TSTP Solution File: SYN214-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 03:29:40 EDT 2024

% Result   : Unsatisfiable 8.03s 1.64s
% Output   : CNFRefutation 8.03s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(c_63,plain,
    p0(b,X0) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

cnf(c_68,plain,
    m0(X0,d,X1) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

cnf(c_79,plain,
    n0(e,e) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

cnf(c_101,plain,
    ifeq(m0(X0,X1,X2),true,m1(X2,X2,X2),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_014) ).

cnf(c_170,plain,
    ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).

cnf(c_221,plain,
    ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).

cnf(c_234,plain,
    ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).

cnf(c_265,plain,
    ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).

cnf(c_322,plain,
    ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).

cnf(c_326,plain,
    ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).

cnf(c_337,plain,
    ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).

cnf(c_358,plain,
    ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).

cnf(c_378,plain,
    ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).

cnf(c_409,plain,
    ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_329) ).

cnf(c_411,negated_conjecture,
    s5(c) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_2265,plain,
    s5(c) = sP0_iProver_def,
    definition ).

cnf(c_2266,negated_conjecture,
    sP0_iProver_def != true,
    inference(demodulation,[status(thm)],[c_411,c_2265]) ).

cnf(c_2267,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_2268,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_2359,plain,
    true = true,
    inference(instantiation,[status(thm)],[c_2267]) ).

cnf(c_3747,plain,
    ifeq(true,true,p1(X0,X0,X0),true) = true,
    inference(superposition,[status(thm)],[c_63,c_170]) ).

cnf(c_3917,plain,
    p1(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_3747,c_49]) ).

cnf(c_3931,plain,
    ifeq(true,true,n2(X0),true) = true,
    inference(superposition,[status(thm)],[c_3917,c_221]) ).

cnf(c_3953,plain,
    ifeq(true,true,m1(X0,X0,X0),true) = true,
    inference(superposition,[status(thm)],[c_68,c_101]) ).

cnf(c_3980,plain,
    n2(X0) = true,
    inference(demodulation,[status(thm)],[c_3931,c_49]) ).

cnf(c_3981,plain,
    ifeq(true,true,p3(X0,X0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_326,c_3980]) ).

cnf(c_4094,plain,
    m1(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_3953,c_49]) ).

cnf(c_4124,plain,
    ifeq(true,true,p2(X0,X0,X0),true) = true,
    inference(superposition,[status(thm)],[c_4094,c_234]) ).

cnf(c_4144,plain,
    p3(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_3981,c_49]) ).

cnf(c_4152,plain,
    ifeq(true,true,l4(X0),true) = true,
    inference(superposition,[status(thm)],[c_4144,c_358]) ).

cnf(c_4159,plain,
    l4(X0) = true,
    inference(demodulation,[status(thm)],[c_4152,c_49]) ).

cnf(c_4241,plain,
    ifeq(true,true,q2(X0,X0,X0),true) = true,
    inference(light_normalisation,[status(thm)],[c_265,c_3917]) ).

cnf(c_4242,plain,
    q2(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_4241,c_49]) ).

cnf(c_4292,plain,
    p2(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_4124,c_49]) ).

cnf(c_4307,plain,
    ifeq(true,true,n3(X0),true) = true,
    inference(superposition,[status(thm)],[c_4292,c_322]) ).

cnf(c_4318,plain,
    n3(X0) = true,
    inference(demodulation,[status(thm)],[c_4307,c_49]) ).

cnf(c_4393,plain,
    ifeq(r4(X0),true,s5(X1),true) = true,
    inference(demodulation,[status(thm)],[c_409,c_49,c_4159]) ).

cnf(c_4394,plain,
    ifeq(r4(X0),true,sP0_iProver_def,true) = true,
    inference(superposition,[status(thm)],[c_2265,c_4393]) ).

cnf(c_5383,plain,
    ( true != X0
    | sP0_iProver_def != X0
    | sP0_iProver_def = true ),
    inference(instantiation,[status(thm)],[c_2268]) ).

cnf(c_5404,plain,
    sP0_iProver_def = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_2267]) ).

cnf(c_5405,plain,
    ( X0 != X1
    | sP0_iProver_def != X1
    | sP0_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_2268]) ).

cnf(c_5415,plain,
    ( X0 != sP0_iProver_def
    | sP0_iProver_def != sP0_iProver_def
    | sP0_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_5405]) ).

cnf(c_5426,plain,
    ( ifeq(X0,X0,sP0_iProver_def,X1) != sP0_iProver_def
    | sP0_iProver_def != sP0_iProver_def
    | sP0_iProver_def = ifeq(X0,X0,sP0_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_5415]) ).

cnf(c_5427,plain,
    ifeq(X0,X0,sP0_iProver_def,X1) = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_5428,plain,
    ( ifeq(true,true,sP0_iProver_def,true) != sP0_iProver_def
    | sP0_iProver_def != sP0_iProver_def
    | sP0_iProver_def = ifeq(true,true,sP0_iProver_def,true) ),
    inference(instantiation,[status(thm)],[c_5426]) ).

