TSTP Solution File: ALG037+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : Thu Jul 14 18:02:04 EDT 2022
% Result : Theorem 0.66s 0.87s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 104
% Syntax : Number of clauses : 273 ( 180 unt; 63 nHn; 273 RR)
% Number of literals : 540 ( 0 equ; 215 neg)
% Maximal clause size : 20 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(e11,e10),
file('ALG037+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e12,e10),
file('ALG037+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e13,e10),
file('ALG037+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e12,e11),
file('ALG037+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e13,e11),
file('ALG037+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e13,e12),
file('ALG037+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e21,e20),
file('ALG037+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e22,e20),
file('ALG037+1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(e23,e20),
file('ALG037+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e22,e21),
file('ALG037+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(e23,e21),
file('ALG037+1.p',unknown),
[] ).
cnf(37,axiom,
equal(h5(e11),e21),
file('ALG037+1.p',unknown),
[] ).
cnf(38,axiom,
equal(h5(e13),e22),
file('ALG037+1.p',unknown),
[] ).
cnf(53,axiom,
equal(op1(unit1,e10),e10),
file('ALG037+1.p',unknown),
[] ).
cnf(54,axiom,
equal(op1(e10,unit1),e10),
file('ALG037+1.p',unknown),
[] ).
cnf(55,axiom,
equal(op1(unit1,e11),e11),
file('ALG037+1.p',unknown),
[] ).
cnf(56,axiom,
equal(op1(e11,unit1),e11),
file('ALG037+1.p',unknown),
[] ).
cnf(57,axiom,
equal(op1(unit1,e12),e12),
file('ALG037+1.p',unknown),
[] ).
cnf(58,axiom,
equal(op1(e12,unit1),e12),
file('ALG037+1.p',unknown),
[] ).
cnf(59,axiom,
equal(op1(unit1,e13),e13),
file('ALG037+1.p',unknown),
[] ).
cnf(60,axiom,
equal(op1(e13,unit1),e13),
file('ALG037+1.p',unknown),
[] ).
cnf(61,axiom,
equal(op2(unit2,e20),e20),
file('ALG037+1.p',unknown),
[] ).
cnf(63,axiom,
equal(op2(unit2,e21),e21),
file('ALG037+1.p',unknown),
[] ).
cnf(64,axiom,
equal(op2(e21,unit2),e21),
file('ALG037+1.p',unknown),
[] ).
cnf(65,axiom,
equal(op2(unit2,e22),e22),
file('ALG037+1.p',unknown),
[] ).
cnf(66,axiom,
equal(op2(e22,unit2),e22),
file('ALG037+1.p',unknown),
[] ).
cnf(67,axiom,
equal(op2(unit2,e23),e23),
file('ALG037+1.p',unknown),
[] ).
cnf(68,axiom,
equal(op2(e23,unit2),e23),
file('ALG037+1.p',unknown),
[] ).
cnf(69,axiom,
equal(op1(e11,e11),e10),
file('ALG037+1.p',unknown),
[] ).
cnf(70,axiom,
equal(op1(e13,e11),e12),
file('ALG037+1.p',unknown),
[] ).
cnf(71,axiom,
equal(op2(e21,e21),e20),
file('ALG037+1.p',unknown),
[] ).
cnf(72,axiom,
equal(op2(e23,e21),e22),
file('ALG037+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ equal(h5(e10),e20)
| skC18 ),
file('ALG037+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ equal(h5(e11),e21)
| skC19 ),
file('ALG037+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ equal(h5(e13),e22)
| skC20 ),
file('ALG037+1.p',unknown),
[] ).
cnf(217,axiom,
equal(op2(e20,e20),h1(e10)),
file('ALG037+1.p',unknown),
[] ).
cnf(218,axiom,
equal(op2(e21,e20),h1(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(220,axiom,
equal(op2(e22,e20),h2(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(222,axiom,
equal(op2(e23,e20),h3(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(224,axiom,
equal(op2(e20,e21),h4(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(225,axiom,
equal(op2(e21,e21),h5(e10)),
file('ALG037+1.p',unknown),
[] ).
cnf(226,axiom,
equal(op2(e22,e21),h5(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(229,axiom,
equal(op2(e22,e22),h7(e10)),
file('ALG037+1.p',unknown),
[] ).
cnf(230,axiom,
equal(op2(e20,e22),h7(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(232,axiom,
equal(op2(e21,e22),h8(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(234,axiom,
equal(op2(e23,e22),h9(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(235,axiom,
equal(op2(e23,e23),h10(e10)),
file('ALG037+1.p',unknown),
[] ).
cnf(236,axiom,
equal(op2(e20,e23),h10(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(238,axiom,
equal(op2(e21,e23),h11(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(240,axiom,
equal(op2(e22,e23),h12(e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(241,axiom,
( ~ skC0
| equal(op1(e10,e10),e10) ),
file('ALG037+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ skC0
| equal(op1(e12,e12),e10) ),
file('ALG037+1.p',unknown),
[] ).
cnf(244,axiom,
( ~ skC0
| equal(op1(e13,e13),e10) ),
file('ALG037+1.p',unknown),
[] ).
cnf(246,axiom,
( ~ skC1
| equal(op1(e11,e11),e11) ),
file('ALG037+1.p',unknown),
[] ).
cnf(250,axiom,
( ~ skC2
| equal(op1(e11,e11),e12) ),
file('ALG037+1.p',unknown),
[] ).
cnf(253,axiom,
( ~ skC3
| equal(op2(e20,e20),e20) ),
file('ALG037+1.p',unknown),
[] ).
cnf(255,axiom,
( ~ skC3
| equal(op2(e22,e22),e20) ),
file('ALG037+1.p',unknown),
[] ).
cnf(256,axiom,
( ~ skC3
| equal(op2(e23,e23),e20) ),
file('ALG037+1.p',unknown),
[] ).
cnf(258,axiom,
( ~ skC4
| equal(op2(e21,e21),e21) ),
file('ALG037+1.p',unknown),
[] ).
cnf(262,axiom,
( ~ skC5
| equal(op2(e21,e21),e22) ),
file('ALG037+1.p',unknown),
[] ).
cnf(273,axiom,
~ equal(op1(e13,e11),op1(e10,e11)),
file('ALG037+1.p',unknown),
[] ).
cnf(283,axiom,
~ equal(op1(e11,e13),op1(e10,e13)),
file('ALG037+1.p',unknown),
[] ).
cnf(284,axiom,
~ equal(op1(e12,e13),op1(e10,e13)),
file('ALG037+1.p',unknown),
[] ).
cnf(286,axiom,
~ equal(op1(e12,e13),op1(e11,e13)),
file('ALG037+1.p',unknown),
[] ).
cnf(299,axiom,
~ equal(op1(e11,e13),op1(e11,e11)),
file('ALG037+1.p',unknown),
[] ).
cnf(300,axiom,
~ equal(op1(e11,e13),op1(e11,e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(303,axiom,
~ equal(op1(e12,e13),op1(e12,e10)),
file('ALG037+1.p',unknown),
[] ).
cnf(306,axiom,
~ equal(op1(e12,e13),op1(e12,e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(308,axiom,
~ equal(op1(e13,e12),op1(e13,e10)),
file('ALG037+1.p',unknown),
[] ).
