TSTP Solution File: SYN569-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN569-1 : TPTP v8.1.2. Released v2.5.0.
% 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 03:31:36 EDT 2024

% Result   : Unsatisfiable 3.34s 1.17s
% Output   : CNFRefutation 3.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(c_51,negated_conjecture,
    p8(c14,c12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

cnf(c_53,negated_conjecture,
    p8(c11,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).

cnf(c_54,negated_conjecture,
    p9(c13,c15,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).

cnf(c_55,negated_conjecture,
    ( ~ p8(X0,X1)
    | p10(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).

cnf(c_58,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

cnf(c_59,negated_conjecture,
    ( ~ p9(X0,X1,X2)
    | ~ p9(X0,X3,X2)
    | p2(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

cnf(c_60,negated_conjecture,
    ( ~ p10(X0,c12)
    | ~ p10(c11,X0)
    | p9(c13,f3(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).

cnf(c_63,negated_conjecture,
    p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).

cnf(c_64,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f4(X0,X2),f4(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).

cnf(c_68,negated_conjecture,
    ( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0)))
    | ~ p8(X0,c12)
    | ~ p8(c11,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).

cnf(c_174,plain,
    f7(c13,c12) = sP0_iProver_def,
    definition ).

cnf(c_175,plain,
    f7(c13,c11) = sP1_iProver_def,
    definition ).

cnf(c_176,plain,
    f5(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_177,plain,
    f5(c12,c11) = sP3_iProver_def,
    definition ).

cnf(c_178,plain,
    f4(sP3_iProver_def,c15) = sP4_iProver_def,
    definition ).

cnf(c_179,negated_conjecture,
    ( ~ p2(sP2_iProver_def,f4(sP3_iProver_def,f3(X0)))
    | ~ p8(X0,c12)
    | ~ p8(c11,X0) ),
    inference(demodulation,[status(thm)],[c_68,c_177,c_175,c_174,c_176]) ).

cnf(c_183,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f4(X0,X2),f4(X1,X3)) ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_184,negated_conjecture,
    p2(sP2_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_63,c_178]) ).

cnf(c_187,negated_conjecture,
    ( ~ p10(X0,c12)
    | ~ p10(c11,X0)
    | p9(c13,f3(X0),X0) ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_188,negated_conjecture,
    ( ~ p9(X0,X1,X2)
    | ~ p9(X0,X3,X2)
    | p2(X1,X3) ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_189,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_192,negated_conjecture,
    ( ~ p8(X0,X1)
    | p10(X0,X1) ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_193,negated_conjecture,
    p9(c13,c15,c14),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_194,negated_conjecture,
    p8(c11,c14),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_196,negated_conjecture,
    p8(c14,c12),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_198,negated_conjecture,
    p2(X0,X0),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_199,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_202,plain,
    ( X0 != X1
    | X2 != X3
    | ~ p2(X1,X3)
    | p2(X0,X2) ),
    theory(equality) ).

cnf(c_551,plain,
    p10(c14,c12),
    inference(superposition,[status(thm)],[c_196,c_192]) ).

cnf(c_553,plain,
    p10(c11,c14),
    inference(superposition,[status(thm)],[c_194,c_192]) ).

cnf(c_572,plain,
    ( ~ p2(sP2_iProver_def,X0)
    | p2(sP4_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_184,c_189]) ).

cnf(c_598,plain,
    ( ~ p9(c13,X0,c14)
    | p2(c15,X0) ),
    inference(superposition,[status(thm)],[c_193,c_188]) ).

cnf(c_785,plain,
    ( ~ p2(sP2_iProver_def,f4(sP3_iProver_def,f3(c14)))
    | ~ p8(c14,c12)
    | ~ p8(c11,c14) ),
    inference(instantiation,[status(thm)],[c_179]) ).

cnf(c_814,plain,
    p2(sP4_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_198,c_572]) ).

cnf(c_850,plain,
    ( ~ p10(c14,c12)
    | ~ p10(c11,c14)
    | p2(c15,f3(c14)) ),
    inference(superposition,[status(thm)],[c_187,c_598]) ).

cnf(c_851,plain,
    p2(c15,f3(c14)),
    inference(forward_subsumption_resolution,[status(thm)],[c_850,c_553,c_551]) ).

