TSTP Solution File: SWC233-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC233-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 03:11:41 EDT 2024
% Result : Unsatisfiable 157.42s 21.80s
% Output : CNFRefutation 157.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of clauses : 77 ( 25 unt; 11 nHn; 57 RR)
% Number of literals : 179 ( 46 equ; 103 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 : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 92 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(c_50,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(c_55,negated_conjecture,
sk1 != nil,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_70,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_74,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_75,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_133,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_134,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_136,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_140,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_147,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_148,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_158,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_159,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_166,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_171,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
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_6583,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_134]) ).
cnf(c_6584,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_134]) ).
cnf(c_6585,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_134]) ).
cnf(c_6589,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_6591,negated_conjecture,
sk1 != nil,
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_6594,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6595,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_10270,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_75,c_159]) ).
cnf(c_11004,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_6594,c_171]) ).
cnf(c_11194,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk2) = cons(X0,sk2) ),
inference(superposition,[status(thm)],[c_6594,c_182]) ).
cnf(c_11520,plain,
( ~ ssList(sk1)
| sk1 = nil
| ssItem(hd(sk1)) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_11565,plain,
app(cons(skaf83(X0),nil),sk2) = cons(skaf83(X0),sk2),
inference(superposition,[status(thm)],[c_74,c_11194]) ).
cnf(c_16222,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_264]) ).
cnf(c_16241,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_16222]) ).
cnf(c_49462,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(nil)
| ssList(cons(hd(sk1),nil)) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_56239,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_74,c_10270]) ).
cnf(c_56349,plain,
( skaf83(sk2) = hd(sk2)
| sk2 = nil ),
inference(superposition,[status(thm)],[c_11004,c_56239]) ).
cnf(c_57732,plain,
( ~ ssList(cons(hd(sk1),nil))
| ~ ssList(X0)
| ssList(app(X0,cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_57733,plain,
( ~ ssList(cons(hd(sk1),nil))
| ~ ssList(nil)
| ssList(app(nil,cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_57732]) ).
cnf(c_57736,plain,
( ~ ssItem(skaf83(X0))
| ~ ssList(nil)
| ssList(cons(skaf83(X0),nil)) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_77146,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_147]) ).
cnf(c_77147,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_77146]) ).
cnf(c_113613,plain,
( ~ ssList(cons(skaf83(X0),nil))
| ~ ssList(sk2)
| ssList(cons(skaf83(X0),sk2)) ),
inference(superposition,[status(thm)],[c_11565,c_147]) ).
cnf(c_113640,plain,
( ~ ssList(cons(skaf83(X0),nil))
| ssList(cons(skaf83(X0),sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_113613,c_6594]) ).
cnf(c_113956,plain,
ssList(cons(skaf83(X0),sk2)),
inference(global_subsumption_just,[status(thm)],[c_113640,c_70,c_74,c_57736,c_113640]) ).
cnf(c_113993,plain,
( ~ sP1_iProver_def
| duplicatefreeP(cons(skaf83(X0),sk2)) ),
inference(superposition,[status(thm)],[c_113956,c_6584]) ).
cnf(c_115297,plain,
( ~ sP1_iProver_def
| sk2 = nil
| duplicatefreeP(cons(hd(sk2),sk2)) ),
inference(superposition,[status(thm)],[c_56349,c_113993]) ).
cnf(c_168555,plain,
( ~ ssList(app(app(X0,cons(hd(sk1),X1)),cons(hd(sk1),X2)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(X0,cons(hd(sk1),X1)),cons(hd(sk1),X2))) ),
inference(instantiation,[status(thm)],[c_6584]) ).
cnf(c_168556,plain,
( ~ ssList(app(app(nil,cons(hd(sk1),nil)),cons(hd(sk1),nil)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(nil,cons(hd(sk1),nil)),cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_168555]) ).
cnf(c_177547,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_115297,c_49,c_70,c_55,c_11520,c_16241,c_49462,c_57733,c_77147,c_168556]) ).
cnf(c_177549,plain,
sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_6585,c_177547]) ).
cnf(c_177578,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6583,c_177549]) ).
cnf(c_177872,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_182,c_177578]) ).
cnf(c_177883,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_158,c_177578]) ).
cnf(c_177884,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_148,c_177578]) ).
cnf(c_177899,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_6589,c_177578]) ).
cnf(c_179098,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_6589,c_177899]) ).
cnf(c_179099,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_179098]) ).
