TSTP Solution File: SWC243-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC243-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 20:41:57 EDT 2023
% Result : Unsatisfiable 138.54s 19.28s
% Output : CNFRefutation 138.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of clauses : 73 ( 22 unt; 8 nHn; 59 RR)
% Number of literals : 176 ( 40 equ; 106 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; 4 con; 0-3 aty)
% Number of variables : 84 ( 13 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_56,negated_conjecture,
sk1 != nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_58,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_10) ).
cnf(c_69,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_70,plain,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause9) ).
cnf(c_74,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_132,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_133,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_135,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_139,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_146,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_147,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_157,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_165,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_170,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_181,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_218,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(c_240,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_263,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_240]) ).
cnf(c_6473,plain,
( ssItem(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_133]) ).
cnf(c_6474,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_133]) ).
cnf(c_6475,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_133]) ).
cnf(c_9502,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ sP1_iProver_split
| duplicatefreeP(app(X1,X0)) ),
inference(superposition,[status(thm)],[c_146,c_6474]) ).
cnf(c_11012,plain,
( ~ ssList(sk1)
| sk1 = nil
| ssItem(hd(sk1)) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_11056,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_49,c_181]) ).
cnf(c_11433,plain,
app(cons(skac3,nil),sk1) = cons(skac3,sk1),
inference(superposition,[status(thm)],[c_70,c_11056]) ).
cnf(c_15231,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,app(X0,sk2)) = app(cons(X1,X0),sk2) ),
inference(superposition,[status(thm)],[c_50,c_218]) ).
cnf(c_15438,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_263]) ).
cnf(c_15455,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_15438]) ).
cnf(c_29324,plain,
( ~ ssItem(X0)
| cons(X0,app(sk1,sk2)) = app(cons(X0,sk1),sk2) ),
inference(superposition,[status(thm)],[c_49,c_15231]) ).
cnf(c_29564,plain,
cons(skac3,app(sk1,sk2)) = app(cons(skac3,sk1),sk2),
inference(superposition,[status(thm)],[c_70,c_29324]) ).
cnf(c_33011,plain,
( ~ ssList(nil)
| ~ ssItem(skac3)
| ssList(cons(skac3,nil)) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_38709,plain,
( ~ ssList(cons(skac3,nil))
| ~ ssList(sk1)
| ssList(cons(skac3,sk1)) ),
inference(superposition,[status(thm)],[c_11433,c_146]) ).
cnf(c_38730,plain,
( ~ ssList(cons(skac3,nil))
| ssList(cons(skac3,sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38709,c_49]) ).
cnf(c_38876,plain,
ssList(cons(skac3,sk1)),
inference(global_subsumption_just,[status(thm)],[c_38730,c_70,c_69,c_33011,c_38730]) ).
cnf(c_49687,plain,
( ~ ssItem(hd(sk1))
| ~ ssList(nil)
| ssList(cons(hd(sk1),nil)) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_62124,plain,
( ~ ssList(cons(hd(sk1),nil))
| ~ ssList(X0)
| ssList(app(X0,cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_62125,plain,
( ~ ssList(cons(hd(sk1),nil))
| ~ ssList(nil)
| ssList(app(nil,cons(hd(sk1),nil))) ),
inference(instantiation,[status(thm)],[c_62124]) ).
cnf(c_78115,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_146]) ).
cnf(c_78116,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_78115]) ).
cnf(c_179504,plain,
( ~ ssList(cons(skac3,sk1))
| ~ ssList(sk2)
| ~ sP1_iProver_split
| duplicatefreeP(cons(skac3,app(sk1,sk2))) ),
inference(superposition,[status(thm)],[c_29564,c_9502]) ).
cnf(c_179551,plain,
( ~ sP1_iProver_split
| duplicatefreeP(cons(skac3,app(sk1,sk2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179504,c_50,c_38876]) ).
cnf(c_180163,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_6474]) ).
cnf(c_180164,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_180163]) ).
cnf(c_180463,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_179551,c_49,c_69,c_56,c_11012,c_15455,c_49687,c_62125,c_78116,c_180164]) ).
cnf(c_180465,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_6475,c_180463]) ).
cnf(c_180496,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6473,c_180465]) ).
cnf(c_180727,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_181,c_180496]) ).
cnf(c_180738,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_157,c_180496]) ).
cnf(c_180739,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_147,c_180496]) ).
cnf(c_180754,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_58,c_180496]) ).
cnf(c_286831,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_58,c_180754]) ).