cnf(310,axiom,
~ equal(op1(e13,e12),op1(e13,e11)),
file('ALG037+1.p',unknown),
[] ).
cnf(312,axiom,
~ equal(op1(e13,e13),op1(e13,e12)),
file('ALG037+1.p',unknown),
[] ).
cnf(316,axiom,
~ equal(op2(e22,e20),op2(e21,e20)),
file('ALG037+1.p',unknown),
[] ).
cnf(317,axiom,
~ equal(op2(e23,e20),op2(e21,e20)),
file('ALG037+1.p',unknown),
[] ).
cnf(320,axiom,
~ equal(op2(e22,e21),op2(e20,e21)),
file('ALG037+1.p',unknown),
[] ).
cnf(324,axiom,
~ equal(op2(e22,e21),op2(e23,e21)),
file('ALG037+1.p',unknown),
[] ).
cnf(325,axiom,
~ equal(op2(e21,e22),op2(e20,e22)),
file('ALG037+1.p',unknown),
[] ).
cnf(331,axiom,
~ equal(op2(e21,e23),op2(e20,e23)),
file('ALG037+1.p',unknown),
[] ).
cnf(343,axiom,
~ equal(op2(e21,e21),op2(e21,e20)),
file('ALG037+1.p',unknown),
[] ).
cnf(344,axiom,
~ equal(op2(e21,e22),op2(e21,e20)),
file('ALG037+1.p',unknown),
[] ).
cnf(345,axiom,
~ equal(op2(e21,e23),op2(e21,e20)),
file('ALG037+1.p',unknown),
[] ).
cnf(346,axiom,
~ equal(op2(e21,e22),op2(e21,e21)),
file('ALG037+1.p',unknown),
[] ).
cnf(347,axiom,
~ equal(op2(e21,e23),op2(e21,e21)),
file('ALG037+1.p',unknown),
[] ).
cnf(350,axiom,
~ equal(op2(e22,e22),op2(e22,e20)),
file('ALG037+1.p',unknown),
[] ).
cnf(352,axiom,
~ equal(op2(e22,e22),op2(e22,e21)),
file('ALG037+1.p',unknown),
[] ).
cnf(358,axiom,
~ equal(op2(e23,e22),op2(e23,e21)),
file('ALG037+1.p',unknown),
[] ).
cnf(362,axiom,
( equal(op1(e11,e11),e13)
| skC0
| skC1
| skC2 ),
file('ALG037+1.p',unknown),
[] ).
cnf(366,axiom,
( equal(op2(e21,e21),e23)
| skC3
| skC4
| skC5 ),
file('ALG037+1.p',unknown),
[] ).
cnf(369,axiom,
( equal(e13,unit1)
| equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
file('ALG037+1.p',unknown),
[] ).
cnf(370,axiom,
( equal(e23,unit2)
| equal(e22,unit2)
| equal(e21,unit2)
| equal(e20,unit2) ),
file('ALG037+1.p',unknown),
[] ).
cnf(376,axiom,
( equal(op2(e23,e20),e21)
| equal(op2(e23,e21),e21)
| equal(op2(e23,e22),e21)
| equal(op2(e23,e23),e21) ),
file('ALG037+1.p',unknown),
[] ).
cnf(384,axiom,
( equal(op2(e22,e20),e21)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e22),e21)
| equal(op2(e22,e23),e21) ),
file('ALG037+1.p',unknown),
[] ).
cnf(409,axiom,
( equal(op2(e22,e21),e20)
| equal(op2(e22,e21),e21)
| equal(op2(e22,e21),e22)
| equal(op2(e22,e21),e23) ),
file('ALG037+1.p',unknown),
[] ).
cnf(411,axiom,
( equal(op2(e21,e23),e20)
| equal(op2(e21,e23),e21)
| equal(op2(e21,e23),e22)
| equal(op2(e21,e23),e23) ),
file('ALG037+1.p',unknown),
[] ).
cnf(412,axiom,
( equal(op2(e21,e22),e20)
| equal(op2(e21,e22),e21)
| equal(op2(e21,e22),e22)
| equal(op2(e21,e22),e23) ),
file('ALG037+1.p',unknown),
[] ).
cnf(419,axiom,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13)
| equal(op1(e13,e13),e13) ),
file('ALG037+1.p',unknown),
[] ).
cnf(427,axiom,
( equal(op1(e10,e12),e13)
| equal(op1(e11,e12),e13)
| equal(op1(e12,e12),e13)
| equal(op1(e13,e12),e13) ),
file('ALG037+1.p',unknown),
[] ).
cnf(435,axiom,
( equal(op1(e10,e11),e13)
| equal(op1(e11,e11),e13)
| equal(op1(e12,e11),e13)
| equal(op1(e13,e11),e13) ),
file('ALG037+1.p',unknown),
[] ).
cnf(438,axiom,
( equal(op1(e11,e10),e12)
| equal(op1(e11,e11),e12)
| equal(op1(e11,e12),e12)
| equal(op1(e11,e13),e12) ),
file('ALG037+1.p',unknown),
[] ).
cnf(440,axiom,
( equal(op1(e11,e10),e11)
| equal(op1(e11,e11),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e11,e13),e11) ),
file('ALG037+1.p',unknown),
[] ).
cnf(446,axiom,
( equal(op1(e10,e10),e12)
| equal(op1(e10,e11),e12)
| equal(op1(e10,e12),e12)
| equal(op1(e10,e13),e12) ),
file('ALG037+1.p',unknown),
[] ).
cnf(452,axiom,
( equal(op1(e13,e12),e10)
| equal(op1(e13,e12),e11)
| equal(op1(e13,e12),e12)
| equal(op1(e13,e12),e13) ),
file('ALG037+1.p',unknown),
[] ).
cnf(455,axiom,
( equal(op1(e12,e13),e10)
| equal(op1(e12,e13),e11)
| equal(op1(e12,e13),e12)
| equal(op1(e12,e13),e13) ),
file('ALG037+1.p',unknown),
[] ).
cnf(459,axiom,
( equal(op1(e11,e13),e10)
| equal(op1(e11,e13),e11)
| equal(op1(e11,e13),e12)
| equal(op1(e11,e13),e13) ),
file('ALG037+1.p',unknown),
[] ).
cnf(496,axiom,
( ~ equal(h5(e12),e23)
| ~ equal(op2(h5(e10),h5(e10)),h5(op1(e10,e10)))
| ~ equal(op2(h5(e10),h5(e11)),h5(op1(e10,e11)))
| ~ equal(op2(h5(e10),h5(e12)),h5(op1(e10,e12)))
| ~ equal(op2(h5(e10),h5(e13)),h5(op1(e10,e13)))
| ~ equal(op2(h5(e11),h5(e10)),h5(op1(e11,e10)))
| ~ equal(op2(h5(e11),h5(e11)),h5(op1(e11,e11)))
| ~ equal(op2(h5(e11),h5(e12)),h5(op1(e11,e12)))
| ~ equal(op2(h5(e11),h5(e13)),h5(op1(e11,e13)))
| ~ equal(op2(h5(e12),h5(e10)),h5(op1(e12,e10)))
| ~ equal(op2(h5(e12),h5(e11)),h5(op1(e12,e11)))
| ~ equal(op2(h5(e12),h5(e12)),h5(op1(e12,e12)))
| ~ equal(op2(h5(e12),h5(e13)),h5(op1(e12,e13)))
| ~ equal(op2(h5(e13),h5(e10)),h5(op1(e13,e10)))
| ~ equal(op2(h5(e13),h5(e11)),h5(op1(e13,e11)))
| ~ equal(op2(h5(e13),h5(e12)),h5(op1(e13,e12)))
| ~ equal(op2(h5(e13),h5(e13)),h5(op1(e13,e13)))
| ~ skC18
| ~ skC19
| ~ skC20 ),
file('ALG037+1.p',unknown),
[] ).
