TSTP Solution File: SYN580-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN580-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 03:31:39 EDT 2024

% Result   : Unsatisfiable 2.49s 1.15s
% Output   : CNFRefutation 2.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   54 (  13 unt;   9 nHn;  44 RR)
%            Number of literals    :  143 (   0 equ;  82 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   68 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    p7(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

cnf(c_52,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

cnf(c_53,negated_conjecture,
    p11(c15,c16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_5) ).

cnf(c_54,negated_conjecture,
    p9(c12,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).

cnf(c_55,negated_conjecture,
    p2(c14,f3(c15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(c_56,negated_conjecture,
    ~ p8(c12,c13,c14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_8) ).

cnf(c_57,negated_conjecture,
    ( ~ p2(X0,X1)
    | p4(f6(X0),f6(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).

cnf(c_63,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).

cnf(c_64,negated_conjecture,
    ( ~ p11(X0,c16)
    | ~ p9(c12,X1)
    | p8(c12,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_16) ).

cnf(c_65,negated_conjecture,
    ( ~ p9(c12,X0)
    | p8(c12,X0,X1)
    | p9(c12,f5(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).

cnf(c_66,negated_conjecture,
    ( ~ p9(c12,X0)
    | p8(c12,X0,f3(X1))
    | p9(c12,f6(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_18) ).

cnf(c_69,negated_conjecture,
    ( ~ p8(c12,f5(X0),f3(X0))
    | ~ p9(c12,X1)
    | p8(c12,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_21) ).

cnf(c_70,negated_conjecture,
    ( ~ p8(c12,f6(X0),X0)
    | ~ p9(c12,X1)
    | p8(c12,X1,f3(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_22) ).

cnf(c_71,negated_conjecture,
    ( ~ p8(X0,X1,X2)
    | ~ p7(X0,X3)
    | ~ p4(X1,X4)
    | ~ p2(X2,X5)
    | p8(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_23) ).

cnf(c_74,plain,
    p7(c12,c12),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_193,negated_conjecture,
    ( ~ p8(X0,X1,X2)
    | ~ p7(X0,X3)
    | ~ p4(X1,X4)
    | ~ p2(X2,X5)
    | p8(X3,X4,X5) ),
    inference(demodulation,[status(thm)],[c_71]) ).

cnf(c_194,negated_conjecture,
    ( ~ p8(c12,f6(X0),X0)
    | ~ p9(c12,X1)
    | p8(c12,X1,f3(X0)) ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_195,negated_conjecture,
    ( ~ p8(c12,f5(X0),f3(X0))
    | ~ p9(c12,X1)
    | p8(c12,X1,X0) ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_198,negated_conjecture,
    ( ~ p9(c12,X0)
    | p8(c12,X0,f3(X1))
    | p9(c12,f6(X1)) ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_199,negated_conjecture,
    ( ~ p9(c12,X0)
    | p8(c12,X0,X1)
    | p9(c12,f5(X1)) ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_200,negated_conjecture,
    ( ~ p11(X0,c16)
    | ~ p9(c12,X1)
    | p8(c12,X1,X0) ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_201,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_207,negated_conjecture,
    ( ~ p2(X0,X1)
    | p4(f6(X0),f6(X1)) ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_208,negated_conjecture,
    ~ p8(c12,c13,c14),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_210,negated_conjecture,
    p9(c12,c13),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_212,negated_conjecture,
    p2(X0,X0),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_656,plain,
    ( ~ p9(c12,c13)
    | p9(c12,f5(c14)) ),
    inference(superposition,[status(thm)],[c_199,c_208]) ).

cnf(c_657,plain,
    p9(c12,f5(c14)),
    inference(forward_subsumption_resolution,[status(thm)],[c_656,c_210]) ).

cnf(c_849,plain,
    ( ~ p9(c12,X0)
    | ~ p11(c15,c16)
    | p8(c12,X0,c15) ),
    inference(instantiation,[status(thm)],[c_200]) ).

