TSTP Solution File: SWC382-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC382-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 03:12:15 EDT 2024
% Result : Unsatisfiable 99.85s 14.21s
% Output : CNFRefutation 99.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 34
% Syntax : Number of clauses : 155 ( 60 unt; 17 nHn; 135 RR)
% Number of literals : 377 ( 106 equ; 226 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 115 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(c_50,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(c_53,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1)
| ~ singletonP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_68,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_72,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_73,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_107,plain,
ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(c_112,plain,
ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(c_113,plain,
ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(c_132,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_134,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_138,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_145,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_146,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_156,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_157,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_158,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(c_160,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_161,plain,
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(c_164,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_169,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_175,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_176,plain,
( cons(X0,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X0)
| singletonP(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(c_198,plain,
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
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/sandbox/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_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_1730,plain,
( ~ neq(sk2,nil)
| ~ segmentP(sk2,sk1)
| ~ singletonP(sk1) ),
inference(light_normalisation,[status(thm)],[c_60,c_53]) ).
cnf(c_1731,plain,
( ~ segmentP(sk2,sk1)
| ~ singletonP(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1730,c_398]) ).
cnf(c_2370,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_2371,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2370,c_398]) ).
cnf(c_2836,plain,
( X0 != sk2
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_398,c_251]) ).
cnf(c_2837,plain,
( sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_2836]) ).
cnf(c_2838,plain,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_2837,c_50,c_2837]) ).
cnf(c_2873,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_2371]) ).
cnf(c_2874,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_2873]) ).
cnf(c_2875,plain,
( cons(hd(sk2),nil) = sk1
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil)) ),
inference(global_subsumption_just,[status(thm)],[c_2874,c_50,c_68,c_2837,c_2874]) ).
cnf(c_2876,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(renaming,[status(thm)],[c_2875]) ).
cnf(c_6405,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_132]) ).
cnf(c_6406,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_132]) ).
cnf(c_6407,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_132]) ).
cnf(c_6410,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6411,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_9237,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_6411,c_134]) ).
cnf(c_9362,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_9237,c_260]) ).
cnf(c_9363,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_9362,c_9237]) ).
cnf(c_9364,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9363,c_68,c_6411]) ).
cnf(c_9421,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| cons(hd(sk2),nil) = sk1 ),
inference(superposition,[status(thm)],[c_146,c_2876]) ).
cnf(c_9429,plain,
( ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9421,c_68]) ).
cnf(c_9482,plain,
( ~ ssList(sk2)
| cons(hd(sk2),nil) = sk1
| sk2 = nil ),
inference(superposition,[status(thm)],[c_138,c_9429]) ).
cnf(c_9485,plain,
cons(hd(sk2),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_9482,c_2838,c_6410]) ).
cnf(c_9493,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| singletonP(cons(hd(sk2),nil)) ),
inference(superposition,[status(thm)],[c_9485,c_250]) ).
cnf(c_9509,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| singletonP(sk1) ),
inference(light_normalisation,[status(thm)],[c_9493,c_9485]) ).
cnf(c_9510,plain,
( ~ ssItem(hd(sk2))
| singletonP(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9509,c_6411]) ).
cnf(c_9518,plain,
( ~ ssList(sk2)
| sk2 = nil
| singletonP(sk1) ),
inference(superposition,[status(thm)],[c_138,c_9510]) ).
cnf(c_9521,plain,
singletonP(sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_9518,c_2838,c_6410]) ).
cnf(c_9722,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| memberP(sk1,hd(sk2)) ),
inference(superposition,[status(thm)],[c_9485,c_257]) ).
cnf(c_9723,plain,
( ~ ssItem(hd(sk2))
| memberP(sk1,hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9722,c_68]) ).
cnf(c_9818,plain,
( ~ ssItem(X0)
| tl(cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_68,c_156]) ).
cnf(c_9961,plain,
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(superposition,[status(thm)],[c_68,c_157]) ).
