TSTP Solution File: SWC045-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC045-1 : TPTP v8.2.0. 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 : Mon Jun 24 16:22:07 EDT 2024
% Result : Unsatisfiable 268.32s 35.80s
% Output : CNFRefutation 268.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of clauses : 75 ( 20 unt; 8 nHn; 65 RR)
% Number of literals : 191 ( 35 equ; 120 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 90 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
cnf(c_53,negated_conjecture,
sk2 = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
sk1 != nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
( ~ segmentP(sk4,app(app(cons(X0,nil),X1),cons(X0,nil)))
| ~ ssList(X1)
| ~ ssItem(X0)
| memberP(sk3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ssList(sk5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| segmentP(sk4,app(app(cons(X0,nil),sk5(X0)),cons(X0,nil))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_67,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_70,plain,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
cnf(c_109,plain,
ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(c_117,plain,
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(c_131,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_132,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(c_136,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_137,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_139,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
cnf(c_144,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_145,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)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_175,plain,
( cons(X0,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X0)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(c_178,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(c_190,plain,
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(c_197,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_238,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_249,plain,
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(unflattening,[status(thm)],[c_175]) ).
cnf(c_256,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_197]) ).
cnf(c_261,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_238]) ).
cnf(c_1534,plain,
sk4 = nil,
inference(demodulation,[status(thm)],[c_54,c_53]) ).
cnf(c_1536,plain,
sk3 != nil,
inference(light_normalisation,[status(thm)],[c_56,c_55]) ).
cnf(c_2067,plain,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| segmentP(nil,app(app(cons(X0,nil),sk5(X0)),cons(X0,nil))) ),
inference(light_normalisation,[status(thm)],[c_59,c_1534]) ).
cnf(c_2219,plain,
( ~ segmentP(nil,app(app(cons(X0,nil),X1),cons(X0,nil)))
| ~ ssList(X1)
| ~ ssItem(X0)
| memberP(sk3,X0) ),
inference(light_normalisation,[status(thm)],[c_57,c_1534]) ).
cnf(c_2571,plain,
( cons(X0,nil) != nil
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution_lifted,[status(thm)],[c_70,c_249]) ).
cnf(c_6361,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_131]) ).
cnf(c_6362,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_131]) ).
cnf(c_6363,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_131]) ).
cnf(c_6367,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_8892,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssList(tl(sk3)) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_8893,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_9051,plain,
( ~ ssList(cons(X0,X1))
| ~ ssList(X2)
| ssList(app(X2,cons(X0,X1))) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_10065,plain,
( ~ segmentP(nil,app(app(cons(X0,nil),X1),cons(X0,nil)))
| ~ ssList(app(app(cons(X0,nil),X1),cons(X0,nil)))
| app(app(cons(X0,nil),X1),cons(X0,nil)) = nil ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_10269,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(X0)
| ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_10270,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(nil)
| ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_10269]) ).
cnf(c_28845,plain,
( ~ ssList(app(cons(X0,nil),X1))
| ~ ssList(cons(X0,nil))
| ssList(app(app(cons(X0,nil),X1),cons(X0,nil))) ),
inference(instantiation,[status(thm)],[c_9051]) ).
cnf(c_28848,plain,
( ~ ssList(cons(hd(sk3),X0))
| ~ ssList(X1)
| ssList(app(X1,cons(hd(sk3),X0))) ),
inference(instantiation,[status(thm)],[c_9051]) ).
cnf(c_28849,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(nil)
| ssList(app(nil,cons(hd(sk3),nil))) ),
inference(instantiation,[status(thm)],[c_28848]) ).
cnf(c_39163,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ssList(app(cons(X0,nil),X1)) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_40276,plain,
( ~ ssList(app(X0,cons(hd(sk3),X1)))
| ~ ssList(cons(hd(sk3),X2))
| ssList(app(app(X0,cons(hd(sk3),X1)),cons(hd(sk3),X2))) ),
inference(instantiation,[status(thm)],[c_28848]) ).
cnf(c_40277,plain,
( ~ ssList(app(app(X0,cons(hd(sk3),X1)),cons(hd(sk3),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk3),X1)),cons(hd(sk3),X2)))
| ~ ssItem(hd(sk3))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_40278,plain,
( ~ ssList(app(nil,cons(hd(sk3),nil)))
| ~ ssList(cons(hd(sk3),nil))
| ssList(app(app(nil,cons(hd(sk3),nil)),cons(hd(sk3),nil))) ),
inference(instantiation,[status(thm)],[c_40276]) ).
cnf(c_40279,plain,
( ~ ssList(app(app(nil,cons(hd(sk3),nil)),cons(hd(sk3),nil)))
| ~ duplicatefreeP(app(app(nil,cons(hd(sk3),nil)),cons(hd(sk3),nil)))
| ~ ssItem(hd(sk3))
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_40277]) ).
cnf(c_89489,plain,
( ~ ssList(app(app(X0,cons(hd(sk3),X1)),cons(hd(sk3),X2)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(X0,cons(hd(sk3),X1)),cons(hd(sk3),X2))) ),
inference(instantiation,[status(thm)],[c_6362]) ).
cnf(c_89490,plain,
( ~ ssList(app(app(nil,cons(hd(sk3),nil)),cons(hd(sk3),nil)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(nil,cons(hd(sk3),nil)),cons(hd(sk3),nil))) ),
inference(instantiation,[status(thm)],[c_89489]) ).
