TSTP Solution File: SWC184-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC184-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:11:30 EDT 2024
% Result : Unsatisfiable 279.23s 37.15s
% Output : CNFRefutation 279.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 69
% Syntax : Number of clauses : 368 ( 86 unt; 29 nHn; 344 RR)
% Number of literals : 1056 ( 317 equ; 677 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 341 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
cnf(c_52,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_61,negated_conjecture,
( sk3 = nil
| ssItem(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_63,negated_conjecture,
( sk4 = nil
| memberP(sk4,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(c_65,negated_conjecture,
( cons(sk8,nil) = sk3
| sk3 = nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(c_66,negated_conjecture,
( sk3 = nil
| memberP(sk4,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(c_75,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_115,plain,
ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause48) ).
cnf(c_116,plain,
ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause49) ).
cnf(c_117,plain,
ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(c_118,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_123,plain,
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
cnf(c_124,plain,
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).
cnf(c_125,plain,
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(c_126,plain,
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
cnf(c_128,plain,
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(c_138,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_139,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_140,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(c_141,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_144,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_146,plain,
( X0 != nil
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).
cnf(c_147,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
cnf(c_151,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(c_152,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_153,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_164,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_165,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(c_185,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(c_186,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(c_187,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(c_190,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| hd(app(X1,X0)) = hd(X1)
| X1 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(c_194,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause127) ).
cnf(c_195,plain,
( ~ rearsegP(X0,X1)
| ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause128) ).
cnf(c_196,plain,
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).
cnf(c_198,plain,
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(c_199,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(c_203,plain,
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause136) ).
cnf(c_204,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
cnf(c_207,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
cnf(c_210,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(c_211,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(c_216,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(c_217,plain,
( app(X0,X1) != app(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(c_218,plain,
( app(X0,X1) != app(X2,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(c_219,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
cnf(c_220,plain,
( ~ rearsegP(X0,X1)
| ~ rearsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause153) ).
cnf(c_221,plain,
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause154) ).
cnf(c_228,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(c_235,plain,
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause168) ).
cnf(c_239,plain,
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause172) ).
cnf(c_240,plain,
( app(app(X0,X1),X2) != X3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(c_242,plain,
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(c_246,plain,
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(c_255,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(unflattening,[status(thm)],[c_146]) ).
cnf(c_262,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_211]) ).
cnf(c_263,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(unflattening,[status(thm)],[c_210]) ).
cnf(c_266,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(unflattening,[status(thm)],[c_242]) ).
cnf(c_267,plain,
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(unflattening,[status(thm)],[c_240]) ).
cnf(c_269,plain,
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
inference(unflattening,[status(thm)],[c_246]) ).
cnf(c_319,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_320,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_321,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_337,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| nil = nil ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_393,plain,
segmentP(nil,nil),
inference(global_subsumption_just,[status(thm)],[c_255,c_75,c_321]) ).
cnf(c_673,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_262,c_152]) ).
cnf(c_674,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_263,c_152]) ).
cnf(c_1725,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(light_normalisation,[status(thm)],[c_58,c_54]) ).
cnf(c_6477,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_139]) ).
cnf(c_6478,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_139]) ).
cnf(c_6479,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_139]) ).
cnf(c_6480,plain,
X0 = X0,
theory(equality) ).
cnf(c_6482,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_6483,plain,
( X0 != X1
| ~ ssList(X1)
| ssList(X0) ),
theory(equality) ).
cnf(c_6484,plain,
( X0 != X1
| ~ ssItem(X1)
| ssItem(X0) ),
theory(equality) ).
cnf(c_6485,plain,
( X0 != X1
| X2 != X3
| cons(X0,X2) = cons(X1,X3) ),
theory(equality) ).
cnf(c_6487,plain,
( X0 != X1
| X2 != X3
| ~ memberP(X1,X3)
| memberP(X0,X2) ),
theory(equality) ).
cnf(c_6497,plain,
( X0 != X1
| X2 != X3
| ~ segmentP(X1,X3)
| segmentP(X0,X2) ),
theory(equality) ).
cnf(c_6498,plain,
( X0 != X1
| X2 != X3
| ~ rearsegP(X1,X3)
| rearsegP(X0,X2) ),
theory(equality) ).
cnf(c_6499,plain,
( X0 != X1
| X2 != X3
| ~ frontsegP(X1,X3)
| frontsegP(X0,X2) ),
theory(equality) ).
cnf(c_9078,plain,
( ~ segmentP(nil,cons(X0,X1))
| ~ ssList(cons(X0,X1))
| cons(X0,X1) = nil ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_9145,plain,
( X0 != sk6
| X1 != sk5
| ~ memberP(sk6,sk5)
| memberP(X0,X1) ),
inference(instantiation,[status(thm)],[c_6487]) ).
cnf(c_9202,plain,
( ~ ssList(cons(X0,X1))
| ~ ssList(X2)
| ssList(app(X2,cons(X0,X1))) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_9216,plain,
( ~ memberP(app(sk6,X0),sk5)
| ~ ssList(app(sk6,X0))
| ~ ssList(X1)
| ~ ssItem(sk5)
| memberP(app(app(sk6,X0),X1),sk5) ),
inference(instantiation,[status(thm)],[c_207]) ).
cnf(c_9239,plain,
( X0 != sk7
| X1 != sk5
| ~ memberP(sk7,sk5)
| memberP(X0,X1) ),
inference(instantiation,[status(thm)],[c_6487]) ).
cnf(c_9568,plain,
( ~ ssList(X0)
| ~ ssItem(sk5)
| ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_9569,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_9568]) ).
cnf(c_9612,plain,
app(sk6,nil) = sk6,
inference(superposition,[status(thm)],[c_56,c_140]) ).
cnf(c_9613,plain,
app(sk7,nil) = sk7,
inference(superposition,[status(thm)],[c_57,c_140]) ).
cnf(c_9669,plain,
( X0 != sk5
| ~ ssItem(sk5)
| ssItem(X0) ),
inference(instantiation,[status(thm)],[c_6484]) ).
cnf(c_10253,plain,
( ~ ssList(cons(sk5,X0))
| ~ ssList(X1)
| ssList(app(X1,cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_9202]) ).
cnf(c_10256,plain,
( ~ segmentP(nil,cons(sk5,X0))
| ~ ssList(cons(sk5,X0))
| cons(sk5,X0) = nil ),
inference(instantiation,[status(thm)],[c_9078]) ).
cnf(c_10261,plain,
( ~ segmentP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| cons(sk5,nil) = nil ),
inference(instantiation,[status(thm)],[c_10256]) ).
cnf(c_10264,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(nil)
| ssList(app(nil,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_10253]) ).
cnf(c_10294,plain,
( ~ ssList(sk6)
| ~ ssList(nil)
| rearsegP(sk6,nil) ),
inference(superposition,[status(thm)],[c_9612,c_674]) ).
cnf(c_10296,plain,
( ~ ssList(sk7)
| ~ ssList(nil)
| rearsegP(sk7,nil) ),
inference(superposition,[status(thm)],[c_9613,c_674]) ).