cnf(c_971,plain,
    ( ~ p2(X0,f4(sP3_iProver_def,f3(c14)))
    | ~ p2(X0,sP2_iProver_def)
    | p2(sP2_iProver_def,f4(sP3_iProver_def,f3(c14))) ),
    inference(instantiation,[status(thm)],[c_189]) ).

cnf(c_1417,plain,
    ( X0 != X1
    | sP2_iProver_def != X2
    | ~ p2(X1,X2)
    | p2(X0,sP2_iProver_def) ),
    inference(instantiation,[status(thm)],[c_202]) ).

cnf(c_1706,plain,
    sP2_iProver_def = sP2_iProver_def,
    inference(instantiation,[status(thm)],[c_199]) ).

cnf(c_2259,plain,
    ( X0 != X1
    | sP2_iProver_def != sP2_iProver_def
    | ~ p2(X1,sP2_iProver_def)
    | p2(X0,sP2_iProver_def) ),
    inference(instantiation,[status(thm)],[c_1417]) ).

cnf(c_2979,plain,
    ( X0 != sP4_iProver_def
    | sP2_iProver_def != sP2_iProver_def
    | ~ p2(sP4_iProver_def,sP2_iProver_def)
    | p2(X0,sP2_iProver_def) ),
    inference(instantiation,[status(thm)],[c_2259]) ).

cnf(c_3843,plain,
    ( f4(sP3_iProver_def,c15) != sP4_iProver_def
    | sP2_iProver_def != sP2_iProver_def
    | ~ p2(sP4_iProver_def,sP2_iProver_def)
    | p2(f4(sP3_iProver_def,c15),sP2_iProver_def) ),
    inference(instantiation,[status(thm)],[c_2979]) ).

cnf(c_4932,plain,
    ( ~ p2(f4(sP3_iProver_def,c15),f4(sP3_iProver_def,f3(c14)))
    | ~ p2(f4(sP3_iProver_def,c15),sP2_iProver_def)
    | p2(sP2_iProver_def,f4(sP3_iProver_def,f3(c14))) ),
    inference(instantiation,[status(thm)],[c_971]) ).

cnf(c_5648,plain,
    ( ~ p2(c15,f3(c14))
    | ~ p2(sP3_iProver_def,sP3_iProver_def)
    | p2(f4(sP3_iProver_def,c15),f4(sP3_iProver_def,f3(c14))) ),
    inference(instantiation,[status(thm)],[c_183]) ).

cnf(c_6505,plain,
    p2(sP3_iProver_def,sP3_iProver_def),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_6506,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6505,c_5648,c_4932,c_3843,c_1706,c_851,c_814,c_785,c_178,c_51,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN569-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n006.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 20:46:20 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 3.34/1.17  % SZS status Started for theBenchmark.p
% 3.34/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.34/1.17  
% 3.34/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.34/1.17  
% 3.34/1.17  ------  iProver source info
% 3.34/1.17  
% 3.34/1.17  git: date: 2024-05-02 19:28:25 +0000
% 3.34/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.34/1.17  git: non_committed_changes: false
% 3.34/1.17  
% 3.34/1.17  ------ Parsing...successful
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.34/1.17  
% 3.34/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.34/1.17  
% 3.34/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.34/1.17  ------ Proving...
% 3.34/1.17  ------ Problem Properties 
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  clauses                                 25
% 3.34/1.17  conjectures                             20
% 3.34/1.17  EPR                                     14
% 3.34/1.17  Horn                                    25
% 3.34/1.17  unary                                   12
% 3.34/1.17  binary                                  2
% 3.34/1.17  lits                                    53
% 3.34/1.17  lits eq                                 5
% 3.34/1.17  fd_pure                                 0
% 3.34/1.17  fd_pseudo                               0
% 3.34/1.17  fd_cond                                 0
% 3.34/1.17  fd_pseudo_cond                          0
% 3.34/1.17  AC symbols                              0
% 3.34/1.17  
% 3.34/1.17  ------ Schedule dynamic 5 is on 
% 3.34/1.17  
% 3.34/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  ------ 
% 3.34/1.17  Current options:
% 3.34/1.17  ------ 
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  ------ Proving...
% 3.34/1.17  
% 3.34/1.17  
% 3.34/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.34/1.17  
% 3.34/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.34/1.17  
% 3.34/1.17  
%------------------------------------------------------------------------------