TSTP Solution File: SWC226-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC226-1 : 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 : Thu Aug 31 20:41:49 EDT 2023
% Result : Unsatisfiable 162.43s 22.40s
% Output : CNFRefutation 162.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 82 ( 28 unt; 6 nHn; 71 RR)
% Number of literals : 193 ( 43 equ; 116 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 94 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(c_52,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
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,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
app(sk3,sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(c_73,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_78,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_136,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_137,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_139,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_143,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_150,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_151,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_162,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_174,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_185,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_214,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_244,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_267,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_244]) ).
cnf(c_1625,plain,
app(sk1,sk6) = sk4,
inference(light_normalisation,[status(thm)],[c_62,c_54]) ).
cnf(c_6550,plain,
( ssItem(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_137]) ).
cnf(c_6551,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_137]) ).
cnf(c_6552,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_137]) ).
cnf(c_9182,plain,
( ~ ssList(sk1)
| sk1 = nil
| ssItem(hd(sk1)) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_9540,plain,
( ~ ssList(cons(X0,X1))
| ~ ssList(X2)
| ssList(app(X2,cons(X0,X1))) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_11268,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(cons(X1,X3))
| ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(instantiation,[status(thm)],[c_9540]) ).
cnf(c_13690,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(X0)
| ssList(cons(hd(sk1),X0)) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_13691,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(nil)
| ssList(cons(hd(sk1),nil)) ),
inference(instantiation,[status(thm)],[c_13690]) ).
cnf(c_23176,plain,
( ~ ssList(cons(hd(sk1),X0))
| ~ ssList(X1)
| ssList(app(X1,cons(hd(sk1),X0))) ),
inference(instantiation,[status(thm)],[c_9540]) ).
cnf(c_23179,plain,
( ~ ssList(cons(hd(sk1),nil))
| ~ ssList(nil)
| ssList(app(nil,cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_23176]) ).
cnf(c_23205,plain,
( ~ ssList(app(X0,cons(hd(sk1),X1)))
| ~ ssList(cons(hd(sk1),X2))
| ssList(app(app(X0,cons(hd(sk1),X1)),cons(hd(sk1),X2))) ),
inference(instantiation,[status(thm)],[c_11268]) ).
cnf(c_23206,plain,
( ~ ssList(app(nil,cons(hd(sk1),nil)))
| ~ ssList(cons(hd(sk1),nil))
| ssList(app(app(nil,cons(hd(sk1),nil)),cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_23205]) ).
cnf(c_25970,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,sk1),X0) = app(X1,app(sk1,X0)) ),
inference(superposition,[status(thm)],[c_49,c_214]) ).
cnf(c_33752,plain,
( ~ ssList(X0)
| app(app(sk6,sk1),X0) = app(sk6,app(sk1,X0)) ),
inference(superposition,[status(thm)],[c_61,c_25970]) ).
cnf(c_38876,plain,
app(app(sk6,sk1),sk6) = app(sk6,app(sk1,sk6)),
inference(superposition,[status(thm)],[c_61,c_33752]) ).
cnf(c_40036,plain,
app(app(sk6,sk1),sk6) = app(sk6,sk4),
inference(light_normalisation,[status(thm)],[c_38876,c_1625]) ).
cnf(c_40037,plain,
( ~ ssList(app(sk6,sk1))
| ~ ssList(sk6)
| ssList(app(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_40036,c_150]) ).
cnf(c_40057,plain,
( ~ ssList(app(sk6,sk1))
| ssList(app(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40037,c_61]) ).
cnf(c_40142,plain,
( ~ ssList(sk1)
| ~ ssList(sk6)
| ssList(app(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_150,c_40057]) ).
cnf(c_40143,plain,
ssList(app(sk6,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_40142,c_61,c_49]) ).
cnf(c_41127,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ sP1_iProver_split
| duplicatefreeP(app(X1,X0)) ),
inference(superposition,[status(thm)],[c_150,c_6551]) ).
cnf(c_42928,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,sk1),X0) = app(X1,app(sk1,X0)) ),
inference(superposition,[status(thm)],[c_49,c_214]) ).