cnf(c_10311,plain,
rearsegP(sk7,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10296,c_75,c_57]) ).
cnf(c_10313,plain,
rearsegP(sk6,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10294,c_75,c_56]) ).
cnf(c_10490,plain,
( ~ ssList(X0)
| hd(cons(sk5,X0)) = sk5 ),
inference(superposition,[status(thm)],[c_55,c_164]) ).
cnf(c_10514,plain,
( ~ ssList(nil)
| hd(cons(sk5,nil)) = sk5 ),
inference(instantiation,[status(thm)],[c_10490]) ).
cnf(c_10555,plain,
( hd(cons(sk5,X0)) != sk5
| ~ ssItem(sk5)
| ssItem(hd(cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_9669]) ).
cnf(c_10557,plain,
( hd(cons(sk5,nil)) != sk5
| ~ ssItem(sk5)
| ssItem(hd(cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_10555]) ).
cnf(c_11153,plain,
( X0 != sk6
| sk5 != sk5
| ~ memberP(sk6,sk5)
| memberP(X0,sk5) ),
inference(instantiation,[status(thm)],[c_9145]) ).
cnf(c_11154,plain,
sk5 = sk5,
inference(instantiation,[status(thm)],[c_6480]) ).
cnf(c_11155,plain,
( sk5 != sk5
| nil != sk6
| ~ memberP(sk6,sk5)
| memberP(nil,sk5) ),
inference(instantiation,[status(thm)],[c_11153]) ).
cnf(c_11168,plain,
( ~ ssList(X0)
| ~ ssList(sk6)
| ssList(app(sk6,X0)) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_11813,plain,
( ~ ssList(sk3)
| ssList(app(app(sk6,cons(sk5,nil)),sk7)) ),
inference(resolution,[status(thm)],[c_6483,c_1725]) ).
cnf(c_14439,plain,
app(nil,sk6) = sk6,
inference(superposition,[status(thm)],[c_56,c_141]) ).
cnf(c_14440,plain,
app(nil,sk7) = sk7,
inference(superposition,[status(thm)],[c_57,c_141]) ).
cnf(c_14599,plain,
( ~ ssList(sk6)
| ~ ssList(nil)
| frontsegP(sk6,nil) ),
inference(superposition,[status(thm)],[c_14439,c_673]) ).
cnf(c_14601,plain,
( ~ ssList(sk7)
| ~ ssList(nil)
| frontsegP(sk7,nil) ),
inference(superposition,[status(thm)],[c_14440,c_673]) ).
cnf(c_14610,plain,
frontsegP(sk7,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_14601,c_75,c_57]) ).
cnf(c_14612,plain,
frontsegP(sk6,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_14599,c_75,c_56]) ).
cnf(c_15355,plain,
( ~ frontsegP(nil,sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| sk6 = nil ),
inference(superposition,[status(thm)],[c_14612,c_196]) ).
cnf(c_15357,plain,
( ~ frontsegP(nil,sk7)
| ~ ssList(sk7)
| ~ ssList(nil)
| sk7 = nil ),
inference(superposition,[status(thm)],[c_14610,c_196]) ).
cnf(c_15364,plain,
( ~ frontsegP(nil,sk7)
| sk7 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_15357,c_75,c_57]) ).
cnf(c_15365,plain,
( ~ frontsegP(nil,sk6)
| sk6 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_15355,c_75,c_56]) ).
cnf(c_16723,plain,
( ~ ssList(app(sk6,cons(sk5,X0)))
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| memberP(app(sk6,cons(sk5,X0)),sk5) ),
inference(instantiation,[status(thm)],[c_266]) ).
cnf(c_16725,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ ssItem(sk5)
| memberP(app(sk6,cons(sk5,nil)),sk5) ),
inference(instantiation,[status(thm)],[c_16723]) ).
cnf(c_18201,plain,
( hd(cons(sk5,X0)) != sk5
| X1 != sk7
| ~ memberP(sk7,sk5)
| memberP(X1,hd(cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_9239]) ).
cnf(c_18204,plain,
( hd(cons(sk5,nil)) != sk5
| nil != sk7
| ~ memberP(sk7,sk5)
| memberP(nil,hd(cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_18201]) ).
cnf(c_18232,plain,
( ~ memberP(nil,sk5)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_18310,plain,
( cons(sk5,X0) != nil
| ~ ssList(X0)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_18311,plain,
( cons(sk5,nil) != nil
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_18310]) ).
cnf(c_18371,plain,
( ~ ssList(app(X0,cons(sk5,X1)))
| ~ ssList(cons(sk5,X2))
| ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2))) ),
inference(instantiation,[status(thm)],[c_10253]) ).
cnf(c_18372,plain,
( ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_18373,plain,
( ~ ssList(app(nil,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_18371]) ).
cnf(c_18374,plain,
( ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_18372]) ).
cnf(c_18724,plain,
( X0 != X1
| sk5 != X1
| sk5 = X0 ),
inference(instantiation,[status(thm)],[c_6482]) ).
cnf(c_19153,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_6482,c_6480]) ).
cnf(c_19792,plain,
( ~ ssList(cons(sk5,X0))
| ~ ssList(sk6)
| ssList(app(sk6,cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_11168]) ).
cnf(c_19793,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ssList(app(sk6,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_19792]) ).
cnf(c_21869,plain,
( ~ rearsegP(X0,sk6)
| ~ rearsegP(sk6,X0)
| ~ ssList(X0)
| ~ ssList(sk6)
| X0 = sk6 ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_21876,plain,
( ~ rearsegP(sk6,nil)
| ~ rearsegP(nil,sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| nil = sk6 ),
inference(instantiation,[status(thm)],[c_21869]) ).
cnf(c_21949,plain,
( ~ memberP(app(sk6,X0),sk5)
| ~ ssList(app(sk6,X0))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| memberP(app(app(sk6,X0),sk7),sk5) ),
inference(instantiation,[status(thm)],[c_9216]) ).
cnf(c_27567,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sk7)
| segmentP(sk3,X0) ),
inference(superposition,[status(thm)],[c_1725,c_239]) ).
cnf(c_27612,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27567,c_57,c_56]) ).
cnf(c_27967,plain,
( ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(sk7)
| segmentP(sk3,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_1725,c_267]) ).
cnf(c_28012,plain,
( ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(cons(sk5,nil))
| segmentP(sk3,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27967,c_57,c_56]) ).
cnf(c_29482,plain,
( ~ rearsegP(X0,sk7)
| ~ rearsegP(sk7,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| X0 = sk7 ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_29489,plain,
( ~ rearsegP(sk7,nil)
| ~ rearsegP(nil,sk7)
| ~ ssList(sk7)
| ~ ssList(nil)
| nil = sk7 ),
inference(instantiation,[status(thm)],[c_29482]) ).
cnf(c_33015,plain,
( X0 != sk5
| sk5 != sk5
| sk5 = X0 ),
inference(instantiation,[status(thm)],[c_18724]) ).
