TSTP Solution File: SWC285-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC285-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 03:11:52 EDT 2024
% Result : Unsatisfiable 157.91s 21.81s
% Output : CNFRefutation 157.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 43
% Syntax : Number of clauses : 218 ( 47 unt; 19 nHn; 195 RR)
% Number of literals : 615 ( 128 equ; 393 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 234 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
cnf(c_52,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(c_64,negated_conjecture,
( ~ leq(sk5,sk8)
| ~ leq(sk8,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
cnf(c_65,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
cnf(c_73,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_76,plain,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
cnf(c_115,plain,
ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(c_120,plain,
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause55) ).
cnf(c_136,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_137,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_138,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(c_150,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_151,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_162,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_165,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_166,plain,
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(c_172,plain,
( ~ geq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause107) ).
cnf(c_181,plain,
( cons(X0,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X0)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(c_183,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(c_184,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(c_185,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(c_192,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
cnf(c_196,plain,
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(c_205,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
cnf(c_206,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
cnf(c_208,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(c_217,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause152) ).
cnf(c_222,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(c_226,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(c_238,plain,
( app(app(X0,X1),X2) != X3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(c_240,plain,
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| memberP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(c_244,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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(c_255,plain,
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_181]) ).
cnf(c_261,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(unflattening,[status(thm)],[c_208]) ).
cnf(c_264,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_240]) ).
cnf(c_265,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_238]) ).
cnf(c_267,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_244]) ).
cnf(c_666,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_261,c_150]) ).
cnf(c_1689,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(light_normalisation,[status(thm)],[c_59,c_54]) ).
cnf(c_2587,plain,
( cons(X0,nil) != nil
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution_lifted,[status(thm)],[c_76,c_255]) ).
cnf(c_2634,plain,
( X0 != sk4
| X1 != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| singletonP(sk3) ),
inference(resolution_lifted,[status(thm)],[c_65,c_165]) ).
cnf(c_2635,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = nil
| singletonP(sk3) ),
inference(unflattening,[status(thm)],[c_2634]) ).
cnf(c_2636,plain,
( sk4 = nil
| singletonP(sk3) ),
inference(global_subsumption_just,[status(thm)],[c_2635,c_52,c_73,c_2635]) ).
cnf(c_6486,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_137]) ).
cnf(c_6487,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_137]) ).
cnf(c_6488,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_137]) ).
cnf(c_6492,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_6494,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_6495,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_6496,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_6497,negated_conjecture,
segmentP(sk4,sk3),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_6500,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_6501,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_6502,plain,
X0 = X0,
theory(equality) ).
cnf(c_6504,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_6511,plain,
( X0 != X1
| X2 != X3
| ~ leq(X1,X3)
| leq(X0,X2) ),
theory(equality) ).
cnf(c_9104,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_1689,c_265]) ).
cnf(c_9112,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| segmentP(sk3,cons(sk5,nil)) ),
inference(light_normalisation,[status(thm)],[c_9104,c_1689]) ).
cnf(c_9113,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk3,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9112,c_6494,c_6495,c_6501]) ).
cnf(c_9974,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| rearsegP(sk3,sk7) ),
inference(superposition,[status(thm)],[c_1689,c_666]) ).
cnf(c_10006,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| rearsegP(sk3,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9974,c_6494]) ).
cnf(c_10436,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| rearsegP(sk3,sk7) ),
inference(superposition,[status(thm)],[c_150,c_10006]) ).
cnf(c_10437,plain,
( ~ ssList(cons(sk5,nil))
| rearsegP(sk3,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10436,c_6495]) ).
cnf(c_10444,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| rearsegP(sk3,sk7) ),
inference(superposition,[status(thm)],[c_151,c_10437]) ).
cnf(c_10445,plain,
rearsegP(sk3,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_10444,c_6496,c_73]) ).
cnf(c_11452,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk4) = cons(X0,sk4) ),
inference(superposition,[status(thm)],[c_6500,c_185]) ).
cnf(c_11801,plain,
( sk5 != X0
| sk8 != X1
| ~ leq(X0,X1)
| leq(sk5,sk8) ),
inference(instantiation,[status(thm)],[c_6511]) ).
