TSTP Solution File: SWC061-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC061-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 03:11:04 EDT 2024
% Result : Unsatisfiable 10.20s 2.13s
% Output : CNFRefutation 10.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of clauses : 128 ( 36 unt; 4 nHn; 128 RR)
% Number of literals : 361 ( 78 equ; 242 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 0 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,
( sk4 != nil
| sk3 = nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( sk2 = nil
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( ~ neq(X0,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| sk2 = nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( sk1 != nil
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(c_63,negated_conjecture,
( sk1 != nil
| ~ neq(X0,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
cnf(c_71,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_136,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(c_137,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_149,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_163,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_178,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_190,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
cnf(c_213,plain,
( app(X0,X1) != app(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(c_236,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_254,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_178]) ).
cnf(c_263,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_236]) ).
cnf(c_1589,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(light_normalisation,[status(thm)],[c_57,c_53]) ).
cnf(c_1594,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(light_normalisation,[status(thm)],[c_56,c_53]) ).
cnf(c_1665,plain,
( sk2 != nil
| sk1 = nil ),
inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).
cnf(c_1790,plain,
( ~ neq(sk2,nil)
| app(sk6,cons(sk5,nil)) = sk1 ),
inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).
cnf(c_1795,plain,
( ~ neq(sk2,nil)
| app(cons(sk5,nil),sk6) = sk2 ),
inference(light_normalisation,[status(thm)],[c_58,c_53]) ).
cnf(c_3466,plain,
( sk1 != nil
| app(cons(sk5,nil),sk6) = sk2 ),
inference(resolution,[status(thm)],[c_62,c_1795]) ).
cnf(c_3467,plain,
app(cons(sk5,nil),sk6) = sk2,
inference(global_subsumption_just,[status(thm)],[c_3466,c_60,c_1665,c_1795,c_3466]) ).
cnf(c_3472,plain,
( sk1 != nil
| app(sk6,cons(sk5,nil)) = sk1 ),
inference(resolution,[status(thm)],[c_62,c_1790]) ).
cnf(c_3473,plain,
app(sk6,cons(sk5,nil)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_3472,c_60,c_1665,c_1790,c_3472]) ).
cnf(c_3478,plain,
( sk1 != nil
| ssItem(sk5) ),
inference(resolution,[status(thm)],[c_62,c_1594]) ).
cnf(c_3479,plain,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_3478,c_60,c_1594,c_1665,c_3478]) ).
cnf(c_3484,plain,
( sk1 != nil
| ssList(sk6) ),
inference(resolution,[status(thm)],[c_62,c_1589]) ).
cnf(c_3485,plain,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_3484,c_60,c_1589,c_1665,c_3484]) ).
cnf(c_3494,plain,
( X0 != sk2
| sk1 != nil
| nil != nil
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_63]) ).
cnf(c_3495,plain,
( sk1 != nil
| ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2)
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_3494]) ).
cnf(c_3496,plain,
( ~ segmentP(sk2,sk2)
| ~ segmentP(sk1,sk2)
| sk1 != nil ),
inference(global_subsumption_just,[status(thm)],[c_3495,c_50,c_3495]) ).
cnf(c_3497,plain,
( sk1 != nil
| ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2) ),
inference(renaming,[status(thm)],[c_3496]) ).
cnf(c_3511,plain,
( X0 != sk2
| nil != nil
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| sk2 = nil ),
inference(resolution_lifted,[status(thm)],[c_60,c_61]) ).
cnf(c_3512,plain,
( ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2)
| ~ ssList(sk2)
| sk2 = nil ),
inference(unflattening,[status(thm)],[c_3511]) ).
cnf(c_3513,plain,
( ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2) ),
inference(global_subsumption_just,[status(thm)],[c_3512,c_50,c_1665,c_3497,c_3512]) ).
cnf(c_3537,plain,
( X0 != sk2
| X0 != nil
| sk1 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_254]) ).
cnf(c_3538,plain,
( sk1 != nil
| sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_3537]) ).
cnf(c_3539,plain,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_3538,c_50,c_1665,c_3538]) ).
cnf(c_3618,plain,
( X0 != X1
| X2 != nil
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2
| sk2 = nil ),
inference(resolution_lifted,[status(thm)],[c_61,c_163]) ).
