TSTP Solution File: SYO090^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO090^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 04:21:28 EDT 2023
% Result : Theorem 3.50s 3.71s
% Output : Proof 3.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO090^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.19/0.35 % Computer : n018.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Sat Aug 26 06:58:29 EDT 2023
% 0.19/0.35 % CPUTime :
% 3.50/3.71 SZS status Theorem for theBenchmark.p
% 3.50/3.71 SZS output start Proof for theBenchmark.p
% 3.50/3.71 Clause #0 (by assumption #[]): Eq
% 3.50/3.71 (Not
% 3.50/3.71 (Or
% 3.50/3.71 (Or
% 3.50/3.71 (Or
% 3.50/3.71 (Not
% 3.50/3.71 (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q))
% 3.50/3.71 (Not (And s t))))
% 3.50/3.71 (Not q))
% 3.50/3.71 (Not s))
% 3.50/3.71 (Not t) →
% 3.50/3.71 Or
% 3.50/3.71 (Not
% 3.50/3.71 (And
% 3.50/3.71 (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))
% 3.50/3.71 q))
% 3.50/3.71 (Not (And s t))))
% 3.50/3.71 True
% 3.50/3.71 Clause #1 (by clausification #[0]): Eq
% 3.50/3.71 (Or
% 3.50/3.71 (Or
% 3.50/3.71 (Or
% 3.50/3.71 (Not
% 3.50/3.71 (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))))
% 3.50/3.71 (Not q))
% 3.50/3.71 (Not s))
% 3.50/3.71 (Not t) →
% 3.50/3.71 Or
% 3.50/3.71 (Not
% 3.50/3.71 (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))
% 3.50/3.71 q))
% 3.50/3.71 (Not (And s t)))
% 3.50/3.71 False
% 3.50/3.71 Clause #2 (by clausification #[1]): Eq
% 3.50/3.71 (Or
% 3.50/3.71 (Or
% 3.50/3.71 (Or
% 3.50/3.71 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))))
% 3.50/3.71 (Not q))
% 3.50/3.71 (Not s))
% 3.50/3.71 (Not t))
% 3.50/3.71 True
% 3.50/3.71 Clause #3 (by clausification #[1]): Eq
% 3.50/3.71 (Or
% 3.50/3.71 (Not
% 3.50/3.71 (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))
% 3.50/3.71 q))
% 3.50/3.71 (Not (And s t)))
% 3.50/3.71 False
% 3.50/3.71 Clause #4 (by clausification #[2]): Or
% 3.50/3.71 (Eq
% 3.50/3.71 (Or
% 3.50/3.71 (Or
% 3.50/3.71 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))))
% 3.50/3.71 (Not q))
% 3.50/3.71 (Not s))
% 3.50/3.71 True)
% 3.50/3.71 (Eq (Not t) True)
% 3.50/3.71 Clause #5 (by clausification #[4]): Or (Eq (Not t) True)
% 3.50/3.71 (Or
% 3.50/3.71 (Eq
% 3.50/3.71 (Or
% 3.50/3.71 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))))
% 3.50/3.71 (Not q))
% 3.50/3.71 True)
% 3.50/3.71 (Eq (Not s) True))
% 3.50/3.71 Clause #6 (by clausification #[5]): Or
% 3.50/3.71 (Eq
% 3.50/3.71 (Or (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))))
% 3.50/3.71 (Not q))
% 3.50/3.71 True)
% 3.50/3.71 (Or (Eq (Not s) True) (Eq t False))
% 3.50/3.71 Clause #7 (by clausification #[6]): Or (Eq (Not s) True)
% 3.50/3.71 (Or (Eq t False)
% 3.50/3.71 (Or
% 3.50/3.71 (Eq
% 3.50/3.71 (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))))
% 3.50/3.71 True)
% 3.50/3.71 (Eq (Not q) True)))
% 3.50/3.71 Clause #8 (by clausification #[7]): Or (Eq t False)
% 3.50/3.71 (Or
% 3.50/3.71 (Eq (Not (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))))
% 3.50/3.71 True)
% 3.50/3.71 (Or (Eq (Not q) True) (Eq s False)))
% 3.50/3.71 Clause #9 (by clausification #[8]): Or (Eq t False)
% 3.50/3.71 (Or (Eq (Not q) True)
% 3.50/3.71 (Or (Eq s False)
% 3.50/3.71 (Eq (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))
% 3.50/3.71 False)))
