TSTP Solution File: SYO178^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO178^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 : Fri Sep 1 04:21:44 EDT 2023
% Result : Theorem 3.75s 3.93s
% Output : Proof 3.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO178^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n026.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 : Sat Aug 26 01:15:18 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.75/3.93 SZS status Theorem for theBenchmark.p
% 3.75/3.93 SZS output start Proof for theBenchmark.p
% 3.75/3.93 Clause #0 (by assumption #[]): Eq
% 3.75/3.93 (Not
% 3.75/3.93 (Not
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
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% 3.75/3.93 (And
% 3.75/3.93 (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM))
% 3.75/3.93 (Or (Or (Not cG) cR) cM))
% 3.75/3.93 (Or (Or cG cP) cR))
% 3.75/3.93 (Or (Or (Not cK) (Not cB)) cC))
% 3.75/3.93 (Or (Or (Not cL) (Not cM)) cC))
% 3.75/3.93 (Or (Or cG cR) cK))
% 3.75/3.93 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.75/3.93 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.75/3.93 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.75/3.93 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.75/3.93 (Or (Or (Or (Not cN) cP) cF) cC))
% 3.75/3.93 (Or (Or (Or (Not cG) (Not cB)) cR) (Not cC)))
% 3.75/3.93 (Or (Or (Or cK (Not cN)) (Not cM)) cF))
% 3.75/3.93 (Or (Or (Or (Not cR) cK) cM) cG))
% 3.75/3.93 (Or (Or (Or (Or (Not cE) cK) (Not cG)) cN) (Not cM)))))
% 3.75/3.93 True
% 3.75/3.93 Clause #1 (by clausification #[0]): Eq
% 3.75/3.93 (Not
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
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% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM))
% 3.75/3.93 (Or (Or (Not cG) cR) cM))
% 3.75/3.93 (Or (Or cG cP) cR))
% 3.75/3.93 (Or (Or (Not cK) (Not cB)) cC))
% 3.75/3.93 (Or (Or (Not cL) (Not cM)) cC))
% 3.75/3.93 (Or (Or cG cR) cK))
% 3.75/3.93 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.75/3.93 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.75/3.93 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.75/3.93 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.75/3.93 (Or (Or (Or (Not cN) cP) cF) cC))
% 3.75/3.93 (Or (Or (Or (Not cG) (Not cB)) cR) (Not cC)))
% 3.75/3.93 (Or (Or (Or cK (Not cN)) (Not cM)) cF))
% 3.75/3.93 (Or (Or (Or (Not cR) cK) cM) cG))
% 3.75/3.93 (Or (Or (Or (Or (Not cE) cK) (Not cG)) cN) (Not cM))))
% 3.75/3.93 False
% 3.75/3.93 Clause #2 (by clausification #[1]): Eq
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
% 3.75/3.93 (And
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% 3.75/3.93 (Or (Or (Not cG) cR) cM))
% 3.75/3.93 (Or (Or cG cP) cR))
% 3.75/3.93 (Or (Or (Not cK) (Not cB)) cC))
% 3.75/3.93 (Or (Or (Not cL) (Not cM)) cC))
% 3.75/3.93 (Or (Or cG cR) cK))
% 3.75/3.93 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.75/3.93 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.75/3.93 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.75/3.93 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.75/3.93 (Or (Or (Or (Not cN) cP) cF) cC))
% 3.75/3.93 (Or (Or (Or (Not cG) (Not cB)) cR) (Not cC)))
% 3.75/3.93 (Or (Or (Or cK (Not cN)) (Not cM)) cF))
% 3.75/3.93 (Or (Or (Or (Not cR) cK) cM) cG))
% 3.75/3.93 (Or (Or (Or (Or (Not cE) cK) (Not cG)) cN) (Not cM)))
% 3.75/3.93 True
% 3.75/3.93 Clause #3 (by clausification #[2]): Eq (Or (Or (Or (Or (Not cE) cK) (Not cG)) cN) (Not cM)) True
% 3.75/3.93 Clause #4 (by clausification #[2]): Eq
% 3.75/3.93 (And
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% 3.75/3.95 (Or (Or (Not cG) cR) cM))
