TSTP Solution File: LCL197-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL197-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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  : 600s
% DateTime : Sun Jul 17 12:50:29 EDT 2022

% Result   : Unsatisfiable 0.72s 0.90s
% Output   : CNFRefutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   49 (  27 unt;   0 nHn;  22 RR)
%            Number of literals    :   78 (   0 equ;  30 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  109 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
    axiom(or(not(or(A,A)),A)) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(A),or(B,A))) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(A,B)),or(B,A))) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ) ).

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X),Z))
    | ~ axiom(or(not(X),Y))
    | ~ theorem(or(not(Y),Z)) ) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(q,or(p,q))),or(p,q))) ).

cnf(refute_0_0,plain,
    axiom(or(not(or(X_23,X_23)),X_23)),
    inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).

cnf(refute_0_1,plain,
    ( ~ axiom(or(not(or(X_23,X_23)),X_23))
    | ~ theorem(or(X_23,X_23))
    | theorem(X_23) ),
    inference(subst,[],[rule_2:[bind(X,$fot(X_23)),bind(Y,$fot(or(X_23,X_23)))]]) ).

cnf(refute_0_2,plain,
    ( ~ theorem(or(X_23,X_23))
    | theorem(X_23) ),
    inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ theorem(or(or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299)),or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299))))
    | theorem(or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299))) ),
    inference(subst,[],[refute_0_2:[bind(X_23,$fot(or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299))))]]) ).

cnf(refute_0_4,plain,
    ( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
    | ~ theorem(or(A,or(B,C)))
    | theorem(or(B,or(A,C))) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).

cnf(refute_0_5,plain,
    ( ~ theorem(or(A,or(B,C)))
    | theorem(or(B,or(A,C))) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ theorem(or(X_274,or(or(not(or(X_277,X_276)),X_277),or(X_275,X_276))))
    | theorem(or(or(not(or(X_277,X_276)),X_277),or(X_274,or(X_275,X_276)))) ),
    inference(subst,[],[refute_0_5:[bind(A,$fot(X_274)),bind(B,$fot(or(not(or(X_277,X_276)),X_277))),bind(C,$fot(or(X_275,X_276)))]]) ).

cnf(refute_0_7,plain,
    axiom(or(not(X_24),or(B,X_24))),
    inference(subst,[],[axiom_1_3:[bind(A,$fot(X_24))]]) ).

cnf(refute_0_8,plain,
    ( ~ axiom(or(not(X_24),or(B,X_24)))
    | ~ theorem(X_24)
    | theorem(or(B,X_24)) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(B,X_24))),bind(Y,$fot(X_24))]]) ).

cnf(refute_0_9,plain,
    ( ~ theorem(X_24)
    | theorem(or(B,X_24)) ),
    inference(resolve,[$cnf( axiom(or(not(X_24),or(B,X_24))) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ theorem(or(or(not(or(X_273,X_272)),X_273),or(X_271,X_272)))
    | theorem(or(B,or(or(not(or(X_273,X_272)),X_273),or(X_271,X_272)))) ),
    inference(subst,[],[refute_0_9:[bind(X_24,$fot(or(or(not(or(X_273,X_272)),X_273),or(X_271,X_272))))]]) ).

cnf(refute_0_11,plain,
    ( ~ theorem(or(X_233,or(or(not(or(X_235,X_234)),X_235),X_234)))
    | theorem(or(or(not(or(X_235,X_234)),X_235),or(X_233,X_234))) ),
    inference(subst,[],[refute_0_5:[bind(A,$fot(X_233)),bind(B,$fot(or(not(or(X_235,X_234)),X_235))),bind(C,$fot(X_234))]]) ).

cnf(refute_0_12,plain,
    ( ~ theorem(or(or(not(or(X_153,X_152)),X_153),X_152))
    | theorem(or(B,or(or(not(or(X_153,X_152)),X_153),X_152))) ),
    inference(subst,[],[refute_0_9:[bind(X_24,$fot(or(or(not(or(X_153,X_152)),X_153),X_152)))]]) ).

