True False))
% 4.19/4.33 Clause #296 (by clausification #[294]): Or (Eq (ca i2003_11_14_17_20_50869) True) (Eq (ca_Cx8xcomp i2003_11_14_17_20_50869) True)
% 4.19/4.33 Clause #297 (by superposition #[296, 86]): Or (Eq (ca i2003_11_14_17_20_50869) True) (Or (Eq True False) (Eq (cb i2003_11_14_17_20_50869) True))
% 4.19/4.33 Clause #298 (by superposition #[296, 87]): Or (Eq (ca i2003_11_14_17_20_50869) True) (Or (Eq True False) (Eq (cc i2003_11_14_17_20_50869) True))
% 4.19/4.33 Clause #300 (by clausification #[298]): Or (Eq (ca i2003_11_14_17_20_50869) True) (Eq (cc i2003_11_14_17_20_50869) True)
% 4.19/4.33 Clause #303 (by superposition #[300, 113]): ∀ (a : Iota),
% 4.19/4.33 Or (Eq (ca i2003_11_14_17_20_50869) True)
% 4.19/4.33 (Or (Eq True False) (Eq (ra_Px2 i2003_11_14_17_20_50869 (skS.0 4 i2003_11_14_17_20_50869 a)) True))
% 4.19/4.33 Clause #304 (by clausification #[297]): Or (Eq (ca i2003_11_14_17_20_50869) True) (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.33 Clause #305 (by superposition #[304, 27]): Or (Eq (cb i2003_11_14_17_20_50869) True) (Or (Eq True False) (Eq (ca_Cx1 i2003_11_14_17_20_50869) True))
% 4.19/4.35 Clause #308 (by clausification #[305]): Or (Eq (cb i2003_11_14_17_20_50869) True) (Eq (ca_Cx1 i2003_11_14_17_20_50869) True)
% 4.19/4.35 Clause #309 (by superposition #[308, 71]): Or (Eq (cb i2003_11_14_17_20_50869) True) (Or (Eq True False) (Eq (ccxcomp i2003_11_14_17_20_50869) True))
% 4.19/4.35 Clause #313 (by clausification #[281]): ∀ (a a_1 : Iota),
% 4.19/4.35 Or (Eq (cb a) True) (Or (Eq (cc a) True) (Or (Eq (ca_Cx8xcomp a) True) (Eq (ra_Px5 a (skS.0 1 a a_1)) True)))
% 4.19/4.35 Clause #314 (by superposition #[313, 54]): Or (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.35 (Or (Eq (cc i2003_11_14_17_20_50869) True) (Or (Eq (ca_Cx8xcomp i2003_11_14_17_20_50869) True) (Eq True False)))
% 4.19/4.35 Clause #316 (by clausification #[309]): Or (Eq (cb i2003_11_14_17_20_50869) True) (Eq (ccxcomp i2003_11_14_17_20_50869) True)
% 4.19/4.35 Clause #318 (by superposition #[316, 138]): ∀ (a : Iota),
% 4.19/4.35 Or (Eq (cb i2003_11_14_17_20_50869) True) (Or (Eq True False) (Eq (ra_Px2 i2003_11_14_17_20_50869 a) False))
% 4.19/4.35 Clause #320 (by clausification #[318]): ∀ (a : Iota), Or (Eq (cb i2003_11_14_17_20_50869) True) (Eq (ra_Px2 i2003_11_14_17_20_50869 a) False)
% 4.19/4.35 Clause #328 (by clausification #[314]): Or (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.35 (Or (Eq (cc i2003_11_14_17_20_50869) True) (Eq (ca_Cx8xcomp i2003_11_14_17_20_50869) True))
% 4.19/4.35 Clause #330 (by superposition #[328, 87]): Or (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.35 (Or (Eq (cc i2003_11_14_17_20_50869) True) (Or (Eq True False) (Eq (cc i2003_11_14_17_20_50869) True)))
% 4.19/4.35 Clause #335 (by clausification #[330]): Or (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.35 (Or (Eq (cc i2003_11_14_17_20_50869) True) (Eq (cc i2003_11_14_17_20_50869) True))
