TSTP Solution File: SYN632-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN632-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Mon Jun 24 19:40:05 EDT 2024

% Result   : Unsatisfiable 244.24s 32.32s
% Output   : CNFRefutation 244.24s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_54,negated_conjecture,
    p3(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).

cnf(c_55,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(c_65,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p3(X0,X2)
    | p3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

cnf(c_71,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p3(X2,X3)
    | ~ p21(X0,X2)
    | p21(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_23) ).

cnf(c_72,negated_conjecture,
    p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_24) ).

cnf(c_79,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p2(X2,X3)
    | p4(f5(X2,X0),f5(X3,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_31) ).

cnf(c_81,negated_conjecture,
    ( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2)
    | p3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_33) ).

cnf(c_82,negated_conjecture,
    ( ~ p3(X0,X1)
    | p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_34) ).

cnf(c_83,negated_conjecture,
    ( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27)
    | ~ p21(f5(c22,c23),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_35) ).

cnf(c_84,negated_conjecture,
    ( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
    | p21(f5(X1,f14(f16(f18(f20(c29,X0),X2),X1),X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_36) ).

cnf(c_86,negated_conjecture,
    ( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
    | p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).

cnf(c_283,plain,
    f12(c25,c26) = sP0_iProver_def,
    definition ).

cnf(c_284,plain,
    f10(c24,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_285,plain,
    f7(sP1_iProver_def,c22) = sP2_iProver_def,
    definition ).

cnf(c_286,plain,
    f5(c22,c23) = sP3_iProver_def,
    definition ).

cnf(c_287,plain,
    f12(c28,sP0_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_288,plain,
    f10(c24,sP4_iProver_def) = sP5_iProver_def,
    definition ).

cnf(c_289,plain,
    f7(sP5_iProver_def,c22) = sP6_iProver_def,
    definition ).

cnf(c_290,plain,
    f5(sP6_iProver_def,c23) = sP7_iProver_def,
    definition ).

cnf(c_291,negated_conjecture,
    ( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
    | p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3)) ),
    inference(demodulation,[status(thm)],[c_86]) ).

cnf(c_293,negated_conjecture,
    ( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
    | p21(f5(X1,f14(f16(f18(f20(c29,X0),X2),X1),X3)),X3) ),
    inference(demodulation,[status(thm)],[c_84]) ).

cnf(c_294,negated_conjecture,
    ( ~ p21(f5(sP2_iProver_def,X0),c27)
    | ~ p21(sP3_iProver_def,X0) ),
    inference(demodulation,[status(thm)],[c_83,c_286,c_283,c_284,c_285]) ).

cnf(c_295,negated_conjecture,
    ( ~ p3(X0,X1)
    | p21(f5(f7(sP1_iProver_def,X2),X0),X1) ),
    inference(demodulation,[status(thm)],[c_82]) ).

cnf(c_296,negated_conjecture,
    ( ~ p21(f5(f7(sP1_iProver_def,X0),X1),X2)
    | p3(X1,X2) ),
    inference(demodulation,[status(thm)],[c_81]) ).

cnf(c_298,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p2(X2,X3)
    | p4(f5(X2,X0),f5(X3,X1)) ),
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_305,negated_conjecture,
    p21(sP7_iProver_def,c27),
    inference(demodulation,[status(thm)],[c_72,c_287,c_288,c_289,c_290]) ).

cnf(c_306,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p3(X2,X3)
    | ~ p21(X0,X2)
    | p21(X1,X3) ),
    inference(demodulation,[status(thm)],[c_71]) ).

cnf(c_312,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p3(X0,X2)
    | p3(X1,X2) ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_322,negated_conjecture,
    p2(X0,X0),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_323,negated_conjecture,
    p3(X0,X0),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_329,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_336,plain,
    ( X0 != X1
    | X2 != X3
    | ~ p2(X1,X3)
    | p2(X0,X2) ),
    theory(equality) ).

cnf(c_1809,plain,
    ( ~ p2(f7(sP1_iProver_def,X0),X1)
    | ~ p3(X2,X3)
    | p4(f5(f7(sP1_iProver_def,X0),X2),f5(X1,X3)) ),
    inference(instantiation,[status(thm)],[c_298]) ).

cnf(c_2172,plain,
    ( f7(sP1_iProver_def,X0) != X1
    | X2 != X3
    | ~ p2(X1,X3)
    | p2(f7(sP1_iProver_def,X0),X2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

cnf(c_2513,plain,
    ( ~ p3(c27,X0)
    | p21(f5(f7(sP1_iProver_def,X1),c27),X0) ),
    inference(instantiation,[status(thm)],[c_295]) ).

