TSTP Solution File: SWC079-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC079-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 03:11:08 EDT 2024
% Result : Unsatisfiable 53.03s 8.24s
% Output : CNFRefutation 53.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 39
% Syntax : Number of clauses : 160 ( 59 unt; 16 nHn; 144 RR)
% Number of literals : 409 ( 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_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_132]) ).
cnf(c_6449,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_132]) ).
cnf(c_6450,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_6453,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6454,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_9036,plain,
( ~ segmentP(sk2,sk1)
| ~ ssList(sk1)
| sk1 = nil ),
inference(superposition,[status(thm)],[c_117,c_3457]) ).
cnf(c_9037,plain,
( ~ segmentP(sk2,sk1)
| sk1 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_9036,c_6454]) ).
cnf(c_9302,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_6454,c_134]) ).
cnf(c_9440,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_9302,c_260]) ).
cnf(c_9441,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_9440,c_9302]) ).
cnf(c_9442,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9441,c_68,c_6454]) ).
cnf(c_9483,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| cons(hd(sk2),nil) = sk1 ),
inference(superposition,[status(thm)],[c_146,c_3500]) ).
cnf(c_9488,plain,
( ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9483,c_68]) ).
cnf(c_9550,plain,
( ~ ssList(sk2)
| cons(hd(sk2),nil) = sk1
| sk2 = nil ),
inference(superposition,[status(thm)],[c_138,c_9488]) ).
cnf(c_9553,plain,
cons(hd(sk2),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_9550,c_3424,c_6453]) ).
cnf(c_9775,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| memberP(sk1,hd(sk2)) ),
inference(superposition,[status(thm)],[c_9553,c_257]) ).
cnf(c_9776,plain,
( ~ ssItem(hd(sk2))
| memberP(sk1,hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9775,c_68]) ).
cnf(c_9863,plain,
( ~ ssItem(X0)
| ~ ssList(nil)
| singletonP(cons(X0,nil)) ),
inference(superposition,[status(thm)],[c_146,c_250]) ).
cnf(c_9865,plain,
( ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9863,c_68]) ).
cnf(c_9879,plain,
( ~ ssItem(X0)
| tl(cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_68,c_156]) ).
cnf(c_9880,plain,
( ~ ssItem(X0)
| tl(cons(X0,skaf82(X1))) = skaf82(X1) ),
inference(superposition,[status(thm)],[c_73,c_156]) ).
cnf(c_10022,plain,
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(superposition,[status(thm)],[c_68,c_157]) ).
cnf(c_10023,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_73,c_157]) ).
cnf(c_10196,plain,
( sk1 != nil
| ~ ssItem(hd(sk2))
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9553,c_158]) ).
cnf(c_10197,plain,
( sk1 != nil
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10196,c_68]) ).
cnf(c_10321,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssItem(hd(sk2)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_10655,plain,
( cons(hd(sk1),tl(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_6454,c_164]) ).
cnf(c_10656,plain,
( cons(hd(sk2),tl(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_6453,c_164]) ).
cnf(c_10688,plain,
cons(hd(sk2),tl(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10656,c_3424]) ).
cnf(c_10831,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_6454,c_169]) ).
cnf(c_10832,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_6453,c_169]) ).
cnf(c_10864,plain,
cons(skaf83(sk2),skaf82(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10832,c_3424]) ).
cnf(c_11001,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_6454,c_180]) ).
cnf(c_11002,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_6453,c_180]) ).
cnf(c_11182,plain,
cons(hd(sk1),tl(sk1)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_10655,c_50,c_3423,c_10197,c_10321,c_10655]) ).
cnf(c_11197,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_10831,c_50,c_3423,c_10197,c_10321,c_10831]) ).
cnf(c_11202,plain,
( sk1 != nil
| ~ ssList(skaf82(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[status(thm)],[c_11197,c_158]) ).
cnf(c_11204,plain,
sk1 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_11202,c_72,c_73]) ).
cnf(c_11206,plain,
~ segmentP(sk2,sk1),
inference(backward_subsumption_resolution,[status(thm)],[c_9037,c_11204]) ).
cnf(c_12874,plain,
( ~ ssItem(hd(sk2))
| singletonP(sk1) ),
inference(superposition,[status(thm)],[c_9553,c_9865]) ).
cnf(c_13181,plain,
singletonP(sk1),
inference(global_subsumption_just,[status(thm)],[c_12874,c_50,c_3423,c_10321,c_12874]) ).
cnf(c_13183,plain,
( ~ ssList(sk1)
| cons(skaf44(sk1),nil) = sk1 ),
inference(superposition,[status(thm)],[c_13181,c_161]) ).
cnf(c_13184,plain,
cons(skaf44(sk1),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_13183,c_6454]) ).