cnf(c_9962,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_73,c_157]) ).
cnf(c_10166,plain,
( sk1 != nil
| ~ ssItem(hd(sk2))
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9485,c_158]) ).
cnf(c_10167,plain,
( sk1 != nil
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10166,c_68]) ).
cnf(c_10266,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssItem(hd(sk2)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_10452,plain,
( ~ ssList(sk1)
| cons(skaf44(sk1),nil) = sk1 ),
inference(superposition,[status(thm)],[c_9521,c_161]) ).
cnf(c_10453,plain,
cons(skaf44(sk1),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_10452,c_6411]) ).
cnf(c_10605,plain,
( cons(hd(sk1),tl(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_6411,c_164]) ).
cnf(c_10782,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_6410,c_169]) ).
cnf(c_10814,plain,
cons(skaf83(sk2),skaf82(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10782,c_2838]) ).
cnf(c_10951,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_6411,c_180]) ).
cnf(c_10952,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_6410,c_180]) ).
cnf(c_11146,plain,
cons(hd(sk1),tl(sk1)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_10605,c_50,c_2837,c_10167,c_10266,c_10605]) ).
cnf(c_14419,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,X0),sk2) = app(X1,app(X0,sk2)) ),
inference(superposition,[status(thm)],[c_6410,c_209]) ).
cnf(c_19691,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(sk1)
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(superposition,[status(thm)],[c_9723,c_229]) ).
cnf(c_19696,plain,
( ~ ssItem(hd(sk2))
| app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_19691,c_6411]) ).
cnf(c_24345,plain,
( ~ ssList(X0)
| app(app(X0,sk1),sk2) = app(X0,app(sk1,sk2)) ),
inference(superposition,[status(thm)],[c_6411,c_14419]) ).
cnf(c_24567,plain,
app(app(sk1,sk1),sk2) = app(sk1,app(sk1,sk2)),
inference(superposition,[status(thm)],[c_6411,c_24345]) ).
cnf(c_24819,plain,
( ~ ssList(app(sk1,sk1))
| ~ ssList(sk2)
| ssList(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_24567,c_145]) ).
cnf(c_24838,plain,
( ~ ssList(app(sk1,sk1))
| ssList(app(sk1,app(sk1,sk2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24819,c_6410]) ).
cnf(c_30171,plain,
app(skaf42(sk1,hd(sk2)),cons(hd(sk2),skaf43(hd(sk2),sk1))) = sk1,
inference(global_subsumption_just,[status(thm)],[c_19696,c_50,c_2837,c_10266,c_19696]) ).
cnf(c_34498,plain,
tl(cons(skaf44(X0),nil)) = nil,
inference(superposition,[status(thm)],[c_107,c_9818]) ).
cnf(c_35982,plain,
tl(sk1) = nil,
inference(superposition,[status(thm)],[c_10453,c_34498]) ).
cnf(c_35984,plain,
cons(hd(sk1),nil) = sk1,
inference(demodulation,[status(thm)],[c_11146,c_35982]) ).
cnf(c_37266,plain,
hd(cons(skaf83(X0),nil)) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_9961]) ).
cnf(c_37280,plain,
hd(cons(skaf44(X0),nil)) = skaf44(X0),
inference(superposition,[status(thm)],[c_107,c_9961]) ).
cnf(c_39498,plain,
hd(sk1) = skaf44(sk1),
inference(superposition,[status(thm)],[c_10453,c_37280]) ).
cnf(c_39542,plain,
ssItem(hd(sk1)),
inference(superposition,[status(thm)],[c_39498,c_107]) ).
cnf(c_39599,plain,
app(cons(hd(sk1),nil),sk2) = cons(hd(sk1),sk2),
inference(superposition,[status(thm)],[c_39542,c_10952]) ).