cnf(c_3619,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| X0 = nil
| sk2 = nil ),
inference(unflattening,[status(thm)],[c_3618]) ).
cnf(c_3621,plain,
( X0 = nil
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3619,c_71,c_3539,c_3619]) ).
cnf(c_3622,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(renaming,[status(thm)],[c_3621]) ).
cnf(c_6584,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6585,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_9134,plain,
( ~ ssList(app(app(cons(sk5,nil),sk6),X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| segmentP(app(sk2,X0),sk6) ),
inference(superposition,[status(thm)],[c_3467,c_263]) ).
cnf(c_9142,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| segmentP(app(sk2,X0),sk6) ),
inference(light_normalisation,[status(thm)],[c_9134,c_3467]) ).
cnf(c_9143,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| segmentP(app(sk2,X0),sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9142,c_3485]) ).
cnf(c_9266,plain,
app(sk2,nil) = sk2,
inference(superposition,[status(thm)],[c_6584,c_136]) ).
cnf(c_9327,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_6585,c_137]) ).
cnf(c_9328,plain,
app(nil,sk2) = sk2,
inference(superposition,[status(thm)],[c_6584,c_137]) ).
cnf(c_9329,plain,
app(nil,sk6) = sk6,
inference(superposition,[status(thm)],[c_3485,c_137]) ).
cnf(c_9439,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| segmentP(sk2,sk6) ),
inference(superposition,[status(thm)],[c_9266,c_9143]) ).
cnf(c_9440,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(sk2,sk6) ),
inference(light_normalisation,[status(thm)],[c_9439,c_9266]) ).
cnf(c_9441,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk2,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9440,c_71,c_6584]) ).
cnf(c_9467,plain,
( ~ ssList(app(app(nil,sk2),X0))
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(app(sk2,X0),sk2) ),
inference(superposition,[status(thm)],[c_9328,c_263]) ).
cnf(c_9468,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(app(sk2,X0),sk2) ),
inference(light_normalisation,[status(thm)],[c_9467,c_9328]) ).
cnf(c_9469,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(X0)
| segmentP(app(sk2,X0),sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9468,c_71,c_6584]) ).
cnf(c_9503,plain,
( ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| segmentP(sk2,sk2) ),
inference(superposition,[status(thm)],[c_9266,c_9469]) ).
cnf(c_9504,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(sk2,sk2) ),
inference(light_normalisation,[status(thm)],[c_9503,c_9266]) ).
cnf(c_9505,plain,
segmentP(sk2,sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_9504,c_71,c_6584]) ).
cnf(c_9523,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| segmentP(sk2,sk6) ),
inference(superposition,[status(thm)],[c_149,c_9441]) ).
cnf(c_9524,plain,
segmentP(sk2,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9523,c_3479,c_71]) ).
cnf(c_9554,plain,
( ~ ssList(app(app(nil,sk6),X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk6)
| segmentP(app(sk6,X0),sk6) ),
inference(superposition,[status(thm)],[c_9329,c_263]) ).
cnf(c_9555,plain,
( ~ ssList(app(sk6,X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk6)
| segmentP(app(sk6,X0),sk6) ),
inference(light_normalisation,[status(thm)],[c_9554,c_9329]) ).
cnf(c_9556,plain,
( ~ ssList(app(sk6,X0))
| ~ ssList(X0)
| segmentP(app(sk6,X0),sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9555,c_3485,c_71]) ).
cnf(c_9567,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| segmentP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_3473,c_9556]) ).
cnf(c_9571,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk1)
| segmentP(sk1,sk6) ),
inference(light_normalisation,[status(thm)],[c_9567,c_3473]) ).
cnf(c_9572,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk1,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9571,c_6585]) ).
cnf(c_9579,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| segmentP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_149,c_9572]) ).
cnf(c_9580,plain,
segmentP(sk1,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9579,c_3479,c_71]) ).
cnf(c_9581,plain,
( ~ segmentP(sk2,sk6)
| ~ ssList(sk6)
| nil = sk6 ),
inference(superposition,[status(thm)],[c_9580,c_3622]) ).
cnf(c_9582,plain,
nil = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_9581,c_3485,c_9524]) ).
cnf(c_9590,plain,
app(nil,cons(sk5,nil)) = sk1,
inference(demodulation,[status(thm)],[c_3473,c_9582]) ).
