TSTP Solution File: SYN563-10 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 03:31:34 EDT 2024

% Result   : Unsatisfiable 8.16s 1.65s
% Output   : CNFRefutation 8.16s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(c_50,plain,
    ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(c_51,negated_conjecture,
    p2(X0,X0) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

cnf(c_52,negated_conjecture,
    p6(X0,X0) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).

cnf(c_53,negated_conjecture,
    p2(f4(c7),f4(c8)) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

cnf(c_55,negated_conjecture,
    p5(f3(f3(X0)),f3(f4(X0))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_7) ).

cnf(c_57,negated_conjecture,
    ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).

cnf(c_58,negated_conjecture,
    ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_10) ).

cnf(c_59,negated_conjecture,
    ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).

cnf(c_63,negated_conjecture,
    ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_15) ).

cnf(c_64,negated_conjecture,
    ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_16) ).

cnf(c_66,negated_conjecture,
    ifeq(p6(f4(c7),c8),true,a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_3) ).

cnf(c_67,negated_conjecture,
    ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_5) ).

cnf(c_68,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_134,plain,
    f4(c7) = sP0_iProver_def,
    definition ).

cnf(c_135,plain,
    f4(c8) = sP1_iProver_def,
    definition ).

cnf(c_136,plain,
    f3(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_137,plain,
    p6(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_138,plain,
    ifeq(sP3_iProver_def,true,a,b) = sP4_iProver_def,
    definition ).

cnf(c_139,plain,
    p6(sP0_iProver_def,c8) = sP5_iProver_def,
    definition ).

cnf(c_140,plain,
    ifeq(sP5_iProver_def,true,a,b) = sP6_iProver_def,
    definition ).

cnf(c_141,plain,
    p2(sP0_iProver_def,sP1_iProver_def) = sP7_iProver_def,
    definition ).

cnf(c_142,negated_conjecture,
    a != b,
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_143,negated_conjecture,
    sP4_iProver_def = b,
    inference(demodulation,[status(thm)],[c_67,c_135,c_136,c_134,c_137,c_138]) ).

cnf(c_144,negated_conjecture,
    sP6_iProver_def = b,
    inference(demodulation,[status(thm)],[c_66,c_139,c_140]) ).

cnf(c_146,negated_conjecture,
    ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true) = true,
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_147,negated_conjecture,
    ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true) = true,
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_151,negated_conjecture,
    ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true) = true,
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_152,negated_conjecture,
    ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true) = true,
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_153,negated_conjecture,
    ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true) = true,
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_155,negated_conjecture,
    p5(f3(f3(X0)),f3(f4(X0))) = true,
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_157,negated_conjecture,
    sP7_iProver_def = true,
    inference(demodulation,[status(thm)],[c_53,c_141]) ).

cnf(c_158,negated_conjecture,
    p6(X0,X0) = true,
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_159,negated_conjecture,
    p2(X0,X0) = true,
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_5956,plain,
    ifeq2(sP7_iProver_def,true,p2(f3(sP0_iProver_def),f3(sP1_iProver_def)),true) = true,
    inference(superposition,[status(thm)],[c_141,c_151]) ).

cnf(c_5984,plain,
    ifeq2(p2(X0,X1),true,ifeq2(true,true,ifeq2(p6(X2,X0),true,p6(X2,X1),true),true),true) = true,
    inference(superposition,[status(thm)],[c_159,c_146]) ).

cnf(c_5989,plain,
    ifeq2(p6(X0,f3(f3(X1))),true,ifeq2(true,true,p5(X0,f3(f4(X1))),true),true) = true,
    inference(superposition,[status(thm)],[c_155,c_147]) ).

cnf(c_6002,plain,
    ifeq2(p5(c7,X0),true,p6(sP0_iProver_def,X0),true) = true,
    inference(superposition,[status(thm)],[c_134,c_152]) ).

cnf(c_6005,plain,
    ifeq2(true,true,p6(c7,f3(c7)),true) = true,
    inference(superposition,[status(thm)],[c_158,c_153]) ).

cnf(c_6008,plain,
    ifeq2(p6(c7,X0),sP7_iProver_def,p6(c7,f3(X0)),sP7_iProver_def) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_157,c_153]) ).

cnf(c_6036,plain,
    p6(c7,f3(c7)) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_6005,c_49,c_157]) ).

cnf(c_6042,plain,
    ifeq2(p5(c7,X0),sP7_iProver_def,p6(sP0_iProver_def,X0),sP7_iProver_def) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_6002,c_157]) ).

cnf(c_6044,plain,
    p2(f3(sP0_iProver_def),sP2_iProver_def) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_5956,c_49,c_136,c_157]) ).