cnf(521,plain,
equal(h5(e10),e20),
inference(rew,[status(thm),theory(equality)],[71,225]),
[iquote('0:Rew:71.0,225.0')] ).
cnf(580,plain,
( ~ equal(e22,e22)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[38,132]),
[iquote('0:Rew:38.0,132.0')] ).
cnf(581,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[580]),
[iquote('0:Obv:580.0')] ).
cnf(583,plain,
( ~ equal(e21,e21)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[37,126]),
[iquote('0:Rew:37.0,126.0')] ).
cnf(584,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[583]),
[iquote('0:Obv:583.0')] ).
cnf(587,plain,
( ~ equal(e20,e20)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[521,121]),
[iquote('0:Rew:521.0,121.0')] ).
cnf(588,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[587]),
[iquote('0:Obv:587.0')] ).
cnf(638,plain,
( ~ skC5
| equal(e22,e20) ),
inference(rew,[status(thm),theory(equality)],[71,262]),
[iquote('0:Rew:71.0,262.1')] ).
cnf(639,plain,
~ skC5,
inference(mrr,[status(thm)],[638,8]),
[iquote('0:MRR:638.1,8.0')] ).
cnf(642,plain,
( ~ skC4
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[71,258]),
[iquote('0:Rew:71.0,258.1')] ).
cnf(643,plain,
~ skC4,
inference(mrr,[status(thm)],[642,7]),
[iquote('0:MRR:642.1,7.0')] ).
cnf(644,plain,
( ~ skC3
| equal(h10(e10),e20) ),
inference(rew,[status(thm),theory(equality)],[235,256]),
[iquote('0:Rew:235.0,256.1')] ).
cnf(645,plain,
( ~ skC3
| equal(h7(e10),e20) ),
inference(rew,[status(thm),theory(equality)],[229,255]),
[iquote('0:Rew:229.0,255.1')] ).
cnf(646,plain,
( ~ skC3
| equal(h1(e10),e20) ),
inference(rew,[status(thm),theory(equality)],[217,253]),
[iquote('0:Rew:217.0,253.1')] ).
cnf(647,plain,
( ~ skC2
| equal(e12,e10) ),
inference(rew,[status(thm),theory(equality)],[69,250]),
[iquote('0:Rew:69.0,250.1')] ).
cnf(648,plain,
~ skC2,
inference(mrr,[status(thm)],[647,2]),
[iquote('0:MRR:647.1,2.0')] ).
cnf(649,plain,
( ~ skC1
| equal(e11,e10) ),
inference(rew,[status(thm),theory(equality)],[69,246]),
[iquote('0:Rew:69.0,246.1')] ).
cnf(650,plain,
~ skC1,
inference(mrr,[status(thm)],[649,1]),
[iquote('0:MRR:649.1,1.0')] ).
cnf(655,plain,
( equal(e23,e20)
| skC3
| skC4
| skC5 ),
inference(rew,[status(thm),theory(equality)],[71,366]),
[iquote('0:Rew:71.0,366.0')] ).
cnf(656,plain,
skC3,
inference(mrr,[status(thm)],[655,9,643,639]),
[iquote('0:MRR:655.0,655.2,655.3,9.0,643.0,639.0')] ).
cnf(657,plain,
equal(h10(e10),e20),
inference(mrr,[status(thm)],[644,656]),
[iquote('0:MRR:644.0,656.0')] ).
cnf(658,plain,
equal(h7(e10),e20),
inference(mrr,[status(thm)],[645,656]),
[iquote('0:MRR:645.0,656.0')] ).
cnf(659,plain,
equal(h1(e10),e20),
inference(mrr,[status(thm)],[646,656]),
[iquote('0:MRR:646.0,656.0')] ).
cnf(660,plain,
equal(op2(e23,e23),e20),
inference(rew,[status(thm),theory(equality)],[657,235]),
[iquote('0:Rew:657.0,235.0')] ).
cnf(669,plain,
equal(op2(e22,e22),e20),
inference(rew,[status(thm),theory(equality)],[658,229]),
[iquote('0:Rew:658.0,229.0')] ).
cnf(676,plain,
equal(op2(e20,e20),e20),
inference(rew,[status(thm),theory(equality)],[659,217]),
[iquote('0:Rew:659.0,217.0')] ).
cnf(689,plain,
( equal(e13,e10)
| skC0
| skC1
| skC2 ),
inference(rew,[status(thm),theory(equality)],[69,362]),
[iquote('0:Rew:69.0,362.0')] ).
cnf(690,plain,
skC0,
inference(mrr,[status(thm)],[689,3,650,648]),
[iquote('0:MRR:689.0,689.2,689.3,3.0,650.0,648.0')] ).
cnf(691,plain,
equal(op1(e13,e13),e10),
inference(mrr,[status(thm)],[244,690]),
[iquote('0:MRR:244.0,690.0')] ).
cnf(692,plain,
equal(op1(e12,e12),e10),
inference(mrr,[status(thm)],[243,690]),
[iquote('0:MRR:243.0,690.0')] ).
cnf(693,plain,
equal(op1(e10,e10),e10),
inference(mrr,[status(thm)],[241,690]),
[iquote('0:MRR:241.0,690.0')] ).
cnf(696,plain,
~ equal(h9(e12),e22),
inference(rew,[status(thm),theory(equality)],[234,358,72]),
[iquote('0:Rew:234.0,358.0,72.0,358.0')] ).
cnf(702,plain,
~ equal(h5(e12),e20),
inference(rew,[status(thm),theory(equality)],[669,352,226]),
[iquote('0:Rew:669.0,352.0,226.0,352.0')] ).
cnf(704,plain,
~ equal(h2(e12),e20),
inference(rew,[status(thm),theory(equality)],[669,350,220]),
[iquote('0:Rew:669.0,350.0,220.0,350.0')] ).
cnf(707,plain,
~ equal(h11(e12),e20),
inference(rew,[status(thm),theory(equality)],[238,347,71]),
[iquote('0:Rew:238.0,347.0,71.0,347.0')] ).
cnf(708,plain,
~ equal(h8(e12),e20),
inference(rew,[status(thm),theory(equality)],[232,346,71]),
[iquote('0:Rew:232.0,346.0,71.0,346.0')] ).
cnf(709,plain,
~ equal(h11(e12),h1(e12)),
inference(rew,[status(thm),theory(equality)],[238,345,218]),
[iquote('0:Rew:238.0,345.0,218.0,345.0')] ).
