TSTP Solution File: SWC231-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC231-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 20:41:51 EDT 2023
% Result : Unsatisfiable 159.01s 21.81s
% Output : CNFRefutation 159.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of clauses : 76 ( 24 unt; 11 nHn; 56 RR)
% Number of literals : 174 ( 45 equ; 98 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 90 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(c_50,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
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,
( sk3 = nil
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_73,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_77,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
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_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_161,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
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_169,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
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_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_1632,plain,
( sk1 = nil
| ssItem(sk6) ),
inference(light_normalisation,[status(thm)],[c_61,c_54]) ).
cnf(c_1633,plain,
ssItem(sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_1632,c_55]) ).
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_10307,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_78,c_162]) ).
cnf(c_11131,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_174]) ).
cnf(c_11313,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_49,c_185]) ).
cnf(c_11622,plain,
app(cons(skaf83(X0),nil),sk1) = cons(skaf83(X0),sk1),
inference(superposition,[status(thm)],[c_77,c_11313]) ).
cnf(c_15014,plain,
( ~ ssList(app(app(X0,cons(sk6,X1)),cons(sk6,X2)))
| ~ duplicatefreeP(app(app(X0,cons(sk6,X1)),cons(sk6,X2)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sk6) ),
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_15015,plain,
( ~ ssList(app(app(nil,cons(sk6,nil)),cons(sk6,nil)))
| ~ duplicatefreeP(app(app(nil,cons(sk6,nil)),cons(sk6,nil)))
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(instantiation,[status(thm)],[c_15014]) ).
cnf(c_27033,plain,
( ~ ssList(cons(sk6,X0))
| ~ ssList(X1)
| ssList(app(X1,cons(sk6,X0))) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_27034,plain,
( ~ ssList(cons(sk6,nil))
| ~ ssList(nil)
| ssList(app(nil,cons(sk6,nil))) ),
inference(instantiation,[status(thm)],[c_27033]) ).
cnf(c_32848,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| ssList(cons(sk6,nil)) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_61601,plain,
( ~ ssItem(skaf83(X0))
| ~ ssList(nil)
| ssList(cons(skaf83(X0),nil)) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_74642,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_77,c_10307]) ).
cnf(c_75242,plain,
( skaf83(sk2) = hd(sk2)
| sk2 = nil ),
inference(superposition,[status(thm)],[c_11131,c_74642]) ).
cnf(c_91613,plain,
( ~ ssList(cons(skaf83(X0),nil))
| ~ ssList(sk1)
| ssList(cons(skaf83(X0),sk1)) ),
inference(superposition,[status(thm)],[c_11622,c_150]) ).
cnf(c_91641,plain,
( ~ ssList(cons(skaf83(X0),nil))
| ssList(cons(skaf83(X0),sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91613,c_49]) ).
cnf(c_92000,plain,
ssList(cons(skaf83(X0),sk1)),
inference(global_subsumption_just,[status(thm)],[c_91641,c_73,c_77,c_61601,c_91641]) ).
cnf(c_92035,plain,
( ~ sP1_iProver_split
| duplicatefreeP(cons(skaf83(X0),sk1)) ),
inference(superposition,[status(thm)],[c_92000,c_6551]) ).
cnf(c_94999,plain,
( ~ sP1_iProver_split
| sk2 = nil
| duplicatefreeP(cons(hd(sk2),sk1)) ),
inference(superposition,[status(thm)],[c_75242,c_92035]) ).
cnf(c_164193,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ssList(app(X1,cons(X0,nil))) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_178984,plain,
( ~ ssList(app(X0,cons(sk6,X1)))
| ~ ssList(cons(sk6,nil))
| ssList(app(app(X0,cons(sk6,X1)),cons(sk6,nil))) ),
inference(instantiation,[status(thm)],[c_164193]) ).
cnf(c_178989,plain,
( ~ ssList(app(nil,cons(sk6,nil)))
| ~ ssList(cons(sk6,nil))
| ssList(app(app(nil,cons(sk6,nil)),cons(sk6,nil))) ),
inference(instantiation,[status(thm)],[c_178984]) ).
cnf(c_184405,plain,
( ~ ssList(app(app(X0,cons(sk6,X1)),cons(sk6,X2)))
| ~ sP1_iProver_split
| duplicatefreeP(app(app(X0,cons(sk6,X1)),cons(sk6,X2))) ),
inference(instantiation,[status(thm)],[c_6551]) ).
cnf(c_184406,plain,
( ~ ssList(app(app(nil,cons(sk6,nil)),cons(sk6,nil)))
| ~ sP1_iProver_split
| duplicatefreeP(app(app(nil,cons(sk6,nil)),cons(sk6,nil))) ),
inference(instantiation,[status(thm)],[c_184405]) ).
cnf(c_214591,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_94999,c_73,c_1633,c_15015,c_27034,c_32848,c_178989,c_184406]) ).
cnf(c_214593,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_6552,c_214591]) ).