cnf(c_33264,plain,
( X0 != X1
| ~ segmentP(X1,nil)
| segmentP(X0,sk3)
| ssItem(sk8) ),
inference(resolution,[status(thm)],[c_6497,c_61]) ).
cnf(c_33265,plain,
( X0 != X1
| ~ segmentP(X1,nil)
| segmentP(X0,sk3)
| memberP(sk4,sk8) ),
inference(resolution,[status(thm)],[c_6497,c_66]) ).
cnf(c_33319,plain,
( X0 != X1
| ~ segmentP(X1,X2)
| segmentP(X0,X2) ),
inference(resolution,[status(thm)],[c_6497,c_6480]) ).
cnf(c_33372,plain,
( X0 != X1
| sk6 != X2
| ~ frontsegP(X1,X2)
| frontsegP(X0,sk6) ),
inference(instantiation,[status(thm)],[c_6499]) ).
cnf(c_33373,plain,
( sk6 != nil
| nil != nil
| ~ frontsegP(nil,nil)
| frontsegP(nil,sk6) ),
inference(instantiation,[status(thm)],[c_33372]) ).
cnf(c_33382,plain,
( X0 != X1
| sk6 != X2
| ~ rearsegP(X1,X2)
| rearsegP(X0,sk6) ),
inference(instantiation,[status(thm)],[c_6498]) ).
cnf(c_33383,plain,
( sk6 != nil
| nil != nil
| ~ rearsegP(nil,nil)
| rearsegP(nil,sk6) ),
inference(instantiation,[status(thm)],[c_33382]) ).
cnf(c_40339,plain,
( hd(cons(sk5,X0)) != sk5
| sk5 != sk5
| sk5 = hd(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_33015]) ).
cnf(c_40340,plain,
( hd(cons(sk5,nil)) != sk5
| sk5 != sk5
| sk5 = hd(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_40339]) ).
cnf(c_42580,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_52,c_140]) ).
cnf(c_46142,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk4)
| ~ ssList(nil)
| segmentP(app(sk4,X1),X0) ),
inference(superposition,[status(thm)],[c_42580,c_239]) ).
cnf(c_46202,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(sk4,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46142,c_75,c_52]) ).
cnf(c_53570,plain,
( X0 != X1
| sk7 != X2
| ~ frontsegP(X1,X2)
| frontsegP(X0,sk7) ),
inference(instantiation,[status(thm)],[c_6499]) ).
cnf(c_53571,plain,
( sk7 != nil
| nil != nil
| ~ frontsegP(nil,nil)
| frontsegP(nil,sk7) ),
inference(instantiation,[status(thm)],[c_53570]) ).
cnf(c_53589,plain,
( X0 != X1
| sk7 != X2
| ~ rearsegP(X1,X2)
| rearsegP(X0,sk7) ),
inference(instantiation,[status(thm)],[c_6498]) ).
cnf(c_53590,plain,
( sk7 != nil
| nil != nil
| ~ rearsegP(nil,nil)
| rearsegP(nil,sk7) ),
inference(instantiation,[status(thm)],[c_53589]) ).
cnf(c_66344,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_42580,c_46202]) ).
cnf(c_66348,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66344,c_75]) ).
cnf(c_66349,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil)
| segmentP(sk4,nil) ),
inference(instantiation,[status(thm)],[c_66348]) ).
cnf(c_83361,plain,
( ~ segmentP(X0,nil)
| segmentP(X0,sk3)
| ssItem(sk8) ),
inference(resolution,[status(thm)],[c_33264,c_6480]) ).
cnf(c_83362,plain,
( ~ segmentP(nil,nil)
| segmentP(nil,sk3)
| ssItem(sk8) ),
inference(instantiation,[status(thm)],[c_83361]) ).
cnf(c_88756,plain,
( ~ memberP(app(sk6,cons(sk5,X0)),sk5)
| ~ ssList(app(sk6,cons(sk5,X0)))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| memberP(app(app(sk6,cons(sk5,X0)),sk7),sk5) ),
inference(instantiation,[status(thm)],[c_21949]) ).
cnf(c_88757,plain,
( ~ memberP(app(sk6,cons(sk5,nil)),sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| memberP(app(app(sk6,cons(sk5,nil)),sk7),sk5) ),
inference(instantiation,[status(thm)],[c_88756]) ).
cnf(c_110593,plain,
( X0 != sk4
| X1 != sk8
| ~ memberP(sk4,sk8)
| memberP(X0,X1) ),
inference(instantiation,[status(thm)],[c_6487]) ).
cnf(c_110847,plain,
( X0 != X1
| sk8 != X1
| X0 = sk8 ),
inference(instantiation,[status(thm)],[c_6482]) ).
cnf(c_110868,plain,
( X0 != app(X1,sk7)
| X2 != sk5
| ~ memberP(app(X1,sk7),sk5)
| memberP(X0,X2) ),
inference(instantiation,[status(thm)],[c_6487]) ).
cnf(c_111019,plain,
( X0 != sk4
| sk8 != sk8
| ~ memberP(sk4,sk8)
| memberP(X0,sk8) ),
inference(instantiation,[status(thm)],[c_110593]) ).
cnf(c_111020,plain,
sk8 = sk8,
inference(instantiation,[status(thm)],[c_6480]) ).
cnf(c_111021,plain,
( nil != sk4
| sk8 != sk8
| ~ memberP(sk4,sk8)
| memberP(nil,sk8) ),
inference(instantiation,[status(thm)],[c_111019]) ).
cnf(c_111035,plain,
( ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2))) ),
inference(instantiation,[status(thm)],[c_6478]) ).
cnf(c_111036,plain,
( ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_111035]) ).
cnf(c_112948,plain,
( ~ memberP(cons(sk8,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sk8)
| sk8 = X1
| memberP(X0,X1) ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_113208,plain,
( X0 != X1
| sk4 != X1
| X0 = sk4 ),
inference(instantiation,[status(thm)],[c_6482]) ).
cnf(c_113209,plain,
( sk4 != nil
| nil != nil
| nil = sk4 ),
inference(instantiation,[status(thm)],[c_113208]) ).
cnf(c_113705,plain,
( hd(cons(sk5,X0)) != sk5
| X1 != app(X2,sk7)
| ~ memberP(app(X2,sk7),sk5)
| memberP(X1,hd(cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_110868]) ).
cnf(c_113777,plain,
( X0 != X1
| sk5 != X2
| cons(sk5,X0) = cons(X2,X1) ),
inference(instantiation,[status(thm)],[c_6485]) ).
cnf(c_115071,plain,
( app(X0,sk7) != X1
| X2 != X1
| X2 = app(X0,sk7) ),
inference(instantiation,[status(thm)],[c_6482]) ).
cnf(c_116624,plain,
( X0 != X1
| sk3 != X1
| X0 = sk3 ),
inference(instantiation,[status(thm)],[c_6482]) ).
cnf(c_116685,plain,
( sk3 != X0
| nil != X1
| ~ segmentP(X1,X0)
| segmentP(nil,sk3) ),
inference(instantiation,[status(thm)],[c_6497]) ).
