TSTP Solution File: SWC354-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC354-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Thu Aug 31 20:42:46 EDT 2023
% Result : Unsatisfiable 72.70s 11.23s
% Output : CNFRefutation 72.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 38
% Syntax : Number of clauses : 146 ( 55 unt; 15 nHn; 130 RR)
% Number of literals : 362 ( 98 equ; 221 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 115 ( 16 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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_57,negated_conjecture,
( cons(X0,nil) != X1
| hd(sk4) != X0
| ~ neq(nil,sk4)
| ~ ssList(X1)
| ~ ssItem(X0)
| X1 = sk3
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_59,negated_conjecture,
( cons(X0,nil) != X1
| hd(sk4) != X0
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(X1)
| ~ ssItem(X0)
| X1 = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_68,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_72,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_73,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_107,plain,
ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(c_111,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_112,plain,
ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(c_113,plain,
ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(c_120,plain,
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(c_132,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_134,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_138,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_145,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_146,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_156,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_157,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_158,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(c_160,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_161,plain,
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(c_164,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_169,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_175,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_176,plain,
( cons(X0,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X0)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(c_180,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,
( ~ 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_198,plain,
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(c_209,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(c_229,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause169) ).
cnf(c_233,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_238,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_239,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_250,plain,
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_176]) ).
cnf(c_251,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_175]) ).
cnf(c_257,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_198]) ).
cnf(c_260,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_233]) ).
cnf(c_261,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X2,X1)) ),
inference(unflattening,[status(thm)],[c_238]) ).
cnf(c_262,negated_conjecture,
( ~ ssList(cons(hd(sk4),nil))
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| cons(hd(sk4),nil) = sk3
| neq(sk2,nil) ),
inference(unflattening,[status(thm)],[c_57]) ).
cnf(c_263,negated_conjecture,
( ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| cons(hd(sk4),nil) = sk3 ),
inference(unflattening,[status(thm)],[c_59]) ).
cnf(c_264,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_239]) ).
cnf(c_398,negated_conjecture,
neq(sk2,nil),
inference(global_subsumption_just,[status(thm)],[c_262,c_55]) ).
cnf(c_1612,plain,
( ~ neq(sk2,nil)
| ~ segmentP(sk2,sk1) ),
inference(light_normalisation,[status(thm)],[c_60,c_53]) ).
cnf(c_1613,plain,
~ segmentP(sk2,sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_1612,c_398]) ).
cnf(c_2364,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(light_normalisation,[status(thm)],[c_263,c_53,c_54]) ).
cnf(c_2365,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2364,c_398]) ).
cnf(c_2812,plain,
( X0 != sk2
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_398,c_251]) ).
cnf(c_2813,plain,
( sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_2812]) ).
cnf(c_2814,plain,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_2813,c_50,c_2813]) ).
cnf(c_2849,plain,
( X0 != sk2
| X1 != nil
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ~ ssList(X1)
| cons(hd(sk2),nil) = sk1
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_160,c_2365]) ).
cnf(c_2850,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(nil)
| cons(hd(sk2),nil) = sk1
| sk2 = nil ),
inference(unflattening,[status(thm)],[c_2849]) ).
cnf(c_2851,plain,
( cons(hd(sk2),nil) = sk1
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil)) ),
inference(global_subsumption_just,[status(thm)],[c_2850,c_50,c_68,c_2813,c_2850]) ).
cnf(c_2852,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(renaming,[status(thm)],[c_2851]) ).
cnf(c_6358,plain,
( ssItem(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_132]) ).
cnf(c_6359,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_132]) ).
cnf(c_6360,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_9175,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_49,c_134]) ).
cnf(c_9300,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_9175,c_260]) ).
cnf(c_9301,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_9300,c_9175]) ).
cnf(c_9302,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9301,c_68,c_49]) ).
cnf(c_9358,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| cons(hd(sk2),nil) = sk1 ),
inference(superposition,[status(thm)],[c_146,c_2852]) ).
cnf(c_9363,plain,
( ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9358,c_68]) ).
cnf(c_9415,plain,
( ~ ssList(sk2)
| cons(hd(sk2),nil) = sk1
| sk2 = nil ),
inference(superposition,[status(thm)],[c_138,c_9363]) ).
cnf(c_9418,plain,
cons(hd(sk2),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_9415,c_2814,c_50]) ).
