TSTP Solution File: SWC240-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC240-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 03:11:42 EDT 2024
% Result : Unsatisfiable 44.45s 6.70s
% Output : CNFRefutation 44.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 33
% Syntax : Number of clauses : 132 ( 47 unt; 4 nHn; 118 RR)
% Number of literals : 334 ( 69 equ; 215 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 120 ( 17 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_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
sk1 != nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_57,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(X0,sk5(X2,X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_61,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| X0 = sk6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(c_70,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_74,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_75,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_112,plain,
ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(c_113,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_114,plain,
ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(c_115,plain,
ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(c_133,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_134,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_136,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_147,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_148,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_158,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_171,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_182,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_193,plain,
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(c_194,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(c_200,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_205,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(c_206,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(c_213,plain,
( app(X0,X1) != app(X2,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(c_219,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(c_231,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_236,plain,
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| frontsegP(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
cnf(c_240,plain,
( X0 != X1
| ~ frontsegP(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X1)
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).
cnf(c_241,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_257,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_206]) ).
cnf(c_258,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(unflattening,[status(thm)],[c_205]) ).
cnf(c_259,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_200]) ).
cnf(c_263,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X2,X1)) ),
inference(unflattening,[status(thm)],[c_240]) ).
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_241]) ).
cnf(c_639,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_258,c_147]) ).
cnf(c_640,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_257,c_147]) ).
cnf(c_1771,plain,
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| X0 = sk6 ),
inference(light_normalisation,[status(thm)],[c_62,c_54]) ).
cnf(c_6500,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_134]) ).
cnf(c_6501,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_134]) ).
cnf(c_6502,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_134]) ).
cnf(c_6503,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_6507,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(X0,sk5(X2,X0,X1)) ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_6509,negated_conjecture,
sk1 != nil,
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_6512,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6513,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_9454,plain,
app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_75,c_136]) ).
cnf(c_9477,plain,
app(nil,skaf46(X0,X1)) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_112,c_136]) ).
cnf(c_10893,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_6513,c_171]) ).
cnf(c_10928,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_10893,c_6509]) ).
cnf(c_11062,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_6513,c_182]) ).
cnf(c_11063,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_6512,c_182]) ).
cnf(c_11329,plain,
( ~ ssList(skaf82(sk1))
| ~ ssItem(skaf83(sk1))
| memberP(sk1,skaf83(sk1)) ),
inference(superposition,[status(thm)],[c_10928,c_259]) ).
cnf(c_11333,plain,
memberP(sk1,skaf83(sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_11329,c_74,c_75]) ).
cnf(c_11391,plain,
app(cons(sk6,nil),sk1) = cons(sk6,sk1),
inference(superposition,[status(thm)],[c_6503,c_11062]) ).
cnf(c_11467,plain,
( ~ ssList(cons(sk6,nil))
| ~ ssList(sk1)
| ssList(cons(sk6,sk1)) ),
inference(superposition,[status(thm)],[c_11391,c_147]) ).
cnf(c_11471,plain,
( ~ ssList(cons(sk6,nil))
| ssList(cons(sk6,sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11467,c_6513]) ).
cnf(c_11488,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| ssList(cons(sk6,sk1)) ),
inference(superposition,[status(thm)],[c_148,c_11471]) ).
cnf(c_11489,plain,
ssList(cons(sk6,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_11488,c_6503,c_70]) ).
cnf(c_11657,plain,
( ~ ssItem(skaf83(sk1))
| skaf83(sk1) = sk6 ),
inference(superposition,[status(thm)],[c_11333,c_1771]) ).
cnf(c_11658,plain,
skaf83(sk1) = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_11657,c_74]) ).
cnf(c_11659,plain,
memberP(sk1,sk6),
inference(demodulation,[status(thm)],[c_11333,c_11658]) ).