cnf(c_116686,plain,
( sk3 != nil
| nil != nil
| ~ segmentP(nil,nil)
| segmentP(nil,sk3) ),
inference(instantiation,[status(thm)],[c_116685]) ).
cnf(c_123169,plain,
( X0 != cons(sk8,nil)
| sk3 != cons(sk8,nil)
| X0 = sk3 ),
inference(instantiation,[status(thm)],[c_116624]) ).
cnf(c_127180,plain,
( app(app(sk6,cons(sk5,nil)),sk7) != sk3
| X0 != sk3
| X0 = app(app(sk6,cons(sk5,nil)),sk7) ),
inference(instantiation,[status(thm)],[c_115071]) ).
cnf(c_127581,plain,
( app(app(sk6,cons(sk5,nil)),sk7) != sk3
| cons(sk8,nil) != sk3
| cons(sk8,nil) = app(app(sk6,cons(sk5,nil)),sk7) ),
inference(instantiation,[status(thm)],[c_127180]) ).
cnf(c_127977,plain,
( ~ ssItem(X0)
| ~ ssList(sk7)
| ssList(cons(X0,sk7)) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_132606,plain,
( hd(cons(sk5,X0)) != sk5
| cons(sk8,nil) != app(app(sk6,cons(sk5,nil)),sk7)
| ~ memberP(app(app(sk6,cons(sk5,nil)),sk7),sk5)
| memberP(cons(sk8,nil),hd(cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_113705]) ).
cnf(c_132607,plain,
( hd(cons(sk5,nil)) != sk5
| cons(sk8,nil) != app(app(sk6,cons(sk5,nil)),sk7)
| ~ memberP(app(app(sk6,cons(sk5,nil)),sk7),sk5)
| memberP(cons(sk8,nil),hd(cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_132606]) ).
cnf(c_133448,plain,
( ~ memberP(nil,sk8)
| ~ ssItem(sk8) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_137768,plain,
( ~ memberP(cons(sk8,nil),hd(cons(sk5,X0)))
| ~ ssItem(hd(cons(sk5,X0)))
| ~ ssList(nil)
| ~ ssItem(sk8)
| sk8 = hd(cons(sk5,X0))
| memberP(nil,hd(cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_112948]) ).
cnf(c_137769,plain,
( ~ memberP(cons(sk8,nil),hd(cons(sk5,nil)))
| ~ ssItem(hd(cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssItem(sk8)
| sk8 = hd(cons(sk5,nil))
| memberP(nil,hd(cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_137768]) ).
cnf(c_138739,plain,
( sk5 != X0
| sk8 != X0
| sk5 = sk8 ),
inference(instantiation,[status(thm)],[c_110847]) ).
cnf(c_144065,plain,
( X0 != X1
| sk5 != sk8
| cons(sk5,X0) = cons(sk8,X1) ),
inference(instantiation,[status(thm)],[c_113777]) ).
cnf(c_144068,plain,
( sk5 != sk8
| nil != nil
| cons(sk5,nil) = cons(sk8,nil) ),
inference(instantiation,[status(thm)],[c_144065]) ).
cnf(c_158458,plain,
( sk5 != hd(cons(sk5,X0))
| sk8 != hd(cons(sk5,X0))
| sk5 = sk8 ),
inference(instantiation,[status(thm)],[c_138739]) ).
cnf(c_158459,plain,
( sk5 != hd(cons(sk5,nil))
| sk8 != hd(cons(sk5,nil))
| sk5 = sk8 ),
inference(instantiation,[status(thm)],[c_158458]) ).
cnf(c_164106,plain,
( nil = sk4
| memberP(sk4,sk8) ),
inference(resolution,[status(thm)],[c_19153,c_63]) ).
cnf(c_164134,plain,
( sk3 = cons(sk8,nil)
| sk3 = nil ),
inference(resolution,[status(thm)],[c_19153,c_65]) ).
cnf(c_170527,plain,
( ~ segmentP(sk4,nil)
| memberP(sk4,sk8)
| segmentP(nil,sk3) ),
inference(resolution,[status(thm)],[c_33265,c_164106]) ).
cnf(c_193427,plain,
( ~ segmentP(nil,X0)
| segmentP(sk4,X0)
| memberP(sk4,sk8) ),
inference(resolution,[status(thm)],[c_33319,c_63]) ).
cnf(c_196409,plain,
( cons(sk5,X0) != cons(sk8,nil)
| sk3 != cons(sk8,nil)
| cons(sk5,X0) = sk3 ),
inference(instantiation,[status(thm)],[c_123169]) ).
cnf(c_196410,plain,
( cons(sk5,nil) != cons(sk8,nil)
| sk3 != cons(sk8,nil)
| cons(sk5,nil) = sk3 ),
inference(instantiation,[status(thm)],[c_196409]) ).
cnf(c_199385,plain,
( memberP(sk4,sk8)
| segmentP(sk4,nil) ),
inference(resolution,[status(thm)],[c_193427,c_393]) ).
cnf(c_202547,plain,
segmentP(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_199385,c_75,c_321,c_66349]) ).
cnf(c_202556,plain,
( memberP(sk4,sk8)
| segmentP(nil,sk3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_170527,c_202547]) ).
cnf(c_218002,plain,
( ~ memberP(nil,hd(cons(sk5,X0)))
| ~ ssItem(hd(cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_218003,plain,
( ~ memberP(nil,hd(cons(sk5,nil)))
| ~ ssItem(hd(cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_218002]) ).
cnf(c_319784,plain,
app(sk7,nil) = sk7,
inference(superposition,[status(thm)],[c_57,c_140]) ).
cnf(c_319807,plain,
app(skaf48(X0,X1),nil) = skaf48(X0,X1),
inference(superposition,[status(thm)],[c_115,c_140]) ).
cnf(c_319808,plain,
app(skaf47(X0,X1),nil) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_116,c_140]) ).
cnf(c_319818,plain,
app(nil,sk7) = sk7,
inference(superposition,[status(thm)],[c_57,c_141]) ).
cnf(c_319842,plain,
app(nil,skaf47(X0,X1)) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_116,c_141]) ).
cnf(c_321218,plain,
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(nil)
| rearsegP(sk7,X0) ),
inference(superposition,[status(thm)],[c_319784,c_203]) ).
cnf(c_321265,plain,
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| rearsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_321218,c_75,c_57]) ).
cnf(c_321296,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(nil)
| frontsegP(sk7,X0) ),
inference(superposition,[status(thm)],[c_319818,c_204]) ).
cnf(c_321342,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| frontsegP(sk7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_321296,c_75,c_57]) ).
cnf(c_322813,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 ),
inference(superposition,[status(thm)],[c_123,c_235]) ).
cnf(c_322817,plain,
( ~ ssList(X0)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_322813,c_75]) ).
cnf(c_322917,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sk7)
| segmentP(sk3,X0) ),
inference(superposition,[status(thm)],[c_1725,c_239]) ).
cnf(c_323005,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_322917,c_57,c_56]) ).
cnf(c_324776,plain,
app(app(skaf47(sk4,nil),nil),skaf48(nil,sk4)) = sk4,
inference(superposition,[status(thm)],[c_52,c_322817]) ).