cnf(c_13305,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_267]) ).
cnf(c_13306,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_13305]) ).
cnf(c_13919,plain,
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ ssList(sk7)
| memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_1689,c_205]) ).
cnf(c_13965,plain,
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13919,c_6494]) ).
cnf(c_14766,plain,
( ~ ssList(X0)
| ~ ssItem(sk8)
| hd(cons(sk8,X0)) = sk8 ),
inference(instantiation,[status(thm)],[c_162]) ).
cnf(c_14768,plain,
( ~ ssList(nil)
| ~ ssItem(sk8)
| hd(cons(sk8,nil)) = sk8 ),
inference(instantiation,[status(thm)],[c_14766]) ).
cnf(c_15108,plain,
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk4)
| segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_6497,c_217]) ).
cnf(c_15133,plain,
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15108,c_6500,c_6501]) ).
cnf(c_16547,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,app(sk6,X0)) = app(cons(X1,sk6),X0) ),
inference(superposition,[status(thm)],[c_6495,c_222]) ).
cnf(c_17061,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk4,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_9113,c_15133]) ).
cnf(c_22353,plain,
( ~ ssList(cons(sk5,X0))
| ~ ssList(X1)
| ssList(app(X1,cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_22354,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(nil)
| ssList(app(nil,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_22353]) ).
cnf(c_31138,plain,
sk8 = sk8,
inference(instantiation,[status(thm)],[c_6502]) ).
cnf(c_32402,plain,
( ~ geq(sk8,X0)
| ~ ssItem(X0)
| ~ ssItem(sk8)
| leq(X0,sk8) ),
inference(instantiation,[status(thm)],[c_172]) ).
cnf(c_33055,plain,
( ~ ssList(app(X0,cons(sk5,X1)))
| ~ ssList(cons(X2,X3))
| ssList(app(app(X0,cons(sk5,X1)),cons(X2,X3))) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_34232,plain,
( ~ ssList(X0)
| ~ ssItem(sk5)
| ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_34233,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_34232]) ).
cnf(c_52118,plain,
( ~ geq(sk8,sk8)
| ~ ssItem(sk8)
| leq(sk8,sk8) ),
inference(instantiation,[status(thm)],[c_32402]) ).
cnf(c_58859,plain,
segmentP(sk4,cons(sk5,nil)),
inference(global_subsumption_just,[status(thm)],[c_17061,c_56,c_73,c_17061,c_34233]) ).
cnf(c_58863,plain,
( ~ segmentP(cons(sk5,nil),sk4)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk4)
| cons(sk5,nil) = sk4 ),
inference(superposition,[status(thm)],[c_58859,c_192]) ).
cnf(c_58864,plain,
( ~ segmentP(cons(sk5,nil),sk4)
| ~ ssList(cons(sk5,nil))
| cons(sk5,nil) = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_58863,c_6500]) ).
cnf(c_62772,plain,
( ~ ssItem(sk8)
| geq(sk8,sk8) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_86961,plain,
( sk5 != sk8
| sk8 != X0
| ~ leq(sk8,X0)
| leq(sk5,sk8) ),
inference(instantiation,[status(thm)],[c_11801]) ).
cnf(c_118912,plain,
( sk5 != sk8
| sk8 != sk8
| ~ leq(sk8,sk8)
| leq(sk5,sk8) ),
inference(instantiation,[status(thm)],[c_86961]) ).
cnf(c_159526,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_33055]) ).
cnf(c_159527,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_159526]) ).
cnf(c_160879,plain,
( ~ ssItem(X0)
| ~ ssList(sk6)
| ssList(cons(X0,sk6)) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_164928,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_6487]) ).
cnf(c_164929,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_164928]) ).
cnf(c_186124,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ssList(app(sk6,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_236902,plain,
( ~ ssItem(X0)
| cons(X0,app(sk6,sk3)) = app(cons(X0,sk6),sk3) ),
inference(superposition,[status(thm)],[c_6501,c_16547]) ).
