TSTP Solution File: SYN193-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN193-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 03:29:34 EDT 2024

% Result   : Unsatisfiable 7.78s 1.67s
% Output   : CNFRefutation 7.78s
% 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/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(c_63,plain,
    p0(b,X0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

cnf(c_67,plain,
    p0(c,b) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

cnf(c_68,plain,
    m0(X0,d,X1) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

cnf(c_79,plain,
    n0(e,e) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

cnf(c_101,plain,
    ifeq(m0(X0,X1,X2),true,m1(X2,X2,X2),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_014) ).

cnf(c_170,plain,
    ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).

cnf(c_234,plain,
    ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).

cnf(c_265,plain,
    ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).

cnf(c_322,plain,
    ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).

cnf(c_337,plain,
    ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).

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/sandbox2/benchmark/theBenchmark.p',rule_298) ).

cnf(c_411,negated_conjecture,
    r4(b) != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_2263,plain,
    r4(b) = sP0_iProver_def,
    definition ).

cnf(c_2264,negated_conjecture,
    sP0_iProver_def != true,
    inference(demodulation,[status(thm)],[c_411,c_2263]) ).

cnf(c_2265,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_2266,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_2355,plain,
    true = true,
    inference(instantiation,[status(thm)],[c_2265]) ).

cnf(c_3732,plain,
    ifeq(true,true,p1(X0,X0,X0),true) = true,
    inference(superposition,[status(thm)],[c_63,c_170]) ).

cnf(c_3945,plain,
    ifeq(true,true,m1(X0,X0,X0),true) = true,
    inference(superposition,[status(thm)],[c_68,c_101]) ).

cnf(c_3974,plain,
    p1(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_3732,c_49]) ).

cnf(c_4121,plain,
    m1(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_3945,c_49]) ).

cnf(c_4148,plain,
    ifeq(true,true,p2(X0,X0,X0),true) = true,
    inference(superposition,[status(thm)],[c_4121,c_234]) ).

cnf(c_4264,plain,
    ifeq(true,true,q2(X0,X0,X0),true) = true,
    inference(light_normalisation,[status(thm)],[c_265,c_3974]) ).

cnf(c_4265,plain,
    q2(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_4264,c_49]) ).

cnf(c_4315,plain,
    p2(X0,X0,X0) = true,
    inference(demodulation,[status(thm)],[c_4148,c_49]) ).

cnf(c_4330,plain,
    ifeq(true,true,n3(X0),true) = true,
    inference(superposition,[status(thm)],[c_4315,c_322]) ).

cnf(c_4341,plain,
    n3(X0) = true,
    inference(demodulation,[status(thm)],[c_4330,c_49]) ).

cnf(c_5533,plain,
    ( true != X0
    | sP0_iProver_def != X0
    | sP0_iProver_def = true ),
    inference(instantiation,[status(thm)],[c_2266]) ).

cnf(c_5554,plain,
    sP0_iProver_def = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_2265]) ).

cnf(c_5555,plain,
    ( X0 != X1
    | sP0_iProver_def != X1
    | sP0_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_2266]) ).

cnf(c_5628,plain,
    ( X0 != sP0_iProver_def
    | sP0_iProver_def != sP0_iProver_def
    | sP0_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_5555]) ).

cnf(c_5632,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_5628]) ).

cnf(c_5633,plain,
    ifeq(X0,X0,sP0_iProver_def,X1) = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_5634,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_5632]) ).

cnf(c_5635,plain,
    ifeq(true,true,sP0_iProver_def,true) = sP0_iProver_def,
    inference(instantiation,[status(thm)],[c_5633]) ).

cnf(c_5844,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_5533]) ).

cnf(c_5845,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_5844]) ).

cnf(c_5868,plain,
    ( ifeq(X0,X0,sP0_iProver_def,X1) != X2
    | true != X2
    | true = ifeq(X0,X0,sP0_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_2266]) ).

cnf(c_5869,plain,
    ( ifeq(true,true,sP0_iProver_def,true) != true
    | true != true
    | true = ifeq(true,true,sP0_iProver_def,true) ),
    inference(instantiation,[status(thm)],[c_5868]) ).

cnf(c_5900,plain,
    ifeq(true,true,ifeq(n0(X0,X0),true,q3(X0,X0),true),true) = true,
    inference(superposition,[status(thm)],[c_4265,c_337]) ).

cnf(c_6961,plain,
    ifeq(n0(X0,X0),true,q3(X0,X0),true) = true,
    inference(demodulation,[status(thm)],[c_5900,c_49]) ).

cnf(c_6962,plain,
    ifeq(true,true,q3(e,e),true) = true,
    inference(superposition,[status(thm)],[c_79,c_6961]) ).

cnf(c_7067,plain,
    q3(e,e) = true,
    inference(demodulation,[status(thm)],[c_6962,c_49]) ).

cnf(c_7251,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_4341]) ).

cnf(c_7255,plain,
    ifeq(q3(X0,X1),true,ifeq(true,true,r4(b),true),true) = true,
    inference(superposition,[status(thm)],[c_67,c_7251]) ).

cnf(c_7257,plain,
    ifeq(q3(X0,X1),true,ifeq(true,true,sP0_iProver_def,true),true) = true,
    inference(light_normalisation,[status(thm)],[c_7255,c_2263]) ).

cnf(c_7330,plain,
    ifeq(q3(X0,X1),true,sP0_iProver_def,true) = true,
    inference(demodulation,[status(thm)],[c_7257,c_49]) ).

cnf(c_7331,plain,
    ifeq(true,true,sP0_iProver_def,true) = true,
    inference(superposition,[status(thm)],[c_7067,c_7330]) ).

cnf(c_7333,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_7331,c_5869,c_5845,c_5635,c_5634,c_5554,c_2264,c_2355]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN193-10 : TPTP v8.1.2. Released v7.3.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n008.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 20:48:27 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.78/1.67  % SZS status Started for theBenchmark.p
% 7.78/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.78/1.67  
% 7.78/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.78/1.67  
% 7.78/1.67  ------  iProver source info
% 7.78/1.67  
% 7.78/1.67  git: date: 2024-05-02 19:28:25 +0000
% 7.78/1.67  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.78/1.67  git: non_committed_changes: false
% 7.78/1.67  
% 7.78/1.67  ------ Parsing...successful
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  ------ 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 
% 7.78/1.67  
% 7.78/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.78/1.67  
% 7.78/1.67  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.78/1.67  ------ Proving...
% 7.78/1.67  ------ Problem Properties 
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  clauses                                 345
% 7.78/1.67  conjectures                             1
% 7.78/1.67  EPR                                     1
% 7.78/1.67  Horn                                    345
% 7.78/1.67  unary                                   345
% 7.78/1.67  binary                                  0
% 7.78/1.67  lits                                    345
% 7.78/1.67  lits eq                                 345
% 7.78/1.67  fd_pure                                 0
% 7.78/1.67  fd_pseudo                               0
% 7.78/1.67  fd_cond                                 0
% 7.78/1.67  fd_pseudo_cond                          0
% 7.78/1.67  AC symbols                              0
% 7.78/1.67  
% 7.78/1.67  ------ Input Options Time Limit: Unbounded
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  ------ 
% 7.78/1.67  Current options:
% 7.78/1.67  ------ 
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  ------ Proving...
% 7.78/1.67  
% 7.78/1.67  
% 7.78/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.78/1.67  
% 7.78/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.78/1.67  
% 7.78/1.67  
%------------------------------------------------------------------------------