cnf(c_324777,plain,
app(app(skaf47(sk6,nil),nil),skaf48(nil,sk6)) = sk6,
inference(superposition,[status(thm)],[c_56,c_322817]) ).
cnf(c_327185,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(X0)
| segmentP(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_323005,c_55,c_75,c_9569,c_27612]) ).
cnf(c_327191,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk3,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_124,c_327185]) ).
cnf(c_327427,plain,
segmentP(sk3,cons(sk5,nil)),
inference(global_subsumption_just,[status(thm)],[c_327191,c_55,c_51,c_75,c_9569,c_11813,c_28012]) ).
cnf(c_327429,plain,
( ~ ssList(cons(sk5,nil))
| ~ segmentP(X0,sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| segmentP(X0,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_327427,c_219]) ).
cnf(c_327431,plain,
( ~ segmentP(cons(sk5,nil),sk3)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| cons(sk5,nil) = sk3 ),
inference(superposition,[status(thm)],[c_327427,c_194]) ).
cnf(c_327432,plain,
( ~ segmentP(cons(sk5,nil),sk3)
| ~ ssList(cons(sk5,nil))
| cons(sk5,nil) = sk3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_327431,c_51]) ).
cnf(c_327433,plain,
( ~ ssList(cons(sk5,nil))
| ~ segmentP(X0,sk3)
| ~ ssList(X0)
| segmentP(X0,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_327429,c_51]) ).
cnf(c_327435,plain,
( ~ ssList(cons(sk5,nil))
| ~ segmentP(nil,sk3)
| ~ ssList(nil)
| segmentP(nil,cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_327433]) ).
cnf(c_328274,plain,
cons(sk5,nil) = sk3,
inference(global_subsumption_just,[status(thm)],[c_327432,c_57,c_56,c_55,c_75,c_319,c_321,c_65,c_337,c_1725,c_9569,c_10261,c_10514,c_10557,c_11154,c_16725,c_18311,c_19793,c_40340,c_83362,c_88757,c_116686,c_127581,c_132607,c_137769,c_144068,c_158459,c_164134,c_196410,c_218003,c_327435]) ).
cnf(c_328279,plain,
app(app(sk6,sk3),sk7) = sk3,
inference(demodulation,[status(thm)],[c_1725,c_328274]) ).
cnf(c_336866,plain,
( sk3 != nil
| ~ ssList(app(sk6,sk3))
| ~ ssList(sk7)
| sk7 = nil ),
inference(superposition,[status(thm)],[c_328279,c_186]) ).
cnf(c_336878,plain,
( sk3 != nil
| ~ ssList(app(sk6,sk3))
| sk7 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_336866,c_57]) ).
cnf(c_337065,plain,
sk3 != nil,
inference(global_subsumption_just,[status(thm)],[c_336878,c_55,c_75,c_319,c_321,c_337,c_9569,c_10261,c_18311,c_116686,c_327435]) ).
cnf(c_347140,plain,
( ~ ssList(skaf48(X0,X1))
| ~ rearsegP(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| rearsegP(skaf48(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_319807,c_203]) ).
cnf(c_347145,plain,
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| rearsegP(skaf48(X1,X2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_347140,c_75,c_115]) ).
cnf(c_347160,plain,
app(skaf47(sk4,nil),skaf48(nil,sk4)) = sk4,
inference(demodulation,[status(thm)],[c_324776,c_319808]) ).
cnf(c_347161,plain,
app(skaf47(sk6,nil),skaf48(nil,sk6)) = sk6,
inference(demodulation,[status(thm)],[c_324777,c_319808]) ).
cnf(c_348349,plain,
( ~ ssList(skaf47(X0,X1))
| ~ frontsegP(nil,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| frontsegP(skaf47(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_319842,c_204]) ).
cnf(c_348353,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| frontsegP(skaf47(X1,X2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_348349,c_75,c_116]) ).
cnf(c_441663,plain,
( sk4 != nil
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(skaf47(sk4,nil))
| skaf47(sk4,nil) = nil ),
inference(superposition,[status(thm)],[c_347160,c_185]) ).
cnf(c_441672,plain,
( sk4 != nil
| skaf47(sk4,nil) = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_441663,c_116,c_115]) ).
cnf(c_441862,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_441672,c_55,c_75,c_319,c_321,c_337,c_9569,c_10261,c_18311,c_83362,c_111021,c_111020,c_113209,c_133448,c_202556,c_327435]) ).
cnf(c_447168,plain,
( ~ ssList(skaf48(nil,sk6))
| ~ ssList(skaf47(sk6,nil))
| rearsegP(sk6,skaf48(nil,sk6)) ),
inference(superposition,[status(thm)],[c_347161,c_674]) ).
cnf(c_447169,plain,
( ~ ssList(skaf48(nil,sk6))
| ~ ssList(skaf47(sk6,nil))
| frontsegP(sk6,skaf47(sk6,nil)) ),
inference(superposition,[status(thm)],[c_347161,c_673]) ).
cnf(c_447174,plain,
frontsegP(sk6,skaf47(sk6,nil)),
inference(forward_subsumption_resolution,[status(thm)],[c_447169,c_116,c_115]) ).
cnf(c_447175,plain,
rearsegP(sk6,skaf48(nil,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_447168,c_116,c_115]) ).
cnf(c_448815,plain,
( ~ ssList(skaf48(nil,sk6))
| ~ rearsegP(X0,sk6)
| ~ ssList(X0)
| ~ ssList(sk6)
| rearsegP(X0,skaf48(nil,sk6)) ),
inference(superposition,[status(thm)],[c_447175,c_220]) ).
cnf(c_448820,plain,
( ~ rearsegP(X0,sk6)
| ~ ssList(X0)
| rearsegP(X0,skaf48(nil,sk6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_448815,c_56,c_115]) ).
cnf(c_449018,plain,
( ~ ssList(skaf48(nil,sk6))
| ~ rearsegP(nil,sk6)
| ~ ssList(nil)
| rearsegP(sk7,skaf48(nil,sk6)) ),
inference(superposition,[status(thm)],[c_448820,c_321265]) ).
cnf(c_449036,plain,
( ~ rearsegP(nil,sk6)
| rearsegP(sk7,skaf48(nil,sk6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_449018,c_75,c_115]) ).
cnf(c_449148,plain,
( ~ ssList(skaf47(sk6,nil))
| ~ frontsegP(X0,sk6)
| ~ ssList(X0)
| ~ ssList(sk6)
| frontsegP(X0,skaf47(sk6,nil)) ),
inference(superposition,[status(thm)],[c_447174,c_221]) ).
cnf(c_449155,plain,
( ~ frontsegP(X0,sk6)
| ~ ssList(X0)
| frontsegP(X0,skaf47(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_449148,c_56,c_116]) ).
cnf(c_449390,plain,
( ~ rearsegP(skaf48(nil,sk6),sk7)
| ~ ssList(skaf48(nil,sk6))
| ~ rearsegP(nil,sk6)
| ~ ssList(sk7)
| skaf48(nil,sk6) = sk7 ),
inference(superposition,[status(thm)],[c_449036,c_195]) ).
