TSTP Solution File: SWC031-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC031-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 03:10:57 EDT 2024
% Result : Unsatisfiable 177.56s 24.23s
% Output : CNFRefutation 177.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 36
% Syntax : Number of clauses : 130 ( 40 unt; 12 nHn; 122 RR)
% Number of literals : 344 ( 80 equ; 212 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 105 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(c_50,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(c_53,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_57,negated_conjecture,
( ~ frontsegP(sk4,X0)
| ~ neq(sk3,X0)
| ~ segmentP(X0,sk3)
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( sk1 = nil
| sk2 = nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_61,negated_conjecture,
( sk1 != nil
| sk2 != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(c_69,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_70,plain,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause9) ).
cnf(c_73,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_74,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_112,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_117,plain,
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).
cnf(c_128,plain,
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause67) ).
cnf(c_134,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(c_135,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_139,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_145,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(c_146,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_147,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_158,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_159,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(c_161,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_170,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_179,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(c_181,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_184,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| hd(app(X1,X0)) = hd(X1)
| X1 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(c_193,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(c_205,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(c_215,plain,
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause154) ).
cnf(c_218,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_235,plain,
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| frontsegP(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause174) ).
cnf(c_239,plain,
( X0 != X1
| ~ frontsegP(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X1)
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause178) ).
cnf(c_256,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_205]) ).
cnf(c_262,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X2,X1)) ),
inference(unflattening,[status(thm)],[c_239]) ).
cnf(c_982,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_256,c_146]) ).
cnf(c_1870,plain,
frontsegP(sk4,sk1),
inference(demodulation,[status(thm)],[c_55,c_54]) ).
cnf(c_1873,plain,
frontsegP(sk2,sk1),
inference(demodulation,[status(thm)],[c_1870,c_53]) ).
cnf(c_2381,plain,
( ~ frontsegP(sk2,X0)
| ~ neq(sk1,X0)
| ~ segmentP(X0,sk1)
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
inference(light_normalisation,[status(thm)],[c_57,c_53,c_54]) ).
cnf(c_3195,plain,
( X0 != X1
| X2 != sk1
| ~ frontsegP(sk2,X1)
| ~ segmentP(X1,sk1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(X1)
| X0 = X2 ),
inference(resolution_lifted,[status(thm)],[c_161,c_2381]) ).
cnf(c_3196,plain,
( ~ frontsegP(sk2,X0)
| ~ segmentP(X0,sk1)
| ~ ssList(X0)
| ~ totalorderedP(X0)
| ~ ssList(sk1)
| X0 = sk1 ),
inference(unflattening,[status(thm)],[c_3195]) ).
cnf(c_3198,plain,
( ~ totalorderedP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk1)
| ~ frontsegP(sk2,X0)
| X0 = sk1 ),
inference(global_subsumption_just,[status(thm)],[c_3196,c_49,c_3196]) ).
cnf(c_3199,plain,
( ~ frontsegP(sk2,X0)
| ~ segmentP(X0,sk1)
| ~ ssList(X0)
| ~ totalorderedP(X0)
| X0 = sk1 ),
inference(renaming,[status(thm)],[c_3198]) ).
cnf(c_7067,plain,
X0 = X0,
theory(equality) ).
cnf(c_7073,plain,
( X0 != X1
| X2 != X3
| ~ segmentP(X1,X3)
| segmentP(X0,X2) ),
theory(equality) ).
cnf(c_10333,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssItem(hd(sk2)) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_10497,plain,
( sk1 = nil
| frontsegP(nil,sk1) ),
inference(superposition,[status(thm)],[c_58,c_1873]) ).
cnf(c_11087,plain,
( ~ ssList(sk1)
| sk1 = nil ),
inference(superposition,[status(thm)],[c_10497,c_145]) ).
cnf(c_11088,plain,
sk1 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_11087,c_49]) ).
cnf(c_11618,plain,
( ~ ssList(X0)
| ~ ssItem(skac3)
| ssList(cons(skac3,X0)) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_11619,plain,
( ~ ssList(nil)
| ~ ssItem(skac3)
| ssList(cons(skac3,nil)) ),
inference(instantiation,[status(thm)],[c_11618]) ).
