TSTP Solution File: SWC079-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC079-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 20:40:49 EDT 2023
% Result : Unsatisfiable 52.85s 7.75s
% Output : CNFRefutation 52.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 39
% Syntax : Number of clauses : 158 ( 57 unt; 16 nHn; 142 RR)
% Number of literals : 407 ( 111 equ; 256 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 6 ( 1 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 : 125 ( 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_58,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_10) ).
cnf(c_59,negated_conjecture,
( ~ neq(X0,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(sk4,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,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_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_117,plain,
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
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_58]) ).
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_60]) ).
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_2062,plain,
( ~ neq(X0,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(sk2,nil)
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_59,c_53]) ).
cnf(c_2063,plain,
( ~ neq(X0,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2062,c_398]) ).
cnf(c_2378,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_2379,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2378,c_398]) ).
cnf(c_3422,plain,
( X0 != sk2
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_398,c_251]) ).
cnf(c_3423,plain,
( sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_3422]) ).
cnf(c_3424,plain,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_3423,c_50,c_3423]) ).
cnf(c_3453,plain,
( X0 != X1
| X2 != nil
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
inference(resolution_lifted,[status(thm)],[c_2063,c_160]) ).
cnf(c_3454,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| X0 = nil ),
inference(unflattening,[status(thm)],[c_3453]) ).
cnf(c_3456,plain,
( ~ ssList(X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| X0 = nil ),
inference(global_subsumption_just,[status(thm)],[c_3454,c_68,c_3454]) ).
cnf(c_3457,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(renaming,[status(thm)],[c_3456]) ).
cnf(c_3497,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_2379]) ).
cnf(c_3498,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_3497]) ).
cnf(c_3499,plain,
( cons(hd(sk2),nil) = sk1
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil)) ),
inference(global_subsumption_just,[status(thm)],[c_3498,c_50,c_68,c_3423,c_3498]) ).
cnf(c_3500,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(renaming,[status(thm)],[c_3499]) ).
cnf(c_6448,plain,
( ssItem(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_132]) ).
cnf(c_6449,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_132]) ).
cnf(c_6450,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_9032,plain,
( ~ segmentP(sk2,sk1)
| ~ ssList(sk1)
| sk1 = nil ),
inference(superposition,[status(thm)],[c_117,c_3457]) ).
cnf(c_9033,plain,
( ~ segmentP(sk2,sk1)
| sk1 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_9032,c_49]) ).
cnf(c_9298,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_49,c_134]) ).
cnf(c_9436,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_9298,c_260]) ).
cnf(c_9437,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_9436,c_9298]) ).
cnf(c_9438,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9437,c_68,c_49]) ).
cnf(c_9479,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| cons(hd(sk2),nil) = sk1 ),
inference(superposition,[status(thm)],[c_146,c_3500]) ).
cnf(c_9484,plain,
( ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9479,c_68]) ).
cnf(c_9546,plain,
( ~ ssList(sk2)
| cons(hd(sk2),nil) = sk1
| sk2 = nil ),
inference(superposition,[status(thm)],[c_138,c_9484]) ).
cnf(c_9549,plain,
cons(hd(sk2),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_9546,c_3424,c_50]) ).
cnf(c_9771,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| memberP(sk1,hd(sk2)) ),
inference(superposition,[status(thm)],[c_9549,c_257]) ).
cnf(c_9772,plain,
( ~ ssItem(hd(sk2))
| memberP(sk1,hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9771,c_68]) ).
cnf(c_9859,plain,
( ~ ssItem(X0)
| ~ ssList(nil)
| singletonP(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_146,c_250]) ).
cnf(c_9861,plain,
( ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9859,c_68]) ).
cnf(c_9875,plain,
( ~ ssItem(X0)
| tl(cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_68,c_156]) ).
cnf(c_9876,plain,
( ~ ssItem(X0)
| tl(cons(X0,skaf82(X1))) = skaf82(X1) ),
inference(superposition,[status(thm)],[c_73,c_156]) ).
cnf(c_10018,plain,
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(superposition,[status(thm)],[c_68,c_157]) ).
cnf(c_10019,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_73,c_157]) ).
cnf(c_10192,plain,
( sk1 != nil
| ~ ssItem(hd(sk2))
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9549,c_158]) ).
cnf(c_10193,plain,
( sk1 != nil
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10192,c_68]) ).
cnf(c_10317,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssItem(hd(sk2)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_10651,plain,
( cons(hd(sk1),tl(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_164]) ).
cnf(c_10652,plain,
( cons(hd(sk2),tl(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_164]) ).
cnf(c_10684,plain,
cons(hd(sk2),tl(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10652,c_3424]) ).
cnf(c_10827,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_169]) ).
cnf(c_10828,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_169]) ).
cnf(c_10860,plain,
cons(skaf83(sk2),skaf82(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10828,c_3424]) ).
cnf(c_10997,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_49,c_180]) ).
cnf(c_10998,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_50,c_180]) ).
cnf(c_11178,plain,
cons(hd(sk1),tl(sk1)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_10651,c_50,c_3423,c_10193,c_10317,c_10651]) ).