cnf(c_14358,plain,
( ~ frontsegP(X0,nil)
| ~ ssItem(skaf44(sk1))
| ~ ssList(X0)
| ~ ssList(nil)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(superposition,[status(thm)],[c_13184,c_261]) ).
cnf(c_14362,plain,
( ~ frontsegP(X0,nil)
| ~ ssList(X0)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14358,c_68,c_107]) ).
cnf(c_14476,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,X0),sk2) = app(X1,app(X0,sk2)) ),
inference(superposition,[status(thm)],[c_6453,c_209]) ).
cnf(c_18884,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(superposition,[status(thm)],[c_9776,c_229]) ).
cnf(c_18889,plain,
( ~ ssItem(hd(sk2))
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_18884,c_6454]) ).
cnf(c_24521,plain,
( ~ ssList(X0)
| app(app(X0,sk1),sk2) = app(X0,app(sk1,sk2)) ),
inference(superposition,[status(thm)],[c_6454,c_14476]) ).
cnf(c_24745,plain,
app(app(sk1,sk1),sk2) = app(sk1,app(sk1,sk2)),
inference(superposition,[status(thm)],[c_6454,c_24521]) ).
cnf(c_24999,plain,
( ~ ssList(app(sk1,sk1))
| ~ ssList(sk2)
| ssList(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_24745,c_145]) ).
cnf(c_25018,plain,
( ~ ssList(app(sk1,sk1))
| ssList(app(sk1,app(sk1,sk2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24999,c_6453]) ).
cnf(c_29523,plain,
app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1,
inference(global_subsumption_just,[status(thm)],[c_18889,c_50,c_3423,c_10321,c_18889]) ).
cnf(c_34363,plain,
tl(cons(skaf44(X0),nil)) = nil,
inference(superposition,[status(thm)],[c_107,c_9879]) ).
cnf(c_35886,plain,
tl(sk1) = nil,
inference(superposition,[status(thm)],[c_13184,c_34363]) ).
cnf(c_35888,plain,
cons(hd(sk1),nil) = sk1,
inference(demodulation,[status(thm)],[c_11182,c_35886]) ).
cnf(c_36563,plain,
hd(cons(skaf83(X0),nil)) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_10022]) ).
cnf(c_36577,plain,
hd(cons(skaf44(X0),nil)) = skaf44(X0),
inference(superposition,[status(thm)],[c_107,c_10022]) ).
cnf(c_39534,plain,
hd(sk1) = skaf44(sk1),
inference(superposition,[status(thm)],[c_13184,c_36577]) ).
cnf(c_39578,plain,
ssItem(hd(sk1)),
inference(superposition,[status(thm)],[c_39534,c_107]) ).
cnf(c_40559,plain,
app(cons(hd(sk1),nil),sk2) = cons(hd(sk1),sk2),
inference(superposition,[status(thm)],[c_39578,c_11002]) ).
cnf(c_40560,plain,
app(cons(hd(sk1),nil),sk1) = cons(hd(sk1),sk1),
inference(superposition,[status(thm)],[c_39578,c_11001]) ).
cnf(c_40567,plain,
cons(hd(sk1),sk1) = app(sk1,sk1),
inference(light_normalisation,[status(thm)],[c_40560,c_35888]) ).
cnf(c_40568,plain,
cons(hd(sk1),sk2) = app(sk1,sk2),
inference(light_normalisation,[status(thm)],[c_40559,c_35888]) ).
cnf(c_42264,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(sk1)
| ssList(app(sk1,sk1)) ),
inference(superposition,[status(thm)],[c_40567,c_146]) ).
cnf(c_42292,plain,
ssList(app(sk1,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_42264,c_6454,c_39578]) ).
cnf(c_42478,plain,
ssList(app(sk1,app(sk1,sk2))),
inference(backward_subsumption_resolution,[status(thm)],[c_25018,c_42292]) ).
cnf(c_43470,plain,
( ~ sP1_iProver_def
| duplicatefreeP(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_42478,c_6449]) ).
cnf(c_68828,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_10023]) ).
cnf(c_69713,plain,
hd(sk2) = skaf83(sk2),
inference(superposition,[status(thm)],[c_10864,c_68828]) ).
cnf(c_69775,plain,
cons(hd(sk2),skaf82(sk2)) = sk2,
inference(demodulation,[status(thm)],[c_10864,c_69713]) ).
cnf(c_69955,plain,
hd(cons(hd(sk2),nil)) = hd(sk2),
inference(superposition,[status(thm)],[c_69713,c_36563]) ).
cnf(c_69961,plain,
ssItem(hd(sk2)),
inference(superposition,[status(thm)],[c_69713,c_72]) ).
cnf(c_69963,plain,
hd(sk1) = hd(sk2),
inference(light_normalisation,[status(thm)],[c_69955,c_9553]) ).
