TSTP Solution File: REL023-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% 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 02:56:41 EDT 2024

% Result   : Unsatisfiable 0.42s 1.12s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   46 (  46 unt;   0 nHn;   7 RR)
%            Number of literals    :   46 (  45 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   61 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

cnf(c_50,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

cnf(c_51,plain,
    join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).

cnf(c_52,plain,
    join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).

cnf(c_53,plain,
    complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).

cnf(c_54,plain,
    composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).

cnf(c_55,plain,
    composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

cnf(c_56,plain,
    join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).

cnf(c_57,plain,
    converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(c_59,plain,
    composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

cnf(c_60,plain,
    join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).

cnf(c_61,plain,
    join(X0,complement(X0)) = top,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).

cnf(c_62,plain,
    meet(X0,complement(X0)) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).

cnf(c_76,negated_conjecture,
    join(composition(sk1,meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
    inference(theory_normalisation,[status(thm)],[c_49,c_51,c_50]) ).

cnf(c_77,plain,
    join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_52,c_51,c_50]) ).

cnf(c_78,plain,
    join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_60,c_51,c_50]) ).

cnf(c_109,plain,
    join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_77,c_53]) ).

cnf(c_110,plain,
    join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_109,c_51,c_50]) ).

cnf(c_111,plain,
    composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
    inference(demodulation,[status(thm)],[c_76,c_56]) ).

cnf(c_199,plain,
    meet(X0,complement(X0)) = complement(top),
    inference(superposition,[status(thm)],[c_61,c_53]) ).

cnf(c_206,plain,
    complement(top) = zero,
    inference(light_normalisation,[status(thm)],[c_199,c_62]) ).

cnf(c_228,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_57,c_59]) ).

cnf(c_241,plain,
    composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_55,c_54]) ).

cnf(c_299,plain,
    join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(superposition,[status(thm)],[c_62,c_110]) ).

cnf(c_303,plain,
    join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_53,c_110]) ).

cnf(c_306,plain,
    join(meet(X0,complement(complement(X0))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_61,c_110]) ).

cnf(c_315,plain,
    join(complement(top),meet(X0,complement(complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_306,c_51,c_50]) ).

cnf(c_316,plain,
    join(zero,meet(X0,complement(complement(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_315,c_206]) ).

cnf(c_317,plain,
    join(meet(X0,X1),meet(X0,complement(X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_303,c_51,c_50]) ).

cnf(c_581,plain,
    composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_55,c_228]) ).

cnf(c_601,plain,
    composition(converse(one),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_581,c_57]) ).

cnf(c_623,plain,
    join(complement(X0),complement(composition(one,X0))) = complement(X0),
    inference(superposition,[status(thm)],[c_601,c_78]) ).

cnf(c_626,plain,
    composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_601,c_241]) ).

cnf(c_629,plain,
    composition(one,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_626,c_601]) ).

cnf(c_1854,plain,
    join(complement(X0),complement(X0)) = complement(X0),
    inference(light_normalisation,[status(thm)],[c_623,c_629]) ).

cnf(c_1855,plain,
    join(zero,complement(complement(X0))) = X0,
    inference(demodulation,[status(thm)],[c_299,c_1854]) ).

cnf(c_1867,plain,
    join(zero,zero) = zero,
    inference(superposition,[status(thm)],[c_206,c_1854]) ).

cnf(c_1913,plain,
    join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_1867,c_51]) ).

cnf(c_2147,plain,
    join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_316,c_1913]) ).

cnf(c_2426,plain,
    complement(complement(X0)) = X0,
    inference(superposition,[status(thm)],[c_1855,c_2147]) ).

cnf(c_2452,plain,
    join(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_2426,c_1854]) ).

cnf(c_2490,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_2452,c_51]) ).

cnf(c_2527,plain,
    join(meet(X0,X1),X0) = X0,
    inference(superposition,[status(thm)],[c_317,c_2490]) ).

cnf(c_2542,plain,
    join(X0,meet(X0,X1)) = X0,
    inference(theory_normalisation,[status(thm)],[c_2527,c_51,c_50]) ).

cnf(c_2555,plain,
    composition(sk1,meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
    inference(demodulation,[status(thm)],[c_111,c_2542]) ).

cnf(c_2556,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_2555]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 19:59:13 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running UEQ theorem proving
% 0.17/0.43  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
% 0.42/1.12  % SZS status Started for theBenchmark.p
% 0.42/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12  
% 0.42/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.42/1.12  
% 0.42/1.12  ------  iProver source info
% 0.42/1.12  
% 0.42/1.12  git: date: 2024-05-02 19:28:25 +0000
% 0.42/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.42/1.12  git: non_committed_changes: false
% 0.42/1.12  
% 0.42/1.12  ------ Parsing...successful
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.42/1.12  ------ Proving...
% 0.42/1.12  ------ Problem Properties 
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  clauses                                 14
% 0.42/1.12  conjectures                             0
% 0.42/1.12  EPR                                     0
% 0.42/1.12  Horn                                    14
% 0.42/1.12  unary                                   14
% 0.42/1.12  binary                                  0
% 0.42/1.12  lits                                    14
% 0.42/1.12  lits eq                                 14
% 0.42/1.12  fd_pure                                 0
% 0.42/1.12  fd_pseudo                               0
% 0.42/1.12  fd_cond                                 0
% 0.42/1.12  fd_pseudo_cond                          0
% 0.42/1.12  AC symbols                              1
% 0.42/1.12  
% 0.42/1.12  ------ Input Options Time Limit: Unbounded
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ 
% 0.42/1.12  Current options:
% 0.42/1.12  ------ 
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ Proving...
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12  
% 0.42/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.12  
% 0.42/1.12  
%------------------------------------------------------------------------------