cnf(refute_0_13,plain,
    ( ~ axiom(or(not(or(A,B)),or(B,A)))
    | ~ theorem(or(A,B))
    | theorem(or(B,A)) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(B,A))),bind(Y,$fot(or(A,B)))]]) ).

cnf(refute_0_14,plain,
    ( ~ theorem(or(A,B))
    | theorem(or(B,A)) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ theorem(or(X_146,or(not(or(X_147,X_146)),X_147)))
    | theorem(or(or(not(or(X_147,X_146)),X_147),X_146)) ),
    inference(subst,[],[refute_0_14:[bind(A,$fot(X_146)),bind(B,$fot(or(not(or(X_147,X_146)),X_147)))]]) ).

cnf(refute_0_16,plain,
    ( ~ axiom(or(not(or(X_7,X_8)),or(X_8,X_7)))
    | theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) ),
    inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).

cnf(refute_0_17,plain,
    axiom(or(not(or(X_7,X_8)),or(X_8,X_7))),
    inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).

cnf(refute_0_18,plain,
    theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
    inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_17,refute_0_16]) ).

cnf(refute_0_19,plain,
    theorem(or(not(or(X_128,X_127)),or(X_127,X_128))),
    inference(subst,[],[refute_0_18:[bind(X_7,$fot(X_128)),bind(X_8,$fot(X_127))]]) ).

cnf(refute_0_20,plain,
    ( ~ theorem(or(not(or(X_128,X_127)),or(X_127,X_128)))
    | theorem(or(X_127,or(not(or(X_128,X_127)),X_128))) ),
    inference(subst,[],[refute_0_5:[bind(A,$fot(not(or(X_128,X_127)))),bind(B,$fot(X_127)),bind(C,$fot(X_128))]]) ).

cnf(refute_0_21,plain,
    theorem(or(X_127,or(not(or(X_128,X_127)),X_128))),
    inference(resolve,[$cnf( theorem(or(not(or(X_128,X_127)),or(X_127,X_128))) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    theorem(or(X_146,or(not(or(X_147,X_146)),X_147))),
    inference(subst,[],[refute_0_21:[bind(X_127,$fot(X_146)),bind(X_128,$fot(X_147))]]) ).

cnf(refute_0_23,plain,
    theorem(or(or(not(or(X_147,X_146)),X_147),X_146)),
    inference(resolve,[$cnf( theorem(or(X_146,or(not(or(X_147,X_146)),X_147))) )],[refute_0_22,refute_0_15]) ).

cnf(refute_0_24,plain,
    theorem(or(or(not(or(X_153,X_152)),X_153),X_152)),
    inference(subst,[],[refute_0_23:[bind(X_146,$fot(X_152)),bind(X_147,$fot(X_153))]]) ).

cnf(refute_0_25,plain,
    theorem(or(B,or(or(not(or(X_153,X_152)),X_153),X_152))),
    inference(resolve,[$cnf( theorem(or(or(not(or(X_153,X_152)),X_153),X_152)) )],[refute_0_24,refute_0_12]) ).

cnf(refute_0_26,plain,
    theorem(or(X_233,or(or(not(or(X_235,X_234)),X_235),X_234))),
    inference(subst,[],[refute_0_25:[bind(B,$fot(X_233)),bind(X_152,$fot(X_234)),bind(X_153,$fot(X_235))]]) ).

cnf(refute_0_27,plain,
    theorem(or(or(not(or(X_235,X_234)),X_235),or(X_233,X_234))),
    inference(resolve,[$cnf( theorem(or(X_233,or(or(not(or(X_235,X_234)),X_235),X_234))) )],[refute_0_26,refute_0_11]) ).