cnf(c_39600,plain,
app(cons(hd(sk1),nil),sk1) = cons(hd(sk1),sk1),
inference(superposition,[status(thm)],[c_39542,c_10951]) ).
cnf(c_39607,plain,
cons(hd(sk1),sk1) = app(sk1,sk1),
inference(light_normalisation,[status(thm)],[c_39600,c_35984]) ).
cnf(c_39608,plain,
cons(hd(sk1),sk2) = app(sk1,sk2),
inference(light_normalisation,[status(thm)],[c_39599,c_35984]) ).
cnf(c_41178,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(sk1)
| ssList(app(sk1,sk1)) ),
inference(superposition,[status(thm)],[c_39607,c_146]) ).
cnf(c_41206,plain,
ssList(app(sk1,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_41178,c_6411,c_39542]) ).
cnf(c_41391,plain,
ssList(app(sk1,app(sk1,sk2))),
inference(backward_subsumption_resolution,[status(thm)],[c_24838,c_41206]) ).
cnf(c_42330,plain,
( ~ sP1_iProver_def
| duplicatefreeP(app(sk1,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_41391,c_6406]) ).
cnf(c_52253,plain,
( ~ ssList(X0)
| ~ ssList(sk1)
| ssList(app(sk1,X0)) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_69848,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_72,c_9962]) ).
cnf(c_69955,plain,
hd(sk2) = skaf83(sk2),
inference(superposition,[status(thm)],[c_10814,c_69848]) ).
cnf(c_70035,plain,
hd(cons(hd(sk2),nil)) = hd(sk2),
inference(superposition,[status(thm)],[c_69955,c_37266]) ).
cnf(c_70041,plain,
ssItem(hd(sk2)),
inference(superposition,[status(thm)],[c_69955,c_72]) ).
cnf(c_70043,plain,
hd(sk1) = hd(sk2),
inference(light_normalisation,[status(thm)],[c_70035,c_9485]) ).
cnf(c_70065,plain,
cons(hd(sk2),sk2) = app(sk1,sk2),
inference(demodulation,[status(thm)],[c_39608,c_70043]) ).
cnf(c_74883,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_70065,c_264]) ).
cnf(c_74913,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_74883,c_70065]) ).
cnf(c_74914,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_74913,c_6410,c_70041]) ).
cnf(c_98820,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_6411,c_134]) ).
cnf(c_106051,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_98820,c_260]) ).
cnf(c_106093,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_106051,c_98820]) ).
cnf(c_106094,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106093,c_68,c_6411]) ).
cnf(c_106512,plain,
( ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(global_subsumption_just,[status(thm)],[c_106094,c_49,c_9364,c_52253]) ).
cnf(c_162696,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_30171,c_74914]) ).
cnf(c_162735,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_162696,c_30171]) ).
cnf(c_162736,plain,
~ duplicatefreeP(app(sk1,app(sk1,sk2))),
inference(forward_subsumption_resolution,[status(thm)],[c_162735,c_113,c_112,c_41391]) ).
cnf(c_162737,plain,
~ sP1_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_42330,c_162736]) ).
cnf(c_162738,plain,
sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_6407,c_162737]) ).
cnf(c_162766,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6405,c_162738]) ).
cnf(c_162978,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_180,c_162766]) ).
cnf(c_162989,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_156,c_162766]) ).
cnf(c_190746,plain,
~ segmentP(sk2,sk1),
inference(global_subsumption_just,[status(thm)],[c_1731,c_1731,c_9521]) ).
cnf(c_190748,plain,
cons(hd(sk2),nil) = sk1,
inference(global_subsumption_just,[status(thm)],[c_2876,c_9485]) ).
cnf(c_190864,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_6411,c_134]) ).
cnf(c_190920,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_190864,c_260]) ).
cnf(c_190921,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_190920,c_190864]) ).
cnf(c_190922,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190921,c_68,c_6411]) ).
cnf(c_190948,plain,
( ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(global_subsumption_just,[status(thm)],[c_190922,c_106512]) ).