cnf(710,plain,
~ equal(h8(e12),h1(e12)),
inference(rew,[status(thm),theory(equality)],[232,344,218]),
[iquote('0:Rew:232.0,344.0,218.0,344.0')] ).
cnf(711,plain,
~ equal(h1(e12),e20),
inference(rew,[status(thm),theory(equality)],[71,343,218]),
[iquote('0:Rew:71.0,343.0,218.0,343.0')] ).
cnf(723,plain,
~ equal(h11(e12),h10(e12)),
inference(rew,[status(thm),theory(equality)],[238,331,236]),
[iquote('0:Rew:238.0,331.0,236.0,331.0')] ).
cnf(729,plain,
~ equal(h8(e12),h7(e12)),
inference(rew,[status(thm),theory(equality)],[232,325,230]),
[iquote('0:Rew:232.0,325.0,230.0,325.0')] ).
cnf(730,plain,
~ equal(h5(e12),e22),
inference(rew,[status(thm),theory(equality)],[226,324,72]),
[iquote('0:Rew:226.0,324.0,72.0,324.0')] ).
cnf(734,plain,
~ equal(h5(e12),h4(e12)),
inference(rew,[status(thm),theory(equality)],[226,320,224]),
[iquote('0:Rew:226.0,320.0,224.0,320.0')] ).
cnf(737,plain,
~ equal(h3(e12),h1(e12)),
inference(rew,[status(thm),theory(equality)],[222,317,218]),
[iquote('0:Rew:222.0,317.0,218.0,317.0')] ).
cnf(738,plain,
~ equal(h2(e12),h1(e12)),
inference(rew,[status(thm),theory(equality)],[220,316,218]),
[iquote('0:Rew:220.0,316.0,218.0,316.0')] ).
cnf(742,plain,
~ equal(op1(e13,e12),e10),
inference(rew,[status(thm),theory(equality)],[691,312]),
[iquote('0:Rew:691.0,312.0')] ).
cnf(744,plain,
~ equal(op1(e13,e12),e12),
inference(rew,[status(thm),theory(equality)],[70,310]),
[iquote('0:Rew:70.0,310.0')] ).
cnf(747,plain,
~ equal(op1(e12,e13),e10),
inference(rew,[status(thm),theory(equality)],[692,306]),
[iquote('0:Rew:692.0,306.0')] ).
cnf(750,plain,
~ equal(op1(e11,e13),e10),
inference(rew,[status(thm),theory(equality)],[69,299]),
[iquote('0:Rew:69.0,299.0')] ).
cnf(765,plain,
~ equal(op1(e10,e11),e12),
inference(rew,[status(thm),theory(equality)],[70,273]),
[iquote('0:Rew:70.0,273.0')] ).
cnf(778,plain,
( equal(h3(e12),e21)
| equal(e22,e21)
| equal(h9(e12),e21)
| equal(e21,e20) ),
inference(rew,[status(thm),theory(equality)],[660,376,234,72,222]),
[iquote('0:Rew:660.0,376.3,234.0,376.2,72.0,376.1,222.0,376.0')] ).
cnf(779,plain,
( equal(h9(e12),e21)
| equal(h3(e12),e21) ),
inference(mrr,[status(thm)],[778,10,7]),
[iquote('0:MRR:778.1,778.3,10.0,7.0')] ).
cnf(790,plain,
( equal(h2(e12),e21)
| equal(h5(e12),e21)
| equal(e21,e20)
| equal(h12(e12),e21) ),
inference(rew,[status(thm),theory(equality)],[240,384,669,226,220]),
[iquote('0:Rew:240.0,384.3,669.0,384.2,226.0,384.1,220.0,384.0')] ).
cnf(791,plain,
( equal(h12(e12),e21)
| equal(h5(e12),e21)
| equal(h2(e12),e21) ),
inference(mrr,[status(thm)],[790,7]),
[iquote('0:MRR:790.2,7.0')] ).
cnf(820,plain,
( equal(h5(e12),e20)
| equal(h5(e12),e21)
| equal(h5(e12),e22)
| equal(h5(e12),e23) ),
inference(rew,[status(thm),theory(equality)],[226,409]),
[iquote('0:Rew:226.0,409.3,226.0,409.2,226.0,409.1,226.0,409.0')] ).
cnf(821,plain,
( equal(h5(e12),e23)
| equal(h5(e12),e21) ),
inference(mrr,[status(thm)],[820,702,730]),
[iquote('0:MRR:820.0,820.2,702.0,730.0')] ).
cnf(824,plain,
( equal(h11(e12),e20)
| equal(h11(e12),e21)
| equal(h11(e12),e22)
| equal(h11(e12),e23) ),
inference(rew,[status(thm),theory(equality)],[238,411]),
[iquote('0:Rew:238.0,411.3,238.0,411.2,238.0,411.1,238.0,411.0')] ).
cnf(825,plain,
( equal(h11(e12),e23)
| equal(h11(e12),e22)
| equal(h11(e12),e21) ),
inference(mrr,[status(thm)],[824,707]),
[iquote('0:MRR:824.0,707.0')] ).
cnf(826,plain,
( equal(h8(e12),e20)
| equal(h8(e12),e21)
| equal(h8(e12),e22)
| equal(h8(e12),e23) ),
inference(rew,[status(thm),theory(equality)],[232,412]),
[iquote('0:Rew:232.0,412.3,232.0,412.2,232.0,412.1,232.0,412.0')] ).
cnf(827,plain,
( equal(h8(e12),e23)
| equal(h8(e12),e22)
| equal(h8(e12),e21) ),
inference(mrr,[status(thm)],[826,708]),
[iquote('0:MRR:826.0,708.0')] ).
cnf(836,plain,
( equal(op1(e10,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e12,e13),e13)
| equal(e13,e10) ),
inference(rew,[status(thm),theory(equality)],[691,419]),
[iquote('0:Rew:691.0,419.3')] ).
cnf(837,plain,
( equal(op1(e12,e13),e13)
| equal(op1(e11,e13),e13)
| equal(op1(e10,e13),e13) ),
inference(mrr,[status(thm)],[836,3]),
[iquote('0:MRR:836.3,3.0')] ).
cnf(846,plain,
( equal(op1(e10,e12),e13)
| equal(op1(e11,e12),e13)
| equal(e13,e10)
| equal(op1(e13,e12),e13) ),
inference(rew,[status(thm),theory(equality)],[692,427]),
[iquote('0:Rew:692.0,427.2')] ).
cnf(847,plain,
( equal(op1(e13,e12),e13)
| equal(op1(e11,e12),e13)
| equal(op1(e10,e12),e13) ),
inference(mrr,[status(thm)],[846,3]),
[iquote('0:MRR:846.2,3.0')] ).
cnf(858,plain,
( equal(op1(e10,e11),e13)
| equal(e13,e10)
| equal(op1(e12,e11),e13)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[70,435,69]),
[iquote('0:Rew:70.0,435.3,69.0,435.1')] ).
cnf(859,plain,
( equal(op1(e12,e11),e13)
| equal(op1(e10,e11),e13) ),
inference(mrr,[status(thm)],[858,3,6]),
[iquote('0:MRR:858.1,858.3,3.0,6.0')] ).