cnf(c_12465,plain,
~ segmentP(sk1,sk2),
inference(global_subsumption_just,[status(thm)],[c_3513,c_3513,c_9505]) ).
cnf(c_12485,plain,
( ~ ssList(app(app(cons(sk5,nil),sk6),X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| segmentP(app(sk2,X0),sk6) ),
inference(superposition,[status(thm)],[c_3467,c_263]) ).
cnf(c_12486,plain,
( ~ ssList(app(app(sk6,cons(sk5,nil)),X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| segmentP(app(sk1,X0),cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_3473,c_263]) ).
cnf(c_12493,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| segmentP(app(sk2,X0),sk6) ),
inference(light_normalisation,[status(thm)],[c_12485,c_3467]) ).
cnf(c_12494,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| segmentP(app(sk2,X0),sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12493,c_3485]) ).
cnf(c_12499,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| ~ ssList(sk6)
| segmentP(app(sk1,X0),cons(sk5,nil)) ),
inference(light_normalisation,[status(thm)],[c_12486,c_3473]) ).
cnf(c_12500,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0)
| segmentP(app(sk1,X0),cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12499,c_3485]) ).
cnf(c_12687,plain,
app(sk1,nil) = sk1,
inference(superposition,[status(thm)],[c_6585,c_136]) ).
cnf(c_12688,plain,
app(sk2,nil) = sk2,
inference(superposition,[status(thm)],[c_6584,c_136]) ).
cnf(c_13755,plain,
app(nil,sk2) = sk2,
inference(superposition,[status(thm)],[c_6584,c_137]) ).
cnf(c_13756,plain,
app(nil,sk6) = sk6,
inference(superposition,[status(thm)],[c_3485,c_137]) ).
cnf(c_15073,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk1,nil))
| ~ ssList(nil)
| segmentP(sk1,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_12687,c_12500]) ).
cnf(c_15074,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(sk1,cons(sk5,nil)) ),
inference(light_normalisation,[status(thm)],[c_15073,c_12687]) ).
cnf(c_15075,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk1,cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15074,c_71,c_6585]) ).
cnf(c_15085,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| segmentP(sk2,sk6) ),
inference(superposition,[status(thm)],[c_12688,c_12494]) ).
cnf(c_15086,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(sk2,sk6) ),
inference(light_normalisation,[status(thm)],[c_15085,c_12688]) ).
cnf(c_15087,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk2,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15086,c_71,c_6584]) ).
cnf(c_15110,plain,
( ~ ssList(app(app(nil,sk2),X0))
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(app(sk2,X0),sk2) ),
inference(superposition,[status(thm)],[c_13755,c_263]) ).
cnf(c_15111,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(app(sk2,X0),sk2) ),
inference(light_normalisation,[status(thm)],[c_15110,c_13755]) ).
cnf(c_15112,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(X0)
| segmentP(app(sk2,X0),sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15111,c_71,c_6584]) ).
cnf(c_15116,plain,
segmentP(sk2,sk6),
inference(global_subsumption_just,[status(thm)],[c_15087,c_9524]) ).
cnf(c_15147,plain,
( ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| segmentP(sk2,sk2) ),
inference(superposition,[status(thm)],[c_12688,c_15112]) ).
cnf(c_15148,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(sk2,sk2) ),
inference(light_normalisation,[status(thm)],[c_15147,c_12688]) ).
cnf(c_15149,plain,
segmentP(sk2,sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_15148,c_71,c_6584]) ).
cnf(c_15439,plain,
( ~ ssList(app(app(nil,sk6),X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk6)
| segmentP(app(sk6,X0),sk6) ),
inference(superposition,[status(thm)],[c_13756,c_263]) ).
cnf(c_15440,plain,
( ~ ssList(app(sk6,X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk6)
| segmentP(app(sk6,X0),sk6) ),
inference(light_normalisation,[status(thm)],[c_15439,c_13756]) ).
cnf(c_15441,plain,
( ~ ssList(app(sk6,X0))
| ~ ssList(X0)
| segmentP(app(sk6,X0),sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15440,c_3485,c_71]) ).
cnf(c_16034,plain,
( app(nil,X0) != sk1
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| X0 = sk1 ),
inference(superposition,[status(thm)],[c_9327,c_213]) ).