cnf(c_3155,plain,
    ( f7(sP1_iProver_def,c22) != sP2_iProver_def
    | X0 != X1
    | ~ p2(sP2_iProver_def,X1)
    | p2(f7(sP1_iProver_def,c22),X0) ),
    inference(instantiation,[status(thm)],[c_2172]) ).

cnf(c_3785,plain,
    ( ~ p3(c27,c27)
    | p21(f5(f7(sP1_iProver_def,X0),c27),c27) ),
    inference(instantiation,[status(thm)],[c_2513]) ).

cnf(c_3786,plain,
    p3(c27,c27),
    inference(instantiation,[status(thm)],[c_323]) ).

cnf(c_4777,plain,
    ( f7(sP1_iProver_def,c22) != sP2_iProver_def
    | X0 != sP2_iProver_def
    | ~ p2(sP2_iProver_def,sP2_iProver_def)
    | p2(f7(sP1_iProver_def,c22),X0) ),
    inference(instantiation,[status(thm)],[c_3155]) ).

cnf(c_4778,plain,
    p2(sP2_iProver_def,sP2_iProver_def),
    inference(instantiation,[status(thm)],[c_322]) ).

cnf(c_5125,plain,
    sP2_iProver_def = sP2_iProver_def,
    inference(instantiation,[status(thm)],[c_329]) ).

cnf(c_5906,plain,
    ( f7(sP1_iProver_def,c22) != sP2_iProver_def
    | sP2_iProver_def != sP2_iProver_def
    | ~ p2(sP2_iProver_def,sP2_iProver_def)
    | p2(f7(sP1_iProver_def,c22),sP2_iProver_def) ),
    inference(instantiation,[status(thm)],[c_4777]) ).

cnf(c_9562,plain,
    ( ~ p2(f7(sP1_iProver_def,c22),sP2_iProver_def)
    | ~ p3(X0,X1)
    | p4(f5(f7(sP1_iProver_def,c22),X0),f5(sP2_iProver_def,X1)) ),
    inference(instantiation,[status(thm)],[c_1809]) ).

cnf(c_38491,plain,
    ( ~ p3(c27,c27)
    | p21(f5(f7(sP1_iProver_def,c22),c27),c27) ),
    inference(instantiation,[status(thm)],[c_3785]) ).

cnf(c_89296,plain,
    ( ~ p2(f7(sP1_iProver_def,c22),sP2_iProver_def)
    | ~ p3(c27,X0)
    | p4(f5(f7(sP1_iProver_def,c22),c27),f5(sP2_iProver_def,X0)) ),
    inference(instantiation,[status(thm)],[c_9562]) ).

cnf(c_115711,plain,
    ( ~ p2(f7(sP1_iProver_def,c22),sP2_iProver_def)
    | ~ p3(c27,c27)
    | p4(f5(f7(sP1_iProver_def,c22),c27),f5(sP2_iProver_def,c27)) ),
    inference(instantiation,[status(thm)],[c_89296]) ).

cnf(c_156155,plain,
    ( ~ p4(f5(f7(sP1_iProver_def,X0),X1),X2)
    | ~ p21(f5(f7(sP1_iProver_def,X0),X1),X3)
    | ~ p3(X3,X4)
    | p21(X2,X4) ),
    inference(instantiation,[status(thm)],[c_306]) ).

cnf(c_156181,plain,
    ( ~ p4(f5(f7(sP1_iProver_def,X0),X1),f5(X2,X3))
    | ~ p21(f5(f7(sP1_iProver_def,X0),X1),X4)
    | ~ p3(X4,X5)
    | p21(f5(X2,X3),X5) ),
    inference(instantiation,[status(thm)],[c_156155]) ).

cnf(c_158107,plain,
    ( ~ p4(f5(f7(sP1_iProver_def,c22),X0),f5(sP2_iProver_def,X1))
    | ~ p21(f5(f7(sP1_iProver_def,c22),X0),X2)
    | ~ p3(X2,X3)
    | p21(f5(sP2_iProver_def,X1),X3) ),
    inference(instantiation,[status(thm)],[c_156181]) ).

cnf(c_186840,plain,
    ( ~ p4(f5(f7(sP1_iProver_def,c22),X0),f5(sP2_iProver_def,X1))
    | ~ p21(f5(f7(sP1_iProver_def,c22),X0),X2)
    | ~ p3(X2,c27)
    | p21(f5(sP2_iProver_def,X1),c27) ),
    inference(instantiation,[status(thm)],[c_158107]) ).

