TSTP Solution File: SWC045-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC045-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 03:11:00 EDT 2024
% Result : Unsatisfiable 253.45s 34.24s
% Output : CNFRefutation 253.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of clauses : 74 ( 19 unt; 8 nHn; 64 RR)
% Number of literals : 190 ( 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_110,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_119,plain,
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(c_131,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_133,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
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_191,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_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(light_normalisation,[status(thm)],[c_53,c_54]) ).
cnf(c_1537,plain,
sk3 != nil,
inference(light_normalisation,[status(thm)],[c_56,c_55]) ).
cnf(c_2068,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_2217,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_2565,plain,
( cons(X0,nil) != nil
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution_lifted,[status(thm)],[c_70,c_249]) ).
cnf(c_6355,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_131]) ).
cnf(c_6356,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_131]) ).
cnf(c_6357,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_131]) ).
cnf(c_8882,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssList(tl(sk3)) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_8883,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_9041,plain,
( ~ ssList(cons(X0,X1))
| ~ ssList(X2)
| ssList(app(X2,cons(X0,X1))) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_10055,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_10259,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(X0)
| ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_10260,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(nil)
| ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_10259]) ).
cnf(c_29042,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_9041]) ).
cnf(c_29045,plain,
( ~ ssList(cons(hd(sk3),X0))
| ~ ssList(X1)
| ssList(app(X1,cons(hd(sk3),X0))) ),
inference(instantiation,[status(thm)],[c_9041]) ).
cnf(c_29046,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(nil)
| ssList(app(nil,cons(hd(sk3),nil))) ),
inference(instantiation,[status(thm)],[c_29045]) ).
cnf(c_39362,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ssList(app(cons(X0,nil),X1)) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_40518,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_29045]) ).
cnf(c_40519,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_40520,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_40518]) ).
cnf(c_40521,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_40519]) ).
cnf(c_89854,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_6356]) ).
cnf(c_89855,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_89854]) ).
cnf(c_115495,plain,
sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_6357,c_51,c_67,c_1537,c_6357,c_8883,c_10260,c_29046,c_40520,c_40521,c_89855]) ).
cnf(c_115497,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6355,c_115495]) ).
cnf(c_213388,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_218699,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_213388]) ).
cnf(c_280097,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_145,c_115497]) ).
cnf(c_280202,plain,
app(nil,skaf45(X0,X1)) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_110,c_133]) ).
cnf(c_281654,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| app(nil,skaf45(X0,nil)) = X0 ),
inference(superposition,[status(thm)],[c_119,c_191]) ).
cnf(c_281671,plain,
( ~ ssList(X0)
| app(nil,skaf45(X0,nil)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_281654,c_67]) ).
cnf(c_300827,plain,
( ~ ssList(X0)
| skaf45(X0,nil) = X0 ),
inference(demodulation,[status(thm)],[c_281671,c_280202]) ).
cnf(c_303015,plain,
( ~ ssList(X0)
| skaf45(cons(X1,X0),nil) = cons(X1,X0) ),
inference(superposition,[status(thm)],[c_280097,c_300827]) ).
cnf(c_303072,plain,
skaf45(cons(X0,nil),nil) = cons(X0,nil),
inference(superposition,[status(thm)],[c_67,c_303015]) ).
cnf(c_316894,plain,
ssList(cons(X0,nil)),
inference(superposition,[status(thm)],[c_303072,c_110]) ).
cnf(c_487738,plain,
( ~ memberP(sk3,X0)
| segmentP(nil,app(app(cons(X0,nil),sk5(X0)),cons(X0,nil))) ),
inference(global_subsumption_just,[status(thm)],[c_2068,c_51,c_67,c_1537,c_2068,c_6355,c_6357,c_8883,c_10260,c_29046,c_40520,c_40521,c_89855]) ).
cnf(c_487742,plain,
( ~ segmentP(nil,app(app(cons(X0,nil),X1),cons(X0,nil)))
| ~ ssList(X1) ),
inference(global_subsumption_just,[status(thm)],[c_2217,c_51,c_67,c_1537,c_2565,c_6355,c_6357,c_8883,c_10055,c_10260,c_29042,c_29046,c_39362,c_40520,c_40521,c_89855,c_218699,c_316894]) ).
cnf(c_487747,plain,
( ~ ssList(sk5(X0))
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_487738,c_487742]) ).
cnf(c_487759,plain,
( ~ ssList(X0)
| memberP(cons(X1,X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_256,c_115497]) ).
cnf(c_487810,plain,
~ memberP(sk3,X0),
inference(global_subsumption_just,[status(thm)],[c_487747,c_51,c_67,c_58,c_1537,c_6355,c_6357,c_8883,c_10260,c_29046,c_40520,c_40521,c_89855,c_487747]) ).
cnf(c_488536,plain,
( cons(hd(sk3),tl(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_163]) ).
cnf(c_488568,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_488536,c_1537]) ).
cnf(c_488658,plain,
( ~ ssList(tl(sk3))
| memberP(sk3,hd(sk3)) ),
inference(superposition,[status(thm)],[c_488568,c_487759]) ).
cnf(c_488660,plain,
~ ssList(tl(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_488658,c_487810]) ).
cnf(c_488661,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_488660,c_8882,c_1537,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWC045-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n026.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 23:43:51 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 253.45/34.24 % SZS status Started for theBenchmark.p
% 253.45/34.24 % SZS status Unsatisfiable for theBenchmark.p
% 253.45/34.24
% 253.45/34.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 253.45/34.24
% 253.45/34.24 ------ iProver source info
% 253.45/34.24
% 253.45/34.24 git: date: 2024-05-02 19:28:25 +0000
% 253.45/34.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 253.45/34.24 git: non_committed_changes: false
% 253.45/34.24
% 253.45/34.24 ------ Parsing...successful
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24 ------ Preprocessing... sup_sim: 11 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
% 253.45/34.24
% 253.45/34.24 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 253.45/34.24
% 253.45/34.24 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 253.45/34.24 ------ Proving...
% 253.45/34.24 ------ Problem Properties
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24 clauses 185
% 253.45/34.24 conjectures 4
% 253.45/34.24 EPR 57
% 253.45/34.24 Horn 157
% 253.45/34.24 unary 63
% 253.45/34.24 binary 21
% 253.45/34.24 lits 556
% 253.45/34.24 lits eq 73
% 253.45/34.24 fd_pure 0
% 253.45/34.24 fd_pseudo 0
% 253.45/34.24 fd_cond 15
% 253.45/34.24 fd_pseudo_cond 14
% 253.45/34.24 AC symbols 0
% 253.45/34.24
% 253.45/34.24 ------ Input Options Time Limit: Unbounded
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24 ------
% 253.45/34.24 Current options:
% 253.45/34.24 ------
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24 ------ Proving...
% 253.45/34.24
% 253.45/34.24
% 253.45/34.24 % SZS status Unsatisfiable for theBenchmark.p
% 253.45/34.24
% 253.45/34.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 253.45/34.24
% 253.45/34.25
%------------------------------------------------------------------------------