cnf(c_9652,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| memberP(sk1,hd(sk2)) ),
inference(superposition,[status(thm)],[c_9418,c_257]) ).
cnf(c_9653,plain,
( ~ ssItem(hd(sk2))
| memberP(sk1,hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9652,c_68]) ).
cnf(c_9746,plain,
( ~ ssItem(X0)
| ~ ssList(nil)
| singletonP(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_146,c_250]) ).
cnf(c_9748,plain,
( ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9746,c_68]) ).
cnf(c_9762,plain,
( ~ ssItem(X0)
| tl(cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_68,c_156]) ).
cnf(c_9763,plain,
( ~ ssItem(X0)
| tl(cons(X0,skaf82(X1))) = skaf82(X1) ),
inference(superposition,[status(thm)],[c_73,c_156]) ).
cnf(c_9905,plain,
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(superposition,[status(thm)],[c_68,c_157]) ).
cnf(c_9906,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_73,c_157]) ).
cnf(c_10110,plain,
( sk1 != nil
| ~ ssItem(hd(sk2))
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9418,c_158]) ).
cnf(c_10111,plain,
( sk1 != nil
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10110,c_68]) ).
cnf(c_10203,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssItem(hd(sk2)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_10533,plain,
( cons(hd(sk1),tl(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_164]) ).
cnf(c_10534,plain,
( cons(hd(sk2),tl(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_164]) ).
cnf(c_10566,plain,
cons(hd(sk2),tl(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10534,c_2814]) ).
cnf(c_10710,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_169]) ).
cnf(c_10742,plain,
cons(skaf83(sk2),skaf82(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10710,c_2814]) ).
cnf(c_10879,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_49,c_180]) ).
cnf(c_10880,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_50,c_180]) ).
cnf(c_11056,plain,
cons(hd(sk1),tl(sk1)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_10533,c_50,c_2813,c_10111,c_10203,c_10533]) ).
cnf(c_12684,plain,
( ~ ssItem(hd(sk2))
| singletonP(sk1) ),
inference(superposition,[status(thm)],[c_9418,c_9748]) ).
cnf(c_12994,plain,
singletonP(sk1),
inference(global_subsumption_just,[status(thm)],[c_12684,c_50,c_2813,c_10203,c_12684]) ).
cnf(c_12996,plain,
( ~ ssList(sk1)
| cons(skaf44(sk1),nil) = sk1 ),
inference(superposition,[status(thm)],[c_12994,c_161]) ).
cnf(c_12997,plain,
cons(skaf44(sk1),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_12996,c_49]) ).
cnf(c_14253,plain,
( ~ frontsegP(X0,nil)
| ~ ssItem(skaf44(sk1))
| ~ ssList(X0)
| ~ ssList(nil)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(superposition,[status(thm)],[c_12997,c_261]) ).
cnf(c_14257,plain,
( ~ frontsegP(X0,nil)
| ~ ssList(X0)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14253,c_68,c_107]) ).
cnf(c_14371,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,X0),sk2) = app(X1,app(X0,sk2)) ),
inference(superposition,[status(thm)],[c_50,c_209]) ).
cnf(c_18830,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(superposition,[status(thm)],[c_9653,c_229]) ).
cnf(c_18835,plain,
( ~ ssItem(hd(sk2))
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_18830,c_49]) ).
cnf(c_24406,plain,
( ~ ssList(X0)
| app(app(X0,sk1),sk2) = app(X0,app(sk1,sk2)) ),
inference(superposition,[status(thm)],[c_49,c_14371]) ).
cnf(c_24628,plain,
app(app(sk1,sk1),sk2) = app(sk1,app(sk1,sk2)),
inference(superposition,[status(thm)],[c_49,c_24406]) ).
cnf(c_24795,plain,
( ~ ssList(app(sk1,sk1))
| ~ ssList(sk2)
| ssList(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_24628,c_145]) ).
cnf(c_24814,plain,
( ~ ssList(app(sk1,sk1))
| ssList(app(sk1,app(sk1,sk2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24795,c_50]) ).
cnf(c_29809,plain,
app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1,
inference(global_subsumption_just,[status(thm)],[c_18835,c_50,c_2813,c_10203,c_18835]) ).
cnf(c_34562,plain,
tl(cons(skaf44(X0),nil)) = nil,
inference(superposition,[status(thm)],[c_107,c_9762]) ).
cnf(c_36035,plain,
tl(sk1) = nil,
inference(superposition,[status(thm)],[c_12997,c_34562]) ).