cnf(c_210036,plain,
    ( ~ p4(f5(f7(sP1_iProver_def,c22),X0),f5(sP2_iProver_def,X1))
    | ~ p21(f5(f7(sP1_iProver_def,c22),X0),c27)
    | ~ p3(c27,c27)
    | p21(f5(sP2_iProver_def,X1),c27) ),
    inference(instantiation,[status(thm)],[c_186840]) ).

cnf(c_221056,plain,
    ( ~ p4(f5(f7(sP1_iProver_def,c22),c27),f5(sP2_iProver_def,X0))
    | ~ p21(f5(f7(sP1_iProver_def,c22),c27),c27)
    | ~ p3(c27,c27)
    | p21(f5(sP2_iProver_def,X0),c27) ),
    inference(instantiation,[status(thm)],[c_210036]) ).

cnf(c_248729,plain,
    ( ~ p4(f5(f7(sP1_iProver_def,c22),c27),f5(sP2_iProver_def,c27))
    | ~ p21(f5(f7(sP1_iProver_def,c22),c27),c27)
    | ~ p3(c27,c27)
    | p21(f5(sP2_iProver_def,c27),c27) ),
    inference(instantiation,[status(thm)],[c_221056]) ).

cnf(c_888625,plain,
    ( ~ p21(f5(f7(f10(c24,f12(c28,sP0_iProver_def)),X0),X1),X2)
    | p21(f5(f7(sP1_iProver_def,X0),X1),f14(f16(f18(f20(c29,sP0_iProver_def),X1),X0),X2)) ),
    inference(superposition,[status(thm)],[c_284,c_291]) ).

cnf(c_888629,plain,
    ( ~ p21(f5(f7(sP5_iProver_def,X0),X1),X2)
    | p21(f5(f7(sP1_iProver_def,X0),X1),f14(f16(f18(f20(c29,sP0_iProver_def),X1),X0),X2)) ),
    inference(light_normalisation,[status(thm)],[c_888625,c_287,c_288]) ).

cnf(c_888679,plain,
    ( ~ p21(f5(sP2_iProver_def,X0),X1)
    | p3(X0,X1) ),
    inference(superposition,[status(thm)],[c_285,c_296]) ).

cnf(c_888714,plain,
    ( ~ p3(X0,c23)
    | ~ p2(X1,c22)
    | p4(f5(X1,X0),sP3_iProver_def) ),
    inference(superposition,[status(thm)],[c_286,c_298]) ).

cnf(c_889001,plain,
    ( ~ p21(f5(f7(sP5_iProver_def,c22),X0),X1)
    | p21(f5(sP2_iProver_def,X0),f14(f16(f18(f20(c29,sP0_iProver_def),X0),c22),X1)) ),
    inference(superposition,[status(thm)],[c_285,c_888629]) ).

cnf(c_889005,plain,
    ( ~ p21(f5(sP6_iProver_def,X0),X1)
    | p21(f5(sP2_iProver_def,X0),f14(f16(f18(f20(c29,sP0_iProver_def),X0),c22),X1)) ),
    inference(light_normalisation,[status(thm)],[c_889001,c_289]) ).

cnf(c_889252,plain,
    ( ~ p21(f5(X0,X1),X2)
    | ~ p3(X2,X3)
    | ~ p3(X1,c23)
    | ~ p2(X0,c22)
    | p21(sP3_iProver_def,X3) ),
    inference(superposition,[status(thm)],[c_888714,c_306]) ).

cnf(c_889955,plain,
    ( ~ p21(f5(sP6_iProver_def,X0),X1)
    | p3(X0,f14(f16(f18(f20(c29,sP0_iProver_def),X0),c22),X1)) ),
    inference(superposition,[status(thm)],[c_889005,c_888679]) ).

cnf(c_891659,plain,
    ( ~ p3(f14(f16(f18(f20(c29,X0),X1),X2),X3),c23)
    | ~ p21(f5(f7(f10(c24,f12(c28,X0)),X2),X1),X3)
    | ~ p3(X3,X4)
    | ~ p2(X2,c22)
    | p21(sP3_iProver_def,X4) ),
    inference(superposition,[status(thm)],[c_293,c_889252]) ).

cnf(c_918289,plain,
    ( ~ p21(f5(sP6_iProver_def,X0),X1)
    | ~ p3(X0,X2)
    | p3(f14(f16(f18(f20(c29,sP0_iProver_def),X0),c22),X1),X2) ),
    inference(superposition,[status(thm)],[c_889955,c_312]) ).