cnf(c_238548,plain,
cons(X0,app(sk6,sk3)) = app(cons(X0,sk6),sk3),
inference(global_subsumption_just,[status(thm)],[c_236902,c_56,c_73,c_6486,c_6488,c_13306,c_22354,c_34233,c_159527,c_164929,c_236902]) ).
cnf(c_238551,plain,
( ~ ssList(cons(X0,sk6))
| ~ ssList(sk3)
| ssList(cons(X0,app(sk6,sk3))) ),
inference(superposition,[status(thm)],[c_238548,c_150]) ).
cnf(c_238576,plain,
( ~ ssList(cons(X0,sk6))
| ssList(cons(X0,app(sk6,sk3))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238551,c_6501]) ).
cnf(c_238706,plain,
ssList(cons(X0,app(sk6,sk3))),
inference(global_subsumption_just,[status(thm)],[c_238576,c_57,c_56,c_73,c_6486,c_6488,c_13306,c_22354,c_34233,c_159527,c_160879,c_164929,c_238576]) ).
cnf(c_238762,plain,
( ~ sP1_iProver_def
| duplicatefreeP(cons(X0,app(sk6,sk3))) ),
inference(superposition,[status(thm)],[c_238706,c_6487]) ).
cnf(c_239381,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_238762,c_56,c_73,c_13306,c_22354,c_34233,c_159527,c_164929]) ).
cnf(c_239383,plain,
sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_6488,c_239381]) ).
cnf(c_239404,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6486,c_239383]) ).
cnf(c_239444,plain,
app(cons(X0,nil),sk4) = cons(X0,sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_11452,c_239404]) ).
cnf(c_239455,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_264,c_239404]) ).
cnf(c_239462,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_226,c_239404]) ).
cnf(c_239472,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X2,X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_206,c_239404]) ).
cnf(c_239473,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,X2),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_205,c_239404]) ).
cnf(c_239482,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_185,c_239404]) ).
cnf(c_239494,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_151,c_239404]) ).
cnf(c_251277,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(sk4)
| ssList(cons(X0,sk4)) ),
inference(superposition,[status(thm)],[c_239444,c_150]) ).
cnf(c_251280,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil))
| ~ ssList(sk4)
| sk4 = nil ),
inference(superposition,[status(thm)],[c_239444,c_184]) ).
cnf(c_251281,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil))
| ~ ssList(sk4)
| cons(X0,nil) = nil ),
inference(superposition,[status(thm)],[c_239444,c_183]) ).
cnf(c_251291,plain,
( ~ ssList(cons(X0,nil))
| ssList(cons(X0,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_251277,c_6500]) ).
cnf(c_251305,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil))
| sk4 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_251280,c_6500]) ).
cnf(c_251314,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_251281,c_6500]) ).
cnf(c_251409,plain,
( ~ ssList(nil)
| ssList(cons(X0,sk4)) ),
inference(superposition,[status(thm)],[c_239494,c_251291]) ).
cnf(c_251411,plain,
ssList(cons(X0,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_251409,c_73]) ).
cnf(c_256837,plain,
( ~ ssList(cons(X0,nil))
| cons(X0,sk4) != nil ),
inference(global_subsumption_just,[status(thm)],[c_251305,c_56,c_73,c_2587,c_6486,c_6488,c_13306,c_22354,c_34233,c_159527,c_164929,c_251314]) ).
cnf(c_256838,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil)) ),
inference(renaming,[status(thm)],[c_256837]) ).
cnf(c_265193,plain,
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,X2)))
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_264,c_239455]) ).
cnf(c_265194,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(renaming,[status(thm)],[c_265193]) ).
cnf(c_265213,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_1689,c_265]) ).
cnf(c_265221,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| segmentP(sk3,cons(sk5,nil)) ),
inference(light_normalisation,[status(thm)],[c_265213,c_1689]) ).
cnf(c_265222,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk3,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265221,c_6494,c_6495,c_6501]) ).
cnf(c_265253,plain,
segmentP(sk3,cons(sk5,nil)),
inference(global_subsumption_just,[status(thm)],[c_265222,c_56,c_73,c_9113,c_34233]) ).