cnf(c_11193,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_10827,c_50,c_3423,c_10193,c_10317,c_10827]) ).
cnf(c_11198,plain,
( sk1 != nil
| ~ ssList(skaf82(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[status(thm)],[c_11193,c_158]) ).
cnf(c_11200,plain,
sk1 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_11198,c_72,c_73]) ).
cnf(c_11202,plain,
~ segmentP(sk2,sk1),
inference(backward_subsumption_resolution,[status(thm)],[c_9033,c_11200]) ).
cnf(c_12870,plain,
( ~ ssItem(hd(sk2))
| singletonP(sk1) ),
inference(superposition,[status(thm)],[c_9549,c_9861]) ).
cnf(c_13177,plain,
singletonP(sk1),
inference(global_subsumption_just,[status(thm)],[c_12870,c_50,c_3423,c_10317,c_12870]) ).
cnf(c_13179,plain,
( ~ ssList(sk1)
| cons(skaf44(sk1),nil) = sk1 ),
inference(superposition,[status(thm)],[c_13177,c_161]) ).
cnf(c_13180,plain,
cons(skaf44(sk1),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_13179,c_49]) ).
cnf(c_14354,plain,
( ~ frontsegP(X0,nil)
| ~ ssItem(skaf44(sk1))
| ~ ssList(X0)
| ~ ssList(nil)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(superposition,[status(thm)],[c_13180,c_261]) ).
cnf(c_14358,plain,
( ~ frontsegP(X0,nil)
| ~ ssList(X0)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14354,c_68,c_107]) ).
cnf(c_14472,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_18880,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(superposition,[status(thm)],[c_9772,c_229]) ).
cnf(c_18885,plain,
( ~ ssItem(hd(sk2))
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_18880,c_49]) ).
cnf(c_24517,plain,
( ~ ssList(X0)
| app(app(X0,sk1),sk2) = app(X0,app(sk1,sk2)) ),
inference(superposition,[status(thm)],[c_49,c_14472]) ).
cnf(c_24741,plain,
app(app(sk1,sk1),sk2) = app(sk1,app(sk1,sk2)),
inference(superposition,[status(thm)],[c_49,c_24517]) ).
cnf(c_24995,plain,
( ~ ssList(app(sk1,sk1))
| ~ ssList(sk2)
| ssList(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_24741,c_145]) ).
cnf(c_25014,plain,
( ~ ssList(app(sk1,sk1))
| ssList(app(sk1,app(sk1,sk2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24995,c_50]) ).
cnf(c_29519,plain,
app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1,
inference(global_subsumption_just,[status(thm)],[c_18885,c_50,c_3423,c_10317,c_18885]) ).
cnf(c_34359,plain,
tl(cons(skaf44(X0),nil)) = nil,
inference(superposition,[status(thm)],[c_107,c_9875]) ).
cnf(c_35882,plain,
tl(sk1) = nil,
inference(superposition,[status(thm)],[c_13180,c_34359]) ).
cnf(c_35884,plain,
cons(hd(sk1),nil) = sk1,
inference(demodulation,[status(thm)],[c_11178,c_35882]) ).
cnf(c_36559,plain,
hd(cons(skaf83(X0),nil)) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_10018]) ).
cnf(c_36573,plain,
hd(cons(skaf44(X0),nil)) = skaf44(X0),
inference(superposition,[status(thm)],[c_107,c_10018]) ).
cnf(c_39530,plain,
hd(sk1) = skaf44(sk1),
inference(superposition,[status(thm)],[c_13180,c_36573]) ).
cnf(c_39574,plain,
ssItem(hd(sk1)),
inference(superposition,[status(thm)],[c_39530,c_107]) ).
cnf(c_40555,plain,
app(cons(hd(sk1),nil),sk2) = cons(hd(sk1),sk2),
inference(superposition,[status(thm)],[c_39574,c_10998]) ).
cnf(c_40556,plain,
app(cons(hd(sk1),nil),sk1) = cons(hd(sk1),sk1),
inference(superposition,[status(thm)],[c_39574,c_10997]) ).
cnf(c_40563,plain,
cons(hd(sk1),sk1) = app(sk1,sk1),
inference(light_normalisation,[status(thm)],[c_40556,c_35884]) ).
cnf(c_40564,plain,
cons(hd(sk1),sk2) = app(sk1,sk2),
inference(light_normalisation,[status(thm)],[c_40555,c_35884]) ).
cnf(c_42260,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(sk1)
| ssList(app(sk1,sk1)) ),
inference(superposition,[status(thm)],[c_40563,c_146]) ).
cnf(c_42288,plain,
ssList(app(sk1,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_42260,c_49,c_39574]) ).
cnf(c_42474,plain,
ssList(app(sk1,app(sk1,sk2))),
inference(backward_subsumption_resolution,[status(thm)],[c_25014,c_42288]) ).
cnf(c_43466,plain,
( ~ sP1_iProver_split
| duplicatefreeP(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_42474,c_6449]) ).
cnf(c_68824,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_10019]) ).
cnf(c_69709,plain,
hd(sk2) = skaf83(sk2),
inference(superposition,[status(thm)],[c_10860,c_68824]) ).