cnf(c_69986,plain,
cons(hd(sk2),sk2) = app(sk1,sk2),
inference(demodulation,[status(thm)],[c_40568,c_69963]) ).
cnf(c_69991,plain,
hd(sk2) = skaf44(sk1),
inference(demodulation,[status(thm)],[c_39534,c_69963]) ).
cnf(c_74620,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_69986,c_264]) ).
cnf(c_74650,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_74620,c_69986]) ).
cnf(c_74651,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_74650,c_6453,c_69961]) ).
cnf(c_162152,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_29523,c_74651]) ).
cnf(c_162191,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_162152,c_29523]) ).
cnf(c_162192,plain,
~ duplicatefreeP(app(sk1,app(sk1,sk2))),
inference(forward_subsumption_resolution,[status(thm)],[c_162191,c_113,c_112,c_42478]) ).
cnf(c_162193,plain,
~ sP1_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_43470,c_162192]) ).
cnf(c_162194,plain,
sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_6450,c_162193]) ).
cnf(c_162222,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6448,c_162194]) ).
cnf(c_162397,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(backward_subsumption_resolution,[status(thm)],[c_9880,c_162222]) ).
cnf(c_180361,plain,
skaf82(sk2) = tl(sk2),
inference(superposition,[status(thm)],[c_69775,c_162397]) ).
cnf(c_180514,plain,
ssList(tl(sk2)),
inference(superposition,[status(thm)],[c_180361,c_73]) ).
cnf(c_204389,plain,
( ~ ssList(X0)
| frontsegP(cons(skaf44(sk1),X0),sk1) ),
inference(global_subsumption_just,[status(thm)],[c_14362,c_120,c_14362]) ).
cnf(c_204392,plain,
( ~ ssList(X0)
| frontsegP(cons(hd(sk2),X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_204389,c_69991]) ).
cnf(c_204398,plain,
( ~ ssList(tl(sk2))
| frontsegP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_10688,c_204392]) ).
cnf(c_204410,plain,
frontsegP(sk2,sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_204398,c_180514]) ).
cnf(c_204615,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| app(sk1,skaf45(sk2,sk1)) = sk2 ),
inference(superposition,[status(thm)],[c_204410,c_192]) ).
cnf(c_204620,plain,
app(sk1,skaf45(sk2,sk1)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_204615,c_6453,c_6454]) ).
cnf(c_204721,plain,
( ~ ssList(app(sk1,skaf45(sk2,sk1)))
| ~ ssList(skaf45(sk2,sk1))
| segmentP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_204620,c_9442]) ).
cnf(c_204729,plain,
( ~ ssList(skaf45(sk2,sk1))
| ~ ssList(sk2)
| segmentP(sk2,sk1) ),
inference(light_normalisation,[status(thm)],[c_204721,c_204620]) ).
cnf(c_204730,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_204729,c_11206,c_6453,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC079-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 00:05:00 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 53.03/8.24 % SZS status Started for theBenchmark.p
% 53.03/8.24 % SZS status Unsatisfiable for theBenchmark.p
% 53.03/8.24
% 53.03/8.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 53.03/8.24
% 53.03/8.24 ------ iProver source info
% 53.03/8.24
% 53.03/8.24 git: date: 2024-05-02 19:28:25 +0000
% 53.03/8.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 53.03/8.24 git: non_committed_changes: false
% 53.03/8.24
% 53.03/8.24 ------ Parsing...successful
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24 ------ 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
% 53.03/8.24
% 53.03/8.24 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 53.03/8.24
% 53.03/8.24 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 53.03/8.24 ------ Proving...
% 53.03/8.24 ------ Problem Properties
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24 clauses 185
% 53.03/8.24 conjectures 4
% 53.03/8.24 EPR 59
% 53.03/8.24 Horn 157
% 53.03/8.24 unary 63
% 53.03/8.24 binary 22
% 53.03/8.24 lits 555
% 53.03/8.24 lits eq 74
% 53.03/8.24 fd_pure 0
% 53.03/8.24 fd_pseudo 0
% 53.03/8.24 fd_cond 16
% 53.03/8.24 fd_pseudo_cond 14
% 53.03/8.24 AC symbols 0
% 53.03/8.24
% 53.03/8.24 ------ Schedule dynamic 5 is on
% 53.03/8.24
% 53.03/8.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24 ------
% 53.03/8.24 Current options:
% 53.03/8.24 ------
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24 ------ Proving...
% 53.03/8.24
% 53.03/8.24
% 53.03/8.24 % SZS status Unsatisfiable for theBenchmark.p
% 53.03/8.24
% 53.03/8.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.03/8.24
% 53.03/8.24
%------------------------------------------------------------------------------