TSTP Solution File: SWC412-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC412-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 03:12:24 EDT 2024
% Result : Unsatisfiable 8.33s 1.64s
% Output : CNFRefutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 45
% Syntax : Number of clauses : 65 ( 3 unt; 33 nHn; 65 RR)
% Number of literals : 212 ( 63 equ; 120 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4
| app(app(cons(X3,nil),X4),cons(X5,nil)) != sk4
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssItem(X5)
| app(app(cons(X5,nil),X4),cons(X3,nil)) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_59,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(c_63,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(c_64,negated_conjecture,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk4
| app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(c_69,negated_conjecture,
( ssItem(sk8)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
cnf(c_70,negated_conjecture,
( ssItem(sk9)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
cnf(c_71,negated_conjecture,
( ssList(sk10)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
cnf(c_72,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
cnf(c_73,negated_conjecture,
( ssItem(sk11)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
cnf(c_74,negated_conjecture,
( ssItem(sk12)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
cnf(c_75,negated_conjecture,
( ssList(sk13)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
cnf(c_76,negated_conjecture,
( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
cnf(c_77,negated_conjecture,
( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_29) ).
cnf(c_78,negated_conjecture,
( ssItem(sk8)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_30) ).
cnf(c_79,negated_conjecture,
( ssItem(sk9)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_31) ).
cnf(c_80,negated_conjecture,
( ssList(sk10)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_32) ).
cnf(c_81,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_33) ).
cnf(c_82,negated_conjecture,
( ssList(sk7)
| ssItem(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_34) ).
cnf(c_83,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_35) ).
cnf(c_84,negated_conjecture,
( ssList(sk7)
| ssItem(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_36) ).
cnf(c_85,negated_conjecture,
( ssList(sk10)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_37) ).
cnf(c_86,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).
cnf(c_87,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_39) ).
cnf(c_88,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssList(sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_40) ).
cnf(c_89,negated_conjecture,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2
| app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_41) ).
cnf(c_90,negated_conjecture,
( ssItem(sk11)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_42) ).
cnf(c_91,negated_conjecture,
( ssItem(sk12)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_43) ).
cnf(c_92,negated_conjecture,
( ssList(sk13)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_44) ).
cnf(c_93,negated_conjecture,
( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_45) ).
cnf(c_94,negated_conjecture,
( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_46) ).
cnf(c_95,negated_conjecture,
( ssList(sk7)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_47) ).
cnf(c_96,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_48) ).
cnf(c_97,negated_conjecture,
( ssList(sk7)
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_49) ).
cnf(c_98,negated_conjecture,
( ssList(sk13)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_50) ).
cnf(c_99,negated_conjecture,
( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_51) ).
cnf(c_100,negated_conjecture,
( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_52) ).
cnf(c_101,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssItem(sk12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_53) ).
cnf(c_102,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_54) ).
cnf(c_103,negated_conjecture,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2
| app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_55) ).
cnf(c_104,negated_conjecture,
( app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1
| app(app(cons(sk5,nil),cons(sk6,nil)),sk7) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_56) ).
cnf(c_1864,plain,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ssList(sk13) ),
inference(light_normalisation,[status(thm)],[c_62,c_53]) ).
cnf(c_1865,plain,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ssItem(sk12) ),
inference(light_normalisation,[status(thm)],[c_61,c_53]) ).
cnf(c_1866,plain,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ssItem(sk11) ),
inference(light_normalisation,[status(thm)],[c_60,c_53]) ).
cnf(c_1870,plain,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ),
inference(light_normalisation,[status(thm)],[c_63,c_53]) ).
cnf(c_1871,plain,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ),
inference(light_normalisation,[status(thm)],[c_59,c_53]) ).
cnf(c_1872,plain,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(light_normalisation,[status(thm)],[c_64,c_53]) ).
cnf(c_1877,plain,
( app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| app(app(cons(X3,nil),X4),cons(X5,nil)) != sk2
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssItem(X5)
| app(app(cons(X5,nil),X4),cons(X3,nil)) = sk1 ),
inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).
cnf(c_5011,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(cons(X0,nil),X2),cons(X1,nil)) != sk2
| app(app(cons(X1,nil),X2),cons(X0,nil)) = sk1
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_1877]) ).