cnf(c_36037,plain,
cons(hd(sk1),nil) = sk1,
inference(demodulation,[status(thm)],[c_11056,c_36035]) ).
cnf(c_37328,plain,
hd(cons(skaf83(X0),nil)) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_9905]) ).
cnf(c_37342,plain,
hd(cons(skaf44(X0),nil)) = skaf44(X0),
inference(superposition,[status(thm)],[c_107,c_9905]) ).
cnf(c_39795,plain,
hd(sk1) = skaf44(sk1),
inference(superposition,[status(thm)],[c_12997,c_37342]) ).
cnf(c_39839,plain,
ssItem(hd(sk1)),
inference(superposition,[status(thm)],[c_39795,c_107]) ).
cnf(c_39848,plain,
app(cons(hd(sk1),nil),sk2) = cons(hd(sk1),sk2),
inference(superposition,[status(thm)],[c_39839,c_10880]) ).
cnf(c_39849,plain,
app(cons(hd(sk1),nil),sk1) = cons(hd(sk1),sk1),
inference(superposition,[status(thm)],[c_39839,c_10879]) ).
cnf(c_39856,plain,
cons(hd(sk1),sk1) = app(sk1,sk1),
inference(light_normalisation,[status(thm)],[c_39849,c_36037]) ).
cnf(c_39857,plain,
cons(hd(sk1),sk2) = app(sk1,sk2),
inference(light_normalisation,[status(thm)],[c_39848,c_36037]) ).
cnf(c_41325,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(sk1)
| ssList(app(sk1,sk1)) ),
inference(superposition,[status(thm)],[c_39856,c_146]) ).
cnf(c_41353,plain,
ssList(app(sk1,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_41325,c_49,c_39839]) ).
cnf(c_41539,plain,
ssList(app(sk1,app(sk1,sk2))),
inference(backward_subsumption_resolution,[status(thm)],[c_24814,c_41353]) ).
cnf(c_42488,plain,
( ~ sP1_iProver_split
| duplicatefreeP(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_41539,c_6359]) ).
cnf(c_70094,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_9906]) ).
cnf(c_70224,plain,
hd(sk2) = skaf83(sk2),
inference(superposition,[status(thm)],[c_10742,c_70094]) ).
cnf(c_70289,plain,
cons(hd(sk2),skaf82(sk2)) = sk2,
inference(demodulation,[status(thm)],[c_10742,c_70224]) ).
cnf(c_70304,plain,
hd(cons(hd(sk2),nil)) = hd(sk2),
inference(superposition,[status(thm)],[c_70224,c_37328]) ).
cnf(c_70310,plain,
ssItem(hd(sk2)),
inference(superposition,[status(thm)],[c_70224,c_72]) ).
cnf(c_70312,plain,
hd(sk1) = hd(sk2),
inference(light_normalisation,[status(thm)],[c_70304,c_9418]) ).
cnf(c_70334,plain,
cons(hd(sk2),sk2) = app(sk1,sk2),
inference(demodulation,[status(thm)],[c_39857,c_70312]) ).
cnf(c_70340,plain,
hd(sk2) = skaf44(sk1),
inference(demodulation,[status(thm)],[c_39795,c_70312]) ).
cnf(c_74937,plain,
( ~ duplicatefreeP(app(app(X0,cons(hd(sk2),X1)),cons(hd(sk2),sk2)))
| ~ ssList(app(app(X0,cons(hd(sk2),X1)),app(sk1,sk2)))
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2) ),
inference(superposition,[status(thm)],[c_70334,c_264]) ).
cnf(c_74967,plain,
( ~ ssList(app(app(X0,cons(hd(sk2),X1)),app(sk1,sk2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk2),X1)),app(sk1,sk2)))
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2) ),
inference(light_normalisation,[status(thm)],[c_74937,c_70334]) ).
cnf(c_74968,plain,
( ~ ssList(app(app(X0,cons(hd(sk2),X1)),app(sk1,sk2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk2),X1)),app(sk1,sk2)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74967,c_50,c_70310]) ).
cnf(c_167497,plain,
( ~ duplicatefreeP(app(app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))),app(sk1,sk2)))
| ~ ssList(app(sk1,app(sk1,sk2)))
| ~ ssList(skaf43(hd(sk2),sk1))
| ~ ssList(skaf42(sk1,hd(sk2))) ),
inference(superposition,[status(thm)],[c_29809,c_74968]) ).