cnf(c_265285,plain,
~ memberP(nil,X0),
inference(global_subsumption_just,[status(thm)],[c_136,c_56,c_73,c_136,c_6486,c_6488,c_13306,c_22354,c_34233,c_159527,c_164929]) ).
cnf(c_265514,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_151,c_239494]) ).
cnf(c_265971,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| rearsegP(sk3,sk7) ),
inference(superposition,[status(thm)],[c_1689,c_666]) ).
cnf(c_266067,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| rearsegP(sk3,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265971,c_6494]) ).
cnf(c_266258,plain,
( sk5 != X0
| sk8 != X1
| ~ leq(X1,X0)
| leq(sk8,sk5) ),
inference(instantiation,[status(thm)],[c_6511]) ).
cnf(c_266283,plain,
( ~ ssList(sk3)
| cons(skaf44(sk3),nil) = sk3
| sk4 = nil ),
inference(superposition,[status(thm)],[c_2636,c_166]) ).
cnf(c_266285,plain,
( cons(skaf44(sk3),nil) = sk3
| sk4 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_266283,c_6501]) ).
cnf(c_266337,plain,
rearsegP(sk3,sk7),
inference(global_subsumption_just,[status(thm)],[c_266067,c_10445]) ).
cnf(c_266873,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_185,c_239482]) ).
cnf(c_266880,plain,
app(cons(X0,nil),sk4) = cons(X0,sk4),
inference(superposition,[status(thm)],[c_6500,c_266873]) ).
cnf(c_266973,plain,
( X0 != X1
| sk8 != X1
| sk8 = X0 ),
inference(instantiation,[status(thm)],[c_6504]) ).
cnf(c_267158,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(sk4)
| ssList(cons(X0,sk4)) ),
inference(superposition,[status(thm)],[c_266880,c_150]) ).
cnf(c_267159,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil))
| ~ ssList(sk4)
| sk4 = nil ),
inference(superposition,[status(thm)],[c_266880,c_184]) ).
cnf(c_267161,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(sk4)
| rearsegP(cons(X0,sk4),sk4) ),
inference(superposition,[status(thm)],[c_266880,c_666]) ).
cnf(c_267164,plain,
( ~ ssList(cons(X0,nil))
| ssList(cons(X0,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267158,c_6500]) ).
cnf(c_267167,plain,
( ~ ssList(cons(X0,nil))
| rearsegP(cons(X0,sk4),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267161,c_6500]) ).
cnf(c_267175,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil))
| sk4 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_267159,c_6500]) ).
cnf(c_267239,plain,
ssList(cons(X0,sk4)),
inference(global_subsumption_just,[status(thm)],[c_267164,c_251411]) ).
cnf(c_267247,plain,
app(cons(X0,sk4),nil) = cons(X0,sk4),
inference(superposition,[status(thm)],[c_267239,c_138]) ).
cnf(c_268274,plain,
( ~ ssList(sk3)
| ~ ssList(sk7)
| app(skaf46(sk3,sk7),sk7) = sk3 ),
inference(superposition,[status(thm)],[c_266337,c_196]) ).
cnf(c_268289,plain,
( ~ ssList(cons(X0,sk4))
| ~ ssList(cons(X0,nil))
| ~ ssList(sk4)
| app(skaf46(cons(X0,sk4),sk4),sk4) = cons(X0,sk4) ),
inference(superposition,[status(thm)],[c_267167,c_196]) ).
cnf(c_268302,plain,
app(skaf46(sk3,sk7),sk7) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_268274,c_6494,c_6501]) ).
cnf(c_268317,plain,
( ~ ssList(cons(X0,nil))
| app(skaf46(cons(X0,sk4),sk4),sk4) = cons(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268289,c_6500,c_267239]) ).
cnf(c_269299,plain,
( ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_205,c_239473]) ).
cnf(c_269300,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,X2),X1) ),
inference(renaming,[status(thm)],[c_269299]) ).
cnf(c_269309,plain,
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_1689,c_269300]) ).
cnf(c_269394,plain,
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_269309,c_6494]) ).