cnf(c_11660,plain,
cons(sk6,skaf82(sk1)) = sk1,
inference(demodulation,[status(thm)],[c_10928,c_11658]) ).
cnf(c_11679,plain,
app(cons(sk6,nil),sk2) = cons(sk6,sk2),
inference(superposition,[status(thm)],[c_6503,c_11063]) ).
cnf(c_11739,plain,
( ~ ssList(cons(sk6,nil))
| ~ ssList(sk2)
| ssList(cons(sk6,sk2)) ),
inference(superposition,[status(thm)],[c_11679,c_147]) ).
cnf(c_11743,plain,
( ~ ssList(cons(sk6,nil))
| ~ ssList(sk2)
| rearsegP(cons(sk6,sk2),sk2) ),
inference(superposition,[status(thm)],[c_11679,c_639]) ).
cnf(c_11744,plain,
( ~ ssList(cons(sk6,nil))
| ssList(cons(sk6,sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11739,c_6512]) ).
cnf(c_11747,plain,
( ~ ssList(cons(sk6,nil))
| rearsegP(cons(sk6,sk2),sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11743,c_6512]) ).
cnf(c_11765,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| ssList(cons(sk6,sk2)) ),
inference(superposition,[status(thm)],[c_148,c_11744]) ).
cnf(c_11766,plain,
ssList(cons(sk6,sk2)),
inference(forward_subsumption_resolution,[status(thm)],[c_11765,c_6503,c_70]) ).
cnf(c_12933,plain,
( ~ ssList(cons(sk6,sk2))
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk2)
| app(skaf46(cons(sk6,sk2),sk2),sk2) = cons(sk6,sk2) ),
inference(superposition,[status(thm)],[c_11747,c_193]) ).
cnf(c_12969,plain,
( ~ ssList(cons(sk6,nil))
| app(skaf46(cons(sk6,sk2),sk2),sk2) = cons(sk6,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12933,c_6512,c_11766]) ).
cnf(c_13189,plain,
( ~ ssList(skaf82(X0))
| ~ ssList(nil)
| frontsegP(skaf82(X0),nil) ),
inference(superposition,[status(thm)],[c_9454,c_640]) ).
cnf(c_13191,plain,
frontsegP(skaf82(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_13189,c_70,c_75]) ).
cnf(c_15555,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,app(X0,sk1)) = app(cons(X1,X0),sk1) ),
inference(superposition,[status(thm)],[c_6513,c_219]) ).
cnf(c_16043,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| app(skaf46(cons(sk6,sk2),sk2),sk2) = cons(sk6,sk2) ),
inference(superposition,[status(thm)],[c_148,c_12969]) ).
cnf(c_16044,plain,
app(skaf46(cons(sk6,sk2),sk2),sk2) = cons(sk6,sk2),
inference(forward_subsumption_resolution,[status(thm)],[c_16043,c_6503,c_70]) ).
cnf(c_16857,plain,
( app(X0,sk2) != cons(sk6,sk2)
| ~ ssList(cons(sk6,nil))
| ~ ssList(X0)
| ~ ssList(sk2)
| cons(sk6,nil) = X0 ),
inference(superposition,[status(thm)],[c_11679,c_213]) ).
cnf(c_17048,plain,
( app(X0,sk2) != cons(sk6,sk2)
| ~ ssList(cons(sk6,nil))
| ~ ssList(X0)
| cons(sk6,nil) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_16857,c_6512]) ).
cnf(c_19442,plain,
( ~ ssList(sk1)
| ~ ssItem(sk6)
| app(skaf42(sk1,sk6),cons(sk6,skaf43(sk6,sk1))) = sk1 ),
inference(superposition,[status(thm)],[c_11659,c_231]) ).
cnf(c_19444,plain,
app(skaf42(sk1,sk6),cons(sk6,skaf43(sk6,sk1))) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_19442,c_6503,c_6513]) ).
