TSTP Solution File: SYN563-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 2.45s 1.17s
% Output   : CNFRefutation 2.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

cnf(c_50,negated_conjecture,
    p6(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).

cnf(c_52,negated_conjecture,
    p2(f4(c7),f4(c8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

cnf(c_53,negated_conjecture,
    ~ p6(f4(c7),f3(f4(c8))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_5) ).

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

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

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

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

cnf(c_60,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f4(X0),f4(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

cnf(c_61,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).

cnf(c_62,negated_conjecture,
    ( ~ p6(X0,X1)
    | ~ p6(X1,X2)
    | p6(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_14) ).

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

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

cnf(c_66,plain,
    p6(c7,c7),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_67,plain,
    p2(c7,c7),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_68,plain,
    p5(f3(f3(c7)),f3(f4(c7))),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_70,plain,
    ( ~ p6(c7,c7)
    | p6(c7,f3(c7)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_194,plain,
    f4(c7) = sP0_iProver_def,
    definition ).

cnf(c_195,plain,
    f4(c8) = sP1_iProver_def,
    definition ).

cnf(c_196,plain,
    f3(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_198,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p6(X0,X2)
    | p6(X1,X3) ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_199,negated_conjecture,
    ( ~ p6(X0,X1)
    | ~ p5(X1,X2)
    | p5(X0,X2) ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_200,negated_conjecture,
    ( ~ p6(X0,X1)
    | ~ p6(X1,X2)
    | p6(X0,X2) ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_201,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_202,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f4(X0),f4(X1)) ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_203,negated_conjecture,
    ( ~ p2(X0,X1)
    | p2(f3(X0),f3(X1)) ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_204,negated_conjecture,
    ( ~ p5(X0,X1)
    | p6(f4(X0),X1) ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_205,negated_conjecture,
    ( ~ p6(c7,X0)
    | p6(c7,f3(X0)) ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_209,negated_conjecture,
    ~ p6(sP0_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_53,c_195,c_196,c_194]) ).

cnf(c_210,negated_conjecture,
    p2(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_212,negated_conjecture,
    p6(X0,X0),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_213,negated_conjecture,
    p2(X0,X0),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_657,plain,
    ( ~ p2(c7,X0)
    | p2(sP0_iProver_def,f4(X0)) ),
    inference(superposition,[status(thm)],[c_194,c_202]) ).

cnf(c_678,plain,
    ( ~ p2(X0,sP1_iProver_def)
    | p2(f3(X0),sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_196,c_203]) ).

cnf(c_753,plain,
    ( ~ p2(f3(X0),X1)
    | ~ p2(X0,X2)
    | p2(f3(X2),X1) ),
    inference(superposition,[status(thm)],[c_203,c_201]) ).

cnf(c_754,plain,
    ( ~ p2(f4(X0),X1)
    | ~ p2(X0,X2)
    | p2(f4(X2),X1) ),
    inference(superposition,[status(thm)],[c_202,c_201]) ).

cnf(c_755,plain,
    ( ~ p2(sP0_iProver_def,X0)
    | p2(sP1_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_210,c_201]) ).

cnf(c_796,plain,
    ( ~ p5(f3(f3(X0)),f3(f4(X0)))
    | ~ p6(X1,f3(f3(X0)))
    | p5(X1,f3(f4(X0))) ),
    inference(instantiation,[status(thm)],[c_199]) ).

cnf(c_797,plain,
    ( ~ p5(f3(f3(c7)),f3(f4(c7)))
    | ~ p6(c7,f3(f3(c7)))
    | p5(c7,f3(f4(c7))) ),
    inference(instantiation,[status(thm)],[c_796]) ).

cnf(c_809,plain,
    ( ~ p2(X0,X1)
    | ~ p6(sP0_iProver_def,X0)
    | p6(sP1_iProver_def,X1) ),
    inference(superposition,[status(thm)],[c_210,c_198]) ).

cnf(c_1112,plain,
    p2(sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_213,c_755]) ).

cnf(c_1114,plain,
    ( ~ p2(c7,X0)
    | p2(sP1_iProver_def,f4(X0)) ),
    inference(superposition,[status(thm)],[c_657,c_755]) ).

cnf(c_1124,plain,
    ( ~ p6(c7,f3(X0))
    | p6(c7,f3(f3(X0))) ),
    inference(instantiation,[status(thm)],[c_205]) ).

cnf(c_1125,plain,
    ( ~ p6(c7,f3(c7))
    | p6(c7,f3(f3(c7))) ),
    inference(instantiation,[status(thm)],[c_1124]) ).

cnf(c_1131,plain,
    ( ~ p2(X0,X1)
    | ~ p6(sP1_iProver_def,X0)
    | p6(sP0_iProver_def,X1) ),
    inference(superposition,[status(thm)],[c_1112,c_198]) ).

cnf(c_1464,plain,
    ( ~ p2(X0,X1)
    | ~ p2(X0,sP1_iProver_def)
    | p2(f3(X1),sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_678,c_753]) ).

cnf(c_1636,plain,
    ( ~ p5(X0,f3(f4(X1)))
    | p6(f4(X0),f3(f4(X1))) ),
    inference(instantiation,[status(thm)],[c_204]) ).