cnf(c_269414,plain,
( ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_206,c_239472]) ).
cnf(c_269415,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X2,X0),X1) ),
inference(renaming,[status(thm)],[c_269414]) ).
cnf(c_270372,plain,
( ~ ssList(skaf46(sk3,sk7))
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_268302,c_269415]) ).
cnf(c_270377,plain,
( ~ memberP(sk7,X0)
| memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270372,c_6494,c_115]) ).
cnf(c_270444,plain,
( memberP(sk3,sk8)
| memberP(sk6,sk8) ),
inference(superposition,[status(thm)],[c_6492,c_270377]) ).
cnf(c_270635,plain,
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(sk4)
| segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c_6497,c_217]) ).
cnf(c_270672,plain,
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| segmentP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_270635,c_6500,c_6501]) ).
cnf(c_274263,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk4,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_265253,c_270672]) ).
cnf(c_274384,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_226,c_239462]) ).
cnf(c_274396,plain,
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| skaf44(sk3) = X0
| sk4 = nil
| memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_266285,c_274384]) ).
cnf(c_274405,plain,
( ~ memberP(sk3,X0)
| skaf44(sk3) = X0
| sk4 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_274396,c_265285,c_73]) ).
cnf(c_274631,plain,
( X0 != sk8
| sk8 != sk8
| sk8 = X0 ),
inference(instantiation,[status(thm)],[c_266973]) ).
cnf(c_290567,plain,
( X0 != X1
| sk8 != X2
| ~ leq(X1,X2)
| leq(X0,sk8) ),
inference(instantiation,[status(thm)],[c_6511]) ).
cnf(c_291586,plain,
( hd(cons(sk8,X0)) != sk8
| sk8 != sk8
| sk8 = hd(cons(sk8,X0)) ),
inference(instantiation,[status(thm)],[c_274631]) ).
cnf(c_291587,plain,
( hd(cons(sk8,nil)) != sk8
| sk8 != sk8
| sk8 = hd(cons(sk8,nil)) ),
inference(instantiation,[status(thm)],[c_291586]) ).
cnf(c_304253,plain,
segmentP(sk4,cons(sk5,nil)),
inference(global_subsumption_just,[status(thm)],[c_274263,c_56,c_73,c_17061,c_34233]) ).
cnf(c_304257,plain,
( ~ segmentP(cons(sk5,nil),sk4)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk4)
| cons(sk5,nil) = sk4 ),
inference(superposition,[status(thm)],[c_304253,c_192]) ).
cnf(c_304258,plain,
( ~ segmentP(cons(sk5,nil),sk4)
| ~ ssList(cons(sk5,nil))
| cons(sk5,nil) = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_304257,c_6500]) ).
cnf(c_304540,plain,
( ~ ssList(cons(X0,nil))
| cons(X0,sk4) != nil ),
inference(global_subsumption_just,[status(thm)],[c_267175,c_256838]) ).
cnf(c_304541,plain,
( cons(X0,sk4) != nil
| ~ ssList(cons(X0,nil)) ),
inference(renaming,[status(thm)],[c_304540]) ).
cnf(c_311419,plain,
( sk5 != X0
| sk8 != hd(cons(sk8,X1))
| ~ leq(hd(cons(sk8,X1)),X0)
| leq(sk8,sk5) ),
inference(instantiation,[status(thm)],[c_266258]) ).
cnf(c_320970,plain,
( ~ ssList(nil)
| app(skaf46(cons(X0,sk4),sk4),sk4) = cons(X0,sk4) ),
inference(superposition,[status(thm)],[c_265514,c_268317]) ).
cnf(c_320972,plain,
app(skaf46(cons(X0,sk4),sk4),sk4) = cons(X0,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_320970,c_73]) ).
cnf(c_330071,plain,
( sk5 != sk8
| sk8 != hd(cons(sk8,X0))
| ~ leq(hd(cons(sk8,X0)),sk8)
| leq(sk8,sk5) ),
inference(instantiation,[status(thm)],[c_311419]) ).