cnf(c_5012,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(cons(X0,nil),cons(X1,nil)),X2) != sk2
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_1877]) ).
cnf(c_5013,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1877]) ).
cnf(c_7102,plain,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ssList(sk13) ),
inference(instantiation,[status(thm)],[c_1864]) ).
cnf(c_7125,plain,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ssItem(sk12) ),
inference(instantiation,[status(thm)],[c_1865]) ).
cnf(c_7142,plain,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ssItem(sk11) ),
inference(instantiation,[status(thm)],[c_1866]) ).
cnf(c_7210,plain,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| app(app(cons(sk11,nil),sk13),cons(sk12,nil)) = sk2 ),
inference(instantiation,[status(thm)],[c_1870]) ).
cnf(c_7227,plain,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| app(app(cons(sk8,nil),cons(sk9,nil)),sk10) = sk2 ),
inference(instantiation,[status(thm)],[c_1871]) ).
cnf(c_7293,plain,
( app(app(cons(sk11,nil),sk13),cons(sk12,nil)) != sk2
| ~ ssList(sk13)
| ~ ssItem(sk11)
| ~ ssItem(sk12)
| ~ sP0_iProver_def
| app(app(cons(sk12,nil),sk13),cons(sk11,nil)) = sk1 ),
inference(instantiation,[status(thm)],[c_5011]) ).
cnf(c_7367,plain,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2
| app(app(cons(sk12,nil),sk13),cons(sk11,nil)) != sk1
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6) ),
inference(instantiation,[status(thm)],[c_1872]) ).
cnf(c_7370,plain,
( app(app(cons(sk8,nil),cons(sk9,nil)),sk10) != sk2
| ~ ssList(sk10)
| ~ ssItem(sk8)
| ~ ssItem(sk9)
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_5012]) ).
cnf(c_7371,plain,
( app(app(cons(sk5,nil),cons(sk6,nil)),sk7) != sk2
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_5012]) ).
cnf(c_7380,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7371,c_7370,c_7367,c_7293,c_7227,c_7210,c_7142,c_7125,c_7102,c_5013,c_104,c_89,c_103,c_77,c_94,c_100,c_72,c_76,c_81,c_83,c_86,c_87,c_88,c_93,c_96,c_99,c_101,c_102,c_69,c_70,c_71,c_73,c_74,c_75,c_78,c_79,c_80,c_82,c_84,c_85,c_90,c_91,c_92,c_95,c_97,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC412-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:27:34 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.33/1.64 % SZS status Started for theBenchmark.p
% 8.33/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.33/1.64
% 8.33/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.33/1.64
% 8.33/1.64 ------ iProver source info
% 8.33/1.64
% 8.33/1.64 git: date: 2024-05-02 19:28:25 +0000
% 8.33/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.33/1.64 git: non_committed_changes: false
% 8.33/1.64
% 8.33/1.64 ------ Parsing...successful
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64 ------ Preprocessing... sup_sim: 14 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
% 8.33/1.64
% 8.33/1.64 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.33/1.64
% 8.33/1.64 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 8.33/1.64 ------ Proving...
% 8.33/1.64 ------ Problem Properties
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64 clauses 235
% 8.33/1.64 conjectures 42
% 8.33/1.64 EPR 77
% 8.33/1.64 Horn 170
% 8.33/1.64 unary 64
% 8.33/1.64 binary 58
% 8.33/1.64 lits 701
% 8.33/1.64 lits eq 116
% 8.33/1.64 fd_pure 0
% 8.33/1.64 fd_pseudo 0
% 8.33/1.64 fd_cond 15
% 8.33/1.64 fd_pseudo_cond 14
% 8.33/1.64 AC symbols 0
% 8.33/1.64
% 8.33/1.64 ------ Input Options Time Limit: Unbounded
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64 ------
% 8.33/1.64 Current options:
% 8.33/1.64 ------
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64 ------ Proving...
% 8.33/1.64
% 8.33/1.64
% 8.33/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.33/1.64
% 8.33/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.33/1.64
% 8.33/1.65
%------------------------------------------------------------------------------