% 3.75/3.95 (Or (Or cG cP) cR))
% 3.75/3.95 (Or (Or (Not cK) (Not cB)) cC))
% 3.75/3.95 (Or (Or (Not cL) (Not cM)) cC))
% 3.75/3.95 (Or (Or cG cR) cK))
% 3.75/3.95 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.75/3.95 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.75/3.95 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.75/3.95 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.75/3.95 (Or (Or (Or (Not cN) cP) cF) cC))
% 3.75/3.95 (Or (Or (Or (Not cG) (Not cB)) cR) (Not cC)))
% 3.75/3.95 (Or (Or (Or cK (Not cN)) (Not cM)) cF))
% 3.75/3.95 (Or (Or (Or (Not cR) cK) cM) cG))
% 3.75/3.95 True
% 3.75/3.95 Clause #5 (by clausification #[3]): Or (Eq (Or (Or (Or (Not cE) cK) (Not cG)) cN) True) (Eq (Not cM) True)
% 3.75/3.95 Clause #6 (by clausification #[5]): Or (Eq (Not cM) True) (Or (Eq (Or (Or (Not cE) cK) (Not cG)) True) (Eq cN True))
% 3.75/3.95 Clause #7 (by clausification #[6]): Or (Eq (Or (Or (Not cE) cK) (Not cG)) True) (Or (Eq cN True) (Eq cM False))
% 3.75/3.95 Clause #8 (by clausification #[7]): Or (Eq cN True) (Or (Eq cM False) (Or (Eq (Or (Not cE) cK) True) (Eq (Not cG) True)))
% 3.75/3.95 Clause #9 (by clausification #[8]): Or (Eq cN True) (Or (Eq cM False) (Or (Eq (Not cG) True) (Or (Eq (Not cE) True) (Eq cK True))))
% 3.75/3.95 Clause #10 (by clausification #[9]): Or (Eq cN True) (Or (Eq cM False) (Or (Eq (Not cE) True) (Or (Eq cK True) (Eq cG False))))
% 3.75/3.95 Clause #11 (by clausification #[10]): Or (Eq cN True) (Or (Eq cM False) (Or (Eq cK True) (Or (Eq cG False) (Eq cE False))))
% 3.75/3.95 Clause #12 (by clausification #[4]): Eq (Or (Or (Or (Not cR) cK) cM) cG) True
% 3.75/3.95 Clause #13 (by clausification #[4]): Eq
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% 3.75/3.95 (And
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% 3.75/3.95 (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM))
% 3.75/3.95 (Or (Or (Not cG) cR) cM))
% 3.75/3.95 (Or (Or cG cP) cR))
% 3.75/3.95 (Or (Or (Not cK) (Not cB)) cC))
% 3.75/3.95 (Or (Or (Not cL) (Not cM)) cC))
% 3.75/3.95 (Or (Or cG cR) cK))
% 3.75/3.95 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.75/3.95 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.75/3.95 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.75/3.95 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.75/3.95 (Or (Or (Or (Not cN) cP) cF) cC))
% 3.75/3.95 (Or (Or (Or (Not cG) (Not cB)) cR) (Not cC)))
% 3.75/3.95 (Or (Or (Or cK (Not cN)) (Not cM)) cF))
% 3.75/3.95 True
% 3.75/3.95 Clause #14 (by clausification #[12]): Or (Eq (Or (Or (Not cR) cK) cM) True) (Eq cG True)
% 3.75/3.95 Clause #15 (by clausification #[14]): Or (Eq cG True) (Or (Eq (Or (Not cR) cK) True) (Eq cM True))
% 3.75/3.95 Clause #16 (by clausification #[15]): Or (Eq cG True) (Or (Eq cM True) (Or (Eq (Not cR) True) (Eq cK True)))
% 3.75/3.95 Clause #17 (by clausification #[16]): Or (Eq cG True) (Or (Eq cM True) (Or (Eq cK True) (Eq cR False)))
% 3.75/3.95 Clause #18 (by clausification #[13]): Eq (Or (Or (Or cK (Not cN)) (Not cM)) cF) True
% 3.75/3.95 Clause #19 (by clausification #[13]): Eq
% 3.75/3.95 (And
% 3.75/3.95 (And
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% 3.75/3.95 (And
% 3.75/3.95 (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM))
% 3.75/3.95 (Or (Or (Not cG) cR) cM))
% 3.75/3.95 (Or (Or cG cP) cR))
% 3.75/3.95 (Or (Or (Not cK) (Not cB)) cC))
% 3.75/3.95 (Or (Or (Not cL) (Not cM)) cC))
% 3.75/3.95 (Or (Or cG cR) cK))
% 3.75/3.95 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.75/3.95 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.75/3.95 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.75/3.95 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.75/3.95 (Or (Or (Or (Not cN) cP) cF) cC))
