TSTP Solution File: SYN690-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 03:32:06 EDT 2024

% Result   : Unsatisfiable 3.39s 1.13s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (  11 unt;   8 nHn;  18 RR)
%            Number of literals    :   71 (   0 equ;  37 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_67,negated_conjecture,
    p34(c36,c37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34_19) ).

cnf(c_68,negated_conjecture,
    ~ p2(c38,c40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_20) ).

cnf(c_69,negated_conjecture,
    p4(f5(c40,X0),f5(f7(c39,c40),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_21) ).

cnf(c_70,negated_conjecture,
    p4(f5(c38,X0),f5(f7(c39,c38),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_22) ).

cnf(c_105,negated_conjecture,
    ( p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1))
    | p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).

cnf(c_106,negated_conjecture,
    ( ~ p4(f5(X0,f12(f14(f16(c41,X0),X1),X2)),f5(X1,f12(f14(f16(c41,X0),X1),X2)))
    | p4(f5(f7(c39,X0),X2),f5(f7(c39,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).

cnf(c_109,negated_conjecture,
    ( ~ p4(f5(X0,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X0),X3)))
    | ~ p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X0),X3)))
    | ~ p35(f10(X1,X4),f30(f32(c42,X1),X2))
    | ~ p34(c36,X1)
    | p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4))
    | p2(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_61) ).

cnf(c_110,negated_conjecture,
    ( ~ p4(f5(f7(X0,f26(f28(c43,X1),X0)),f30(f32(c42,X1),X0)),f5(f7(X0,f26(f28(c44,X1),X0)),f30(f32(c42,X1),X0)))
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,X1),X0),X2),X3)),f5(f7(X0,X2),f18(f20(f22(f24(c45,X1),X0),X2),X3)))
    | ~ p4(f5(X3,f18(f20(f22(f24(c45,X1),X0),X2),X3)),f5(f7(X0,X3),f18(f20(f22(f24(c45,X1),X0),X2),X3)))
    | ~ p34(c36,X1)
    | p2(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_62) ).

cnf(c_445,negated_conjecture,
    ( ~ p4(f5(f7(X0_16,f26(f28(c43,X0_19),X0_16)),f30(f32(c42,X0_19),X0_16)),f5(f7(X0_16,f26(f28(c44,X0_19),X0_16)),f30(f32(c42,X0_19),X0_16)))
    | ~ p4(f5(X0_14,f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)),f5(f7(X0_16,X0_14),f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)))
    | ~ p4(f5(X1_14,f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)),f5(f7(X0_16,X1_14),f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)))
    | ~ p34(c36,X0_19)
    | p2(X0_14,X1_14) ),
    inference(subtyping,[status(esa)],[c_110]) ).

cnf(c_446,negated_conjecture,
    ( ~ p4(f5(X0_14,f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)),f5(f7(X0_16,X0_14),f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)))
    | ~ p4(f5(X1_14,f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)),f5(f7(X0_16,X1_14),f18(f20(f22(f24(c45,X0_19),X0_16),X0_14),X1_14)))
    | ~ p35(f10(X0_19,X0_15),f30(f32(c42,X0_19),X0_16))
    | ~ p34(c36,X0_19)
    | p4(f5(f26(f28(c43,X0_19),X0_16),X0_15),f5(f26(f28(c44,X0_19),X0_16),X0_15))
    | p2(X0_14,X1_14) ),
    inference(subtyping,[status(esa)],[c_109]) ).

cnf(c_449,negated_conjecture,
    ( ~ p4(f5(X0_14,f12(f14(f16(c41,X0_14),X1_14),X0_15)),f5(X1_14,f12(f14(f16(c41,X0_14),X1_14),X0_15)))
    | p4(f5(f7(c39,X0_14),X0_15),f5(f7(c39,X1_14),X0_15)) ),
    inference(subtyping,[status(esa)],[c_106]) ).

cnf(c_450,negated_conjecture,
    ( p4(f5(f7(c39,X0_14),X0_15),f5(f7(c39,X1_14),X0_15))
    | p35(f10(c37,f12(f14(f16(c41,X0_14),X1_14),X0_15)),X0_15) ),
    inference(subtyping,[status(esa)],[c_105]) ).

cnf(c_485,negated_conjecture,
    p4(f5(c38,X0_15),f5(f7(c39,c38),X0_15)),
    inference(subtyping,[status(esa)],[c_70]) ).

cnf(c_486,negated_conjecture,
    p4(f5(c40,X0_15),f5(f7(c39,c40),X0_15)),
    inference(subtyping,[status(esa)],[c_69]) ).

cnf(c_791,plain,
    ( ~ p4(f5(f7(X0_16,f26(f28(c43,X0_19),X0_16)),f30(f32(c42,X0_19),X0_16)),f5(f7(X0_16,f26(f28(c44,X0_19),X0_16)),f30(f32(c42,X0_19),X0_16)))
    | ~ p4(f5(c38,f18(f20(f22(f24(c45,X0_19),X0_16),c38),c40)),f5(f7(X0_16,c38),f18(f20(f22(f24(c45,X0_19),X0_16),c38),c40)))
    | ~ p4(f5(c40,f18(f20(f22(f24(c45,X0_19),X0_16),c38),c40)),f5(f7(X0_16,c40),f18(f20(f22(f24(c45,X0_19),X0_16),c38),c40)))
    | ~ p34(c36,X0_19)
    | p2(c38,c40) ),
    inference(instantiation,[status(thm)],[c_445]) ).

