TSTP Solution File: SYN702-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN702-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 03:32:08 EDT 2024

% Result   : Unsatisfiable 2.64s 0.97s
% Output   : CNFRefutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   29 (  14 unt;   0 nHn;  23 RR)
%            Number of literals    :   61 (   0 equ;  35 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  10 con; 0-2 aty)
%            Number of variables   :   55 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    p7(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).

cnf(c_68,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

cnf(c_99,negated_conjecture,
    ~ p47(f20(f22(f24(f26(c55,X0),X1),X2),X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p47_51) ).

cnf(c_100,negated_conjecture,
    ( ~ p7(X0,X1)
    | ~ p4(X2,X3)
    | ~ p47(X2,X0)
    | p47(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_52) ).

cnf(c_105,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p2(X2,X3)
    | p4(f5(X2,X0),f5(X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).

cnf(c_121,negated_conjecture,
    ( ~ p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),X3)
    | p47(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_73) ).

cnf(c_124,negated_conjecture,
    p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_76) ).

cnf(c_127,negated_conjecture,
    p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c55,X0),X1),X2),X3)),f30(f32(f34(f36(c56,X0),X1),X2),X3)),f40(f42(f44(f46(c57,X0),X1),X2),X3))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_79) ).

cnf(c_849,negated_conjecture,
    p3(f8(f10(c49,f13(f16(f18(c50,X0_22),X0_20),X0_18)),X0_15),f13(f16(f18(c50,f20(f22(f24(f26(c55,X0_22),X0_20),X0_18),X0_15)),f30(f32(f34(f36(c56,X0_22),X0_20),X0_18),X0_15)),f40(f42(f44(f46(c57,X0_22),X0_20),X0_18),X0_15))),
    inference(subtyping,[status(esa)],[c_127]) ).

cnf(c_853,negated_conjecture,
    ( ~ p47(f5(c48,f13(f16(f18(c50,X0_22),X0_20),X0_18)),X0_15)
    | p47(X0_22,X0_15) ),
    inference(subtyping,[status(esa)],[c_121]) ).

cnf(c_867,negated_conjecture,
    ( ~ p3(X0_13,X1_13)
    | ~ p2(X0_35,X1_35)
    | p4(f5(X0_35,X0_13),f5(X1_35,X1_13)) ),
    inference(subtyping,[status(esa)],[c_105]) ).

cnf(c_872,negated_conjecture,
    ( ~ p7(X0_15,X1_15)
    | ~ p4(X0_22,X1_22)
    | ~ p47(X0_22,X0_15)
    | p47(X1_22,X1_15) ),
    inference(subtyping,[status(esa)],[c_100]) ).

cnf(c_873,negated_conjecture,
    ~ p47(f20(f22(f24(f26(c55,X0_22),X0_20),X0_18),X0_15),X0_15),
    inference(subtyping,[status(esa)],[c_99]) ).

cnf(c_902,negated_conjecture,
    p2(X0_35,X0_35),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_917,negated_conjecture,
    p7(X0_15,X0_15),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_924,plain,
    p2(c48,c48),
    inference(instantiation,[status(thm)],[c_902]) ).

cnf(c_939,plain,
    p7(c54,c54),
    inference(instantiation,[status(thm)],[c_917]) ).

cnf(c_942,plain,
    ~ p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),c54),
    inference(instantiation,[status(thm)],[c_873]) ).

cnf(c_963,plain,
    p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),
    inference(instantiation,[status(thm)],[c_849]) ).

cnf(c_1100,plain,
    ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0_22)
    | ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54)
    | ~ p7(c54,X0_15)
    | p47(X0_22,X0_15) ),
    inference(instantiation,[status(thm)],[c_872]) ).

cnf(c_1116,plain,
    ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(X0_35,X0_13))
    | ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54)
    | ~ p7(c54,X0_15)
    | p47(f5(X0_35,X0_13),X0_15) ),
    inference(instantiation,[status(thm)],[c_1100]) ).

cnf(c_1117,plain,
    ( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),X0_13)
    | ~ p2(c48,X0_35)
    | p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(X0_35,X0_13)) ),
    inference(instantiation,[status(thm)],[c_867]) ).

cnf(c_1163,plain,
    ( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54)))
    | ~ p2(c48,X0_35)
    | p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(X0_35,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54)))) ),
    inference(instantiation,[status(thm)],[c_1117]) ).

cnf(c_1165,plain,
    ( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54)))
    | ~ p2(c48,c48)
    | p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54)))) ),
    inference(instantiation,[status(thm)],[c_1163]) ).

cnf(c_1253,plain,
    ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(X0_35,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))))
    | ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54)
    | ~ p7(c54,X0_15)
    | p47(f5(X0_35,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),X0_15) ),
    inference(instantiation,[status(thm)],[c_1116]) ).

cnf(c_1254,plain,
    ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))))
    | ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54)
    | ~ p7(c54,c54)
    | p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),c54) ),
    inference(instantiation,[status(thm)],[c_1253]) ).

cnf(c_1958,plain,
    ( ~ p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),X0_15)
    | p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),X0_15) ),
    inference(instantiation,[status(thm)],[c_853]) ).

cnf(c_1959,plain,
    ( ~ p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),c54)
    | p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),c54) ),
    inference(instantiation,[status(thm)],[c_1958]) ).

cnf(c_1960,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1959,c_1254,c_1165,c_963,c_942,c_939,c_924,c_124]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : SYN702-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.08  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May  2 20:52:23 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.64/0.97  % SZS status Started for theBenchmark.p
% 2.64/0.97  % SZS status Unsatisfiable for theBenchmark.p
% 2.64/0.97  
% 2.64/0.97  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.64/0.97  
% 2.64/0.97  ------  iProver source info
% 2.64/0.97  
% 2.64/0.97  git: date: 2024-05-02 19:28:25 +0000
% 2.64/0.97  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.64/0.97  git: non_committed_changes: false
% 2.64/0.97  
% 2.64/0.97  ------ Parsing...successful
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  ------ Preprocessing... sf_s  rm: 8 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.64/0.97  
% 2.64/0.97  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.64/0.97  ------ Proving...
% 2.64/0.97  ------ Problem Properties 
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  clauses                                 71
% 2.64/0.97  conjectures                             71
% 2.64/0.97  EPR                                     47
% 2.64/0.97  Horn                                    71
% 2.64/0.97  unary                                   26
% 2.64/0.97  binary                                  3
% 2.64/0.97  lits                                    159
% 2.64/0.97  lits eq                                 0
% 2.64/0.97  fd_pure                                 0
% 2.64/0.97  fd_pseudo                               0
% 2.64/0.97  fd_cond                                 0
% 2.64/0.97  fd_pseudo_cond                          0
% 2.64/0.97  AC symbols                              0
% 2.64/0.97  
% 2.64/0.97  ------ Input Options Time Limit: Unbounded
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  ------ 
% 2.64/0.97  Current options:
% 2.64/0.97  ------ 
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  ------ Proving...
% 2.64/0.97  
% 2.64/0.97  
% 2.64/0.97  % SZS status Unsatisfiable for theBenchmark.p
% 2.64/0.97  
% 2.64/0.97  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.64/0.97  
% 2.64/0.97  
%------------------------------------------------------------------------------