cnf(c_167536,plain,
( ~ ssList(app(sk1,app(sk1,sk2)))
| ~ duplicatefreeP(app(sk1,app(sk1,sk2)))
| ~ ssList(skaf43(hd(sk2),sk1))
| ~ ssList(skaf42(sk1,hd(sk2))) ),
inference(light_normalisation,[status(thm)],[c_167497,c_29809]) ).
cnf(c_167537,plain,
~ duplicatefreeP(app(sk1,app(sk1,sk2))),
inference(forward_subsumption_resolution,[status(thm)],[c_167536,c_113,c_112,c_41539]) ).
cnf(c_167538,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_42488,c_167537]) ).
cnf(c_167539,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_6360,c_167538]) ).
cnf(c_167567,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6358,c_167539]) ).
cnf(c_167742,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(backward_subsumption_resolution,[status(thm)],[c_9763,c_167567]) ).
cnf(c_186037,plain,
skaf82(sk2) = tl(sk2),
inference(superposition,[status(thm)],[c_70289,c_167742]) ).
cnf(c_187016,plain,
ssList(tl(sk2)),
inference(superposition,[status(thm)],[c_186037,c_73]) ).
cnf(c_205868,plain,
( ~ ssList(X0)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(global_subsumption_just,[status(thm)],[c_14257,c_120,c_14257]) ).
cnf(c_205871,plain,
( ~ ssList(X0)
| frontsegP(cons(hd(sk2),X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_205868,c_70340]) ).
cnf(c_205877,plain,
( ~ ssList(tl(sk2))
| frontsegP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_10566,c_205871]) ).
cnf(c_205885,plain,
frontsegP(sk2,sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_205877,c_187016]) ).
cnf(c_206088,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| app(sk1,skaf45(sk2,sk1)) = sk2 ),
inference(superposition,[status(thm)],[c_205885,c_192]) ).
cnf(c_206093,plain,
app(sk1,skaf45(sk2,sk1)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_206088,c_50,c_49]) ).
cnf(c_206132,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| segmentP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_206093,c_9302]) ).
cnf(c_206140,plain,
( ~ ssList(skaf45(sk2,sk1))
| ~ ssList(sk2)
| segmentP(sk2,sk1) ),
inference(light_normalisation,[status(thm)],[c_206132,c_206093]) ).
cnf(c_206141,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_206140,c_1613,c_50,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC354-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 15:07:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.45 Running first-order theorem proving
% 0.21/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 72.70/11.23 % SZS status Started for theBenchmark.p
% 72.70/11.23 % SZS status Unsatisfiable for theBenchmark.p
% 72.70/11.23
% 72.70/11.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 72.70/11.23
% 72.70/11.23 ------ iProver source info
% 72.70/11.23
% 72.70/11.23 git: date: 2023-05-31 18:12:56 +0000
% 72.70/11.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 72.70/11.23 git: non_committed_changes: false
% 72.70/11.23 git: last_make_outside_of_git: false
% 72.70/11.23
% 72.70/11.23 ------ Parsing...successful
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23 ------ Preprocessing... sup_sim: 6 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
% 72.70/11.23
% 72.70/11.23 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 72.70/11.23
% 72.70/11.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 72.70/11.23 ------ Proving...
% 72.70/11.23 ------ Problem Properties
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23 clauses 184
% 72.70/11.23 conjectures 4
% 72.70/11.23 EPR 58
% 72.70/11.23 Horn 156
% 72.70/11.23 unary 64
% 72.70/11.23 binary 21
% 72.70/11.23 lits 550
% 72.70/11.23 lits eq 73
% 72.70/11.23 fd_pure 0
% 72.70/11.23 fd_pseudo 0
% 72.70/11.23 fd_cond 15
% 72.70/11.23 fd_pseudo_cond 14
% 72.70/11.23 AC symbols 0
% 72.70/11.23
% 72.70/11.23 ------ Schedule dynamic 5 is on
% 72.70/11.23
% 72.70/11.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23 ------
% 72.70/11.23 Current options:
% 72.70/11.23 ------
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23 ------ Proving...
% 72.70/11.23
% 72.70/11.23
% 72.70/11.23 % SZS status Unsatisfiable for theBenchmark.p
% 72.70/11.23
% 72.70/11.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.70/11.23
% 72.70/11.24
%------------------------------------------------------------------------------