cnf(c_179204,plain,
~ memberP(nil,X0),
inference(global_subsumption_just,[status(thm)],[c_133,c_49,c_70,c_55,c_133,c_6583,c_6585,c_11520,c_16241,c_49462,c_57733,c_77147,c_168556]) ).
cnf(c_179319,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_148,c_177884]) ).
cnf(c_179325,plain,
( ~ ssList(X0)
| app(nil,cons(X1,X0)) = cons(X1,X0) ),
inference(superposition,[status(thm)],[c_179319,c_136]) ).
cnf(c_179685,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_158,c_177883]) ).
cnf(c_179694,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_75,c_179685]) ).
cnf(c_179930,plain,
( cons(hd(sk1),tl(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_6595,c_166]) ).
cnf(c_179965,plain,
cons(hd(sk1),tl(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_179930,c_6591]) ).
cnf(c_180067,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_6595,c_171]) ).
cnf(c_180102,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_180067,c_6591]) ).
cnf(c_180186,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_182,c_177872]) ).
cnf(c_181349,plain,
skaf82(sk1) = tl(sk1),
inference(superposition,[status(thm)],[c_180102,c_179694]) ).
cnf(c_194484,plain,
ssList(tl(sk1)),
inference(superposition,[status(thm)],[c_181349,c_75]) ).
cnf(c_194536,plain,
app(cons(X0,nil),tl(sk1)) = cons(X0,tl(sk1)),
inference(superposition,[status(thm)],[c_194484,c_180186]) ).
cnf(c_331446,plain,
app(nil,cons(X0,nil)) = cons(X0,nil),
inference(superposition,[status(thm)],[c_70,c_179325]) ).
cnf(c_332104,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| ~ ssList(nil)
| memberP(nil,sk5(X1,nil,X0)) ),
inference(superposition,[status(thm)],[c_331446,c_179099]) ).
cnf(c_332155,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332104,c_179204,c_70]) ).
cnf(c_346702,plain,
( cons(X0,tl(sk1)) != sk1
| ~ ssList(tl(sk1)) ),
inference(superposition,[status(thm)],[c_194536,c_332155]) ).
cnf(c_346708,plain,
cons(X0,tl(sk1)) != sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_346702,c_194484]) ).
cnf(c_346740,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_179965,c_346708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC233-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.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
% 0.13/0.35 % DateTime : Thu May 2 23:13:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 157.42/21.80 % SZS status Started for theBenchmark.p
% 157.42/21.80 % SZS status Unsatisfiable for theBenchmark.p
% 157.42/21.80
% 157.42/21.80 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 157.42/21.80
% 157.42/21.80 ------ iProver source info
% 157.42/21.80
% 157.42/21.80 git: date: 2024-05-02 19:28:25 +0000
% 157.42/21.80 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 157.42/21.80 git: non_committed_changes: false
% 157.42/21.80
% 157.42/21.80 ------ Parsing...successful
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80 ------ Preprocessing... sup_sim: 6 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
% 157.42/21.80
% 157.42/21.80 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 157.42/21.80
% 157.42/21.80 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 157.42/21.80 ------ Proving...
% 157.42/21.80 ------ Problem Properties
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80 clauses 189
% 157.42/21.80 conjectures 10
% 157.42/21.80 EPR 57
% 157.42/21.80 Horn 161
% 157.42/21.80 unary 63
% 157.42/21.80 binary 21
% 157.42/21.80 lits 585
% 157.42/21.80 lits eq 79
% 157.42/21.80 fd_pure 0
% 157.42/21.80 fd_pseudo 0
% 157.42/21.80 fd_cond 15
% 157.42/21.80 fd_pseudo_cond 14
% 157.42/21.80 AC symbols 0
% 157.42/21.80
% 157.42/21.80 ------ Schedule dynamic 5 is on
% 157.42/21.80
% 157.42/21.80 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80 ------
% 157.42/21.80 Current options:
% 157.42/21.80 ------
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80 ------ Proving...
% 157.42/21.80 Proof_search_loop: time out after: 6349 full_loop iterations
% 157.42/21.80
% 157.42/21.80 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80 ------
% 157.42/21.80 Current options:
% 157.42/21.80 ------
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80 ------ Proving...
% 157.42/21.80
% 157.42/21.80
% 157.42/21.80 % SZS status Unsatisfiable for theBenchmark.p
% 157.42/21.80
% 157.42/21.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 157.42/21.80
% 157.42/21.81
%------------------------------------------------------------------------------