% 3.75/3.95 (Or (Or (Or (Not cG) (Not cB)) cR) (Not cC)))
% 3.75/3.95 True
% 3.75/3.95 Clause #20 (by clausification #[18]): Or (Eq (Or (Or cK (Not cN)) (Not cM)) True) (Eq cF True)
% 3.75/3.95 Clause #21 (by clausification #[20]): Or (Eq cF True) (Or (Eq (Or cK (Not cN)) True) (Eq (Not cM) True))
% 3.75/3.95 Clause #22 (by clausification #[21]): Or (Eq cF True) (Or (Eq (Not cM) True) (Or (Eq cK True) (Eq (Not cN) True)))
% 3.80/3.98 Clause #23 (by clausification #[22]): Or (Eq cF True) (Or (Eq cK True) (Or (Eq (Not cN) True) (Eq cM False)))
% 3.80/3.98 Clause #24 (by clausification #[23]): Or (Eq cF True) (Or (Eq cK True) (Or (Eq cM False) (Eq cN False)))
% 3.80/3.98 Clause #25 (by clausification #[19]): Eq (Or (Or (Or (Not cG) (Not cB)) cR) (Not cC)) True
% 3.80/3.98 Clause #26 (by clausification #[19]): Eq
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (And
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% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM))
% 3.80/3.98 (Or (Or (Not cG) cR) cM))
% 3.80/3.98 (Or (Or cG cP) cR))
% 3.80/3.98 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/3.98 (Or (Or (Not cL) (Not cM)) cC))
% 3.80/3.98 (Or (Or cG cR) cK))
% 3.80/3.98 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.80/3.98 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.80/3.98 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.80/3.98 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.80/3.98 (Or (Or (Or (Not cN) cP) cF) cC))
% 3.80/3.98 True
% 3.80/3.98 Clause #27 (by clausification #[25]): Or (Eq (Or (Or (Not cG) (Not cB)) cR) True) (Eq (Not cC) True)
% 3.80/3.98 Clause #28 (by clausification #[27]): Or (Eq (Not cC) True) (Or (Eq (Or (Not cG) (Not cB)) True) (Eq cR True))
% 3.80/3.98 Clause #29 (by clausification #[28]): Or (Eq (Or (Not cG) (Not cB)) True) (Or (Eq cR True) (Eq cC False))
% 3.80/3.98 Clause #30 (by clausification #[29]): Or (Eq cR True) (Or (Eq cC False) (Or (Eq (Not cG) True) (Eq (Not cB) True)))
% 3.80/3.98 Clause #31 (by clausification #[30]): Or (Eq cR True) (Or (Eq cC False) (Or (Eq (Not cB) True) (Eq cG False)))
% 3.80/3.98 Clause #32 (by clausification #[31]): Or (Eq cR True) (Or (Eq cC False) (Or (Eq cG False) (Eq cB False)))
% 3.80/3.98 Clause #33 (by clausification #[26]): Eq (Or (Or (Or (Not cN) cP) cF) cC) True
% 3.80/3.98 Clause #34 (by clausification #[26]): Eq
% 3.80/3.98 (And
% 3.80/3.98 (And
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% 3.80/3.98 (Or (Or cG cP) cR))
% 3.80/3.98 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/3.98 (Or (Or (Not cL) (Not cM)) cC))
% 3.80/3.98 (Or (Or cG cR) cK))
% 3.80/3.98 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.80/3.98 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.80/3.98 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.80/3.98 (Or (Or (Or (Not cG) cK) cM) (Not cB)))
% 3.80/3.98 True
% 3.80/3.98 Clause #35 (by clausification #[33]): Or (Eq (Or (Or (Not cN) cP) cF) True) (Eq cC True)
% 3.80/3.98 Clause #36 (by clausification #[35]): Or (Eq cC True) (Or (Eq (Or (Not cN) cP) True) (Eq cF True))
% 3.80/3.98 Clause #37 (by clausification #[36]): Or (Eq cC True) (Or (Eq cF True) (Or (Eq (Not cN) True) (Eq cP True)))
% 3.80/3.98 Clause #38 (by clausification #[37]): Or (Eq cC True) (Or (Eq cF True) (Or (Eq cP True) (Eq cN False)))
% 3.80/3.98 Clause #39 (by clausification #[34]): Eq (Or (Or (Or (Not cG) cK) cM) (Not cB)) True
% 3.80/3.98 Clause #40 (by clausification #[34]): Eq
% 3.80/3.98 (And
% 3.80/3.98 (And
% 3.80/3.98 (And
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% 3.80/3.98 (And
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% 3.80/3.98 (Or (Or cG cP) cR))