% 3.50/3.71 Clause #10 (by clausification #[9]): Or (Eq t False)
% 3.50/3.71 (Or (Eq s False)
% 3.50/3.71 (Or
% 3.50/3.71 (Eq (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t)))
% 3.50/3.71 False)
% 3.50/3.71 (Eq q False)))
% 3.50/3.71 Clause #12 (by clausification #[10]): Or (Eq t False)
% 3.50/3.71 (Or (Eq s False)
% 3.50/3.71 (Or (Eq q False) (Eq (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) False)))
% 3.50/3.71 Clause #16 (by clausification #[12]): Or (Eq t False)
% 3.50/3.71 (Or (Eq s False)
% 3.50/3.71 (Or (Eq q False) (Eq (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q) True)))
% 3.50/3.71 Clause #18 (by clausification #[16]): Or (Eq t False)
% 3.50/3.71 (Or (Eq s False) (Or (Eq q False) (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) True)))
% 3.50/3.71 Clause #19 (by clausification #[18]): Or (Eq t False)
% 3.50/3.71 (Or (Eq s False)
% 3.50/3.71 (Or (Eq q False) (Or (Eq (Not (And (Or (Not (And p q)) (Not (And s t))) q)) True) (Eq (Not (And s t)) True))))
% 3.50/3.71 Clause #20 (by clausification #[19]): Or (Eq t False)
% 3.50/3.71 (Or (Eq s False)
% 3.50/3.71 (Or (Eq q False) (Or (Eq (Not (And s t)) True) (Eq (And (Or (Not (And p q)) (Not (And s t))) q) False))))
% 3.50/3.71 Clause #21 (by clausification #[20]): Or (Eq t False)
% 3.50/3.74 (Or (Eq s False) (Or (Eq q False) (Or (Eq (And (Or (Not (And p q)) (Not (And s t))) q) False) (Eq (And s t) False))))
% 3.50/3.74 Clause #22 (by clausification #[21]): Or (Eq t False)
% 3.50/3.74 (Or (Eq s False)
% 3.50/3.74 (Or (Eq q False) (Or (Eq (And s t) False) (Or (Eq (Or (Not (And p q)) (Not (And s t))) False) (Eq q False)))))
% 3.50/3.74 Clause #23 (by clausification #[22]): Or (Eq t False)
% 3.50/3.74 (Or (Eq s False)
% 3.50/3.74 (Or (Eq q False)
% 3.50/3.74 (Or (Eq (Or (Not (And p q)) (Not (And s t))) False) (Or (Eq q False) (Or (Eq s False) (Eq t False))))))
% 3.50/3.74 Clause #25 (by clausification #[23]): Or (Eq t False)
% 3.50/3.74 (Or (Eq s False) (Or (Eq q False) (Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (Not (And p q)) False))))))
% 3.50/3.74 Clause #29 (by clausification #[3]): Eq (Not (And s t)) False
% 3.50/3.74 Clause #30 (by clausification #[3]): Eq
% 3.50/3.74 (Not
% 3.50/3.74 (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) q))
% 3.50/3.74 False
% 3.50/3.74 Clause #31 (by clausification #[29]): Eq (And s t) True
% 3.50/3.74 Clause #32 (by clausification #[31]): Eq t True
% 3.50/3.74 Clause #33 (by clausification #[31]): Eq s True
% 3.50/3.74 Clause #34 (by clausification #[25]): Or (Eq t False)
% 3.50/3.74 (Or (Eq s False) (Or (Eq q False) (Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (And p q) True))))))
% 3.50/3.74 Clause #36 (by clausification #[34]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq p True))))))
% 3.50/3.74 Clause #37 (by eliminate duplicate literals #[36]): Or (Eq t False) (Or (Eq s False) (Or (Eq q False) (Eq p True)))
% 3.50/3.74 Clause #38 (by forward demodulation #[37, 32]): Or (Eq True False) (Or (Eq s False) (Or (Eq q False) (Eq p True)))
% 3.50/3.74 Clause #39 (by clausification #[38]): Or (Eq s False) (Or (Eq q False) (Eq p True))
% 3.50/3.74 Clause #40 (by forward demodulation #[39, 33]): Or (Eq True False) (Or (Eq q False) (Eq p True))
% 3.50/3.74 Clause #41 (by clausification #[40]): Or (Eq q False) (Eq p True)
% 3.50/3.74 Clause #42 (by clausification #[30]): Eq (And (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) q)