cnf(c_449392,plain,
( ~ rearsegP(skaf48(nil,sk6),sk7)
| ~ rearsegP(nil,sk6)
| skaf48(nil,sk6) = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_449390,c_57,c_115]) ).
cnf(c_449462,plain,
( ~ ssList(skaf47(sk6,nil))
| ~ frontsegP(nil,sk6)
| ~ ssList(nil)
| frontsegP(sk7,skaf47(sk6,nil)) ),
inference(superposition,[status(thm)],[c_449155,c_321342]) ).
cnf(c_449478,plain,
( ~ frontsegP(nil,sk6)
| frontsegP(sk7,skaf47(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_449462,c_75,c_116]) ).
cnf(c_452932,plain,
( ~ frontsegP(skaf47(sk6,nil),sk7)
| ~ ssList(skaf47(sk6,nil))
| ~ frontsegP(nil,sk6)
| ~ ssList(sk7)
| skaf47(sk6,nil) = sk7 ),
inference(superposition,[status(thm)],[c_449478,c_196]) ).
cnf(c_452933,plain,
( ~ frontsegP(skaf47(sk6,nil),sk7)
| ~ frontsegP(nil,sk6)
| skaf47(sk6,nil) = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_452932,c_57,c_116]) ).
cnf(c_458698,plain,
( ~ rearsegP(nil,sk6)
| ~ rearsegP(nil,sk7)
| ~ ssList(sk7)
| skaf48(nil,sk6) = sk7 ),
inference(superposition,[status(thm)],[c_347145,c_449392]) ).
cnf(c_458699,plain,
( ~ rearsegP(nil,sk6)
| ~ rearsegP(nil,sk7)
| skaf48(nil,sk6) = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_458698,c_57]) ).
cnf(c_458700,plain,
( ~ rearsegP(nil,sk7)
| ~ rearsegP(nil,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_458699,c_57,c_56,c_55,c_75,c_59,c_10313,c_10311,c_10514,c_10557,c_11155,c_11154,c_18204,c_18232,c_21876,c_29489,c_218003]) ).
cnf(c_458701,plain,
( ~ rearsegP(nil,sk6)
| ~ rearsegP(nil,sk7) ),
inference(renaming,[status(thm)],[c_458700]) ).
cnf(c_458994,plain,
( ~ frontsegP(nil,sk6)
| ~ frontsegP(nil,sk7)
| ~ ssList(sk7)
| skaf47(sk6,nil) = sk7 ),
inference(superposition,[status(thm)],[c_348353,c_452933]) ).
cnf(c_458995,plain,
( ~ frontsegP(nil,sk6)
| ~ frontsegP(nil,sk7)
| skaf47(sk6,nil) = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_458994,c_57]) ).
cnf(c_458996,plain,
( ~ frontsegP(nil,sk7)
| ~ frontsegP(nil,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_458995,c_75,c_319,c_320,c_337,c_15365,c_15364,c_33383,c_53590,c_458701]) ).
cnf(c_458997,plain,
( ~ frontsegP(nil,sk6)
| ~ frontsegP(nil,sk7) ),
inference(renaming,[status(thm)],[c_458996]) ).
cnf(c_577276,plain,
cons(sk8,nil) = sk3,
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_337065]) ).
cnf(c_577284,plain,
sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_6479,c_55,c_75,c_6479,c_9569,c_10264,c_18373,c_18374,c_111036]) ).
cnf(c_577286,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6477,c_577284]) ).
cnf(c_577324,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_187,c_577286]) ).
cnf(c_577334,plain,
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_164,c_577286]) ).
cnf(c_577409,plain,
app(sk3,nil) = sk3,
inference(superposition,[status(thm)],[c_51,c_140]) ).
cnf(c_577437,plain,
app(skaf46(X0,X1),nil) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_117,c_140]) ).
cnf(c_577444,plain,
app(nil,sk3) = sk3,
inference(superposition,[status(thm)],[c_51,c_141]) ).
cnf(c_577525,plain,
app(cons(X0,nil),sk3) = cons(X0,sk3),
inference(superposition,[status(thm)],[c_51,c_577324]) ).
cnf(c_577528,plain,
app(cons(X0,nil),sk7) = cons(X0,sk7),
inference(superposition,[status(thm)],[c_57,c_577324]) ).
cnf(c_577594,plain,
cons(sk8,sk3) = app(sk3,sk3),
inference(superposition,[status(thm)],[c_577276,c_577525]) ).
cnf(c_577629,plain,
cons(sk8,sk7) = app(sk3,sk7),
inference(superposition,[status(thm)],[c_577276,c_577528]) ).
cnf(c_577630,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(sk7)
| ssList(cons(X0,sk7)) ),
inference(superposition,[status(thm)],[c_577528,c_152]) ).
cnf(c_577631,plain,
( ~ ssList(cons(X0,nil))
| ssList(cons(X0,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_577630,c_57]) ).
cnf(c_577633,plain,
ssList(cons(X0,sk7)),
inference(global_subsumption_just,[status(thm)],[c_577631,c_57,c_55,c_75,c_6477,c_6479,c_9569,c_10264,c_18373,c_18374,c_111036,c_127977]) ).
cnf(c_577637,plain,
app(nil,cons(X0,sk7)) = cons(X0,sk7),
inference(superposition,[status(thm)],[c_577633,c_141]) ).
cnf(c_577834,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| frontsegP(sk3,sk3) ),
inference(superposition,[status(thm)],[c_577409,c_673]) ).
cnf(c_577841,plain,
( ~ ssList(sk3)
| ~ ssList(sk7)
| frontsegP(cons(sk8,sk7),sk3) ),
inference(superposition,[status(thm)],[c_577629,c_673]) ).
cnf(c_577854,plain,
frontsegP(sk3,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_577834,c_75,c_51]) ).
cnf(c_577859,plain,
frontsegP(cons(sk8,sk7),sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_577841,c_57,c_51]) ).
cnf(c_578511,plain,
( ~ ssList(X0)
| hd(app(sk3,X0)) = hd(sk3)
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_190]) ).
cnf(c_578549,plain,
( ~ ssList(X0)
| hd(app(sk3,X0)) = hd(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_578511,c_337065]) ).
cnf(c_578554,plain,
hd(app(sk3,sk3)) = hd(sk3),
inference(superposition,[status(thm)],[c_51,c_578549]) ).
cnf(c_578582,plain,
hd(app(sk3,skaf46(X0,X1))) = hd(sk3),
inference(superposition,[status(thm)],[c_117,c_578549]) ).
cnf(c_578586,plain,
( ~ ssList(X0)
| hd(app(sk3,tl(X0))) = hd(sk3)
| X0 = nil ),
inference(superposition,[status(thm)],[c_144,c_578549]) ).
cnf(c_578593,plain,
hd(cons(sk8,sk3)) = hd(sk3),
inference(light_normalisation,[status(thm)],[c_578554,c_577594]) ).