cnf(c_886,plain,
    ( ~ p8(c12,f5(X0),f3(X0))
    | ~ p9(c12,c13)
    | p8(c12,c13,X0) ),
    inference(instantiation,[status(thm)],[c_195]) ).

cnf(c_1036,plain,
    ( ~ p8(c12,f5(c14),f3(c14))
    | ~ p9(c12,c13)
    | p8(c12,c13,c14) ),
    inference(instantiation,[status(thm)],[c_886]) ).

cnf(c_1206,plain,
    ( ~ p8(c12,f6(X0),X0)
    | ~ p9(c12,f5(c14))
    | p8(c12,f5(c14),f3(X0)) ),
    inference(instantiation,[status(thm)],[c_194]) ).

cnf(c_1211,plain,
    ( ~ p9(c12,f5(c14))
    | p8(c12,f5(c14),f3(X0))
    | p9(c12,f6(X0)) ),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_1710,plain,
    ( ~ p8(c12,f6(X0),X0)
    | ~ p9(c12,f6(X1))
    | p8(c12,f6(X1),f3(X0)) ),
    inference(instantiation,[status(thm)],[c_194]) ).

cnf(c_1713,plain,
    ( ~ p9(c12,f6(X0))
    | ~ p11(c15,c16)
    | p8(c12,f6(X0),c15) ),
    inference(instantiation,[status(thm)],[c_849]) ).

cnf(c_1715,plain,
    ( ~ p9(c12,f6(X0))
    | p8(c12,f6(X0),f3(X1))
    | p9(c12,f6(X1)) ),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_2519,plain,
    ( ~ p2(X0,X1)
    | ~ p2(X0,c14)
    | p2(X1,c14) ),
    inference(instantiation,[status(thm)],[c_201]) ).

cnf(c_2539,plain,
    ( ~ p9(c12,f5(c14))
    | p8(c12,f5(c14),f3(c14))
    | p9(c12,f6(c14)) ),
    inference(instantiation,[status(thm)],[c_1211]) ).

cnf(c_2875,plain,
    ( ~ p9(c12,f6(c14))
    | p8(c12,f6(c14),f3(X0))
    | p9(c12,f6(X0)) ),
    inference(instantiation,[status(thm)],[c_1715]) ).

cnf(c_3144,plain,
    p2(c14,c14),
    inference(instantiation,[status(thm)],[c_212]) ).

cnf(c_3523,plain,
    ( ~ p2(c14,X0)
    | ~ p2(c14,c14)
    | p2(X0,c14) ),
    inference(instantiation,[status(thm)],[c_2519]) ).

cnf(c_3794,plain,
    ( ~ p9(c12,f6(c15))
    | ~ p11(c15,c16)
    | p8(c12,f6(c15),c15) ),
    inference(instantiation,[status(thm)],[c_1713]) ).

cnf(c_3795,plain,
    ( ~ p8(c12,f6(c15),c15)
    | ~ p9(c12,f6(X0))
    | p8(c12,f6(X0),f3(c15)) ),
    inference(instantiation,[status(thm)],[c_1710]) ).

cnf(c_4061,plain,
    ( ~ p2(c14,X0)
    | p4(f6(c14),f6(X0)) ),
    inference(instantiation,[status(thm)],[c_207]) ).

cnf(c_4808,plain,
    ( ~ p2(c14,c14)
    | p4(f6(c14),f6(c14)) ),
    inference(instantiation,[status(thm)],[c_4061]) ).

cnf(c_4837,plain,
    ( ~ p9(c12,f6(c14))
    | p8(c12,f6(c14),f3(c15))
    | p9(c12,f6(c15)) ),
    inference(instantiation,[status(thm)],[c_2875]) ).