cnf(refute_0_28,plain,
    theorem(or(or(not(or(X_273,X_272)),X_273),or(X_271,X_272))),
    inference(subst,[],[refute_0_27:[bind(X_233,$fot(X_271)),bind(X_234,$fot(X_272)),bind(X_235,$fot(X_273))]]) ).

cnf(refute_0_29,plain,
    theorem(or(B,or(or(not(or(X_273,X_272)),X_273),or(X_271,X_272)))),
    inference(resolve,[$cnf( theorem(or(or(not(or(X_273,X_272)),X_273),or(X_271,X_272))) )],[refute_0_28,refute_0_10]) ).

cnf(refute_0_30,plain,
    theorem(or(X_274,or(or(not(or(X_277,X_276)),X_277),or(X_275,X_276)))),
    inference(subst,[],[refute_0_29:[bind(B,$fot(X_274)),bind(X_271,$fot(X_275)),bind(X_272,$fot(X_276)),bind(X_273,$fot(X_277))]]) ).

cnf(refute_0_31,plain,
    theorem(or(or(not(or(X_277,X_276)),X_277),or(X_274,or(X_275,X_276)))),
    inference(resolve,[$cnf( theorem(or(X_274,or(or(not(or(X_277,X_276)),X_277),or(X_275,X_276)))) )],[refute_0_30,refute_0_6]) ).

cnf(refute_0_32,plain,
    theorem(or(or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299)),or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299)))),
    inference(subst,[],[refute_0_31:[bind(X_274,$fot(not(or(or(X_298,X_299),X_299)))),bind(X_275,$fot(X_298)),bind(X_276,$fot(X_299)),bind(X_277,$fot(or(X_298,X_299)))]]) ).

cnf(refute_0_33,plain,
    theorem(or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299))),
    inference(resolve,[$cnf( theorem(or(or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299)),or(not(or(or(X_298,X_299),X_299)),or(X_298,X_299)))) )],[refute_0_32,refute_0_3]) ).

cnf(refute_0_34,plain,
    theorem(or(not(or(or(X_298,X_2024),X_2024)),or(X_298,X_2024))),
    inference(subst,[],[refute_0_33:[bind(X_299,$fot(X_2024))]]) ).

cnf(refute_0_35,plain,
    ( ~ axiom(or(not(or(A,B)),or(B,A)))
    | ~ theorem(or(not(or(B,A)),X_380))
    | theorem(or(not(or(A,B)),X_380)) ),
    inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_380))]]) ).

cnf(refute_0_36,plain,
    ( ~ theorem(or(not(or(B,A)),X_380))
    | theorem(or(not(or(A,B)),X_380)) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( ~ theorem(or(not(or(or(X_298,X_2024),X_2024)),or(X_298,X_2024)))
    | theorem(or(not(or(X_2024,or(X_298,X_2024))),or(X_298,X_2024))) ),
    inference(subst,[],[refute_0_36:[bind(A,$fot(X_2024)),bind(B,$fot(or(X_298,X_2024))),bind(X_380,$fot(or(X_298,X_2024)))]]) ).

cnf(refute_0_38,plain,
    theorem(or(not(or(X_2024,or(X_298,X_2024))),or(X_298,X_2024))),
    inference(resolve,[$cnf( theorem(or(not(or(or(X_298,X_2024),X_2024)),or(X_298,X_2024))) )],[refute_0_34,refute_0_37]) ).

cnf(refute_0_39,plain,
    theorem(or(not(or(q,or(p,q))),or(p,q))),
    inference(subst,[],[refute_0_38:[bind(X_2024,$fot(q)),bind(X_298,$fot(p))]]) ).

cnf(refute_0_40,plain,
    $false,
    inference(resolve,[$cnf( theorem(or(not(or(q,or(p,q))),or(p,q))) )],[refute_0_39,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : LCL197-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jul  3 02:23:30 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.72/0.90  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.90  
% 0.72/0.90  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.72/0.91  
%------------------------------------------------------------------------------