cnf(c_578834,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0 ),
inference(superposition,[status(thm)],[c_125,c_198]) ).
cnf(c_578865,plain,
( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_578834,c_75]) ).
cnf(c_578892,plain,
( ~ ssList(sk3)
| app(sk3,skaf45(sk3,sk3)) = sk3 ),
inference(superposition,[status(thm)],[c_577854,c_199]) ).
cnf(c_578899,plain,
( ~ ssList(cons(sk8,sk7))
| ~ ssList(sk3)
| app(sk3,skaf45(cons(sk8,sk7),sk3)) = cons(sk8,sk7) ),
inference(superposition,[status(thm)],[c_577859,c_199]) ).
cnf(c_578905,plain,
app(sk3,skaf45(sk3,sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_578892,c_51]) ).
cnf(c_578914,plain,
app(sk3,skaf45(cons(sk8,sk7),sk3)) = cons(sk8,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_578899,c_51,c_577633]) ).
cnf(c_579690,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,sk3),X0) = app(X1,app(sk3,X0)) ),
inference(superposition,[status(thm)],[c_51,c_216]) ).
cnf(c_579814,plain,
( app(sk3,X0) != sk3
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| X0 = nil ),
inference(superposition,[status(thm)],[c_577409,c_217]) ).
cnf(c_579834,plain,
( app(sk3,X0) != cons(sk8,sk7)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk7)
| X0 = sk7 ),
inference(superposition,[status(thm)],[c_577629,c_217]) ).
cnf(c_579851,plain,
( app(sk3,X0) != sk3
| ~ ssList(X0)
| X0 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_579814,c_75,c_51]) ).
cnf(c_579864,plain,
( app(sk3,X0) != cons(sk8,sk7)
| ~ ssList(X0)
| X0 = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_579834,c_57,c_51]) ).
cnf(c_580857,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sk7)
| segmentP(sk3,X0) ),
inference(superposition,[status(thm)],[c_1725,c_239]) ).
cnf(c_580928,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_580857,c_57,c_56]) ).
cnf(c_581101,plain,
( ~ ssList(app(app(nil,sk3),X0))
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(nil)
| segmentP(app(sk3,X0),sk3) ),
inference(superposition,[status(thm)],[c_577444,c_267]) ).
cnf(c_581144,plain,
( ~ ssList(app(app(nil,sk3),X0))
| ~ ssList(X0)
| segmentP(app(sk3,X0),sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_581101,c_75,c_51]) ).
cnf(c_582582,plain,
( cons(sk8,sk7) != sk3
| ~ ssList(skaf45(cons(sk8,sk7),sk3))
| skaf45(cons(sk8,sk7),sk3) = nil ),
inference(superposition,[status(thm)],[c_578914,c_579851]) ).
cnf(c_582588,plain,
( cons(sk8,sk7) != sk3
| skaf45(cons(sk8,sk7),sk3) = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_582582,c_118]) ).
cnf(c_590880,plain,
( ~ ssList(app(sk3,X0))
| ~ ssList(X0)
| segmentP(app(sk3,X0),sk3) ),
inference(light_normalisation,[status(thm)],[c_581144,c_577444]) ).
cnf(c_590889,plain,
( ~ ssList(app(sk3,sk7))
| ~ ssList(sk7)
| segmentP(cons(sk8,sk7),sk3) ),
inference(superposition,[status(thm)],[c_577629,c_590880]) ).
cnf(c_590898,plain,
( ~ ssList(app(sk3,sk7))
| segmentP(cons(sk8,sk7),sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590889,c_57]) ).
cnf(c_591040,plain,
( ~ ssList(cons(sk8,sk7))
| segmentP(cons(sk8,sk7),sk3) ),
inference(light_normalisation,[status(thm)],[c_590898,c_577629]) ).
cnf(c_591041,plain,
segmentP(cons(sk8,sk7),sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_591040,c_577633]) ).
cnf(c_591044,plain,
( ~ segmentP(sk3,cons(sk8,sk7))
| ~ ssList(cons(sk8,sk7))
| ~ ssList(sk3)
| cons(sk8,sk7) = sk3 ),
inference(superposition,[status(thm)],[c_591041,c_194]) ).
cnf(c_591045,plain,
( ~ segmentP(sk3,cons(sk8,sk7))
| cons(sk8,sk7) = sk3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_591044,c_51,c_577633]) ).
cnf(c_592086,plain,
( cons(sk8,sk7) != sk3
| ~ ssList(skaf45(sk3,sk3))
| skaf45(sk3,sk3) = sk7 ),
inference(superposition,[status(thm)],[c_578905,c_579864]) ).
cnf(c_592100,plain,
( cons(sk8,sk7) != sk3
| skaf45(sk3,sk3) = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_592086,c_118]) ).
cnf(c_594767,plain,
hd(cons(X0,sk3)) = X0,
inference(superposition,[status(thm)],[c_51,c_577334]) ).
cnf(c_594771,plain,
hd(cons(X0,nil)) = X0,
inference(superposition,[status(thm)],[c_75,c_577334]) ).
cnf(c_594842,plain,
hd(sk3) = sk8,
inference(demodulation,[status(thm)],[c_578593,c_594767]) ).
cnf(c_594852,plain,
hd(app(sk3,skaf46(X0,X1))) = sk8,
inference(demodulation,[status(thm)],[c_578582,c_594842]) ).
cnf(c_597402,plain,
( ~ ssList(X0)
| skaf46(X0,nil) = X0 ),
inference(demodulation,[status(thm)],[c_578865,c_577437]) ).
cnf(c_597616,plain,
( ~ segmentP(cons(sk5,nil),X0)
| ~ ssList(X0)
| segmentP(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_580928,c_55,c_75,c_9569,c_27612]) ).
cnf(c_597622,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk3,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_124,c_597616]) ).
cnf(c_597667,plain,
segmentP(sk3,cons(sk5,nil)),
inference(global_subsumption_just,[status(thm)],[c_597622,c_55,c_51,c_75,c_9569,c_11813,c_28012]) ).
cnf(c_597671,plain,
( ~ segmentP(cons(sk5,nil),sk3)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| cons(sk5,nil) = sk3 ),
inference(superposition,[status(thm)],[c_597667,c_194]) ).
cnf(c_597672,plain,
( ~ segmentP(cons(sk5,nil),sk3)
| ~ ssList(cons(sk5,nil))
| cons(sk5,nil) = sk3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_597671,c_51]) ).
cnf(c_599060,plain,
( ~ ssList(X0)
| skaf46(tl(X0),nil) = tl(X0)
| X0 = nil ),
inference(superposition,[status(thm)],[c_144,c_597402]) ).
cnf(c_603964,plain,
( skaf46(tl(sk4),nil) = tl(sk4)
| sk4 = nil ),
inference(superposition,[status(thm)],[c_52,c_599060]) ).
cnf(c_604027,plain,
skaf46(tl(sk4),nil) = tl(sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_603964,c_441862]) ).
cnf(c_604094,plain,
hd(app(sk3,tl(sk4))) = sk8,
inference(superposition,[status(thm)],[c_604027,c_594852]) ).