cnf(c_1637,plain,
    ( ~ p5(c7,f3(f4(c7)))
    | p6(f4(c7),f3(f4(c7))) ),
    inference(instantiation,[status(thm)],[c_1636]) ).

cnf(c_1696,plain,
    ( ~ p2(X0,X1)
    | p2(f4(X1),f4(X0)) ),
    inference(superposition,[status(thm)],[c_213,c_754]) ).

cnf(c_1946,plain,
    ( ~ p2(X0,c7)
    | p2(sP0_iProver_def,f4(X0)) ),
    inference(superposition,[status(thm)],[c_194,c_1696]) ).

cnf(c_2497,plain,
    ( ~ p6(X0,X1)
    | ~ p6(sP1_iProver_def,X0)
    | p6(sP1_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_200]) ).

cnf(c_4262,plain,
    ( ~ p2(X0,c7)
    | ~ p6(sP0_iProver_def,sP0_iProver_def)
    | p6(sP1_iProver_def,f4(X0)) ),
    inference(superposition,[status(thm)],[c_1946,c_809]) ).

cnf(c_4299,plain,
    ( ~ p2(X0,c7)
    | p6(sP1_iProver_def,f4(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4262,c_212]) ).

cnf(c_4315,plain,
    ( ~ p2(c7,c7)
    | p6(sP1_iProver_def,f4(c7)) ),
    inference(instantiation,[status(thm)],[c_4299]) ).

cnf(c_6887,plain,
    ( ~ p6(f4(X0),X1)
    | ~ p6(sP1_iProver_def,f4(X0))
    | p6(sP1_iProver_def,X1) ),
    inference(instantiation,[status(thm)],[c_2497]) ).

cnf(c_12782,plain,
    ( ~ p2(c7,X0)
    | ~ p2(sP1_iProver_def,sP1_iProver_def)
    | p2(f3(f4(X0)),sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_1114,c_1464]) ).

cnf(c_12826,plain,
    ( ~ p2(c7,X0)
    | p2(f3(f4(X0)),sP2_iProver_def) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12782,c_213]) ).

cnf(c_13054,plain,
    ( ~ p6(f4(X0),f3(f4(X1)))
    | ~ p6(sP1_iProver_def,f4(X0))
    | p6(sP1_iProver_def,f3(f4(X1))) ),
    inference(instantiation,[status(thm)],[c_6887]) ).

cnf(c_13055,plain,
    ( ~ p6(f4(c7),f3(f4(c7)))
    | ~ p6(sP1_iProver_def,f4(c7))
    | p6(sP1_iProver_def,f3(f4(c7))) ),
    inference(instantiation,[status(thm)],[c_13054]) ).

cnf(c_14333,plain,
    ( ~ p6(sP1_iProver_def,f3(f4(X0)))
    | ~ p2(c7,X0)
    | p6(sP0_iProver_def,sP2_iProver_def) ),
    inference(superposition,[status(thm)],[c_12826,c_1131]) ).

cnf(c_14364,plain,
    ( ~ p6(sP1_iProver_def,f3(f4(X0)))
    | ~ p2(c7,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14333,c_209]) ).

cnf(c_14396,plain,
    ( ~ p6(sP1_iProver_def,f3(f4(c7)))
    | ~ p2(c7,c7) ),
    inference(instantiation,[status(thm)],[c_14364]) ).

cnf(c_14397,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14396,c_13055,c_4315,c_1637,c_1125,c_797,c_70,c_68,c_67,c_66]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n018.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
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 21:01:31 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 2.45/1.17  % SZS status Started for theBenchmark.p
% 2.45/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.45/1.17  
% 2.45/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.45/1.17  
% 2.45/1.17  ------  iProver source info
% 2.45/1.17  
% 2.45/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.45/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.45/1.17  git: non_committed_changes: false
% 2.45/1.17  
% 2.45/1.17  ------ Parsing...successful
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.45/1.17  
% 2.45/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.45/1.17  
% 2.45/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.45/1.17  ------ Proving...
% 2.45/1.17  ------ Problem Properties 
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  clauses                                 20
% 2.45/1.17  conjectures                             17
% 2.45/1.17  EPR                                     11
% 2.45/1.17  Horn                                    20
% 2.45/1.17  unary                                   9
% 2.45/1.17  binary                                  6
% 2.45/1.17  lits                                    38
% 2.45/1.17  lits eq                                 3
% 2.45/1.17  fd_pure                                 0
% 2.45/1.17  fd_pseudo                               0
% 2.45/1.17  fd_cond                                 0
% 2.45/1.17  fd_pseudo_cond                          0
% 2.45/1.17  AC symbols                              0
% 2.45/1.17  
% 2.45/1.17  ------ Schedule dynamic 5 is on 
% 2.45/1.17  
% 2.45/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  ------ 
% 2.45/1.17  Current options:
% 2.45/1.17  ------ 
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  ------ Proving...
% 2.45/1.17  
% 2.45/1.17  
% 2.45/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.45/1.17  
% 2.45/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.45/1.17  
% 2.45/1.17  
%------------------------------------------------------------------------------