% 4.19/4.35 Clause #336 (by eliminate duplicate literals #[335]): Or (Eq (cb i2003_11_14_17_20_50869) True) (Eq (cc i2003_11_14_17_20_50869) True)
% 4.19/4.35 Clause #339 (by superposition #[336, 113]): ∀ (a : Iota),
% 4.19/4.35 Or (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.35 (Or (Eq True False) (Eq (ra_Px2 i2003_11_14_17_20_50869 (skS.0 4 i2003_11_14_17_20_50869 a)) True))
% 4.19/4.35 Clause #348 (by clausification #[303]): ∀ (a : Iota),
% 4.19/4.35 Or (Eq (ca i2003_11_14_17_20_50869) True)
% 4.19/4.35 (Eq (ra_Px2 i2003_11_14_17_20_50869 (skS.0 4 i2003_11_14_17_20_50869 a)) True)
% 4.19/4.35 Clause #362 (by clausification #[339]): ∀ (a : Iota),
% 4.19/4.35 Or (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.35 (Eq (ra_Px2 i2003_11_14_17_20_50869 (skS.0 4 i2003_11_14_17_20_50869 a)) True)
% 4.19/4.35 Clause #363 (by superposition #[362, 320]): Or (Eq (cb i2003_11_14_17_20_50869) True) (Or (Eq (cb i2003_11_14_17_20_50869) True) (Eq True False))
% 4.19/4.35 Clause #365 (by clausification #[363]): Or (Eq (cb i2003_11_14_17_20_50869) True) (Eq (cb i2003_11_14_17_20_50869) True)
% 4.19/4.35 Clause #366 (by eliminate duplicate literals #[365]): Eq (cb i2003_11_14_17_20_50869) True
% 4.19/4.35 Clause #376 (by superposition #[366, 25]): Or (Eq True False) (Eq (ccxcomp i2003_11_14_17_20_50869) True)
% 4.19/4.35 Clause #377 (by superposition #[366, 102]): ∀ (a : Iota), Or (Eq True False) (Eq (ra_Px3 i2003_11_14_17_20_50869 (skS.0 3 i2003_11_14_17_20_50869 a)) True)
% 4.19/4.35 Clause #378 (by clausification #[376]): Eq (ccxcomp i2003_11_14_17_20_50869) True
% 4.19/4.35 Clause #379 (by superposition #[378, 138]): ∀ (a : Iota), Or (Eq True False) (Eq (ra_Px2 i2003_11_14_17_20_50869 a) False)
% 4.19/4.35 Clause #382 (by clausification #[379]): ∀ (a : Iota), Eq (ra_Px2 i2003_11_14_17_20_50869 a) False
% 4.19/4.35 Clause #383 (by superposition #[382, 348]): Or (Eq (ca i2003_11_14_17_20_50869) True) (Eq False True)
% 4.19/4.35 Clause #385 (by clausification #[383]): Eq (ca i2003_11_14_17_20_50869) True
% 4.19/4.35 Clause #388 (by superposition #[385, 27]): Or (Eq True False) (Eq (ca_Cx1 i2003_11_14_17_20_50869) True)
% 4.19/4.35 Clause #391 (by clausification #[388]): Eq (ca_Cx1 i2003_11_14_17_20_50869) True
% 4.19/4.35 Clause #392 (by superposition #[391, 72]): Or (Eq True False) (Eq (cbxcomp i2003_11_14_17_20_50869) True)
% 4.19/4.35 Clause #394 (by clausification #[392]): Eq (cbxcomp i2003_11_14_17_20_50869) True
% 4.19/4.35 Clause #396 (by superposition #[394, 104]): ∀ (a : Iota), Or (Eq True False) (Eq (ra_Px3 i2003_11_14_17_20_50869 a) False)
% 4.19/4.35 Clause #397 (by clausification #[396]): ∀ (a : Iota), Eq (ra_Px3 i2003_11_14_17_20_50869 a) False
% 4.19/4.35 Clause #408 (by clausification #[377]): ∀ (a : Iota), Eq (ra_Px3 i2003_11_14_17_20_50869 (skS.0 3 i2003_11_14_17_20_50869 a)) True
% 4.19/4.35 Clause #409 (by superposition #[408, 397]): Eq True False
% 4.19/4.35 Clause #411 (by clausification #[409]): False
% 4.19/4.35 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------