cnf(c_42929,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X1,sk4),X0) = app(X1,app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_52,c_214]) ).
cnf(c_54057,plain,
( ~ ssList(X0)
| app(app(sk6,sk1),X0) = app(sk6,app(sk1,X0)) ),
inference(superposition,[status(thm)],[c_61,c_42928]) ).
cnf(c_59500,plain,
app(app(sk6,sk1),sk6) = app(sk6,app(sk1,sk6)),
inference(superposition,[status(thm)],[c_61,c_54057]) ).
cnf(c_60915,plain,
app(app(sk6,sk1),sk6) = app(sk6,sk4),
inference(light_normalisation,[status(thm)],[c_59500,c_1625]) ).
cnf(c_60917,plain,
( ~ ssList(app(sk6,sk1))
| ~ ssList(sk6)
| ssList(app(sk6,sk4)) ),
inference(superposition,[status(thm)],[c_60915,c_150]) ).
cnf(c_60937,plain,
( ~ ssList(app(sk6,sk1))
| ssList(app(sk6,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60917,c_61]) ).
cnf(c_61061,plain,
ssList(app(sk6,sk4)),
inference(global_subsumption_just,[status(thm)],[c_60937,c_40143]) ).
cnf(c_65590,plain,
( ~ ssList(X0)
| app(app(sk6,sk4),X0) = app(sk6,app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_61,c_42929]) ).
cnf(c_72967,plain,
app(app(sk6,sk4),sk1) = app(sk6,app(sk4,sk1)),
inference(superposition,[status(thm)],[c_49,c_65590]) ).
cnf(c_73472,plain,
( ~ ssList(app(sk6,sk4))
| ~ ssList(sk1)
| ~ sP1_iProver_split
| duplicatefreeP(app(sk6,app(sk4,sk1))) ),
inference(superposition,[status(thm)],[c_72967,c_41127]) ).
cnf(c_73495,plain,
( ~ sP1_iProver_split
| duplicatefreeP(app(sk6,app(sk4,sk1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73472,c_49,c_61061]) ).
cnf(c_76178,plain,
( ~ ssList(app(app(X0,cons(hd(sk1),X1)),cons(hd(sk1),X2)))
| ~ duplicatefreeP(app(app(X0,cons(hd(sk1),X1)),cons(hd(sk1),X2)))
| ~ ssItem(hd(sk1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_76179,plain,
( ~ ssList(app(app(nil,cons(hd(sk1),nil)),cons(hd(sk1),nil)))
| ~ duplicatefreeP(app(app(nil,cons(hd(sk1),nil)),cons(hd(sk1),nil)))
| ~ ssItem(hd(sk1))
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_76178]) ).
cnf(c_78937,plain,
( ~ ssList(app(app(X0,cons(hd(sk1),X1)),cons(hd(sk1),X2)))
| ~ sP1_iProver_split
| duplicatefreeP(app(app(X0,cons(hd(sk1),X1)),cons(hd(sk1),X2))) ),
inference(instantiation,[status(thm)],[c_6551]) ).
cnf(c_78940,plain,
( ~ ssList(app(app(nil,cons(hd(sk1),nil)),cons(hd(sk1),nil)))
| ~ sP1_iProver_split
| duplicatefreeP(app(app(nil,cons(hd(sk1),nil)),cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_78937]) ).
cnf(c_97865,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_73495,c_49,c_73,c_55,c_9182,c_13691,c_23179,c_23206,c_76179,c_78940]) ).
cnf(c_97867,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_6552,c_97865]) ).
cnf(c_97903,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6550,c_97867]) ).
cnf(c_98617,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_57,c_97903]) ).
cnf(c_109790,plain,
~ memberP(nil,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_136,c_97903]) ).
cnf(c_203175,plain,
( ~ ssList(X2)
| ~ ssList(X0)
| app(app(X0,cons(X1,nil)),X2) != sk1
| memberP(X0,sk5(X2,X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_98617]) ).
cnf(c_203176,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X0,sk5(X2,X0,X1)) ),
inference(renaming,[status(thm)],[c_203175]) ).
cnf(c_203214,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_185,c_97903]) ).
cnf(c_203224,plain,
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_162,c_97903]) ).