cnf(862,plain,
( equal(op1(e11,e10),e12)
| equal(e12,e10)
| equal(op1(e11,e12),e12)
| equal(op1(e11,e13),e12) ),
inference(rew,[status(thm),theory(equality)],[69,438]),
[iquote('0:Rew:69.0,438.1')] ).
cnf(863,plain,
( equal(op1(e11,e12),e12)
| equal(op1(e11,e13),e12)
| equal(op1(e11,e10),e12) ),
inference(mrr,[status(thm)],[862,2]),
[iquote('0:MRR:862.1,2.0')] ).
cnf(866,plain,
( equal(op1(e11,e10),e11)
| equal(e11,e10)
| equal(op1(e11,e12),e11)
| equal(op1(e11,e13),e11) ),
inference(rew,[status(thm),theory(equality)],[69,440]),
[iquote('0:Rew:69.0,440.1')] ).
cnf(867,plain,
( equal(op1(e11,e13),e11)
| equal(op1(e11,e12),e11)
| equal(op1(e11,e10),e11) ),
inference(mrr,[status(thm)],[866,1]),
[iquote('0:MRR:866.1,1.0')] ).
cnf(874,plain,
( equal(e12,e10)
| equal(op1(e10,e11),e12)
| equal(op1(e10,e12),e12)
| equal(op1(e10,e13),e12) ),
inference(rew,[status(thm),theory(equality)],[693,446]),
[iquote('0:Rew:693.0,446.0')] ).
cnf(875,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e10,e13),e12) ),
inference(mrr,[status(thm)],[874,2,765]),
[iquote('0:MRR:874.0,874.1,2.0,765.0')] ).
cnf(880,plain,
( equal(op1(e13,e12),e13)
| equal(op1(e13,e12),e11) ),
inference(mrr,[status(thm)],[452,742,744]),
[iquote('0:MRR:452.0,452.2,742.0,744.0')] ).
cnf(882,plain,
( equal(op1(e12,e13),e13)
| equal(op1(e12,e13),e12)
| equal(op1(e12,e13),e11) ),
inference(mrr,[status(thm)],[455,747]),
[iquote('0:MRR:455.0,747.0')] ).
cnf(885,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e13),e11)
| equal(op1(e11,e13),e12) ),
inference(mrr,[status(thm)],[459,750]),
[iquote('0:MRR:459.0,750.0')] ).
cnf(959,plain,
( ~ equal(h5(e12),e23)
| ~ equal(e20,e20)
| ~ equal(h5(op1(e10,e11)),h4(e12))
| ~ equal(op2(e20,h5(e12)),h5(op1(e10,e12)))
| ~ equal(h5(op1(e10,e13)),h7(e12))
| ~ equal(h5(op1(e11,e10)),h1(e12))
| ~ equal(e20,e20)
| ~ equal(op2(e21,h5(e12)),h5(op1(e11,e12)))
| ~ equal(h5(op1(e11,e13)),h8(e12))
| ~ equal(op2(h5(e12),e20),h5(op1(e12,e10)))
| ~ equal(op2(h5(e12),e21),h5(op1(e12,e11)))
| ~ equal(op2(h5(e12),h5(e12)),e20)
| ~ equal(op2(h5(e12),e22),h5(op1(e12,e13)))
| ~ equal(h5(op1(e13,e10)),h2(e12))
| ~ equal(h5(e12),h5(e12))
| ~ equal(op2(e22,h5(e12)),h5(op1(e13,e12)))
| ~ equal(e20,e20)
| ~ skC18
| ~ skC19
| ~ skC20 ),
inference(rew,[status(thm),theory(equality)],[669,496,38,521,691,226,37,70,220,692,232,71,69,218,230,224,676,693]),
[iquote('0:Rew:669.0,496.16,38.0,496.16,521.0,496.16,691.0,496.16,38.0,496.15,226.0,496.14,38.0,496.14,37.0,496.14,70.0,496.14,220.0,496.13,38.0,496.13,521.0,496.13,38.0,496.12,521.0,496.11,692.0,496.11,37.0,496.10,521.0,496.9,232.0,496.8,37.0,496.8,38.0,496.8,37.0,496.7,71.0,496.6,37.0,496.6,521.0,496.6,69.0,496.6,218.0,496.5,37.0,496.5,521.0,496.5,230.0,496.4,521.0,496.4,38.0,496.4,521.0,496.3,224.0,496.2,521.0,496.2,37.0,496.2,676.0,496.1,521.0,496.1,693.0,496.1')] ).
cnf(960,plain,
( ~ equal(h5(e12),e23)
| ~ equal(h5(op1(e10,e11)),h4(e12))
| ~ equal(op2(e20,h5(e12)),h5(op1(e10,e12)))
| ~ equal(h5(op1(e10,e13)),h7(e12))
| ~ equal(h5(op1(e11,e10)),h1(e12))
| ~ equal(op2(e21,h5(e12)),h5(op1(e11,e12)))
| ~ equal(h5(op1(e11,e13)),h8(e12))
| ~ equal(op2(h5(e12),e20),h5(op1(e12,e10)))
| ~ equal(op2(h5(e12),e21),h5(op1(e12,e11)))
| ~ equal(op2(h5(e12),h5(e12)),e20)
| ~ equal(op2(h5(e12),e22),h5(op1(e12,e13)))
| ~ equal(h5(op1(e13,e10)),h2(e12))
| ~ equal(op2(e22,h5(e12)),h5(op1(e13,e12)))
| ~ skC18
| ~ skC19
| ~ skC20 ),
inference(obv,[status(thm),theory(equality)],[959]),
[iquote('0:Obv:959.16')] ).
cnf(961,plain,
( ~ equal(h5(e12),e23)
| ~ equal(h5(op1(e13,e10)),h2(e12))
| ~ equal(h5(op1(e11,e13)),h8(e12))
| ~ equal(h5(op1(e11,e10)),h1(e12))
| ~ equal(h5(op1(e10,e13)),h7(e12))
| ~ equal(h5(op1(e10,e11)),h4(e12))
| ~ equal(op2(e22,h5(e12)),h5(op1(e13,e12)))
| ~ equal(op2(e21,h5(e12)),h5(op1(e11,e12)))
| ~ equal(op2(e20,h5(e12)),h5(op1(e10,e12)))
| ~ equal(op2(h5(e12),e22),h5(op1(e12,e13)))
| ~ equal(op2(h5(e12),e21),h5(op1(e12,e11)))
| ~ equal(op2(h5(e12),e20),h5(op1(e12,e10)))
| ~ equal(op2(h5(e12),h5(e12)),e20) ),
inference(mrr,[status(thm)],[960,588,584,581]),
[iquote('0:MRR:960.13,960.14,960.15,588.0,584.0,581.0')] ).
cnf(1002,plain,
equal(e12,unit1),
inference(spt,[spt(split,[position(s1)])],[369]),
[iquote('1:Spt:369.1')] ).
cnf(1116,plain,
~ equal(op1(e11,e13),op1(unit1,e13)),
inference(rew,[status(thm),theory(equality)],[1002,286]),
[iquote('1:Rew:1002.0,286.0')] ).
cnf(1136,plain,
~ equal(op1(e11,e13),op1(e11,unit1)),
inference(rew,[status(thm),theory(equality)],[1002,300]),
[iquote('1:Rew:1002.0,300.0')] ).