cnf(c_23205,plain,
( ~ duplicatefreeP(app(app(skaf42(sk1,sk6),cons(sk6,skaf43(sk6,sk1))),cons(sk6,X0)))
| ~ ssList(app(sk1,cons(sk6,X0)))
| ~ ssList(skaf43(sk6,sk1))
| ~ ssList(skaf42(sk1,sk6))
| ~ ssList(X0)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_19444,c_264]) ).
cnf(c_23233,plain,
( ~ ssList(app(sk1,cons(sk6,X0)))
| ~ duplicatefreeP(app(sk1,cons(sk6,X0)))
| ~ ssList(skaf43(sk6,sk1))
| ~ ssList(skaf42(sk1,sk6))
| ~ ssList(X0)
| ~ ssItem(sk6) ),
inference(light_normalisation,[status(thm)],[c_23205,c_19444]) ).
cnf(c_23234,plain,
( ~ ssList(app(sk1,cons(sk6,X0)))
| ~ duplicatefreeP(app(sk1,cons(sk6,X0)))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23233,c_6503,c_115,c_114]) ).
cnf(c_25795,plain,
( ~ duplicatefreeP(app(sk1,cons(sk6,X0)))
| ~ ssList(cons(sk6,X0))
| ~ ssList(X0)
| ~ ssList(sk1) ),
inference(superposition,[status(thm)],[c_147,c_23234]) ).
cnf(c_25796,plain,
( ~ duplicatefreeP(app(sk1,cons(sk6,X0)))
| ~ ssList(cons(sk6,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25795,c_6513]) ).
cnf(c_27523,plain,
( ~ frontsegP(skaf82(sk1),X0)
| ~ ssList(skaf82(sk1))
| ~ ssList(X0)
| ~ ssItem(sk6)
| frontsegP(sk1,cons(sk6,X0)) ),
inference(superposition,[status(thm)],[c_11660,c_263]) ).
cnf(c_27532,plain,
( ~ ssList(cons(sk6,skaf82(sk1)))
| ~ duplicatefreeP(app(sk1,sk1))
| ~ ssList(skaf82(sk1)) ),
inference(superposition,[status(thm)],[c_11660,c_25796]) ).
cnf(c_27534,plain,
( ~ duplicatefreeP(app(sk1,sk1))
| ~ ssList(skaf82(sk1))
| ~ ssList(sk1) ),
inference(light_normalisation,[status(thm)],[c_27532,c_11660]) ).
cnf(c_27535,plain,
~ duplicatefreeP(app(sk1,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_27534,c_6513,c_75]) ).
cnf(c_27546,plain,
( ~ frontsegP(skaf82(sk1),X0)
| ~ ssList(X0)
| frontsegP(sk1,cons(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27523,c_6503,c_75]) ).
cnf(c_27811,plain,
( ~ ssList(cons(sk6,X0))
| ~ frontsegP(skaf82(sk1),X0)
| ~ ssList(X0)
| ~ ssList(sk1)
| app(cons(sk6,X0),skaf45(sk1,cons(sk6,X0))) = sk1 ),
inference(superposition,[status(thm)],[c_27546,c_194]) ).
cnf(c_27819,plain,
( ~ ssList(cons(sk6,X0))
| ~ frontsegP(skaf82(sk1),X0)
| ~ ssList(X0)
| app(cons(sk6,X0),skaf45(sk1,cons(sk6,X0))) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_27811,c_6513]) ).
cnf(c_29212,plain,
( ~ ssList(X0)
| ~ ssItem(sk6)
| ssList(cons(sk6,X0)) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_29213,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| ssList(cons(sk6,nil)) ),
inference(instantiation,[status(thm)],[c_29212]) ).
cnf(c_33518,plain,
( ~ ssItem(X0)
| cons(X0,app(sk1,sk1)) = app(cons(X0,sk1),sk1) ),
inference(superposition,[status(thm)],[c_6513,c_15555]) ).