% 3.80/3.98 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/3.98 (Or (Or (Not cL) (Not cM)) cC))
% 3.80/3.98 (Or (Or cG cR) cK))
% 3.80/3.98 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.80/3.98 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.80/3.98 (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)))
% 3.80/3.98 True
% 3.80/3.98 Clause #41 (by clausification #[39]): Or (Eq (Or (Or (Not cG) cK) cM) True) (Eq (Not cB) True)
% 3.80/3.98 Clause #42 (by clausification #[41]): Or (Eq (Not cB) True) (Or (Eq (Or (Not cG) cK) True) (Eq cM True))
% 3.80/3.98 Clause #43 (by clausification #[42]): Or (Eq (Or (Not cG) cK) True) (Or (Eq cM True) (Eq cB False))
% 3.80/3.98 Clause #44 (by clausification #[43]): Or (Eq cM True) (Or (Eq cB False) (Or (Eq (Not cG) True) (Eq cK True)))
% 3.80/3.98 Clause #45 (by clausification #[44]): Or (Eq cM True) (Or (Eq cB False) (Or (Eq cK True) (Eq cG False)))
% 3.80/3.98 Clause #46 (by clausification #[40]): Eq (Or (Or (Or (Not cK) (Not cL)) (Not cE)) (Not cM)) True
% 3.80/4.01 Clause #47 (by clausification #[40]): Eq
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) (Or (Or (Not cG) cR) cM))
% 3.80/4.01 (Or (Or cG cP) cR))
% 3.80/4.01 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/4.01 (Or (Or (Not cL) (Not cM)) cC))
% 3.80/4.01 (Or (Or cG cR) cK))
% 3.80/4.01 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.80/4.01 (Or (Or (Or (Not cR) cN) cF) cP))
% 3.80/4.01 True
% 3.80/4.01 Clause #48 (by clausification #[46]): Or (Eq (Or (Or (Not cK) (Not cL)) (Not cE)) True) (Eq (Not cM) True)
% 3.80/4.01 Clause #49 (by clausification #[48]): Or (Eq (Not cM) True) (Or (Eq (Or (Not cK) (Not cL)) True) (Eq (Not cE) True))
% 3.80/4.01 Clause #50 (by clausification #[49]): Or (Eq (Or (Not cK) (Not cL)) True) (Or (Eq (Not cE) True) (Eq cM False))
% 3.80/4.01 Clause #51 (by clausification #[50]): Or (Eq (Not cE) True) (Or (Eq cM False) (Or (Eq (Not cK) True) (Eq (Not cL) True)))
% 3.80/4.01 Clause #52 (by clausification #[51]): Or (Eq cM False) (Or (Eq (Not cK) True) (Or (Eq (Not cL) True) (Eq cE False)))
% 3.80/4.01 Clause #53 (by clausification #[52]): Or (Eq cM False) (Or (Eq (Not cL) True) (Or (Eq cE False) (Eq cK False)))
% 3.80/4.01 Clause #54 (by clausification #[53]): Or (Eq cM False) (Or (Eq cE False) (Or (Eq cK False) (Eq cL False)))
% 3.80/4.01 Clause #55 (by clausification #[47]): Eq (Or (Or (Or (Not cR) cN) cF) cP) True
% 3.80/4.01 Clause #56 (by clausification #[47]): Eq
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) (Or (Or (Not cG) cR) cM))
% 3.80/4.01 (Or (Or cG cP) cR))
% 3.80/4.01 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/4.01 (Or (Or (Not cL) (Not cM)) cC))
% 3.80/4.01 (Or (Or cG cR) cK))
% 3.80/4.01 (Or (Or (Not cR) (Not cE)) (Not cC)))
% 3.80/4.01 True
% 3.80/4.01 Clause #57 (by clausification #[55]): Or (Eq (Or (Or (Not cR) cN) cF) True) (Eq cP True)
% 3.80/4.01 Clause #58 (by clausification #[57]): Or (Eq cP True) (Or (Eq (Or (Not cR) cN) True) (Eq cF True))
% 3.80/4.01 Clause #59 (by clausification #[58]): Or (Eq cP True) (Or (Eq cF True) (Or (Eq (Not cR) True) (Eq cN True)))
% 3.80/4.01 Clause #60 (by clausification #[59]): Or (Eq cP True) (Or (Eq cF True) (Or (Eq cN True) (Eq cR False)))
% 3.80/4.01 Clause #61 (by clausification #[56]): Eq (Or (Or (Not cR) (Not cE)) (Not cC)) True
% 3.80/4.01 Clause #62 (by clausification #[56]): Eq
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) (Or (Or (Not cG) cR) cM))
% 3.80/4.01 (Or (Or cG cP) cR))
% 3.80/4.01 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/4.01 (Or (Or (Not cL) (Not cM)) cC))
% 3.80/4.01 (Or (Or cG cR) cK))
% 3.80/4.01 True