cnf(1149,plain,
( equal(op1(e10,e12),e12)
| equal(op1(e10,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[1002,875]),
[iquote('1:Rew:1002.0,875.1')] ).
cnf(1150,plain,
( equal(op1(e11,e13),e13)
| equal(op1(e11,e13),e11)
| equal(op1(e11,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[1002,885]),
[iquote('1:Rew:1002.0,885.2')] ).
cnf(1162,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[1002,2]),
[iquote('1:Rew:1002.0,2.0')] ).
cnf(1202,plain,
~ equal(op1(e11,e13),e13),
inference(rew,[status(thm),theory(equality)],[59,1116]),
[iquote('1:Rew:59.0,1116.0')] ).
cnf(1215,plain,
~ equal(op1(e11,e13),e11),
inference(rew,[status(thm),theory(equality)],[56,1136]),
[iquote('1:Rew:56.0,1136.0')] ).
cnf(1223,plain,
( equal(e10,unit1)
| equal(op1(e10,e13),unit1) ),
inference(rew,[status(thm),theory(equality)],[54,1149,1002]),
[iquote('1:Rew:54.0,1149.0,1002.0,1149.0')] ).
cnf(1224,plain,
equal(op1(e10,e13),unit1),
inference(mrr,[status(thm)],[1223,1162]),
[iquote('1:MRR:1223.0,1162.0')] ).
cnf(1226,plain,
~ equal(op1(e11,e13),unit1),
inference(rew,[status(thm),theory(equality)],[1224,283]),
[iquote('1:Rew:1224.0,283.0')] ).
cnf(1273,plain,
$false,
inference(mrr,[status(thm)],[1150,1202,1215,1226]),
[iquote('1:MRR:1150.0,1150.1,1150.2,1202.0,1215.0,1226.0')] ).
cnf(1293,plain,
~ equal(e12,unit1),
inference(spt,[spt(split,[position(sa)])],[1273,1002]),
[iquote('1:Spt:1273.0,369.1,1002.0')] ).
cnf(1294,plain,
( equal(e13,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2)])],[369]),
[iquote('1:Spt:1273.0,369.0,369.2,369.3')] ).
cnf(1295,plain,
equal(e13,unit1),
inference(spt,[spt(split,[position(s2s1)])],[1294]),
[iquote('2:Spt:1294.0')] ).
cnf(1332,plain,
~ equal(e11,unit1),
inference(rew,[status(thm),theory(equality)],[1295,5]),
[iquote('2:Rew:1295.0,5.0')] ).
cnf(1333,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[1295,3]),
[iquote('2:Rew:1295.0,3.0')] ).
cnf(1378,plain,
( equal(op1(e12,e13),e13)
| equal(op1(e11,unit1),unit1)
| equal(op1(e10,e13),e13) ),
inference(rew,[status(thm),theory(equality)],[1295,837]),
[iquote('2:Rew:1295.0,837.1')] ).
cnf(1465,plain,
( equal(e12,unit1)
| equal(e11,unit1)
| equal(e10,unit1) ),
inference(rew,[status(thm),theory(equality)],[54,1378,1295,56,58]),
[iquote('2:Rew:54.0,1378.2,1295.0,1378.2,56.0,1378.1,58.0,1378.0,1295.0,1378.0')] ).
cnf(1466,plain,
$false,
inference(mrr,[status(thm)],[1465,1293,1332,1333]),
[iquote('2:MRR:1465.0,1465.1,1465.2,1293.0,1332.0,1333.0')] ).
cnf(1485,plain,
~ equal(e13,unit1),
inference(spt,[spt(split,[position(s2sa)])],[1466,1295]),
[iquote('2:Spt:1466.0,1294.0,1295.0')] ).
cnf(1486,plain,
( equal(e11,unit1)
| equal(e10,unit1) ),
inference(spt,[spt(split,[position(s2s2)])],[1294]),
[iquote('2:Spt:1466.0,1294.1,1294.2')] ).
cnf(1487,plain,
equal(e11,unit1),
inference(spt,[spt(split,[position(s2s2s1)])],[1486]),
[iquote('3:Spt:1486.0')] ).
cnf(1504,plain,
~ equal(e10,unit1),
inference(rew,[status(thm),theory(equality)],[1487,1]),
[iquote('3:Rew:1487.0,1.0')] ).
cnf(1569,plain,
( equal(op1(e11,e13),e11)
| equal(op1(unit1,e12),unit1)
| equal(op1(e11,e10),e11) ),
inference(rew,[status(thm),theory(equality)],[1487,867]),
[iquote('3:Rew:1487.0,867.1')] ).
cnf(1656,plain,
( equal(e13,unit1)
| equal(e12,unit1)
| equal(e10,unit1) ),
inference(rew,[status(thm),theory(equality)],[53,1569,1487,57,59]),
[iquote('3:Rew:53.0,1569.2,1487.0,1569.2,57.0,1569.1,59.0,1569.0,1487.0,1569.0')] ).
cnf(1657,plain,
$false,
inference(mrr,[status(thm)],[1656,1485,1293,1504]),
[iquote('3:MRR:1656.0,1656.1,1656.2,1485.0,1293.0,1504.0')] ).
cnf(1677,plain,
~ equal(e11,unit1),
inference(spt,[spt(split,[position(s2s2sa)])],[1657,1487]),
[iquote('3:Spt:1657.0,1486.0,1487.0')] ).
cnf(1678,plain,
equal(e10,unit1),
inference(spt,[spt(split,[position(s2s2s2)])],[1486]),
[iquote('3:Spt:1657.0,1486.1')] ).
cnf(1728,plain,
~ equal(op1(e12,e13),e13),
inference(rew,[status(thm),theory(equality)],[59,284,1678]),
[iquote('3:Rew:59.0,284.0,1678.0,284.0')] ).
cnf(1730,plain,
~ equal(op1(e12,e13),e12),
inference(rew,[status(thm),theory(equality)],[58,303,1678]),
[iquote('3:Rew:58.0,303.0,1678.0,303.0')] ).
cnf(1732,plain,
~ equal(op1(e13,e12),e13),
inference(rew,[status(thm),theory(equality)],[60,308,1678]),
[iquote('3:Rew:60.0,308.0,1678.0,308.0')] ).
cnf(1734,plain,
equal(op1(e13,e12),e11),
inference(mrr,[status(thm)],[880,1732]),
[iquote('3:MRR:880.0,1732.0')] ).
cnf(1742,plain,
( equal(op1(e12,e11),e13)
| equal(e13,e11) ),
inference(rew,[status(thm),theory(equality)],[55,859,1678]),
[iquote('3:Rew:55.0,859.1,1678.0,859.1')] ).
cnf(1743,plain,
equal(op1(e12,e11),e13),
inference(mrr,[status(thm)],[1742,5]),
[iquote('3:MRR:1742.1,5.0')] ).
cnf(1752,plain,
equal(op1(e12,e13),e11),
inference(mrr,[status(thm)],[882,1728,1730]),
[iquote('3:MRR:882.0,882.1,1728.0,1730.0')] ).
cnf(1766,plain,
( equal(e13,e11)
| equal(op1(e11,e12),e13)
| equal(e13,e12) ),
inference(rew,[status(thm),theory(equality)],[57,847,1678,1734]),
[iquote('3:Rew:57.0,847.2,1678.0,847.2,1734.0,847.0')] ).