cnf(c_11652,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ssList(cons(hd(sk2),X0)) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_11683,negated_conjecture,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_61,c_61,c_11088]) ).
cnf(c_12329,negated_conjecture,
sk1 = nil,
inference(global_subsumption_just,[status(thm)],[c_58,c_11088]) ).
cnf(c_13170,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_50,c_181]) ).
cnf(c_13391,plain,
app(cons(skac3,nil),sk2) = cons(skac3,sk2),
inference(superposition,[status(thm)],[c_70,c_13170]) ).
cnf(c_14293,plain,
( ~ ssList(X0)
| ~ ssList(sk2)
| ssList(app(sk2,X0)) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_14305,plain,
( ~ ssList(cons(skac3,nil))
| ~ ssList(sk2)
| ssList(cons(skac3,sk2)) ),
inference(superposition,[status(thm)],[c_13391,c_146]) ).
cnf(c_14310,plain,
( ~ ssList(cons(skac3,nil))
| ssList(cons(skac3,sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14305,c_50]) ).
cnf(c_21109,plain,
( X0 != X1
| ~ segmentP(X1,nil)
| segmentP(X0,sk1) ),
inference(resolution,[status(thm)],[c_7073,c_12329]) ).
cnf(c_29195,plain,
( ~ ssList(sk2)
| ssList(app(sk2,sk2)) ),
inference(instantiation,[status(thm)],[c_14293]) ).
cnf(c_30373,plain,
( ~ segmentP(X0,nil)
| segmentP(X0,sk1) ),
inference(resolution,[status(thm)],[c_21109,c_7067]) ).
cnf(c_42724,plain,
( ~ ssList(X0)
| segmentP(X0,sk1) ),
inference(resolution,[status(thm)],[c_30373,c_117]) ).
cnf(c_44747,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_50,c_181]) ).
cnf(c_44863,plain,
app(cons(skac3,nil),sk2) = cons(skac3,sk2),
inference(superposition,[status(thm)],[c_70,c_44747]) ).
cnf(c_45066,plain,
( ~ ssList(cons(skac3,nil))
| ~ ssList(sk2)
| ssList(cons(skac3,sk2)) ),
inference(superposition,[status(thm)],[c_44863,c_146]) ).
cnf(c_45071,plain,
( ~ ssList(cons(skac3,nil))
| ssList(cons(skac3,sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45066,c_50]) ).
cnf(c_45075,plain,
ssList(cons(skac3,sk2)),
inference(global_subsumption_just,[status(thm)],[c_45071,c_70,c_69,c_11619,c_14310]) ).
cnf(c_46170,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,app(sk2,X0)) = app(cons(X1,sk2),X0) ),
inference(superposition,[status(thm)],[c_50,c_218]) ).
cnf(c_47548,plain,
( ~ ssItem(X0)
| cons(X0,app(sk2,sk2)) = app(cons(X0,sk2),sk2) ),
inference(superposition,[status(thm)],[c_50,c_46170]) ).
cnf(c_47877,plain,
cons(skac3,app(sk2,sk2)) = app(cons(skac3,sk2),sk2),
inference(superposition,[status(thm)],[c_70,c_47548]) ).
cnf(c_51963,plain,
( ~ ssList(cons(skac3,sk2))
| ~ ssList(sk2)
| frontsegP(cons(skac3,app(sk2,sk2)),cons(skac3,sk2)) ),
inference(superposition,[status(thm)],[c_47877,c_982]) ).
cnf(c_51975,plain,
frontsegP(cons(skac3,app(sk2,sk2)),cons(skac3,sk2)),
inference(forward_subsumption_resolution,[status(thm)],[c_51963,c_50,c_45075]) ).
cnf(c_53077,plain,
( ~ ssList(app(sk2,sk2))
| ~ ssList(sk2)
| ~ ssItem(skac3)
| frontsegP(app(sk2,sk2),sk2) ),
inference(superposition,[status(thm)],[c_51975,c_235]) ).