cnf(c_5429,plain,
    ifeq(true,true,sP0_iProver_def,true) = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_5427]) ).

cnf(c_5519,plain,
    ( true != ifeq(X0,X0,sP0_iProver_def,X1)
    | sP0_iProver_def != ifeq(X0,X0,sP0_iProver_def,X1)
    | sP0_iProver_def = true ),
    inference(instantiation,[status(thm)],[c_5383]) ).

cnf(c_5520,plain,
    ( true != ifeq(true,true,sP0_iProver_def,true)
    | sP0_iProver_def != ifeq(true,true,sP0_iProver_def,true)
    | sP0_iProver_def = true ),
    inference(instantiation,[status(thm)],[c_5519]) ).

cnf(c_5690,plain,
    ( ifeq(X0,X0,sP0_iProver_def,X1) != X2
    | true != X2
    | true = ifeq(X0,X0,sP0_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_2268]) ).

cnf(c_5691,plain,
    ( ifeq(true,true,sP0_iProver_def,true) != true
    | true != true
    | true = ifeq(true,true,sP0_iProver_def,true) ),
    inference(instantiation,[status(thm)],[c_5690]) ).

cnf(c_5912,plain,
    ifeq(true,true,ifeq(n0(X0,X0),true,q3(X0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_4242,c_337]) ).

cnf(c_7045,plain,
    ifeq(n0(X0,X0),true,q3(X0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_5912,c_49]) ).

cnf(c_7046,plain,
    ifeq(true,true,q3(e,e),true) = true,
    inference(superposition,[status(thm)],[c_79,c_7045]) ).

cnf(c_7049,plain,
    q3(e,e) = true,
    inference(demodulation,[status(thm)],[c_7046,c_49]) ).

cnf(c_7209,plain,
    ifeq(q3(X0,X1),true,ifeq(p0(X2,X3),true,r4(X3),true),true) = true,
    inference(demodulation,[status(thm)],[c_378,c_49,c_4318]) ).

cnf(c_7210,plain,
    ifeq(true,true,ifeq(p0(X0,X1),true,r4(X1),true),true) = true,
    inference(superposition,[status(thm)],[c_7049,c_7209]) ).

cnf(c_7245,plain,
    ifeq(p0(X0,X1),true,r4(X1),true) = true,
    inference(demodulation,[status(thm)],[c_7210,c_49]) ).

cnf(c_7247,plain,
    ifeq(true,true,r4(X0),true) = true,
    inference(superposition,[status(thm)],[c_63,c_7245]) ).

cnf(c_7250,plain,
    r4(X0) = true,
    inference(demodulation,[status(thm)],[c_7247,c_49]) ).

cnf(c_7251,plain,
    ifeq(true,true,sP0_iProver_def,true) = true,
    inference(demodulation,[status(thm)],[c_4394,c_7250]) ).

cnf(c_7256,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7251,c_5691,c_5520,c_5429,c_5428,c_5404,c_2266,c_2359]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 20:51:26 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running UEQ theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.03/1.64  % SZS status Started for theBenchmark.p
% 8.03/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.64  
% 8.03/1.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.03/1.64  
% 8.03/1.64  ------  iProver source info
% 8.03/1.64  
% 8.03/1.64  git: date: 2024-05-02 19:28:25 +0000
% 8.03/1.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.03/1.64  git: non_committed_changes: false
% 8.03/1.64  
% 8.03/1.64  ------ Parsing...successful
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  ------ Preprocessing... sup_sim: 51  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.03/1.64  
% 8.03/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.03/1.64  
% 8.03/1.64  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 8.03/1.64  ------ Proving...
% 8.03/1.64  ------ Problem Properties 
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  clauses                                 345
% 8.03/1.64  conjectures                             1
% 8.03/1.64  EPR                                     1
% 8.03/1.64  Horn                                    345
% 8.03/1.64  unary                                   345
% 8.03/1.64  binary                                  0
% 8.03/1.64  lits                                    345
% 8.03/1.64  lits eq                                 345
% 8.03/1.64  fd_pure                                 0
% 8.03/1.64  fd_pseudo                               0
% 8.03/1.64  fd_cond                                 0
% 8.03/1.64  fd_pseudo_cond                          0
% 8.03/1.64  AC symbols                              0
% 8.03/1.64  
% 8.03/1.64  ------ Input Options Time Limit: Unbounded
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  ------ 
% 8.03/1.64  Current options:
% 8.03/1.64  ------ 
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  ------ Proving...
% 8.03/1.64  
% 8.03/1.64  
% 8.03/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.64  
% 8.03/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.03/1.64  
% 8.03/1.65  
%------------------------------------------------------------------------------