cnf(c_792,plain,
    ( ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
    | ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
    | ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
    | ~ p34(c36,c37)
    | p2(c38,c40) ),
    inference(instantiation,[status(thm)],[c_791]) ).

cnf(c_875,plain,
    p4(f5(c40,f18(f20(f22(f24(c45,X0_19),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,X0_19),c39),c38),c40))),
    inference(instantiation,[status(thm)],[c_486]) ).

cnf(c_876,plain,
    p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
    inference(instantiation,[status(thm)],[c_875]) ).

cnf(c_969,plain,
    p4(f5(c38,f18(f20(f22(f24(c45,X0_19),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,X0_19),c39),c38),c40))),
    inference(instantiation,[status(thm)],[c_485]) ).

cnf(c_970,plain,
    p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
    inference(instantiation,[status(thm)],[c_969]) ).

cnf(c_1190,plain,
    ( ~ p4(f5(f26(f28(c43,X0_19),c39),f12(f14(f16(c41,f26(f28(c43,X0_19),c39)),f26(f28(c44,X0_19),c39)),f30(f32(c42,X0_19),c39))),f5(f26(f28(c44,X0_19),c39),f12(f14(f16(c41,f26(f28(c43,X0_19),c39)),f26(f28(c44,X0_19),c39)),f30(f32(c42,X0_19),c39))))
    | p4(f5(f7(c39,f26(f28(c43,X0_19),c39)),f30(f32(c42,X0_19),c39)),f5(f7(c39,f26(f28(c44,X0_19),c39)),f30(f32(c42,X0_19),c39))) ),
    inference(instantiation,[status(thm)],[c_449]) ).

cnf(c_1191,plain,
    ( p4(f5(f7(c39,f26(f28(c43,X0_19),c39)),f30(f32(c42,X0_19),c39)),f5(f7(c39,f26(f28(c44,X0_19),c39)),f30(f32(c42,X0_19),c39)))
    | p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,X0_19),c39)),f26(f28(c44,X0_19),c39)),f30(f32(c42,X0_19),c39))),f30(f32(c42,X0_19),c39)) ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_1192,plain,
    ( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
    | p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)) ),
    inference(instantiation,[status(thm)],[c_1191]) ).

cnf(c_1193,plain,
    ( ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
    | p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
    inference(instantiation,[status(thm)],[c_1190]) ).

cnf(c_1255,plain,
    ( ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
    | ~ p4(f5(X0_14,f18(f20(f22(f24(c45,c37),c39),X0_14),X1_14)),f5(f7(c39,X0_14),f18(f20(f22(f24(c45,c37),c39),X0_14),X1_14)))
    | ~ p4(f5(X1_14,f18(f20(f22(f24(c45,c37),c39),X0_14),X1_14)),f5(f7(c39,X1_14),f18(f20(f22(f24(c45,c37),c39),X0_14),X1_14)))
    | ~ p34(c36,c37)
    | p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
    | p2(X0_14,X1_14) ),
    inference(instantiation,[status(thm)],[c_446]) ).

cnf(c_2459,plain,
    ( ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
    | ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
    | ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
    | ~ p34(c36,c37)
    | p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
    | p2(c38,c40) ),
    inference(instantiation,[status(thm)],[c_1255]) ).

cnf(c_2460,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2459,c_1193,c_1192,c_970,c_876,c_792,c_68,c_67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:21:27 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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
% 3.39/1.13  % SZS status Started for theBenchmark.p
% 3.39/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.13  
% 3.39/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.39/1.13  
% 3.39/1.13  ------  iProver source info
% 3.39/1.13  
% 3.39/1.13  git: date: 2024-05-02 19:28:25 +0000
% 3.39/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.39/1.13  git: non_committed_changes: false
% 3.39/1.13  
% 3.39/1.13  ------ Parsing...successful
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.39/1.13  
% 3.39/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.39/1.13  ------ Proving...
% 3.39/1.13  ------ Problem Properties 
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  clauses                                 62
% 3.39/1.13  conjectures                             62
% 3.39/1.13  EPR                                     40
% 3.39/1.13  Horn                                    59
% 3.39/1.13  unary                                   22
% 3.39/1.13  binary                                  2
% 3.39/1.13  lits                                    148
% 3.39/1.13  lits eq                                 0
% 3.39/1.13  fd_pure                                 0
% 3.39/1.13  fd_pseudo                               0
% 3.39/1.13  fd_cond                                 0
% 3.39/1.13  fd_pseudo_cond                          0
% 3.39/1.13  AC symbols                              0
% 3.39/1.13  
% 3.39/1.13  ------ Input Options Time Limit: Unbounded
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  ------ 
% 3.39/1.13  Current options:
% 3.39/1.13  ------ 
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  ------ Proving...
% 3.39/1.13  
% 3.39/1.13  
% 3.39/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.13  
% 3.39/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.13  
% 3.39/1.13  
%------------------------------------------------------------------------------