cnf(c_214599,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6550,c_214593]) ).
cnf(c_214890,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_185,c_214599]) ).
cnf(c_214901,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_161,c_214599]) ).
cnf(c_214902,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_151,c_214599]) ).
cnf(c_214917,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_214599]) ).
cnf(c_293920,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_214917]) ).
cnf(c_293921,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_293920]) ).
cnf(c_294084,plain,
~ memberP(nil,X0),
inference(global_subsumption_just,[status(thm)],[c_136,c_73,c_136,c_1633,c_6550,c_6552,c_15015,c_27034,c_32848,c_178989,c_184406]) ).
cnf(c_294235,plain,
( ~ ssList(X0)
| ssList(cons(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_151,c_214902]) ).
cnf(c_294241,plain,
( ~ ssList(X0)
| app(nil,cons(X1,X0)) = cons(X1,X0) ),
inference(superposition,[status(thm)],[c_294235,c_139]) ).
cnf(c_294813,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_161,c_214901]) ).
cnf(c_294824,plain,
tl(cons(X0,skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_78,c_294813]) ).
cnf(c_295086,plain,
( cons(hd(sk1),tl(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_169]) ).
cnf(c_295127,plain,
cons(hd(sk1),tl(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_295086,c_55]) ).
cnf(c_295249,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_49,c_174]) ).
cnf(c_295290,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_295249,c_55]) ).
cnf(c_295356,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_185,c_214890]) ).
cnf(c_295793,plain,
skaf82(sk1) = tl(sk1),
inference(superposition,[status(thm)],[c_295290,c_294824]) ).
cnf(c_312733,plain,
ssList(tl(sk1)),
inference(superposition,[status(thm)],[c_295793,c_78]) ).
cnf(c_312762,plain,
app(cons(X0,nil),tl(sk1)) = cons(X0,tl(sk1)),
inference(superposition,[status(thm)],[c_312733,c_295356]) ).
cnf(c_566927,plain,
app(nil,cons(X0,nil)) = cons(X0,nil),
inference(superposition,[status(thm)],[c_73,c_294241]) ).
cnf(c_567612,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| ~ ssList(nil)
| memberP(nil,sk5(X1,nil,X0)) ),
inference(superposition,[status(thm)],[c_566927,c_293921]) ).
cnf(c_567653,plain,
( app(cons(X0,nil),X1) != sk1
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_567612,c_294084,c_73]) ).
cnf(c_575766,plain,
( cons(X0,tl(sk1)) != sk1
| ~ ssList(tl(sk1)) ),
inference(superposition,[status(thm)],[c_312762,c_567653]) ).
cnf(c_575780,plain,
cons(X0,tl(sk1)) != sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_575766,c_312733]) ).
cnf(c_575815,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_295127,c_575780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC231-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Mon Aug 28 19:12:45 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 159.01/21.81 % SZS status Started for theBenchmark.p
% 159.01/21.81 % SZS status Unsatisfiable for theBenchmark.p
% 159.01/21.81
% 159.01/21.81 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 159.01/21.81
% 159.01/21.81 ------ iProver source info
% 159.01/21.81
% 159.01/21.81 git: date: 2023-05-31 18:12:56 +0000
% 159.01/21.81 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 159.01/21.81 git: non_committed_changes: false
% 159.01/21.81 git: last_make_outside_of_git: false
% 159.01/21.81
% 159.01/21.81 ------ Parsing...successful
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81 ------ Preprocessing... sup_sim: 9 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
% 159.01/21.81
% 159.01/21.81 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 159.01/21.81
% 159.01/21.81 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 159.01/21.81 ------ Proving...
% 159.01/21.81 ------ Problem Properties
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81 clauses 192
% 159.01/21.81 conjectures 10
% 159.01/21.81 EPR 61
% 159.01/21.81 Horn 164
% 159.01/21.81 unary 67
% 159.01/21.81 binary 21
% 159.01/21.81 lits 580
% 159.01/21.81 lits eq 78
% 159.01/21.81 fd_pure 0
% 159.01/21.81 fd_pseudo 0
% 159.01/21.81 fd_cond 15
% 159.01/21.81 fd_pseudo_cond 14
% 159.01/21.81 AC symbols 0
% 159.01/21.81
% 159.01/21.81 ------ Schedule dynamic 5 is on
% 159.01/21.81
% 159.01/21.81 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81 ------
% 159.01/21.81 Current options:
% 159.01/21.81 ------
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81 ------ Proving...
% 159.01/21.81 Proof_search_loop: time out after: 12182 full_loop iterations
% 159.01/21.81
% 159.01/21.81 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81 ------
% 159.01/21.81 Current options:
% 159.01/21.81 ------
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81 ------ Proving...
% 159.01/21.81
% 159.01/21.81
% 159.01/21.81 % SZS status Unsatisfiable for theBenchmark.p
% 159.01/21.81
% 159.01/21.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 159.01/21.81
% 159.01/21.82
%------------------------------------------------------------------------------