cnf(c_33740,plain,
cons(sk6,app(sk1,sk1)) = app(cons(sk6,sk1),sk1),
inference(superposition,[status(thm)],[c_6503,c_33518]) ).
cnf(c_33870,plain,
( ~ ssList(cons(sk6,sk1))
| ~ ssList(sk1)
| frontsegP(cons(sk6,app(sk1,sk1)),cons(sk6,sk1)) ),
inference(superposition,[status(thm)],[c_33740,c_640]) ).
cnf(c_33893,plain,
frontsegP(cons(sk6,app(sk1,sk1)),cons(sk6,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_33870,c_6513,c_11489]) ).
cnf(c_34279,plain,
( ~ ssList(app(sk1,sk1))
| ~ ssList(sk1)
| ~ ssItem(sk6)
| frontsegP(app(sk1,sk1),sk1) ),
inference(superposition,[status(thm)],[c_33893,c_236]) ).
cnf(c_34280,plain,
( ~ ssList(app(sk1,sk1))
| frontsegP(app(sk1,sk1),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34279,c_6503,c_6513]) ).
cnf(c_34447,plain,
( ~ ssList(app(sk1,sk1))
| ~ ssList(sk1)
| app(sk1,skaf45(app(sk1,sk1),sk1)) = app(sk1,sk1) ),
inference(superposition,[status(thm)],[c_34280,c_194]) ).
cnf(c_34453,plain,
( ~ ssList(app(sk1,sk1))
| app(sk1,skaf45(app(sk1,sk1),sk1)) = app(sk1,sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34447,c_6513]) ).
cnf(c_35973,plain,
( ~ ssList(sk1)
| app(sk1,skaf45(app(sk1,sk1),sk1)) = app(sk1,sk1) ),
inference(superposition,[status(thm)],[c_147,c_34453]) ).
cnf(c_35974,plain,
app(sk1,skaf45(app(sk1,sk1),sk1)) = app(sk1,sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_35973,c_6513]) ).
cnf(c_35975,plain,
( ~ ssList(skaf45(app(sk1,sk1),sk1))
| ~ ssList(sk1)
| ssList(app(sk1,sk1)) ),
inference(superposition,[status(thm)],[c_35974,c_147]) ).
cnf(c_35995,plain,
ssList(app(sk1,sk1)),
inference(forward_subsumption_resolution,[status(thm)],[c_35975,c_6513,c_113]) ).
cnf(c_36211,plain,
( ~ sP1_iProver_def
| duplicatefreeP(app(sk1,sk1)) ),
inference(superposition,[status(thm)],[c_35995,c_6501]) ).
cnf(c_36212,plain,
~ sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_36211,c_27535]) ).
cnf(c_36264,plain,
sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_6502,c_36212]) ).
cnf(c_36269,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6500,c_36264]) ).
cnf(c_36344,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_158,c_36269]) ).
cnf(c_36346,plain,
~ memberP(nil,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_133,c_36269]) ).
cnf(c_36360,plain,
( app(app(X0,cons(X1,nil)),X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X0,sk5(X2,X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6507,c_36269]) ).
cnf(c_44611,plain,
( app(X0,sk2) != cons(sk6,sk2)
| ~ ssList(X0)
| cons(sk6,nil) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_17048,c_61,c_70,c_17048,c_29213]) ).
cnf(c_44621,plain,
( ~ ssList(skaf46(cons(sk6,sk2),sk2))
| skaf46(cons(sk6,sk2),sk2) = cons(sk6,nil) ),
inference(superposition,[status(thm)],[c_16044,c_44611]) ).
cnf(c_44633,plain,
skaf46(cons(sk6,sk2),sk2) = cons(sk6,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_44621,c_112]) ).
cnf(c_52601,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_75,c_36344]) ).
cnf(c_52962,plain,
skaf82(sk1) = tl(sk1),
inference(superposition,[status(thm)],[c_11660,c_52601]) ).