cnf(c_69771,plain,
cons(hd(sk2),skaf82(sk2)) = sk2,
inference(demodulation,[status(thm)],[c_10860,c_69709]) ).
cnf(c_69951,plain,
hd(cons(hd(sk2),nil)) = hd(sk2),
inference(superposition,[status(thm)],[c_69709,c_36559]) ).
cnf(c_69957,plain,
ssItem(hd(sk2)),
inference(superposition,[status(thm)],[c_69709,c_72]) ).
cnf(c_69959,plain,
hd(sk1) = hd(sk2),
inference(light_normalisation,[status(thm)],[c_69951,c_9549]) ).
cnf(c_69982,plain,
cons(hd(sk2),sk2) = app(sk1,sk2),
inference(demodulation,[status(thm)],[c_40564,c_69959]) ).
cnf(c_69987,plain,
hd(sk2) = skaf44(sk1),
inference(demodulation,[status(thm)],[c_39530,c_69959]) ).
cnf(c_74616,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_69982,c_264]) ).
cnf(c_74646,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_74616,c_69982]) ).
cnf(c_74647,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_74646,c_50,c_69957]) ).
cnf(c_165302,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_29519,c_74647]) ).
cnf(c_165341,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_165302,c_29519]) ).
cnf(c_165342,plain,
~ duplicatefreeP(app(sk1,app(sk1,sk2))),
inference(forward_subsumption_resolution,[status(thm)],[c_165341,c_113,c_112,c_42474]) ).
cnf(c_165343,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_43466,c_165342]) ).
cnf(c_165344,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_6450,c_165343]) ).
cnf(c_165372,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6448,c_165344]) ).
cnf(c_165547,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(backward_subsumption_resolution,[status(thm)],[c_9876,c_165372]) ).
cnf(c_185445,plain,
skaf82(sk2) = tl(sk2),
inference(superposition,[status(thm)],[c_69771,c_165547]) ).
cnf(c_185598,plain,
ssList(tl(sk2)),
inference(superposition,[status(thm)],[c_185445,c_73]) ).
cnf(c_207774,plain,
( ~ ssList(X0)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(global_subsumption_just,[status(thm)],[c_14358,c_120,c_14358]) ).
cnf(c_207777,plain,
( ~ ssList(X0)
| frontsegP(cons(hd(sk2),X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_207774,c_69987]) ).
cnf(c_207783,plain,
( ~ ssList(tl(sk2))
| frontsegP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_10684,c_207777]) ).
cnf(c_207795,plain,
frontsegP(sk2,sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_207783,c_185598]) ).
cnf(c_207942,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| app(sk1,skaf45(sk2,sk1)) = sk2 ),
inference(superposition,[status(thm)],[c_207795,c_192]) ).
cnf(c_207947,plain,
app(sk1,skaf45(sk2,sk1)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_207942,c_50,c_49]) ).
cnf(c_208012,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| segmentP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_207947,c_9438]) ).
cnf(c_208020,plain,
( ~ ssList(skaf45(sk2,sk1))
| ~ ssList(sk2)
| segmentP(sk2,sk1) ),
inference(light_normalisation,[status(thm)],[c_208012,c_207947]) ).
cnf(c_208021,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_208020,c_11202,c_50,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC079-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 16:40:25 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 52.85/7.75 % SZS status Started for theBenchmark.p
% 52.85/7.75 % SZS status Unsatisfiable for theBenchmark.p
% 52.85/7.75
% 52.85/7.75 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 52.85/7.75
% 52.85/7.75 ------ iProver source info
% 52.85/7.75
% 52.85/7.75 git: date: 2023-05-31 18:12:56 +0000
% 52.85/7.75 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 52.85/7.75 git: non_committed_changes: false
% 52.85/7.75 git: last_make_outside_of_git: false
% 52.85/7.75
% 52.85/7.75 ------ Parsing...successful
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75 ------ 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
% 52.85/7.75
% 52.85/7.75 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 52.85/7.75
% 52.85/7.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 52.85/7.75 ------ Proving...
% 52.85/7.75 ------ Problem Properties
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75 clauses 185
% 52.85/7.75 conjectures 4
% 52.85/7.75 EPR 59
% 52.85/7.75 Horn 157
% 52.85/7.75 unary 63
% 52.85/7.75 binary 22
% 52.85/7.75 lits 555
% 52.85/7.75 lits eq 74
% 52.85/7.75 fd_pure 0
% 52.85/7.75 fd_pseudo 0
% 52.85/7.75 fd_cond 16
% 52.85/7.75 fd_pseudo_cond 14
% 52.85/7.75 AC symbols 0
% 52.85/7.75
% 52.85/7.75 ------ Schedule dynamic 5 is on
% 52.85/7.75
% 52.85/7.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75 ------
% 52.85/7.75 Current options:
% 52.85/7.75 ------
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75 ------ Proving...
% 52.85/7.75
% 52.85/7.75
% 52.85/7.75 % SZS status Unsatisfiable for theBenchmark.p
% 52.85/7.75
% 52.85/7.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 52.85/7.75
% 52.85/7.75
%------------------------------------------------------------------------------