cnf(c_330076,plain,
( sk5 != sk8
| sk8 != hd(cons(sk8,nil))
| ~ leq(hd(cons(sk8,nil)),sk8)
| leq(sk8,sk5) ),
inference(instantiation,[status(thm)],[c_330071]) ).
cnf(c_343649,plain,
( X0 != X1
| sk8 != sk8
| ~ leq(X1,sk8)
| leq(X0,sk8) ),
inference(instantiation,[status(thm)],[c_290567]) ).
cnf(c_358488,plain,
( X0 != sk8
| sk8 != sk8
| ~ leq(sk8,sk8)
| leq(X0,sk8) ),
inference(instantiation,[status(thm)],[c_343649]) ).
cnf(c_361056,plain,
( ~ segmentP(cons(sk5,nil),sk4)
| cons(sk5,nil) = sk4 ),
inference(global_subsumption_just,[status(thm)],[c_304258,c_56,c_73,c_34233,c_58864]) ).
cnf(c_367339,plain,
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| memberP(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_269394,c_57,c_56,c_73,c_6486,c_6488,c_13306,c_13965,c_22354,c_34233,c_159527,c_164929,c_186124]) ).
cnf(c_367346,plain,
( ~ ssList(cons(sk5,nil))
| ~ memberP(sk6,X0)
| ~ ssList(sk6)
| memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_269300,c_367339]) ).
cnf(c_367348,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk6)
| ~ ssList(nil)
| memberP(sk3,sk5) ),
inference(superposition,[status(thm)],[c_265194,c_367339]) ).
cnf(c_367349,plain,
( ~ ssList(cons(sk5,nil))
| ~ memberP(sk6,X0)
| memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367346,c_6495]) ).
cnf(c_367353,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| memberP(sk3,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_367348,c_73,c_6495]) ).
cnf(c_367362,plain,
memberP(sk3,sk5),
inference(global_subsumption_just,[status(thm)],[c_367353,c_57,c_56,c_73,c_34233,c_186124,c_367353]) ).
cnf(c_367366,plain,
( ~ memberP(sk6,X0)
| memberP(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_367349,c_56,c_73,c_34233,c_367349]) ).
cnf(c_367373,plain,
memberP(sk3,sk8),
inference(backward_subsumption_resolution,[status(thm)],[c_270444,c_367366]) ).
cnf(c_386850,plain,
( hd(cons(sk8,X0)) != sk8
| sk8 != sk8
| ~ leq(sk8,sk8)
| leq(hd(cons(sk8,X0)),sk8) ),
inference(instantiation,[status(thm)],[c_358488]) ).
cnf(c_386851,plain,
( hd(cons(sk8,nil)) != sk8
| sk8 != sk8
| ~ leq(sk8,sk8)
| leq(hd(cons(sk8,nil)),sk8) ),
inference(instantiation,[status(thm)],[c_386850]) ).
cnf(c_454993,plain,
( ~ ssList(app(app(skaf46(cons(X0,sk4),sk4),sk4),X1))
| ~ ssList(skaf46(cons(X0,sk4),sk4))
| ~ ssList(X1)
| ~ ssList(sk4)
| segmentP(app(cons(X0,sk4),X1),sk4) ),
inference(superposition,[status(thm)],[c_320972,c_265]) ).
cnf(c_455048,plain,
( ~ ssList(app(cons(X0,sk4),X1))
| ~ ssList(skaf46(cons(X0,sk4),sk4))
| ~ ssList(X1)
| ~ ssList(sk4)
| segmentP(app(cons(X0,sk4),X1),sk4) ),
inference(light_normalisation,[status(thm)],[c_454993,c_320972]) ).
cnf(c_455049,plain,
( ~ ssList(app(cons(X0,sk4),X1))
| ~ ssList(X1)
| segmentP(app(cons(X0,sk4),X1),sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_455048,c_6500,c_115]) ).
cnf(c_468757,plain,
( ~ ssList(app(cons(X0,sk4),nil))
| ~ ssList(nil)
| segmentP(cons(X0,sk4),sk4) ),
inference(superposition,[status(thm)],[c_267247,c_455049]) ).