cnf(c_53276,plain,
frontsegP(tl(sk1),nil),
inference(superposition,[status(thm)],[c_52962,c_13191]) ).
cnf(c_56563,plain,
app(nil,cons(sk6,nil)) = cons(sk6,nil),
inference(superposition,[status(thm)],[c_44633,c_9477]) ).
cnf(c_56896,plain,
( ~ frontsegP(skaf82(sk1),X0)
| ~ ssList(X0)
| app(cons(sk6,X0),skaf45(sk1,cons(sk6,X0))) = sk1 ),
inference(global_subsumption_just,[status(thm)],[c_27819,c_61,c_27819,c_29212]) ).
cnf(c_56899,plain,
( ~ frontsegP(tl(sk1),X0)
| ~ ssList(X0)
| app(cons(sk6,X0),skaf45(sk1,cons(sk6,X0))) = sk1 ),
inference(light_normalisation,[status(thm)],[c_56896,c_52962]) ).
cnf(c_56908,plain,
( ~ ssList(nil)
| app(cons(sk6,nil),skaf45(sk1,cons(sk6,nil))) = sk1 ),
inference(superposition,[status(thm)],[c_53276,c_56899]) ).
cnf(c_56910,plain,
app(cons(sk6,nil),skaf45(sk1,cons(sk6,nil))) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_56908,c_70]) ).
cnf(c_61118,plain,
( app(cons(sk6,nil),X0) != sk1
| ~ ssList(X0)
| ~ ssList(nil)
| memberP(nil,sk5(X0,nil,sk6)) ),
inference(superposition,[status(thm)],[c_56563,c_36360]) ).
cnf(c_61151,plain,
( app(cons(sk6,nil),X0) != sk1
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61118,c_36346,c_70]) ).
cnf(c_125702,plain,
~ ssList(skaf45(sk1,cons(sk6,nil))),
inference(superposition,[status(thm)],[c_56910,c_61151]) ).
cnf(c_125703,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_125702,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC240-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n025.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 : Thu May 2 23:50:58 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 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
% 44.45/6.70 % SZS status Started for theBenchmark.p
% 44.45/6.70 % SZS status Unsatisfiable for theBenchmark.p
% 44.45/6.70
% 44.45/6.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 44.45/6.70
% 44.45/6.70 ------ iProver source info
% 44.45/6.70
% 44.45/6.70 git: date: 2024-05-02 19:28:25 +0000
% 44.45/6.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 44.45/6.70 git: non_committed_changes: false
% 44.45/6.70
% 44.45/6.70 ------ Parsing...successful
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70 ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 44.45/6.70
% 44.45/6.70 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 44.45/6.70
% 44.45/6.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 44.45/6.70 ------ Proving...
% 44.45/6.70 ------ Problem Properties
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70 clauses 189
% 44.45/6.70 conjectures 11
% 44.45/6.70 EPR 59
% 44.45/6.70 Horn 161
% 44.45/6.70 unary 64
% 44.45/6.70 binary 21
% 44.45/6.70 lits 575
% 44.45/6.70 lits eq 78
% 44.45/6.70 fd_pure 0
% 44.45/6.70 fd_pseudo 0
% 44.45/6.70 fd_cond 16
% 44.45/6.70 fd_pseudo_cond 14
% 44.45/6.70 AC symbols 0
% 44.45/6.70
% 44.45/6.70 ------ Schedule dynamic 5 is on
% 44.45/6.70
% 44.45/6.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70 ------
% 44.45/6.70 Current options:
% 44.45/6.70 ------
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70 ------ Proving...
% 44.45/6.70
% 44.45/6.70
% 44.45/6.70 % SZS status Unsatisfiable for theBenchmark.p
% 44.45/6.70
% 44.45/6.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 44.45/6.70
% 44.45/6.70
%------------------------------------------------------------------------------