% 3.80/4.01 Clause #63 (by clausification #[61]): Or (Eq (Or (Not cR) (Not cE)) True) (Eq (Not cC) True)
% 3.80/4.01 Clause #64 (by clausification #[63]): Or (Eq (Not cC) True) (Or (Eq (Not cR) True) (Eq (Not cE) True))
% 3.80/4.01 Clause #65 (by clausification #[64]): Or (Eq (Not cR) True) (Or (Eq (Not cE) True) (Eq cC False))
% 3.80/4.01 Clause #66 (by clausification #[65]): Or (Eq (Not cE) True) (Or (Eq cC False) (Eq cR False))
% 3.80/4.01 Clause #67 (by clausification #[66]): Or (Eq cC False) (Or (Eq cR False) (Eq cE False))
% 3.80/4.01 Clause #68 (by clausification #[62]): Eq (Or (Or cG cR) cK) True
% 3.80/4.01 Clause #69 (by clausification #[62]): Eq
% 3.80/4.01 (And
% 3.80/4.01 (And
% 3.80/4.01 (And (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) (Or (Or (Not cG) cR) cM))
% 3.80/4.01 (Or (Or cG cP) cR))
% 3.80/4.01 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/4.01 (Or (Or (Not cL) (Not cM)) cC))
% 3.80/4.01 True
% 3.80/4.01 Clause #70 (by clausification #[68]): Or (Eq (Or cG cR) True) (Eq cK True)
% 3.80/4.01 Clause #71 (by clausification #[70]): Or (Eq cK True) (Or (Eq cG True) (Eq cR True))
% 3.80/4.01 Clause #72 (by clausification #[69]): Eq (Or (Or (Not cL) (Not cM)) cC) True
% 3.80/4.01 Clause #73 (by clausification #[69]): Eq
% 3.80/4.01 (And
% 3.80/4.01 (And (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) (Or (Or (Not cG) cR) cM))
% 3.80/4.01 (Or (Or cG cP) cR))
% 3.80/4.01 (Or (Or (Not cK) (Not cB)) cC))
% 3.80/4.01 True
% 3.80/4.01 Clause #74 (by clausification #[72]): Or (Eq (Or (Not cL) (Not cM)) True) (Eq cC True)
% 3.80/4.01 Clause #75 (by clausification #[74]): Or (Eq cC True) (Or (Eq (Not cL) True) (Eq (Not cM) True))
% 3.80/4.01 Clause #76 (by clausification #[75]): Or (Eq cC True) (Or (Eq (Not cM) True) (Eq cL False))
% 3.80/4.03 Clause #77 (by clausification #[76]): Or (Eq cC True) (Or (Eq cL False) (Eq cM False))
% 3.80/4.03 Clause #78 (by clausification #[73]): Eq (Or (Or (Not cK) (Not cB)) cC) True
% 3.80/4.03 Clause #79 (by clausification #[73]): Eq
% 3.80/4.03 (And (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) (Or (Or (Not cG) cR) cM))
% 3.80/4.03 (Or (Or cG cP) cR))
% 3.80/4.03 True
% 3.80/4.03 Clause #80 (by clausification #[78]): Or (Eq (Or (Not cK) (Not cB)) True) (Eq cC True)
% 3.80/4.03 Clause #81 (by clausification #[80]): Or (Eq cC True) (Or (Eq (Not cK) True) (Eq (Not cB) True))
% 3.80/4.03 Clause #82 (by clausification #[81]): Or (Eq cC True) (Or (Eq (Not cB) True) (Eq cK False))
% 3.80/4.03 Clause #83 (by clausification #[82]): Or (Eq cC True) (Or (Eq cK False) (Eq cB False))
% 3.80/4.03 Clause #84 (by clausification #[79]): Eq (Or (Or cG cP) cR) True
% 3.80/4.03 Clause #85 (by clausification #[79]): Eq (And (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) (Or (Or (Not cG) cR) cM)) True
% 3.80/4.03 Clause #86 (by clausification #[84]): Or (Eq (Or cG cP) True) (Eq cR True)
% 3.80/4.03 Clause #87 (by clausification #[86]): Or (Eq cR True) (Or (Eq cG True) (Eq cP True))
% 3.80/4.03 Clause #88 (by clausification #[85]): Eq (Or (Or (Not cG) cR) cM) True
% 3.80/4.03 Clause #89 (by clausification #[85]): Eq (And (And (And cL cE) (Or (Not cF) cB)) (Or (Or (Not cL) (Not cP)) cM)) True
% 3.80/4.03 Clause #90 (by clausification #[88]): Or (Eq (Or (Not cG) cR) True) (Eq cM True)
% 3.80/4.03 Clause #91 (by clausification #[90]): Or (Eq cM True) (Or (Eq (Not cG) True) (Eq cR True))
% 3.80/4.03 Clause #92 (by clausification #[91]): Or (Eq cM True) (Or (Eq cR True) (Eq cG False))
% 3.80/4.03 Clause #98 (by clausification #[89]): Eq (Or (Or (Not cL) (Not cP)) cM) True
% 3.80/4.03 Clause #99 (by clausification #[89]): Eq (And (And cL cE) (Or (Not cF) cB)) True