cnf(c_6076,plain,
    ifeq2(p6(X0,f3(f3(X1))),sP7_iProver_def,p5(X0,f3(f4(X1))),sP7_iProver_def) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_5989,c_49,c_157]) ).

cnf(c_6078,plain,
    ifeq2(p2(X0,X1),sP7_iProver_def,ifeq2(p6(X2,X0),sP7_iProver_def,p6(X2,X1),sP7_iProver_def),sP7_iProver_def) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_5984,c_49,c_157]) ).

cnf(c_6203,plain,
    ifeq2(sP7_iProver_def,sP7_iProver_def,p6(c7,f3(f3(c7))),sP7_iProver_def) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_6036,c_6008]) ).

cnf(c_6500,plain,
    ifeq2(p2(X0,sP2_iProver_def),sP7_iProver_def,ifeq2(p6(sP0_iProver_def,X0),sP7_iProver_def,sP3_iProver_def,sP7_iProver_def),sP7_iProver_def) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_137,c_6078]) ).

cnf(c_6633,plain,
    p6(c7,f3(f3(c7))) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_6203,c_49]) ).

cnf(c_7361,plain,
    ifeq2(sP7_iProver_def,sP7_iProver_def,p5(c7,f3(f4(c7))),sP7_iProver_def) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_6633,c_6076]) ).

cnf(c_7370,plain,
    p5(c7,f3(sP0_iProver_def)) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_7361,c_49,c_134]) ).

cnf(c_7828,plain,
    ifeq2(sP7_iProver_def,sP7_iProver_def,p6(sP0_iProver_def,f3(sP0_iProver_def)),sP7_iProver_def) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_7370,c_6042]) ).

cnf(c_8236,plain,
    p6(sP0_iProver_def,f3(sP0_iProver_def)) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_7828,c_49]) ).

cnf(c_9438,plain,
    ifeq2(p2(f3(sP0_iProver_def),sP2_iProver_def),sP7_iProver_def,ifeq2(sP7_iProver_def,sP7_iProver_def,sP3_iProver_def,sP7_iProver_def),sP7_iProver_def) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_8236,c_6500]) ).

cnf(c_9924,plain,
    sP3_iProver_def = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_9438,c_49,c_6044]) ).

cnf(c_10603,plain,
    sP4_iProver_def = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_143,c_144]) ).

cnf(c_10605,plain,
    a != sP6_iProver_def,
    inference(superposition,[status(thm)],[c_144,c_142]) ).

cnf(c_10645,plain,
    ifeq(sP3_iProver_def,sP7_iProver_def,a,b) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_157,c_138]) ).

cnf(c_10694,plain,
    a != sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_10605,c_10603]) ).

cnf(c_10695,plain,
    a = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_10645,c_50,c_144,c_9924]) ).

cnf(c_10696,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_10694,c_10695]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:18:16 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running UEQ theorem proving
% 0.21/0.47  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
% 8.16/1.65  % SZS status Started for theBenchmark.p
% 8.16/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 8.16/1.65  
% 8.16/1.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.16/1.65  
% 8.16/1.65  ------  iProver source info
% 8.16/1.65  
% 8.16/1.65  git: date: 2024-05-02 19:28:25 +0000
% 8.16/1.65  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.16/1.65  git: non_committed_changes: false
% 8.16/1.65  
% 8.16/1.65  ------ Parsing...successful
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.16/1.65  
% 8.16/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.16/1.65  
% 8.16/1.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 8.16/1.65  ------ Proving...
% 8.16/1.65  ------ Problem Properties 
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  clauses                                 28
% 8.16/1.65  conjectures                             18
% 8.16/1.65  EPR                                     4
% 8.16/1.65  Horn                                    28
% 8.16/1.65  unary                                   28
% 8.16/1.65  binary                                  0
% 8.16/1.65  lits                                    28
% 8.16/1.65  lits eq                                 28
% 8.16/1.65  fd_pure                                 0
% 8.16/1.65  fd_pseudo                               0
% 8.16/1.65  fd_cond                                 0
% 8.16/1.65  fd_pseudo_cond                          0
% 8.16/1.65  AC symbols                              0
% 8.16/1.65  
% 8.16/1.65  ------ Input Options Time Limit: Unbounded
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  ------ 
% 8.16/1.65  Current options:
% 8.16/1.65  ------ 
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  ------ Proving...
% 8.16/1.65  
% 8.16/1.65  
% 8.16/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 8.16/1.65  
% 8.16/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.16/1.65  
% 8.16/1.66  
%------------------------------------------------------------------------------