cnf(1767,plain,
equal(op1(e11,e12),e13),
inference(mrr,[status(thm)],[1766,5,6]),
[iquote('3:MRR:1766.0,1766.2,5.0,6.0')] ).
cnf(1772,plain,
( equal(e13,e12)
| equal(op1(e11,e13),e12)
| equal(e12,e11) ),
inference(rew,[status(thm),theory(equality)],[56,863,1678,1767]),
[iquote('3:Rew:56.0,863.2,1678.0,863.2,1767.0,863.0')] ).
cnf(1773,plain,
equal(op1(e11,e13),e12),
inference(mrr,[status(thm)],[1772,6,4]),
[iquote('3:MRR:1772.0,1772.2,6.0,4.0')] ).
cnf(1788,plain,
( ~ equal(h5(e12),e23)
| ~ equal(h2(e12),e22)
| ~ equal(h8(e12),h5(e12))
| ~ equal(h1(e12),e21)
| ~ equal(h7(e12),e22)
| ~ equal(h4(e12),e21)
| ~ equal(op2(e22,h5(e12)),e21)
| ~ equal(op2(e21,h5(e12)),e22)
| ~ equal(op2(e20,h5(e12)),h5(e12))
| ~ equal(op2(h5(e12),e22),e21)
| ~ equal(op2(h5(e12),e21),e22)
| ~ equal(op2(h5(e12),e20),h5(e12))
| ~ equal(op2(h5(e12),h5(e12)),e20) ),
inference(rew,[status(thm),theory(equality)],[58,961,1678,38,1743,37,1752,57,1767,1734,55,59,56,1773,60]),
[iquote('3:Rew:58.0,961.11,1678.0,961.11,38.0,961.10,1743.0,961.10,37.0,961.9,1752.0,961.9,57.0,961.8,1678.0,961.8,38.0,961.7,1767.0,961.7,37.0,961.6,1734.0,961.6,37.0,961.5,55.0,961.5,1678.0,961.5,38.0,961.4,59.0,961.4,1678.0,961.4,37.0,961.3,56.0,961.3,1678.0,961.3,1773.0,961.2,38.0,961.1,60.0,961.1,1678.0,961.1')] ).
cnf(1798,plain,
equal(e20,unit2),
inference(spt,[spt(split,[position(s2s2s2s1)])],[370]),
[iquote('4:Spt:370.3')] ).
cnf(1805,plain,
equal(op2(e23,e23),unit2),
inference(rew,[status(thm),theory(equality)],[1798,660]),
[iquote('4:Rew:1798.0,660.0')] ).
cnf(1820,plain,
equal(op2(e21,unit2),h1(e12)),
inference(rew,[status(thm),theory(equality)],[1798,218]),
[iquote('4:Rew:1798.0,218.0')] ).
cnf(1821,plain,
equal(op2(e22,unit2),h2(e12)),
inference(rew,[status(thm),theory(equality)],[1798,220]),
[iquote('4:Rew:1798.0,220.0')] ).
cnf(1823,plain,
equal(op2(unit2,e21),h4(e12)),
inference(rew,[status(thm),theory(equality)],[1798,224]),
[iquote('4:Rew:1798.0,224.0')] ).
cnf(1824,plain,
equal(op2(unit2,e22),h7(e12)),
inference(rew,[status(thm),theory(equality)],[1798,230]),
[iquote('4:Rew:1798.0,230.0')] ).
cnf(1825,plain,
equal(op2(unit2,e23),h10(e12)),
inference(rew,[status(thm),theory(equality)],[1798,236]),
[iquote('4:Rew:1798.0,236.0')] ).
cnf(1853,plain,
( ~ equal(h5(e12),e23)
| ~ equal(h2(e12),e22)
| ~ equal(h8(e12),h5(e12))
| ~ equal(h1(e12),e21)
| ~ equal(h7(e12),e22)
| ~ equal(h4(e12),e21)
| ~ equal(op2(e22,h5(e12)),e21)
| ~ equal(op2(e21,h5(e12)),e22)
| ~ equal(op2(unit2,h5(e12)),h5(e12))
| ~ equal(op2(h5(e12),e22),e21)
| ~ equal(op2(h5(e12),e21),e22)
| ~ equal(op2(h5(e12),e20),h5(e12))
| ~ equal(op2(h5(e12),h5(e12)),e20) ),
inference(rew,[status(thm),theory(equality)],[1798,1788]),
[iquote('4:Rew:1798.0,1788.8')] ).
cnf(1858,plain,
equal(h1(e12),e21),
inference(rew,[status(thm),theory(equality)],[64,1820]),
[iquote('4:Rew:64.0,1820.0')] ).
cnf(1859,plain,
~ equal(h2(e12),e21),
inference(rew,[status(thm),theory(equality)],[1858,738]),
[iquote('4:Rew:1858.0,738.0')] ).
cnf(1860,plain,
~ equal(h3(e12),e21),
inference(rew,[status(thm),theory(equality)],[1858,737]),
[iquote('4:Rew:1858.0,737.0')] ).
cnf(1861,plain,
~ equal(h8(e12),e21),
inference(rew,[status(thm),theory(equality)],[1858,710]),
[iquote('4:Rew:1858.0,710.0')] ).
cnf(1862,plain,
~ equal(h11(e12),e21),
inference(rew,[status(thm),theory(equality)],[1858,709]),
[iquote('4:Rew:1858.0,709.0')] ).
cnf(1871,plain,
( equal(h12(e12),e21)
| equal(h5(e12),e21) ),
inference(mrr,[status(thm)],[791,1859]),
[iquote('4:MRR:791.2,1859.0')] ).
cnf(1873,plain,
equal(h9(e12),e21),
inference(mrr,[status(thm)],[779,1860]),
[iquote('4:MRR:779.1,1860.0')] ).
cnf(1882,plain,
equal(op2(e23,e22),e21),
inference(rew,[status(thm),theory(equality)],[1873,234]),
[iquote('4:Rew:1873.0,234.0')] ).
cnf(1886,plain,
( equal(h8(e12),e23)
| equal(h8(e12),e22) ),
inference(mrr,[status(thm)],[827,1861]),
[iquote('4:MRR:827.2,1861.0')] ).
cnf(1887,plain,
( equal(h11(e12),e23)
| equal(h11(e12),e22) ),
inference(mrr,[status(thm)],[825,1862]),
[iquote('4:MRR:825.2,1862.0')] ).
cnf(1894,plain,
equal(h2(e12),e22),
inference(rew,[status(thm),theory(equality)],[66,1821]),
[iquote('4:Rew:66.0,1821.0')] ).
cnf(1903,plain,
equal(h4(e12),e21),
inference(rew,[status(thm),theory(equality)],[63,1823]),
[iquote('4:Rew:63.0,1823.0')] ).
cnf(1905,plain,
~ equal(h5(e12),e21),
inference(rew,[status(thm),theory(equality)],[1903,734]),
[iquote('4:Rew:1903.0,734.0')] ).
cnf(1911,plain,
equal(h5(e12),e23),
inference(mrr,[status(thm)],[821,1905]),
[iquote('4:MRR:821.1,1905.0')] ).