cnf(c_53078,plain,
( ~ ssList(app(sk2,sk2))
| frontsegP(app(sk2,sk2),sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53077,c_70,c_50]) ).
cnf(c_53677,plain,
frontsegP(app(sk2,sk2),sk2),
inference(global_subsumption_just,[status(thm)],[c_53078,c_50,c_29195,c_53078]) ).
cnf(c_53680,plain,
( ~ ssList(app(sk2,sk2))
| ~ ssList(sk2)
| app(sk2,skaf45(app(sk2,sk2),sk2)) = app(sk2,sk2) ),
inference(superposition,[status(thm)],[c_53677,c_193]) ).
cnf(c_53683,plain,
( ~ ssList(app(sk2,sk2))
| app(sk2,skaf45(app(sk2,sk2),sk2)) = app(sk2,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53680,c_50]) ).
cnf(c_60016,plain,
( cons(hd(sk2),X0) != nil
| ~ ssItem(hd(sk2))
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_306240,plain,
( ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ totalorderedP(X0)
| X0 = sk1 ),
inference(global_subsumption_just,[status(thm)],[c_3199,c_3199,c_42724]) ).
cnf(c_306242,plain,
( ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ totalorderedP(X0)
| X0 = nil ),
inference(light_normalisation,[status(thm)],[c_306240,c_11088]) ).
cnf(c_306442,plain,
app(sk2,nil) = sk2,
inference(superposition,[status(thm)],[c_50,c_134]) ).
cnf(c_306532,plain,
app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_74,c_135]) ).
cnf(c_306659,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| frontsegP(sk2,sk2) ),
inference(superposition,[status(thm)],[c_306442,c_982]) ).
cnf(c_306662,plain,
frontsegP(sk2,sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_306659,c_69,c_50]) ).
cnf(c_306751,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_74,c_158]) ).
cnf(c_306785,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_73,c_306751]) ).
cnf(c_306952,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_170]) ).
cnf(c_306984,plain,
cons(skaf83(sk2),skaf82(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_306952,c_11683]) ).
cnf(c_307034,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_50,c_181]) ).
cnf(c_307104,plain,
app(cons(skac3,nil),sk2) = cons(skac3,sk2),
inference(superposition,[status(thm)],[c_70,c_307034]) ).
cnf(c_307151,plain,
( ~ ssList(X0)
| hd(app(X0,sk2)) = hd(X0)
| X0 = nil ),
inference(superposition,[status(thm)],[c_50,c_184]) ).
cnf(c_307240,plain,
( hd(app(sk2,sk2)) = hd(sk2)
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_307151]) ).
cnf(c_307272,plain,
hd(app(sk2,sk2)) = hd(sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_307240,c_11683]) ).
cnf(c_307273,plain,
( ~ ssList(app(sk2,sk2))
| app(sk2,sk2) = nil
| ssItem(hd(sk2)) ),
inference(superposition,[status(thm)],[c_307272,c_139]) ).
cnf(c_307333,plain,
( ~ ssList(cons(skac3,nil))
| ~ ssList(sk2)
| ssList(cons(skac3,sk2)) ),
inference(superposition,[status(thm)],[c_307104,c_146]) ).
cnf(c_307338,plain,
( ~ ssList(cons(skac3,nil))
| ssList(cons(skac3,sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307333,c_50]) ).
cnf(c_307342,plain,
ssList(cons(skac3,sk2)),
inference(global_subsumption_just,[status(thm)],[c_307338,c_70,c_69,c_11619,c_14310]) ).
cnf(c_308056,plain,
( ~ frontsegP(skaf82(sk2),X0)
| ~ ssList(skaf82(sk2))
| ~ ssItem(skaf83(sk2))
| ~ ssList(X0)
| frontsegP(sk2,cons(skaf83(sk2),X0)) ),
inference(superposition,[status(thm)],[c_306984,c_262]) ).
cnf(c_308064,plain,
( ~ frontsegP(skaf82(sk2),X0)
| ~ ssList(X0)
| frontsegP(sk2,cons(skaf83(sk2),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_308056,c_73,c_74]) ).
cnf(c_308214,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,app(sk2,X0)) = app(cons(X1,sk2),X0) ),
inference(superposition,[status(thm)],[c_50,c_218]) ).