cnf(c_606153,plain,
cons(sk5,nil) = sk3,
inference(global_subsumption_just,[status(thm)],[c_597672,c_57,c_56,c_55,c_75,c_319,c_321,c_65,c_337,c_1725,c_9569,c_10261,c_10514,c_10557,c_11154,c_16725,c_18311,c_19793,c_40340,c_83362,c_88757,c_116686,c_127581,c_132607,c_137769,c_144068,c_158459,c_164134,c_196410,c_218003,c_327435]) ).
cnf(c_606158,plain,
app(app(sk6,sk3),sk7) = sk3,
inference(demodulation,[status(thm)],[c_1725,c_606153]) ).
cnf(c_606166,plain,
hd(sk3) = sk5,
inference(superposition,[status(thm)],[c_606153,c_594771]) ).
cnf(c_606175,plain,
cons(sk5,sk7) = app(sk3,sk7),
inference(superposition,[status(thm)],[c_606153,c_577528]) ).
cnf(c_606732,plain,
( ~ ssList(X0)
| hd(app(sk3,tl(X0))) = sk5
| X0 = nil ),
inference(light_normalisation,[status(thm)],[c_578586,c_606166]) ).
cnf(c_606737,plain,
( hd(app(sk3,tl(sk4))) = sk5
| sk4 = nil ),
inference(superposition,[status(thm)],[c_52,c_606732]) ).
cnf(c_606808,plain,
hd(app(sk3,tl(sk4))) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_606737,c_441862]) ).
cnf(c_607484,plain,
sk5 = sk8,
inference(demodulation,[status(thm)],[c_606808,c_604094]) ).
cnf(c_613934,plain,
( ~ ssList(X0)
| app(app(sk6,sk3),X0) = app(sk6,app(sk3,X0)) ),
inference(superposition,[status(thm)],[c_56,c_579690]) ).
cnf(c_620073,plain,
app(app(sk6,sk3),sk7) = app(sk6,app(sk3,sk7)),
inference(superposition,[status(thm)],[c_57,c_613934]) ).
cnf(c_621114,plain,
app(app(sk6,sk3),sk7) = app(sk6,cons(sk8,sk7)),
inference(light_normalisation,[status(thm)],[c_620073,c_607484,c_606175]) ).
cnf(c_621115,plain,
app(sk6,cons(sk8,sk7)) = sk3,
inference(demodulation,[status(thm)],[c_621114,c_606158]) ).
cnf(c_621119,plain,
( app(X0,cons(sk8,sk7)) != sk3
| ~ ssList(cons(sk8,sk7))
| ~ ssList(X0)
| ~ ssList(sk6)
| X0 = sk6 ),
inference(superposition,[status(thm)],[c_621115,c_218]) ).
cnf(c_621131,plain,
( ~ segmentP(cons(sk8,sk7),X0)
| ~ ssList(cons(sk8,sk7))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk6)
| segmentP(app(sk3,X1),X0) ),
inference(superposition,[status(thm)],[c_621115,c_239]) ).
cnf(c_621149,plain,
( app(X0,cons(sk8,sk7)) != sk3
| ~ ssList(X0)
| X0 = sk6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_621119,c_56,c_577633]) ).
cnf(c_621151,plain,
( ~ segmentP(cons(sk8,sk7),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(sk3,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_621131,c_56,c_577633]) ).
cnf(c_633379,plain,
( cons(sk8,sk7) != sk3
| ~ ssList(nil)
| sk6 = nil ),
inference(superposition,[status(thm)],[c_577637,c_621149]) ).
cnf(c_633381,plain,
( cons(sk8,sk7) != sk3
| sk6 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_633379,c_75]) ).
cnf(c_637386,plain,
( ~ ssList(cons(sk8,sk7))
| ~ ssList(X0)
| segmentP(app(sk3,X0),cons(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_124,c_621151]) ).
cnf(c_637394,plain,
( ~ ssList(X0)
| segmentP(app(sk3,X0),cons(sk8,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_637386,c_577633]) ).
cnf(c_644501,plain,
( ~ ssList(nil)
| segmentP(sk3,cons(sk8,sk7)) ),
inference(superposition,[status(thm)],[c_577409,c_637394]) ).
cnf(c_644523,plain,
segmentP(sk3,cons(sk8,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_644501,c_75]) ).
cnf(c_644540,plain,
cons(sk8,sk7) = sk3,
inference(backward_subsumption_resolution,[status(thm)],[c_591045,c_644523]) ).
cnf(c_644541,plain,
sk6 = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_633381,c_644540]) ).
cnf(c_644545,plain,
skaf45(sk3,sk3) = sk7,
inference(backward_subsumption_resolution,[status(thm)],[c_592100,c_644540]) ).
cnf(c_644546,plain,
skaf45(cons(sk8,sk7),sk3) = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_582588,c_644540]) ).
cnf(c_644556,plain,
sk7 = nil,
inference(light_normalisation,[status(thm)],[c_644546,c_644540,c_644545]) ).
cnf(c_644562,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_644541,c_644556,c_458997,c_53571,c_33373,c_337,c_319,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC184-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.08 % Command : run_iprover %s %d THM
% 0.07/0.26 % Computer : n010.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Thu May 2 23:18:03 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.11/0.35 Running first-order theorem proving
% 0.11/0.35 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 279.23/37.15 % SZS status Started for theBenchmark.p
% 279.23/37.15 % SZS status Unsatisfiable for theBenchmark.p
% 279.23/37.15
% 279.23/37.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 279.23/37.15
% 279.23/37.15 ------ iProver source info
% 279.23/37.15
% 279.23/37.15 git: date: 2024-05-02 19:28:25 +0000
% 279.23/37.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 279.23/37.15 git: non_committed_changes: false
% 279.23/37.15
% 279.23/37.15 ------ Parsing...successful
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15 ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 279.23/37.15
% 279.23/37.15 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 279.23/37.15
% 279.23/37.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 279.23/37.15 ------ Proving...
% 279.23/37.15 ------ Problem Properties
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15 clauses 194
% 279.23/37.15 conjectures 16
% 279.23/37.15 EPR 66
% 279.23/37.15 Horn 157
% 279.23/37.15 unary 66
% 279.23/37.15 binary 28
% 279.23/37.15 lits 573
% 279.23/37.15 lits eq 84
% 279.23/37.15 fd_pure 0
% 279.23/37.15 fd_pseudo 0
% 279.23/37.15 fd_cond 17
% 279.23/37.15 fd_pseudo_cond 14
% 279.23/37.15 AC symbols 0
% 279.23/37.15
% 279.23/37.15 ------ Input Options Time Limit: Unbounded
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15 ------
% 279.23/37.15 Current options:
% 279.23/37.15 ------
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15 ------ Proving...
% 279.23/37.15
% 279.23/37.15
% 279.23/37.15 % SZS status Unsatisfiable for theBenchmark.p
% 279.23/37.15
% 279.23/37.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 279.23/37.15
% 279.23/37.16
%------------------------------------------------------------------------------