% 3.80/4.03 Clause #100 (by clausification #[98]): Or (Eq (Or (Not cL) (Not cP)) True) (Eq cM True)
% 3.80/4.03 Clause #101 (by clausification #[100]): Or (Eq cM True) (Or (Eq (Not cL) True) (Eq (Not cP) True))
% 3.80/4.03 Clause #102 (by clausification #[101]): Or (Eq cM True) (Or (Eq (Not cP) True) (Eq cL False))
% 3.80/4.03 Clause #103 (by clausification #[102]): Or (Eq cM True) (Or (Eq cL False) (Eq cP False))
% 3.80/4.03 Clause #104 (by clausification #[99]): Eq (Or (Not cF) cB) True
% 3.80/4.03 Clause #105 (by clausification #[99]): Eq (And cL cE) True
% 3.80/4.03 Clause #106 (by clausification #[104]): Or (Eq (Not cF) True) (Eq cB True)
% 3.80/4.03 Clause #107 (by clausification #[106]): Or (Eq cB True) (Eq cF False)
% 3.80/4.03 Clause #108 (by clausification #[105]): Eq cE True
% 3.80/4.03 Clause #109 (by clausification #[105]): Eq cL True
% 3.80/4.03 Clause #110 (by backward demodulation #[108, 11]): Or (Eq cN True) (Or (Eq cM False) (Or (Eq cK True) (Or (Eq cG False) (Eq True False))))
% 3.80/4.03 Clause #111 (by backward demodulation #[109, 54]): Or (Eq cM False) (Or (Eq cE False) (Or (Eq cK False) (Eq True False)))
% 3.80/4.03 Clause #112 (by backward demodulation #[109, 103]): Or (Eq cM True) (Or (Eq True False) (Eq cP False))
% 3.80/4.03 Clause #113 (by superposition #[109, 77]): Or (Eq cC True) (Or (Eq True False) (Eq cM False))
% 3.80/4.03 Clause #114 (by clausification #[113]): Or (Eq cC True) (Eq cM False)
% 3.80/4.03 Clause #115 (by clausification #[112]): Or (Eq cM True) (Eq cP False)
% 3.80/4.03 Clause #116 (by superposition #[115, 87]): Or (Eq cM True) (Or (Eq cR True) (Or (Eq cG True) (Eq False True)))
% 3.80/4.03 Clause #117 (by clausification #[116]): Or (Eq cM True) (Or (Eq cR True) (Eq cG True))
% 3.80/4.03 Clause #118 (by superposition #[117, 92]): Or (Eq cM True) (Or (Eq cR True) (Or (Eq cM True) (Or (Eq cR True) (Eq True False))))
% 3.80/4.03 Clause #119 (by clausification #[110]): Or (Eq cN True) (Or (Eq cM False) (Or (Eq cK True) (Eq cG False)))
% 3.80/4.03 Clause #120 (by clausification #[111]): Or (Eq cM False) (Or (Eq cE False) (Eq cK False))
% 3.80/4.03 Clause #121 (by clausification #[118]): Or (Eq cM True) (Or (Eq cR True) (Or (Eq cM True) (Eq cR True)))
% 3.80/4.03 Clause #122 (by eliminate duplicate literals #[121]): Or (Eq cM True) (Eq cR True)
% 3.80/4.03 Clause #123 (by superposition #[122, 17]): Or (Eq cM True) (Or (Eq cG True) (Or (Eq cM True) (Or (Eq cK True) (Eq True False))))
% 3.80/4.03 Clause #124 (by superposition #[122, 60]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cF True) (Or (Eq cN True) (Eq True False))))
% 3.80/4.03 Clause #125 (by clausification #[124]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cF True) (Eq cN True)))
% 3.89/4.06 Clause #126 (by superposition #[125, 38]): Or (Eq cM True)
% 3.89/4.06 (Or (Eq cP True) (Or (Eq cF True) (Or (Eq cC True) (Or (Eq cF True) (Or (Eq cP True) (Eq True False))))))
% 3.89/4.06 Clause #127 (by clausification #[123]): Or (Eq cM True) (Or (Eq cG True) (Or (Eq cM True) (Eq cK True)))
% 3.89/4.06 Clause #128 (by eliminate duplicate literals #[127]): Or (Eq cM True) (Or (Eq cG True) (Eq cK True))
% 3.89/4.06 Clause #129 (by clausification #[126]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cF True) (Or (Eq cC True) (Or (Eq cF True) (Eq cP True)))))
% 3.89/4.06 Clause #130 (by eliminate duplicate literals #[129]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cF True) (Eq cC True)))
% 3.89/4.06 Clause #131 (by superposition #[130, 107]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cC True) (Or (Eq cB True) (Eq True False))))
% 3.89/4.06 Clause #132 (by clausification #[131]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cC True) (Eq cB True)))