cnf(c_309261,plain,
( ~ ssItem(X0)
| cons(X0,app(sk2,sk2)) = app(cons(X0,sk2),sk2) ),
inference(superposition,[status(thm)],[c_50,c_308214]) ).
cnf(c_312215,plain,
cons(skac3,app(sk2,sk2)) = app(cons(skac3,sk2),sk2),
inference(superposition,[status(thm)],[c_70,c_309261]) ).
cnf(c_312308,plain,
( ~ ssList(cons(skac3,sk2))
| ~ ssList(sk2)
| frontsegP(cons(skac3,app(sk2,sk2)),cons(skac3,sk2)) ),
inference(superposition,[status(thm)],[c_312215,c_982]) ).
cnf(c_312318,plain,
frontsegP(cons(skac3,app(sk2,sk2)),cons(skac3,sk2)),
inference(forward_subsumption_resolution,[status(thm)],[c_312308,c_50,c_307342]) ).
cnf(c_312482,plain,
( ~ ssList(app(sk2,sk2))
| ~ ssList(sk2)
| ~ ssItem(skac3)
| frontsegP(app(sk2,sk2),sk2) ),
inference(superposition,[status(thm)],[c_312318,c_235]) ).
cnf(c_312483,plain,
( ~ ssList(app(sk2,sk2))
| frontsegP(app(sk2,sk2),sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_312482,c_70,c_50]) ).
cnf(c_312625,plain,
frontsegP(app(sk2,sk2),sk2),
inference(global_subsumption_just,[status(thm)],[c_312483,c_50,c_29195,c_53078]) ).
cnf(c_312628,plain,
( ~ ssList(app(sk2,sk2))
| ~ ssList(sk2)
| app(sk2,skaf45(app(sk2,sk2),sk2)) = app(sk2,sk2) ),
inference(superposition,[status(thm)],[c_312625,c_193]) ).
cnf(c_312631,plain,
( ~ ssList(app(sk2,sk2))
| app(sk2,skaf45(app(sk2,sk2),sk2)) = app(sk2,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_312628,c_50]) ).
cnf(c_313668,plain,
app(sk2,skaf45(app(sk2,sk2),sk2)) = app(sk2,sk2),
inference(global_subsumption_just,[status(thm)],[c_312631,c_50,c_29195,c_53683]) ).
cnf(c_313671,plain,
( ~ ssList(skaf45(app(sk2,sk2),sk2))
| ~ ssList(sk2)
| ssList(app(sk2,sk2)) ),
inference(superposition,[status(thm)],[c_313668,c_146]) ).
cnf(c_313677,plain,
( app(sk2,sk2) != nil
| ~ ssList(skaf45(app(sk2,sk2),sk2))
| ~ ssList(sk2)
| sk2 = nil ),
inference(superposition,[status(thm)],[c_313668,c_179]) ).
cnf(c_313690,plain,
ssList(app(sk2,sk2)),
inference(forward_subsumption_resolution,[status(thm)],[c_313671,c_50,c_112]) ).
cnf(c_313695,plain,
app(sk2,sk2) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_313677,c_11683,c_50,c_112]) ).
cnf(c_313734,plain,
( app(sk2,sk2) = nil
| ssItem(hd(sk2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_307273,c_313690]) ).
cnf(c_313740,plain,
ssItem(hd(sk2)),
inference(forward_subsumption_resolution,[status(thm)],[c_313734,c_313695]) ).
cnf(c_314931,plain,
( ~ ssList(skaf82(X0))
| ~ ssList(nil)
| frontsegP(skaf82(X0),nil) ),
inference(superposition,[status(thm)],[c_306532,c_982]) ).
cnf(c_314938,plain,
frontsegP(skaf82(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_314931,c_69,c_74]) ).
cnf(c_321084,plain,
( ~ ssList(cons(skaf83(sk2),X0))
| ~ frontsegP(skaf82(sk2),X0)
| ~ frontsegP(X1,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2)
| frontsegP(X1,cons(skaf83(sk2),X0)) ),
inference(superposition,[status(thm)],[c_308064,c_215]) ).
