TSTP Solution File: SWC045-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC045-1 : 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 : Thu Aug 31 20:40:34 EDT 2023
% Result : Unsatisfiable 60.60s 9.28s
% Output : CNFRefutation 60.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of clauses : 57 ( 19 unt; 8 nHn; 53 RR)
% Number of literals : 143 ( 36 equ; 82 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 4 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_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_71,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_72,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_130,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
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_156,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
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_168,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
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_234,plain,
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| memberP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(c_256,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_197]) ).
cnf(c_258,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(unflattening,[status(thm)],[c_234]) ).
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_9409,plain,
( ~ ssList(app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)))
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_2068,c_139]) ).
cnf(c_9439,plain,
( ~ ssList(app(cons(X0,nil),sk5(X0)))
| ~ ssList(cons(X0,nil))
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_144,c_9409]) ).
cnf(c_9456,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(sk5(X0))
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_144,c_9439]) ).
cnf(c_9463,plain,
( ~ ssList(cons(X0,nil))
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)) = nil ),
inference(global_subsumption_just,[status(thm)],[c_9456,c_58,c_9456]) ).
cnf(c_9474,plain,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)) = nil ),
inference(superposition,[status(thm)],[c_145,c_9463]) ).
cnf(c_9475,plain,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| app(app(cons(X0,nil),sk5(X0)),cons(X0,nil)) = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_9474,c_67]) ).
cnf(c_10065,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_72,c_156]) ).
cnf(c_10556,plain,
( cons(hd(sk3),tl(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_163]) ).
cnf(c_10588,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_10556,c_1537]) ).
cnf(c_10715,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssList(tl(sk3)) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_10716,plain,
( ~ ssList(sk3)
| sk3 = nil
| ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_10723,plain,
( cons(skaf83(sk3),skaf82(sk3)) = sk3
| sk3 = nil ),
inference(superposition,[status(thm)],[c_51,c_168]) ).
cnf(c_10755,plain,
cons(skaf83(sk3),skaf82(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_10723,c_1537]) ).
cnf(c_11159,plain,
( ~ ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| memberP(sk3,hd(sk3)) ),
inference(superposition,[status(thm)],[c_10588,c_256]) ).
cnf(c_11178,plain,
( ~ ssList(skaf82(sk3))
| ~ ssItem(skaf83(sk3))
| memberP(sk3,skaf83(sk3)) ),
inference(superposition,[status(thm)],[c_10755,c_256]) ).
cnf(c_11182,plain,
memberP(sk3,skaf83(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_11178,c_71,c_72]) ).
cnf(c_11350,plain,
( ~ ssItem(skaf83(sk3))
| app(app(cons(skaf83(sk3),nil),sk5(skaf83(sk3))),cons(skaf83(sk3),nil)) = nil ),
inference(superposition,[status(thm)],[c_11182,c_9475]) ).
cnf(c_11353,plain,
app(app(cons(skaf83(sk3),nil),sk5(skaf83(sk3))),cons(skaf83(sk3),nil)) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_11350,c_71]) ).
cnf(c_15302,plain,
( ~ memberP(nil,hd(sk3))
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_130]) ).
cnf(c_15305,plain,
( ~ memberP(sk3,hd(sk3))
| ~ ssItem(hd(sk3))
| ssList(sk5(hd(sk3))) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_47021,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_71,c_10065]) ).
cnf(c_48030,plain,
skaf83(sk3) = hd(sk3),
inference(superposition,[status(thm)],[c_10755,c_47021]) ).
cnf(c_49095,plain,
ssItem(hd(sk3)),
inference(superposition,[status(thm)],[c_48030,c_71]) ).
cnf(c_58407,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(X0)
| ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_58408,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(nil)
| ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_58407]) ).
cnf(c_80271,plain,
app(app(cons(hd(sk3),nil),sk5(hd(sk3))),cons(hd(sk3),nil)) = nil,
inference(light_normalisation,[status(thm)],[c_11353,c_48030]) ).
cnf(c_80298,plain,
( ~ ssList(app(app(cons(hd(sk3),nil),sk5(hd(sk3))),cons(hd(sk3),nil)))
| ~ ssList(app(cons(hd(sk3),nil),sk5(hd(sk3))))
| ~ ssItem(hd(sk3))
| ~ ssList(nil)
| memberP(nil,hd(sk3)) ),
inference(superposition,[status(thm)],[c_80271,c_258]) ).
cnf(c_80346,plain,
( ~ ssList(app(cons(hd(sk3),nil),sk5(hd(sk3))))
| ~ ssItem(hd(sk3))
| ~ ssList(nil)
| memberP(nil,hd(sk3)) ),
inference(light_normalisation,[status(thm)],[c_80298,c_80271]) ).
cnf(c_80347,plain,
( ~ ssList(app(cons(hd(sk3),nil),sk5(hd(sk3))))
| memberP(nil,hd(sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80346,c_67,c_49095]) ).
cnf(c_235702,plain,
( ~ ssList(cons(hd(sk3),nil))
| ~ ssList(sk5(hd(sk3)))
| ssList(app(cons(hd(sk3),nil),sk5(hd(sk3)))) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_235703,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_235702,c_80347,c_58408,c_15302,c_15305,c_11159,c_10716,c_10715,c_1537,c_67,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC045-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n014.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Aug 28 15:14:01 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 60.60/9.28 % SZS status Started for theBenchmark.p
% 60.60/9.28 % SZS status Unsatisfiable for theBenchmark.p
% 60.60/9.28
% 60.60/9.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 60.60/9.28
% 60.60/9.28 ------ iProver source info
% 60.60/9.28
% 60.60/9.28 git: date: 2023-05-31 18:12:56 +0000
% 60.60/9.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 60.60/9.28 git: non_committed_changes: false
% 60.60/9.28 git: last_make_outside_of_git: false
% 60.60/9.28
% 60.60/9.28 ------ Parsing...successful
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28 ------ 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
% 60.60/9.28
% 60.60/9.28 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 60.60/9.28
% 60.60/9.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 60.60/9.28 ------ Proving...
% 60.60/9.28 ------ Problem Properties
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28 clauses 185
% 60.60/9.28 conjectures 4
% 60.60/9.28 EPR 57
% 60.60/9.28 Horn 157
% 60.60/9.28 unary 63
% 60.60/9.28 binary 21
% 60.60/9.28 lits 556
% 60.60/9.28 lits eq 73
% 60.60/9.28 fd_pure 0
% 60.60/9.28 fd_pseudo 0
% 60.60/9.28 fd_cond 15
% 60.60/9.28 fd_pseudo_cond 14
% 60.60/9.28 AC symbols 0
% 60.60/9.28
% 60.60/9.28 ------ Schedule dynamic 5 is on
% 60.60/9.28
% 60.60/9.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28 ------
% 60.60/9.28 Current options:
% 60.60/9.28 ------
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28 ------ Proving...
% 60.60/9.28
% 60.60/9.28
% 60.60/9.28 % SZS status Unsatisfiable for theBenchmark.p
% 60.60/9.28
% 60.60/9.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 60.60/9.28
% 60.60/9.28
%------------------------------------------------------------------------------