cnf(c_114692,plain,
sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_6363,c_51,c_67,c_1536,c_6363,c_8893,c_10270,c_28849,c_40278,c_40279,c_89490]) ).
cnf(c_114694,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6361,c_114692]) ).
cnf(c_212073,plain,
( app(X0,cons(X1,X2)) != nil
| ~ ssList(cons(X1,X2))
| ~ ssList(X0)
| cons(X1,X2) = nil ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_217398,plain,
( app(app(cons(X0,nil),X1),cons(X0,nil)) != nil
| ~ ssList(app(cons(X0,nil),X1))
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = nil ),
inference(instantiation,[status(thm)],[c_212073]) ).
cnf(c_283166,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_145,c_114694]) ).
cnf(c_283238,plain,
app(skaf46(X0,X1),nil) = skaf46(X0,X1),
inference(superposition,[status(thm)],[c_109,c_132]) ).
cnf(c_284215,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| app(skaf46(X0,nil),nil) = X0 ),
inference(superposition,[status(thm)],[c_117,c_190]) ).
cnf(c_284252,plain,
( ~ ssList(X0)
| app(skaf46(X0,nil),nil) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_284215,c_67]) ).
cnf(c_301080,plain,
( ~ ssList(X0)
| skaf46(X0,nil) = X0 ),
inference(demodulation,[status(thm)],[c_284252,c_283238]) ).
cnf(c_302435,plain,
( ~ ssList(X0)
| skaf46(cons(X1,X0),nil) = cons(X1,X0) ),
inference(superposition,[status(thm)],[c_283166,c_301080]) ).
cnf(c_307799,plain,
skaf46(cons(X0,nil),nil) = cons(X0,nil),
inference(superposition,[status(thm)],[c_67,c_302435]) ).
cnf(c_309651,plain,
ssList(cons(X0,nil)),
inference(superposition,[status(thm)],[c_307799,c_109]) ).
cnf(c_501811,plain,
( ~ memberP(sk3,X0)
| segmentP(nil,app(app(cons(X0,nil),sk5(X0)),cons(X0,nil))) ),
inference(global_subsumption_just,[status(thm)],[c_2067,c_51,c_67,c_1536,c_2067,c_6361,c_6363,c_8893,c_10270,c_28849,c_40278,c_40279,c_89490]) ).
cnf(c_501815,plain,
( ~ segmentP(nil,app(app(cons(X0,nil),X1),cons(X0,nil)))
| ~ ssList(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2219,c_51,c_67,c_1536,c_2571,c_6361,c_6363,c_8893,c_10065,c_10270,c_28845,c_28849,c_39163,c_40278,c_40279,c_89490,c_217398,c_309651]) ).
cnf(c_501820,plain,
( ~ ssList(sk5(X0))
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_501811,c_501815]) ).
cnf(c_501832,plain,
( ~ ssList(X0)
| memberP(cons(X1,X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_256,c_114694]) ).
cnf(c_501883,plain,
~ memberP(sk3,X0),
inference(global_subsumption_just,[status(thm)],[c_501820,c_51,c_67,c_58,c_1536,c_6361,c_6363,c_8893,c_10270,c_28849,c_40278,c_40279,c_89490,c_501820]) ).
cnf(c_502675,plain,
( cons(hd(sk3),tl(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_6367,c_163]) ).
cnf(c_502707,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_502675,c_1536]) ).
cnf(c_502824,plain,
( ~ ssList(tl(sk3))
| memberP(sk3,hd(sk3)) ),
inference(superposition,[status(thm)],[c_502707,c_501832]) ).
cnf(c_502827,plain,
~ ssList(tl(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_502824,c_501883]) ).
cnf(c_502828,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_502827,c_8892,c_1536,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC045-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n002.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 Jun 20 02:31:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 268.32/35.80 % SZS status Started for theBenchmark.p
% 268.32/35.80 % SZS status Unsatisfiable for theBenchmark.p
% 268.32/35.80
% 268.32/35.80 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 268.32/35.80
% 268.32/35.80 ------ iProver source info
% 268.32/35.80
% 268.32/35.80 git: date: 2024-06-12 09:56:46 +0000
% 268.32/35.80 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 268.32/35.80 git: non_committed_changes: false
% 268.32/35.80
% 268.32/35.80 ------ Parsing...successful
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80 ------ Preprocessing... sup_sim: 10 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
% 268.32/35.80
% 268.32/35.80 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 268.32/35.80
% 268.32/35.80 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 268.32/35.80 ------ Proving...
% 268.32/35.80 ------ Problem Properties
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80 clauses 185
% 268.32/35.80 conjectures 4
% 268.32/35.80 EPR 57
% 268.32/35.80 Horn 157
% 268.32/35.80 unary 63
% 268.32/35.80 binary 21
% 268.32/35.80 lits 556
% 268.32/35.80 lits eq 73
% 268.32/35.80 fd_pure 0
% 268.32/35.80 fd_pseudo 0
% 268.32/35.80 fd_cond 15
% 268.32/35.80 fd_pseudo_cond 14
% 268.32/35.80 AC symbols 0
% 268.32/35.80
% 268.32/35.80 ------ Input Options Time Limit: Unbounded
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80 ------
% 268.32/35.80 Current options:
% 268.32/35.80 ------
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80 ------ Proving...
% 268.32/35.80
% 268.32/35.80
% 268.32/35.80 % SZS status Unsatisfiable for theBenchmark.p
% 268.32/35.80
% 268.32/35.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 268.32/35.80
% 268.32/35.81
%------------------------------------------------------------------------------