cnf(c_191546,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_156,c_162989]) ).
cnf(c_191555,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_73,c_191546]) ).
cnf(c_191858,plain,
( cons(hd(sk2),tl(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_6410,c_164]) ).
cnf(c_191890,plain,
cons(hd(sk2),tl(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_191858,c_2838]) ).
cnf(c_191983,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_6410,c_169]) ).
cnf(c_192015,plain,
cons(skaf83(sk2),skaf82(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_191983,c_2838]) ).
cnf(c_192164,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_180,c_162978]) ).
cnf(c_192173,plain,
app(cons(X0,nil),skaf82(X1)) = cons(X0,skaf82(X1)),
inference(superposition,[status(thm)],[c_73,c_192164]) ).
cnf(c_204189,plain,
skaf82(sk2) = tl(sk2),
inference(superposition,[status(thm)],[c_192015,c_191555]) ).
cnf(c_207234,plain,
ssList(tl(sk2)),
inference(superposition,[status(thm)],[c_204189,c_73]) ).
cnf(c_264605,plain,
cons(hd(sk2),skaf82(X0)) = app(sk1,skaf82(X0)),
inference(superposition,[status(thm)],[c_190748,c_192173]) ).
cnf(c_268654,plain,
cons(hd(sk2),tl(sk2)) = app(sk1,tl(sk2)),
inference(superposition,[status(thm)],[c_204189,c_264605]) ).
cnf(c_268719,plain,
app(sk1,tl(sk2)) = sk2,
inference(light_normalisation,[status(thm)],[c_268654,c_191890]) ).
cnf(c_269665,plain,
( ~ ssList(tl(sk2))
| segmentP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_268719,c_190948]) ).
cnf(c_269669,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_269665,c_190746,c_207234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWC382-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:49:42 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 99.85/14.21 % SZS status Started for theBenchmark.p
% 99.85/14.21 % SZS status Unsatisfiable for theBenchmark.p
% 99.85/14.21
% 99.85/14.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 99.85/14.21
% 99.85/14.21 ------ iProver source info
% 99.85/14.21
% 99.85/14.21 git: date: 2024-05-02 19:28:25 +0000
% 99.85/14.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 99.85/14.21 git: non_committed_changes: false
% 99.85/14.21
% 99.85/14.21 ------ Parsing...successful
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21 ------ 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
% 99.85/14.21
% 99.85/14.21 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 99.85/14.21
% 99.85/14.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 99.85/14.21 ------ Proving...
% 99.85/14.21 ------ Problem Properties
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21 clauses 184
% 99.85/14.21 conjectures 4
% 99.85/14.21 EPR 58
% 99.85/14.21 Horn 156
% 99.85/14.21 unary 63
% 99.85/14.21 binary 22
% 99.85/14.21 lits 551
% 99.85/14.21 lits eq 73
% 99.85/14.21 fd_pure 0
% 99.85/14.21 fd_pseudo 0
% 99.85/14.21 fd_cond 15
% 99.85/14.21 fd_pseudo_cond 14
% 99.85/14.21 AC symbols 0
% 99.85/14.21
% 99.85/14.21 ------ Schedule dynamic 5 is on
% 99.85/14.21
% 99.85/14.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21 ------
% 99.85/14.21 Current options:
% 99.85/14.21 ------
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21 ------ Proving...
% 99.85/14.21 Proof_search_loop: time out after: 6228 full_loop iterations
% 99.85/14.21
% 99.85/14.21 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21 ------
% 99.85/14.21 Current options:
% 99.85/14.21 ------
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21 ------ Proving...
% 99.85/14.21
% 99.85/14.21
% 99.85/14.21 % SZS status Unsatisfiable for theBenchmark.p
% 99.85/14.21
% 99.85/14.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 99.85/14.21
% 99.85/14.22
%------------------------------------------------------------------------------