cnf(c_286832,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_286831]) ).
cnf(c_286947,plain,
~ memberP(nil,X0),
inference(global_subsumption_just,[status(thm)],[c_132,c_49,c_69,c_56,c_132,c_6473,c_6475,c_11012,c_15455,c_49687,c_62125,c_78116,c_180164]) ).
cnf(c_287081,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_147,c_180739]) ).
cnf(c_287087,plain,
( ~ ssList(X0)
| app(nil,cons(X1,X0)) = cons(X1,X0) ),
inference(superposition,[status(thm)],[c_287081,c_135]) ).
cnf(c_287590,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_157,c_180738]) ).
cnf(c_287599,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_74,c_287590]) ).
cnf(c_287882,plain,
( cons(hd(sk1),tl(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_165]) ).
cnf(c_287917,plain,
cons(hd(sk1),tl(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_287882,c_56]) ).
cnf(c_288024,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_170]) ).
cnf(c_288059,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_288024,c_56]) ).
cnf(c_288140,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_181,c_180727]) ).
cnf(c_289695,plain,
skaf82(sk1) = tl(sk1),
inference(superposition,[status(thm)],[c_288059,c_287599]) ).
cnf(c_303615,plain,
ssList(tl(sk1)),
inference(superposition,[status(thm)],[c_289695,c_74]) ).
cnf(c_303649,plain,
app(cons(X0,nil),tl(sk1)) = cons(X0,tl(sk1)),
inference(superposition,[status(thm)],[c_303615,c_288140]) ).
cnf(c_504671,plain,
app(nil,cons(X0,nil)) = cons(X0,nil),
inference(superposition,[status(thm)],[c_69,c_287087]) ).
cnf(c_506824,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| ~ ssList(nil)
| memberP(nil,sk5(X1,nil,X0)) ),
inference(superposition,[status(thm)],[c_504671,c_286832]) ).
cnf(c_506865,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_506824,c_286947,c_69]) ).
cnf(c_521153,plain,
( cons(X0,tl(sk1)) != sk1
| ~ ssList(tl(sk1)) ),
inference(superposition,[status(thm)],[c_303649,c_506865]) ).
cnf(c_521159,plain,
cons(X0,tl(sk1)) != sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_521153,c_303615]) ).
cnf(c_521191,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_287917,c_521159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC243-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 18:04:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 138.54/19.28 % SZS status Started for theBenchmark.p
% 138.54/19.28 % SZS status Unsatisfiable for theBenchmark.p
% 138.54/19.28
% 138.54/19.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 138.54/19.28
% 138.54/19.28 ------ iProver source info
% 138.54/19.28
% 138.54/19.28 git: date: 2023-05-31 18:12:56 +0000
% 138.54/19.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 138.54/19.28 git: non_committed_changes: false
% 138.54/19.28 git: last_make_outside_of_git: false
% 138.54/19.28
% 138.54/19.28 ------ Parsing...successful
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28 ------ 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
% 138.54/19.28
% 138.54/19.28 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 138.54/19.28
% 138.54/19.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 138.54/19.28 ------ Proving...
% 138.54/19.28 ------ Problem Properties
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28 clauses 188
% 138.54/19.28 conjectures 10
% 138.54/19.28 EPR 58
% 138.54/19.28 Horn 160
% 138.54/19.28 unary 64
% 138.54/19.28 binary 21
% 138.54/19.28 lits 572
% 138.54/19.28 lits eq 77
% 138.54/19.28 fd_pure 0
% 138.54/19.28 fd_pseudo 0
% 138.54/19.28 fd_cond 15
% 138.54/19.28 fd_pseudo_cond 14
% 138.54/19.28 AC symbols 0
% 138.54/19.28
% 138.54/19.28 ------ Schedule dynamic 5 is on
% 138.54/19.28
% 138.54/19.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28 ------
% 138.54/19.28 Current options:
% 138.54/19.28 ------
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28 ------ Proving...
% 138.54/19.28 Proof_search_loop: time out after: 12312 full_loop iterations
% 138.54/19.28
% 138.54/19.28 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28 ------
% 138.54/19.28 Current options:
% 138.54/19.28 ------
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28 ------ Proving...
% 138.54/19.28
% 138.54/19.28
% 138.54/19.28 % SZS status Unsatisfiable for theBenchmark.p
% 138.54/19.28
% 138.54/19.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 138.54/19.28
% 138.54/19.28
%------------------------------------------------------------------------------