cnf(1919,plain,
equal(h7(e12),e22),
inference(rew,[status(thm),theory(equality)],[65,1824]),
[iquote('4:Rew:65.0,1824.0')] ).
cnf(1920,plain,
~ equal(h8(e12),e22),
inference(rew,[status(thm),theory(equality)],[1919,729]),
[iquote('4:Rew:1919.0,729.0')] ).
cnf(1924,plain,
equal(h10(e12),e23),
inference(rew,[status(thm),theory(equality)],[67,1825]),
[iquote('4:Rew:67.0,1825.0')] ).
cnf(1925,plain,
~ equal(h11(e12),e23),
inference(rew,[status(thm),theory(equality)],[1924,723]),
[iquote('4:Rew:1924.0,723.0')] ).
cnf(1930,plain,
( equal(h12(e12),e21)
| equal(e23,e21) ),
inference(rew,[status(thm),theory(equality)],[1911,1871]),
[iquote('4:Rew:1911.0,1871.1')] ).
cnf(1931,plain,
equal(h12(e12),e21),
inference(mrr,[status(thm)],[1930,11]),
[iquote('4:MRR:1930.1,11.0')] ).
cnf(1933,plain,
equal(op2(e22,e23),e21),
inference(rew,[status(thm),theory(equality)],[1931,240]),
[iquote('4:Rew:1931.0,240.0')] ).
cnf(1939,plain,
equal(h8(e12),e23),
inference(mrr,[status(thm)],[1886,1920]),
[iquote('4:MRR:1886.1,1920.0')] ).
cnf(1945,plain,
equal(h11(e12),e22),
inference(mrr,[status(thm)],[1887,1925]),
[iquote('4:MRR:1887.0,1925.0')] ).
cnf(1946,plain,
equal(op2(e21,e23),e22),
inference(rew,[status(thm),theory(equality)],[1945,238]),
[iquote('4:Rew:1945.0,238.0')] ).
cnf(1977,plain,
( ~ equal(e23,e23)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e21,e21)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(e21,e21)
| ~ equal(e22,e22)
| ~ equal(e23,e23)
| ~ equal(unit2,unit2) ),
inference(rew,[status(thm),theory(equality)],[1805,1853,1911,1798,68,72,1882,67,1946,1933,1903,1919,1858,1939,1894]),
[iquote('4:Rew:1805.0,1853.12,1911.0,1853.12,1798.0,1853.12,68.0,1853.11,1798.0,1853.11,1911.0,1853.11,72.0,1853.10,1911.0,1853.10,1882.0,1853.9,1911.0,1853.9,67.0,1853.8,1911.0,1853.8,1946.0,1853.7,1911.0,1853.7,1933.0,1853.6,1911.0,1853.6,1903.0,1853.5,1919.0,1853.4,1858.0,1853.3,1939.0,1853.2,1911.0,1853.2,1894.0,1853.1,1911.0,1853.0')] ).
cnf(1978,plain,
$false,
inference(obv,[status(thm),theory(equality)],[1977]),
[iquote('4:Obv:1977.12')] ).
cnf(1979,plain,
~ equal(e20,unit2),
inference(spt,[spt(split,[position(s2s2s2sa)])],[1978,1798]),
[iquote('4:Spt:1978.0,370.3,1798.0')] ).
cnf(1980,plain,
( equal(e23,unit2)
| equal(e22,unit2)
| equal(e21,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2)])],[370]),
[iquote('4:Spt:1978.0,370.0,370.1,370.2')] ).
cnf(1981,plain,
equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[1980]),
[iquote('5:Spt:1980.0')] ).
cnf(2001,plain,
equal(op2(unit2,e22),h9(e12)),
inference(rew,[status(thm),theory(equality)],[1981,234]),
[iquote('5:Rew:1981.0,234.0')] ).
cnf(2043,plain,
equal(h9(e12),e22),
inference(rew,[status(thm),theory(equality)],[65,2001]),
[iquote('5:Rew:65.0,2001.0')] ).
cnf(2044,plain,
$false,
inference(mrr,[status(thm)],[2043,696]),
[iquote('5:MRR:2043.0,696.0')] ).
cnf(2155,plain,
~ equal(e23,unit2),
inference(spt,[spt(split,[position(s2s2s2s2sa)])],[2044,1981]),
[iquote('5:Spt:2044.0,1980.0,1981.0')] ).
cnf(2156,plain,
( equal(e22,unit2)
| equal(e21,unit2) ),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[1980]),
[iquote('5:Spt:2044.0,1980.1,1980.2')] ).
cnf(2157,plain,
equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[2156]),
[iquote('6:Spt:2156.0')] ).
cnf(2196,plain,
equal(op2(unit2,e20),h2(e12)),
inference(rew,[status(thm),theory(equality)],[2157,220]),
[iquote('6:Rew:2157.0,220.0')] ).
cnf(2264,plain,
equal(h2(e12),e20),
inference(rew,[status(thm),theory(equality)],[61,2196]),
[iquote('6:Rew:61.0,2196.0')] ).
cnf(2265,plain,
$false,
inference(mrr,[status(thm)],[2264,704]),
[iquote('6:MRR:2264.0,704.0')] ).
cnf(2329,plain,
~ equal(e22,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[2265,2157]),
[iquote('6:Spt:2265.0,2156.0,2157.0')] ).
cnf(2330,plain,
equal(e21,unit2),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[2156]),
[iquote('6:Spt:2265.0,2156.1')] ).
cnf(2366,plain,
equal(h1(e12),e20),
inference(rew,[status(thm),theory(equality)],[61,218,2330]),
[iquote('6:Rew:61.0,218.0,2330.0,218.0')] ).
cnf(2367,plain,
$false,
inference(mrr,[status(thm)],[2366,711]),
[iquote('6:MRR:2366.0,711.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.12/0.35 % Computer : n024.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Wed Jun 8 20:15:34 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.66/0.87
% 0.66/0.87 SPASS V 3.9
% 0.66/0.87 SPASS beiseite: Proof found.
% 0.66/0.87 % SZS status Theorem
% 0.66/0.87 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.87 SPASS derived 959 clauses, backtracked 763 clauses, performed 6 splits and kept 1530 clauses.
% 0.66/0.87 SPASS allocated 88098 KBytes.
% 0.66/0.87 SPASS spent 0:00:00.52 on the problem.
% 0.66/0.87 0:00:00.04 for the input.
% 0.66/0.87 0:00:00.16 for the FLOTTER CNF translation.
% 0.66/0.87 0:00:00.00 for inferences.
% 0.66/0.87 0:00:00.00 for the backtracking.
% 0.66/0.87 0:00:00.27 for the reduction.
% 0.66/0.87
% 0.66/0.87
% 0.66/0.87 Here is a proof with depth 3, length 273 :
% 0.66/0.87 % SZS output start Refutation
% See solution above
% 0.66/0.88 Formulae used in the proof : ax9 ax10 ax20 ax2 ax5 ax14 ax15 co1 ax16 ax17 ax18 ax19 ax22 ax23 ax24 ax25 ax26 ax27 ax12 ax13 ax7 ax8 ax6 ax4 ax3 ax1
% 0.66/0.88
%------------------------------------------------------------------------------