cnf(c_468762,plain,
( ~ ssList(cons(X0,sk4))
| ~ ssList(nil)
| segmentP(cons(X0,sk4),sk4) ),
inference(light_normalisation,[status(thm)],[c_468757,c_267247]) ).
cnf(c_468763,plain,
segmentP(cons(X0,sk4),sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_468762,c_73,c_267239]) ).
cnf(c_508057,plain,
( skaf44(sk3) = sk8
| sk4 = nil ),
inference(superposition,[status(thm)],[c_367373,c_274405]) ).
cnf(c_508059,plain,
( skaf44(sk3) = sk5
| sk4 = nil ),
inference(superposition,[status(thm)],[c_367362,c_274405]) ).
cnf(c_508774,plain,
( sk4 = nil
| sk5 = sk8 ),
inference(superposition,[status(thm)],[c_508059,c_508057]) ).
cnf(c_508859,plain,
sk4 = nil,
inference(global_subsumption_just,[status(thm)],[c_508774,c_60,c_73,c_64,c_14768,c_31138,c_52118,c_62772,c_118912,c_291587,c_330076,c_386851,c_508774]) ).
cnf(c_509223,plain,
segmentP(cons(X0,nil),nil),
inference(demodulation,[status(thm)],[c_468763,c_508859]) ).
cnf(c_509568,plain,
( ~ segmentP(cons(sk5,nil),nil)
| cons(sk5,nil) = nil ),
inference(demodulation,[status(thm)],[c_361056,c_508859]) ).
cnf(c_509822,plain,
( cons(X0,nil) != nil
| ~ ssList(cons(X0,nil)) ),
inference(demodulation,[status(thm)],[c_304541,c_508859]) ).
cnf(c_509944,plain,
ssList(cons(X0,nil)),
inference(demodulation,[status(thm)],[c_267239,c_508859]) ).
cnf(c_510336,plain,
cons(X0,nil) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_509822,c_509944]) ).
cnf(c_510364,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_509568,c_510336,c_509223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC285-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 23:35:03 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 157.91/21.81 % SZS status Started for theBenchmark.p
% 157.91/21.81 % SZS status Unsatisfiable for theBenchmark.p
% 157.91/21.81
% 157.91/21.81 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 157.91/21.81
% 157.91/21.81 ------ iProver source info
% 157.91/21.81
% 157.91/21.81 git: date: 2024-05-02 19:28:25 +0000
% 157.91/21.81 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 157.91/21.81 git: non_committed_changes: false
% 157.91/21.81
% 157.91/21.81 ------ Parsing...successful
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81 ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 157.91/21.81
% 157.91/21.81 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 157.91/21.81
% 157.91/21.81 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 157.91/21.81 ------ Proving...
% 157.91/21.81 ------ Problem Properties
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81 clauses 192
% 157.91/21.81 conjectures 13
% 157.91/21.81 EPR 66
% 157.91/21.81 Horn 162
% 157.91/21.81 unary 68
% 157.91/21.81 binary 26
% 157.91/21.81 lits 561
% 157.91/21.81 lits eq 73
% 157.91/21.81 fd_pure 0
% 157.91/21.81 fd_pseudo 0
% 157.91/21.81 fd_cond 15
% 157.91/21.81 fd_pseudo_cond 14
% 157.91/21.81 AC symbols 0
% 157.91/21.81
% 157.91/21.81 ------ Schedule dynamic 5 is on
% 157.91/21.81
% 157.91/21.81 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81 ------
% 157.91/21.81 Current options:
% 157.91/21.81 ------
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81 ------ Proving...
% 157.91/21.81 Proof_search_loop: time out after: 10816 full_loop iterations
% 157.91/21.81
% 157.91/21.81 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81 ------
% 157.91/21.81 Current options:
% 157.91/21.81 ------
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81 ------ Proving...
% 157.91/21.81
% 157.91/21.81
% 157.91/21.81 % SZS status Unsatisfiable for theBenchmark.p
% 157.91/21.81
% 157.91/21.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 157.91/21.81
% 157.91/21.82
%------------------------------------------------------------------------------