% 3.50/3.74 True
% 3.50/3.74 Clause #43 (by clausification #[42]): Eq q True
% 3.50/3.74 Clause #44 (by clausification #[42]): Eq (Or (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) (Not (And s t))) True
% 3.50/3.74 Clause #45 (by backward demodulation #[43, 41]): Or (Eq True False) (Eq p True)
% 3.50/3.74 Clause #46 (by clausification #[45]): Eq p True
% 3.50/3.74 Clause #47 (by clausification #[44]): Or (Eq (Not (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q)) True)
% 3.50/3.74 (Eq (Not (And s t)) True)
% 3.50/3.74 Clause #48 (by clausification #[47]): Or (Eq (Not (And s t)) True) (Eq (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q) False)
% 3.50/3.74 Clause #49 (by clausification #[48]): Or (Eq (And (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) q) False) (Eq (And s t) False)
% 3.50/3.74 Clause #50 (by clausification #[49]): Or (Eq (And s t) False)
% 3.50/3.74 (Or (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) False) (Eq q False))
% 3.50/3.74 Clause #51 (by clausification #[50]): Or (Eq (Or (Not (And (Or (Not (And p q)) (Not (And s t))) q)) (Not (And s t))) False)
% 3.50/3.74 (Or (Eq q False) (Or (Eq s False) (Eq t False)))
% 3.50/3.74 Clause #53 (by clausification #[51]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (Not (And (Or (Not (And p q)) (Not (And s t))) q)) False)))
% 3.50/3.74 Clause #57 (by clausification #[53]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (And (Or (Not (And p q)) (Not (And s t))) q) True)))
% 3.50/3.74 Clause #59 (by clausification #[57]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq (Or (Not (And p q)) (Not (And s t))) True)))
% 3.50/3.74 Clause #60 (by clausification #[59]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (Not (And p q)) True) (Eq (Not (And s t)) True))))
% 3.50/3.74 Clause #61 (by clausification #[60]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (Not (And s t)) True) (Eq (And p q) False))))
% 3.50/3.74 Clause #62 (by clausification #[61]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (And p q) False) (Eq (And s t) False))))
% 3.50/3.74 Clause #63 (by clausification #[62]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq (And s t) False) (Or (Eq p False) (Eq q False)))))
% 3.50/3.74 Clause #64 (by clausification #[63]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Or (Eq p False) (Or (Eq q False) (Or (Eq s False) (Eq t False))))))
% 3.50/3.74 Clause #65 (by eliminate duplicate literals #[64]): Or (Eq q False) (Or (Eq s False) (Or (Eq t False) (Eq p False)))
% 3.50/3.74 Clause #66 (by forward demodulation #[65, 43]): Or (Eq True False) (Or (Eq s False) (Or (Eq t False) (Eq p False)))
% 3.50/3.74 Clause #67 (by clausification #[66]): Or (Eq s False) (Or (Eq t False) (Eq p False))
% 3.50/3.74 Clause #68 (by forward demodulation #[67, 33]): Or (Eq True False) (Or (Eq t False) (Eq p False))
% 3.50/3.74 Clause #69 (by clausification #[68]): Or (Eq t False) (Eq p False)
% 3.50/3.74 Clause #70 (by forward demodulation #[69, 32]): Or (Eq True False) (Eq p False)
% 3.50/3.74 Clause #71 (by clausification #[70]): Eq p False
% 3.50/3.74 Clause #72 (by superposition #[71, 46]): Eq False True
% 3.50/3.74 Clause #73 (by clausification #[72]): False
% 3.50/3.74 SZS output end Proof for theBenchmark.p
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