TSTP Solution File: SYN716-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN716-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 03:32:11 EDT 2024

% Result   : Unsatisfiable 3.92s 1.18s
% Output   : CNFRefutation 3.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   30 (  12 unt;   0 nHn;  24 RR)
%            Number of literals    :   65 (   0 equ;  36 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   61 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_68,negated_conjecture,
    p32(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).

cnf(c_76,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).

cnf(c_82,negated_conjecture,
    ~ p62(c67,c72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p62_34) ).

cnf(c_116,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p32(X2,X3)
    | ~ p62(X0,X2)
    | p62(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_68) ).

cnf(c_134,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p2(X2,X3)
    | p4(f5(X2,X0),f5(X3,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_86) ).

cnf(c_145,negated_conjecture,
    ( ~ p62(f5(c64,f16(f19(f21(c66,X0),X1),X2)),X3)
    | p62(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).

cnf(c_147,negated_conjecture,
    ( ~ p62(f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4),X5)
    | p62(X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).

cnf(c_148,negated_conjecture,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).

cnf(c_154,negated_conjecture,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_106) ).

cnf(c_1108,negated_conjecture,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,X0_24),X0_22),X0_20)),X0_17),X0_15),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0_24),X0_22),X0_20),X0_17),X0_15)),f43(f45(f47(f49(f51(c75,X0_24),X0_22),X0_20),X0_17),X0_15)),f53(f55(f57(f59(f61(c76,X0_24),X0_22),X0_20),X0_17),X0_15))),
    inference(subtyping,[status(esa)],[c_154]) ).

cnf(c_1112,negated_conjecture,
    ( ~ p62(f23(f25(f27(f29(f31(c74,X0_24),X0_22),X0_20),X0_17),X0_15),X0_40)
    | p62(X0_24,X0_40) ),
    inference(subtyping,[status(esa)],[c_147]) ).

cnf(c_1114,negated_conjecture,
    ( ~ p62(f5(c64,f16(f19(f21(c66,X0_24),X0_22),X0_20)),X0_40)
    | p62(X0_24,X0_40) ),
    inference(subtyping,[status(esa)],[c_145]) ).

cnf(c_1125,negated_conjecture,
    ( ~ p3(X0_13,X1_13)
    | ~ p2(X0_41,X1_41)
    | p4(f5(X0_41,X0_13),f5(X1_41,X1_13)) ),
    inference(subtyping,[status(esa)],[c_134]) ).

cnf(c_1139,negated_conjecture,
    ( ~ p4(X0_24,X1_24)
    | ~ p32(X0_40,X1_40)
    | ~ p62(X0_24,X0_40)
    | p62(X1_24,X1_40) ),
    inference(subtyping,[status(esa)],[c_116]) ).

cnf(c_1175,negated_conjecture,
    p2(X0_41,X0_41),
    inference(subtyping,[status(esa)],[c_76]) ).

cnf(c_1183,negated_conjecture,
    p32(X0_40,X0_40),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_1204,plain,
    p2(c64,c64),
    inference(instantiation,[status(thm)],[c_1175]) ).

cnf(c_1211,plain,
    p32(c72,c72),
    inference(instantiation,[status(thm)],[c_1183]) ).

cnf(c_1252,plain,
    ( ~ p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72)
    | p62(c67,c72) ),
    inference(instantiation,[status(thm)],[c_1112]) ).

cnf(c_1255,plain,
    p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),
    inference(instantiation,[status(thm)],[c_1108]) ).

cnf(c_1256,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0_24)
    | ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
    | ~ p32(c72,X0_40)
    | p62(X0_24,X0_40) ),
    inference(instantiation,[status(thm)],[c_1139]) ).

cnf(c_1260,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(X0_41,X0_13))
    | ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
    | ~ p32(c72,X0_40)
    | p62(f5(X0_41,X0_13),X0_40) ),
    inference(instantiation,[status(thm)],[c_1256]) ).

cnf(c_1297,plain,
    ( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X0_13)
    | ~ p2(c64,X0_41)
    | p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(X0_41,X0_13)) ),
    inference(instantiation,[status(thm)],[c_1125]) ).

cnf(c_1338,plain,
    ( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))
    | ~ p2(c64,X0_41)
    | p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(X0_41,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))) ),
    inference(instantiation,[status(thm)],[c_1297]) ).

cnf(c_1339,plain,
    ( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))
    | ~ p2(c64,c64)
    | p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71)))) ),
    inference(instantiation,[status(thm)],[c_1338]) ).

cnf(c_1402,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(X0_41,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))))
    | ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
    | ~ p32(c72,X0_40)
    | p62(f5(X0_41,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),X0_40) ),
    inference(instantiation,[status(thm)],[c_1260]) ).

cnf(c_1403,plain,
    ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))))
    | ~ p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72)
    | ~ p32(c72,c72)
    | p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) ),
    inference(instantiation,[status(thm)],[c_1402]) ).

cnf(c_1770,plain,
    ( ~ p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),X0_40)
    | p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),X0_40) ),
    inference(instantiation,[status(thm)],[c_1114]) ).

cnf(c_1771,plain,
    ( ~ p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72)
    | p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72) ),
    inference(instantiation,[status(thm)],[c_1770]) ).

cnf(c_1772,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1771,c_1403,c_1339,c_1255,c_1252,c_1211,c_1204,c_148,c_82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN716-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 21:18:20 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 3.92/1.18  % SZS status Started for theBenchmark.p
% 3.92/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.18  
% 3.92/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.92/1.18  
% 3.92/1.18  ------  iProver source info
% 3.92/1.18  
% 3.92/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.92/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.92/1.18  git: non_committed_changes: false
% 3.92/1.18  
% 3.92/1.18  ------ Parsing...successful
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  ------ Preprocessing... sf_s  rm: 14 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.92/1.18  
% 3.92/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.92/1.18  ------ Proving...
% 3.92/1.18  ------ Problem Properties 
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  clauses                                 91
% 3.92/1.18  conjectures                             91
% 3.92/1.18  EPR                                     60
% 3.92/1.18  Horn                                    91
% 3.92/1.18  unary                                   32
% 3.92/1.18  binary                                  5
% 3.92/1.18  lits                                    205
% 3.92/1.18  lits eq                                 0
% 3.92/1.18  fd_pure                                 0
% 3.92/1.18  fd_pseudo                               0
% 3.92/1.18  fd_cond                                 0
% 3.92/1.18  fd_pseudo_cond                          0
% 3.92/1.18  AC symbols                              0
% 3.92/1.18  
% 3.92/1.18  ------ Input Options Time Limit: Unbounded
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  ------ 
% 3.92/1.18  Current options:
% 3.92/1.18  ------ 
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  ------ Proving...
% 3.92/1.18  
% 3.92/1.18  
% 3.92/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.18  
% 3.92/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.92/1.18  
% 3.92/1.18  
%------------------------------------------------------------------------------