cnf(c_5081,plain,
    ( ~ p8(c12,f6(c15),c15)
    | ~ p9(c12,f6(c14))
    | p8(c12,f6(c14),f3(c15)) ),
    inference(instantiation,[status(thm)],[c_3795]) ).

cnf(c_5348,plain,
    ( ~ p8(c12,f6(c14),c14)
    | ~ p9(c12,f5(c14))
    | p8(c12,f5(c14),f3(c14)) ),
    inference(instantiation,[status(thm)],[c_1206]) ).

cnf(c_5351,plain,
    ( ~ p8(c12,f6(c14),X0)
    | ~ p4(f6(c14),X1)
    | ~ p2(X0,X2)
    | ~ p7(c12,X3)
    | p8(X3,X1,X2) ),
    inference(instantiation,[status(thm)],[c_193]) ).

cnf(c_6932,plain,
    ( ~ p8(c12,f6(c14),X0)
    | ~ p4(f6(c14),f6(c14))
    | ~ p2(X0,X1)
    | ~ p7(c12,X2)
    | p8(X2,f6(c14),X1) ),
    inference(instantiation,[status(thm)],[c_5351]) ).

cnf(c_8900,plain,
    ( ~ p2(c14,f3(c15))
    | ~ p2(c14,c14)
    | p2(f3(c15),c14) ),
    inference(instantiation,[status(thm)],[c_3523]) ).

cnf(c_9672,plain,
    ( ~ p8(c12,f6(c14),X0)
    | ~ p4(f6(c14),f6(c14))
    | ~ p2(X0,c14)
    | ~ p7(c12,c12)
    | p8(c12,f6(c14),c14) ),
    inference(instantiation,[status(thm)],[c_6932]) ).

cnf(c_13005,plain,
    ( ~ p8(c12,f6(c14),f3(c15))
    | ~ p4(f6(c14),f6(c14))
    | ~ p2(f3(c15),c14)
    | ~ p7(c12,c12)
    | p8(c12,f6(c14),c14) ),
    inference(instantiation,[status(thm)],[c_9672]) ).

cnf(c_13006,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_13005,c_8900,c_5348,c_5081,c_4837,c_4808,c_3794,c_3144,c_2539,c_1036,c_657,c_56,c_55,c_74,c_53,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN580-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 21:05:18 EDT 2024
% 0.13/0.34  % 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
% 2.49/1.15  % SZS status Started for theBenchmark.p
% 2.49/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.49/1.15  
% 2.49/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.49/1.15  
% 2.49/1.15  ------  iProver source info
% 2.49/1.15  
% 2.49/1.15  git: date: 2024-05-02 19:28:25 +0000
% 2.49/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.49/1.15  git: non_committed_changes: false
% 2.49/1.15  
% 2.49/1.15  ------ Parsing...successful
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.49/1.15  
% 2.49/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.49/1.15  
% 2.49/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.49/1.15  ------ Proving...
% 2.49/1.15  ------ Problem Properties 
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  clauses                                 24
% 2.49/1.15  conjectures                             23
% 2.49/1.15  EPR                                     16
% 2.49/1.15  Horn                                    22
% 2.49/1.15  unary                                   9
% 2.49/1.15  binary                                  3
% 2.49/1.15  lits                                    55
% 2.49/1.15  lits eq                                 1
% 2.49/1.15  fd_pure                                 0
% 2.49/1.15  fd_pseudo                               0
% 2.49/1.15  fd_cond                                 0
% 2.49/1.15  fd_pseudo_cond                          0
% 2.49/1.15  AC symbols                              0
% 2.49/1.15  
% 2.49/1.15  ------ Schedule dynamic 5 is on 
% 2.49/1.15  
% 2.49/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  ------ 
% 2.49/1.15  Current options:
% 2.49/1.15  ------ 
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  ------ Proving...
% 2.49/1.15  
% 2.49/1.15  
% 2.49/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.49/1.15  
% 2.49/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.49/1.15  
% 2.49/1.16  
%------------------------------------------------------------------------------