cnf(c_321088,plain,
( ~ ssList(cons(skaf83(sk2),X0))
| ~ frontsegP(skaf82(sk2),X0)
| ~ frontsegP(X1,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(X1,cons(skaf83(sk2),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_321084,c_50]) ).
cnf(c_332265,plain,
skaf83(sk2) = hd(sk2),
inference(superposition,[status(thm)],[c_306984,c_306785]) ).
cnf(c_332701,plain,
( ~ ssList(cons(hd(sk2),X0))
| ~ frontsegP(skaf82(sk2),X0)
| ~ frontsegP(X1,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(X1,cons(hd(sk2),X0)) ),
inference(light_normalisation,[status(thm)],[c_321088,c_332265]) ).
cnf(c_332717,plain,
( ~ ssList(cons(hd(sk2),X0))
| ~ totalorderedP(cons(hd(sk2),X0))
| ~ frontsegP(skaf82(sk2),X0)
| ~ frontsegP(sk2,sk2)
| ~ ssList(X0)
| ~ ssList(sk2)
| cons(hd(sk2),X0) = nil ),
inference(superposition,[status(thm)],[c_332701,c_306242]) ).
cnf(c_332742,plain,
( ~ ssList(cons(hd(sk2),X0))
| ~ totalorderedP(cons(hd(sk2),X0))
| ~ frontsegP(skaf82(sk2),X0)
| ~ ssList(X0)
| cons(hd(sk2),X0) = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_332717,c_50,c_306662]) ).
cnf(c_333926,plain,
( ~ ssList(X0)
| ~ frontsegP(skaf82(sk2),X0)
| ~ totalorderedP(cons(hd(sk2),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_332742,c_50,c_61,c_10333,c_11088,c_11652,c_60016,c_332742]) ).
cnf(c_333927,plain,
( ~ totalorderedP(cons(hd(sk2),X0))
| ~ frontsegP(skaf82(sk2),X0)
| ~ ssList(X0) ),
inference(renaming,[status(thm)],[c_333926]) ).
cnf(c_333932,plain,
( ~ frontsegP(skaf82(sk2),nil)
| ~ ssItem(hd(sk2))
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_128,c_333927]) ).
cnf(c_333935,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_333932,c_69,c_313740,c_314938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC031-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:49:03 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 177.56/24.23 % SZS status Started for theBenchmark.p
% 177.56/24.23 % SZS status Unsatisfiable for theBenchmark.p
% 177.56/24.23
% 177.56/24.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 177.56/24.23
% 177.56/24.23 ------ iProver source info
% 177.56/24.23
% 177.56/24.23 git: date: 2024-05-02 19:28:25 +0000
% 177.56/24.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 177.56/24.23 git: non_committed_changes: false
% 177.56/24.23
% 177.56/24.23 ------ Parsing...successful
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23 ------ Preprocessing... sup_sim: 8 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
% 177.56/24.23
% 177.56/24.23 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 177.56/24.23
% 177.56/24.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 177.56/24.23 ------ Proving...
% 177.56/24.23 ------ Problem Properties
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23 clauses 186
% 177.56/24.23 conjectures 6
% 177.56/24.23 EPR 61
% 177.56/24.23 Horn 157
% 177.56/24.23 unary 64
% 177.56/24.23 binary 23
% 177.56/24.23 lits 556
% 177.56/24.23 lits eq 76
% 177.56/24.23 fd_pure 0
% 177.56/24.23 fd_pseudo 0
% 177.56/24.23 fd_cond 16
% 177.56/24.23 fd_pseudo_cond 14
% 177.56/24.23 AC symbols 0
% 177.56/24.23
% 177.56/24.23 ------ Input Options Time Limit: Unbounded
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23 ------
% 177.56/24.23 Current options:
% 177.56/24.23 ------
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23 ------ Proving...
% 177.56/24.23
% 177.56/24.23
% 177.56/24.23 % SZS status Unsatisfiable for theBenchmark.p
% 177.56/24.23
% 177.56/24.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 177.56/24.23
% 177.56/24.24
%------------------------------------------------------------------------------