cnf(c_203226,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_151,c_97903]) ).
cnf(c_203293,plain,
hd(cons(X0,skaf82(X1))) = X0,
inference(superposition,[status(thm)],[c_78,c_203224]) ).
cnf(c_203366,plain,
app(cons(X0,nil),skaf82(X1)) = cons(X0,skaf82(X1)),
inference(superposition,[status(thm)],[c_78,c_203214]) ).
cnf(c_204409,plain,
( ~ ssList(X0)
| app(nil,cons(X1,X0)) = cons(X1,X0) ),
inference(superposition,[status(thm)],[c_203226,c_139]) ).
cnf(c_205230,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_174]) ).
cnf(c_205278,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_205230,c_55]) ).
cnf(c_209978,plain,
skaf83(sk1) = hd(sk1),
inference(superposition,[status(thm)],[c_205278,c_203293]) ).
cnf(c_210014,plain,
cons(hd(sk1),skaf82(sk1)) = sk1,
inference(demodulation,[status(thm)],[c_205278,c_209978]) ).
cnf(c_262503,plain,
app(nil,cons(X0,nil)) = cons(X0,nil),
inference(superposition,[status(thm)],[c_73,c_204409]) ).
cnf(c_350907,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| ~ ssList(nil)
| memberP(nil,sk5(X1,nil,X0)) ),
inference(superposition,[status(thm)],[c_262503,c_203176]) ).
cnf(c_350930,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_350907,c_109790,c_73]) ).
cnf(c_351160,plain,
( cons(X0,skaf82(X1)) != sk1
| ~ ssList(skaf82(X1)) ),
inference(superposition,[status(thm)],[c_203366,c_350930]) ).
cnf(c_351205,plain,
cons(X0,skaf82(X1)) != sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_351160,c_78]) ).
cnf(c_351209,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_210014,c_351205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC226-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % 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 : Mon Aug 28 18:11:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 162.43/22.40 % SZS status Started for theBenchmark.p
% 162.43/22.40 % SZS status Unsatisfiable for theBenchmark.p
% 162.43/22.40
% 162.43/22.40 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 162.43/22.40
% 162.43/22.40 ------ iProver source info
% 162.43/22.40
% 162.43/22.40 git: date: 2023-05-31 18:12:56 +0000
% 162.43/22.40 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 162.43/22.40 git: non_committed_changes: false
% 162.43/22.40 git: last_make_outside_of_git: false
% 162.43/22.40
% 162.43/22.40 ------ Parsing...successful
% 162.43/22.40
% 162.43/22.40
% 162.43/22.40
% 162.43/22.40 ------ Preprocessing... sup_sim: 8 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
% 162.43/22.40
% 162.43/22.40 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 162.43/22.40
% 162.43/22.40 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 162.43/22.40 ------ Proving...
% 162.43/22.40 ------ Problem Properties
% 162.43/22.40
% 162.43/22.40
% 162.43/22.40 clauses 191
% 162.43/22.40 conjectures 11
% 162.43/22.40 EPR 59
% 162.43/22.40 Horn 163
% 162.43/22.40 unary 66
% 162.43/22.40 binary 21
% 162.43/22.40 lits 581
% 162.43/22.40 lits eq 80
% 162.43/22.41 fd_pure 0
% 162.43/22.41 fd_pseudo 0
% 162.43/22.41 fd_cond 15
% 162.43/22.41 fd_pseudo_cond 14
% 162.43/22.41 AC symbols 0
% 162.43/22.41
% 162.43/22.41 ------ Input Options Time Limit: Unbounded
% 162.43/22.41
% 162.43/22.41
% 162.43/22.41 ------
% 162.43/22.41 Current options:
% 162.43/22.41 ------
% 162.43/22.41
% 162.43/22.41
% 162.43/22.41
% 162.43/22.41
% 162.43/22.41 ------ Proving...
% 162.43/22.41
% 162.43/22.41
% 162.43/22.41 % SZS status Unsatisfiable for theBenchmark.p
% 162.43/22.41
% 162.43/22.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 162.43/22.41
% 162.43/22.43
%------------------------------------------------------------------------------