% 3.89/4.06 Clause #133 (by superposition #[132, 45]): Or (Eq cM True)
% 3.89/4.06 (Or (Eq cP True) (Or (Eq cC True) (Or (Eq cM True) (Or (Eq True False) (Or (Eq cK True) (Eq cG False))))))
% 3.89/4.06 Clause #134 (by clausification #[133]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cC True) (Or (Eq cM True) (Or (Eq cK True) (Eq cG False)))))
% 3.89/4.06 Clause #135 (by eliminate duplicate literals #[134]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cC True) (Or (Eq cK True) (Eq cG False))))
% 3.89/4.06 Clause #137 (by superposition #[135, 128]): Or (Eq cM True)
% 3.89/4.06 (Or (Eq cP True) (Or (Eq cC True) (Or (Eq cK True) (Or (Eq cM True) (Or (Eq False True) (Eq cK True))))))
% 3.89/4.06 Clause #138 (by clausification #[137]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cC True) (Or (Eq cK True) (Or (Eq cM True) (Eq cK True)))))
% 3.89/4.06 Clause #139 (by eliminate duplicate literals #[138]): Or (Eq cM True) (Or (Eq cP True) (Or (Eq cC True) (Eq cK True)))
% 3.89/4.06 Clause #140 (by superposition #[139, 115]): Or (Eq cM True) (Or (Eq cC True) (Or (Eq cK True) (Or (Eq cM True) (Eq True False))))
% 3.89/4.06 Clause #141 (by clausification #[140]): Or (Eq cM True) (Or (Eq cC True) (Or (Eq cK True) (Eq cM True)))
% 3.89/4.06 Clause #142 (by eliminate duplicate literals #[141]): Or (Eq cM True) (Or (Eq cC True) (Eq cK True))
% 3.89/4.06 Clause #144 (by superposition #[142, 67]): Or (Eq cM True) (Or (Eq cK True) (Or (Eq True False) (Or (Eq cR False) (Eq cE False))))
% 3.89/4.06 Clause #145 (by clausification #[144]): Or (Eq cM True) (Or (Eq cK True) (Or (Eq cR False) (Eq cE False)))
% 3.89/4.06 Clause #146 (by superposition #[145, 122]): Or (Eq cM True) (Or (Eq cK True) (Or (Eq cE False) (Or (Eq cM True) (Eq False True))))
% 3.89/4.06 Clause #147 (by clausification #[146]): Or (Eq cM True) (Or (Eq cK True) (Or (Eq cE False) (Eq cM True)))
% 3.89/4.06 Clause #148 (by eliminate duplicate literals #[147]): Or (Eq cM True) (Or (Eq cK True) (Eq cE False))
% 3.89/4.06 Clause #149 (by superposition #[148, 108]): Or (Eq cM True) (Or (Eq cK True) (Eq False True))
% 3.89/4.06 Clause #152 (by clausification #[149]): Or (Eq cM True) (Eq cK True)
% 3.89/4.06 Clause #153 (by superposition #[152, 83]): Or (Eq cM True) (Or (Eq cC True) (Or (Eq True False) (Eq cB False)))
% 3.89/4.06 Clause #154 (by clausification #[153]): Or (Eq cM True) (Or (Eq cC True) (Eq cB False))
% 3.89/4.06 Clause #155 (by superposition #[154, 132]): Or (Eq cM True) (Or (Eq cC True) (Or (Eq cM True) (Or (Eq cP True) (Or (Eq cC True) (Eq False True)))))
% 3.89/4.06 Clause #156 (by clausification #[155]): Or (Eq cM True) (Or (Eq cC True) (Or (Eq cM True) (Or (Eq cP True) (Eq cC True))))
% 3.89/4.06 Clause #157 (by eliminate duplicate literals #[156]): Or (Eq cM True) (Or (Eq cC True) (Eq cP True))
% 3.89/4.06 Clause #158 (by superposition #[157, 115]): Or (Eq cM True) (Or (Eq cC True) (Or (Eq cM True) (Eq True False)))
% 3.89/4.06 Clause #159 (by clausification #[158]): Or (Eq cM True) (Or (Eq cC True) (Eq cM True))
% 3.89/4.06 Clause #160 (by eliminate duplicate literals #[159]): Or (Eq cM True) (Eq cC True)
% 3.89/4.06 Clause #162 (by superposition #[160, 67]): Or (Eq cM True) (Or (Eq True False) (Or (Eq cR False) (Eq cE False)))
% 3.89/4.06 Clause #163 (by clausification #[162]): Or (Eq cM True) (Or (Eq cR False) (Eq cE False))
% 3.89/4.06 Clause #164 (by superposition #[163, 122]): Or (Eq cM True) (Or (Eq cE False) (Or (Eq cM True) (Eq False True)))
% 3.89/4.06 Clause #166 (by clausification #[164]): Or (Eq cM True) (Or (Eq cE False) (Eq cM True))
% 3.89/4.08 Clause #167 (by eliminate duplicate literals #[166]): Or (Eq cM True) (Eq cE False)