cnf(c_16056,plain,
( app(nil,X0) != sk1
| ~ ssList(X0)
| X0 = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_16034,c_71,c_6585]) ).
cnf(c_16619,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| segmentP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_3473,c_15441]) ).
cnf(c_16623,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk1)
| segmentP(sk1,sk6) ),
inference(light_normalisation,[status(thm)],[c_16619,c_3473]) ).
cnf(c_16624,plain,
( ~ ssList(cons(sk5,nil))
| segmentP(sk1,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16623,c_6585]) ).
cnf(c_16627,plain,
segmentP(sk1,sk6),
inference(global_subsumption_just,[status(thm)],[c_16624,c_9580]) ).
cnf(c_16629,plain,
( ~ segmentP(sk2,sk6)
| ~ ssList(sk6)
| nil = sk6 ),
inference(superposition,[status(thm)],[c_16627,c_3622]) ).
cnf(c_16630,plain,
nil = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_16629,c_3485,c_15116]) ).
cnf(c_16639,plain,
app(cons(sk5,nil),nil) = sk2,
inference(demodulation,[status(thm)],[c_3467,c_16630]) ).
cnf(c_16942,plain,
( ~ ssList(cons(sk5,nil))
| cons(sk5,nil) = sk1 ),
inference(superposition,[status(thm)],[c_9590,c_16056]) ).
cnf(c_29225,plain,
( ~ segmentP(cons(sk5,nil),sk1)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk1)
| cons(sk5,nil) = sk1 ),
inference(superposition,[status(thm)],[c_15075,c_190]) ).
cnf(c_29234,plain,
( ~ segmentP(cons(sk5,nil),sk1)
| ~ ssList(cons(sk5,nil))
| cons(sk5,nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_29225,c_6585]) ).
cnf(c_29624,plain,
( ~ ssList(X0)
| ~ ssItem(sk5)
| ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_29625,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_29624]) ).
cnf(c_31352,plain,
cons(sk5,nil) = sk1,
inference(global_subsumption_just,[status(thm)],[c_29234,c_71,c_60,c_1594,c_1665,c_3478,c_16942,c_29625]) ).
cnf(c_31357,plain,
app(sk1,nil) = sk2,
inference(demodulation,[status(thm)],[c_16639,c_31352]) ).
cnf(c_31361,plain,
sk1 = sk2,
inference(light_normalisation,[status(thm)],[c_31357,c_12687]) ).
cnf(c_31407,plain,
~ segmentP(sk2,sk2),
inference(demodulation,[status(thm)],[c_12465,c_31361]) ).
cnf(c_31410,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_31407,c_15149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC061-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:29:26 EDT 2024
% 0.20/0.34 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 10.20/2.13 % SZS status Started for theBenchmark.p
% 10.20/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.13
% 10.20/2.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.20/2.13
% 10.20/2.13 ------ iProver source info
% 10.20/2.13
% 10.20/2.13 git: date: 2024-05-02 19:28:25 +0000
% 10.20/2.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.20/2.13 git: non_committed_changes: false
% 10.20/2.13
% 10.20/2.13 ------ Parsing...successful
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13 ------ Preprocessing... sup_sim: 9 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
% 10.20/2.13
% 10.20/2.13 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.20/2.13
% 10.20/2.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.20/2.13 ------ Proving...
% 10.20/2.13 ------ Problem Properties
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13 clauses 188
% 10.20/2.13 conjectures 4
% 10.20/2.13 EPR 61
% 10.20/2.13 Horn 160
% 10.20/2.13 unary 67
% 10.20/2.13 binary 22
% 10.20/2.13 lits 556
% 10.20/2.13 lits eq 75
% 10.20/2.13 fd_pure 0
% 10.20/2.13 fd_pseudo 0
% 10.20/2.13 fd_cond 16
% 10.20/2.13 fd_pseudo_cond 14
% 10.20/2.13 AC symbols 0
% 10.20/2.13
% 10.20/2.13 ------ Schedule dynamic 5 is on
% 10.20/2.13
% 10.20/2.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13 ------
% 10.20/2.13 Current options:
% 10.20/2.13 ------
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13 ------ Proving...
% 10.20/2.13
% 10.20/2.13
% 10.20/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.13
% 10.20/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.20/2.14
% 10.20/2.14
%------------------------------------------------------------------------------