cnf(c_1002418,plain,
    ( ~ p21(f5(f7(f10(c24,f12(c28,sP0_iProver_def)),c22),X0),X1)
    | ~ p21(f5(sP6_iProver_def,X0),X1)
    | ~ p3(X1,X2)
    | ~ p3(X0,c23)
    | ~ p2(c22,c22)
    | p21(sP3_iProver_def,X2) ),
    inference(superposition,[status(thm)],[c_918289,c_891659]) ).

cnf(c_1002507,plain,
    ( ~ p21(f5(sP6_iProver_def,X0),X1)
    | ~ p3(X1,X2)
    | ~ p3(X0,c23)
    | ~ p2(c22,c22)
    | p21(sP3_iProver_def,X2) ),
    inference(light_normalisation,[status(thm)],[c_1002418,c_287,c_288,c_289]) ).

cnf(c_1002508,plain,
    ( ~ p21(f5(sP6_iProver_def,X0),X1)
    | ~ p3(X1,X2)
    | ~ p3(X0,c23)
    | p21(sP3_iProver_def,X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1002507,c_322]) ).

cnf(c_1014879,plain,
    ( ~ p21(f5(sP2_iProver_def,c27),c27)
    | ~ p21(sP3_iProver_def,c27) ),
    inference(instantiation,[status(thm)],[c_294]) ).

cnf(c_1104885,plain,
    ( ~ p3(X0,X1)
    | ~ p21(sP7_iProver_def,X0)
    | ~ p3(c23,c23)
    | p21(sP3_iProver_def,X1) ),
    inference(superposition,[status(thm)],[c_290,c_1002508]) ).

cnf(c_1104886,plain,
    ( ~ p3(X0,X1)
    | ~ p21(sP7_iProver_def,X0)
    | p21(sP3_iProver_def,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1104885,c_323]) ).

cnf(c_1105240,plain,
    ( ~ p21(sP7_iProver_def,X0)
    | p21(sP3_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_323,c_1104886]) ).

cnf(c_1105931,plain,
    p21(sP3_iProver_def,c27),
    inference(superposition,[status(thm)],[c_305,c_1105240]) ).

cnf(c_1105941,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1105931,c_1014879,c_248729,c_115711,c_38491,c_5906,c_5125,c_4778,c_3786,c_285]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SYN632-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Sun Jun 23 23:02:09 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 244.24/32.32  % SZS status Started for theBenchmark.p
% 244.24/32.32  % SZS status Unsatisfiable for theBenchmark.p
% 244.24/32.32  
% 244.24/32.32  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 244.24/32.32  
% 244.24/32.32  ------  iProver source info
% 244.24/32.32  
% 244.24/32.32  git: date: 2024-06-12 09:56:46 +0000
% 244.24/32.32  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 244.24/32.32  git: non_committed_changes: false
% 244.24/32.32  
% 244.24/32.32  ------ Parsing...successful
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 244.24/32.32  
% 244.24/32.32  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 244.24/32.32  
% 244.24/32.32  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 244.24/32.32  ------ Proving...
% 244.24/32.32  ------ Problem Properties 
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  clauses                                 46
% 244.24/32.32  conjectures                             38
% 244.24/32.32  EPR                                     24
% 244.24/32.32  Horn                                    46
% 244.24/32.32  unary                                   20
% 244.24/32.32  binary                                  5
% 244.24/32.32  lits                                    94
% 244.24/32.32  lits eq                                 8
% 244.24/32.32  fd_pure                                 0
% 244.24/32.32  fd_pseudo                               0
% 244.24/32.32  fd_cond                                 0
% 244.24/32.32  fd_pseudo_cond                          0
% 244.24/32.32  AC symbols                              0
% 244.24/32.32  
% 244.24/32.32  ------ Schedule dynamic 5 is on 
% 244.24/32.32  
% 244.24/32.32  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  ------ 
% 244.24/32.32  Current options:
% 244.24/32.32  ------ 
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  ------ Proving...
% 244.24/32.32  Proof_search_loop: time out after: 10236 full_loop iterations
% 244.24/32.32  
% 244.24/32.32  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  ------ 
% 244.24/32.32  Current options:
% 244.24/32.32  ------ 
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  ------ Proving...
% 244.24/32.32  Proof_search_loop: time out after: 16861 full_loop iterations
% 244.24/32.32  
% 244.24/32.32  ------ Option_1: Negative Selections Time Limit: 35.
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  ------ 
% 244.24/32.32  Current options:
% 244.24/32.32  ------ 
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  ------ Proving...
% 244.24/32.32  
% 244.24/32.32  
% 244.24/32.32  % SZS status Unsatisfiable for theBenchmark.p
% 244.24/32.32  
% 244.24/32.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 244.24/32.32  
% 244.24/32.34  
%------------------------------------------------------------------------------