% 3.89/4.08 Clause #168 (by superposition #[167, 108]): Or (Eq cM True) (Eq False True)
% 3.89/4.08 Clause #169 (by clausification #[168]): Eq cM True
% 3.89/4.08 Clause #170 (by backward demodulation #[169, 24]): Or (Eq cF True) (Or (Eq cK True) (Or (Eq True False) (Eq cN False)))
% 3.89/4.08 Clause #171 (by backward demodulation #[169, 114]): Or (Eq cC True) (Eq True False)
% 3.89/4.08 Clause #173 (by backward demodulation #[169, 119]): Or (Eq cN True) (Or (Eq True False) (Or (Eq cK True) (Eq cG False)))
% 3.89/4.08 Clause #174 (by backward demodulation #[169, 120]): Or (Eq True False) (Or (Eq cE False) (Eq cK False))
% 3.89/4.08 Clause #182 (by clausification #[171]): Eq cC True
% 3.89/4.08 Clause #183 (by backward demodulation #[182, 32]): Or (Eq cR True) (Or (Eq True False) (Or (Eq cG False) (Eq cB False)))
% 3.89/4.08 Clause #185 (by backward demodulation #[182, 67]): Or (Eq True False) (Or (Eq cR False) (Eq cE False))
% 3.89/4.08 Clause #187 (by clausification #[174]): Or (Eq cE False) (Eq cK False)
% 3.89/4.08 Clause #188 (by superposition #[187, 108]): Or (Eq cK False) (Eq False True)
% 3.89/4.08 Clause #189 (by clausification #[170]): Or (Eq cF True) (Or (Eq cK True) (Eq cN False))
% 3.89/4.08 Clause #190 (by clausification #[188]): Eq cK False
% 3.89/4.08 Clause #191 (by backward demodulation #[190, 71]): Or (Eq False True) (Or (Eq cG True) (Eq cR True))
% 3.89/4.08 Clause #193 (by backward demodulation #[190, 189]): Or (Eq cF True) (Or (Eq False True) (Eq cN False))
% 3.89/4.08 Clause #194 (by clausification #[191]): Or (Eq cG True) (Eq cR True)
% 3.89/4.08 Clause #195 (by clausification #[193]): Or (Eq cF True) (Eq cN False)
% 3.89/4.08 Clause #196 (by clausification #[185]): Or (Eq cR False) (Eq cE False)
% 3.89/4.08 Clause #197 (by clausification #[173]): Or (Eq cN True) (Or (Eq cK True) (Eq cG False))
% 3.89/4.08 Clause #198 (by forward demodulation #[197, 190]): Or (Eq cN True) (Or (Eq False True) (Eq cG False))
% 3.89/4.08 Clause #199 (by clausification #[198]): Or (Eq cN True) (Eq cG False)
% 3.89/4.08 Clause #200 (by superposition #[199, 194]): Or (Eq cN True) (Or (Eq False True) (Eq cR True))
% 3.89/4.08 Clause #201 (by clausification #[200]): Or (Eq cN True) (Eq cR True)
% 3.89/4.08 Clause #202 (by superposition #[201, 195]): Or (Eq cR True) (Or (Eq cF True) (Eq True False))
% 3.89/4.08 Clause #203 (by clausification #[202]): Or (Eq cR True) (Eq cF True)
% 3.89/4.08 Clause #204 (by superposition #[203, 107]): Or (Eq cR True) (Or (Eq cB True) (Eq True False))
% 3.89/4.08 Clause #205 (by clausification #[204]): Or (Eq cR True) (Eq cB True)
% 3.89/4.08 Clause #206 (by clausification #[183]): Or (Eq cR True) (Or (Eq cG False) (Eq cB False))
% 3.89/4.08 Clause #207 (by superposition #[206, 194]): Or (Eq cR True) (Or (Eq cB False) (Or (Eq False True) (Eq cR True)))
% 3.89/4.08 Clause #208 (by clausification #[207]): Or (Eq cR True) (Or (Eq cB False) (Eq cR True))
% 3.89/4.08 Clause #209 (by eliminate duplicate literals #[208]): Or (Eq cR True) (Eq cB False)
% 3.89/4.08 Clause #210 (by superposition #[209, 205]): Or (Eq cR True) (Or (Eq cR True) (Eq False True))
% 3.89/4.08 Clause #211 (by clausification #[210]): Or (Eq cR True) (Eq cR True)
% 3.89/4.08 Clause #212 (by eliminate duplicate literals #[211]): Eq cR True
% 3.89/4.08 Clause #215 (by backward demodulation #[212, 196]): Or (Eq True False) (Eq cE False)
% 3.89/4.08 Clause #222 (by clausification #[215]): Eq cE False
% 3.89/4.08 Clause #223 (by superposition #[222, 108]): Eq False True
% 3.89/4.08 Clause #224 (by clausification #[223]): False
% 3.89/4.08 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------