TSTP Solution File: SYO607+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 : Wed May 31 12:49:21 EDT 2023

% Result   : Theorem 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.07  % Problem  : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.05/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n005.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:04:21 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% 0.07/0.27  fof(f1,conjecture,(
% 0.07/0.27    ( (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))| (? [A] :(! [B] : g_true_only(A,B)))| ( (? [A] :( ( g_both(a,A)| ( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )) )& ~ g_true_only(a,A)& ~ (! [B] : g_true_only(A,B) )))& ~ (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))& (? [A] :( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )))& ~ (? [A] :(! [B] : g_true_only(A,B) ))) ) ),
% 0.07/0.27    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27  fof(f2,negated_conjecture,(
% 0.07/0.27    ~(( (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))| (? [A] :(! [B] : g_true_only(A,B)))| ( (? [A] :( ( g_both(a,A)| ( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )) )& ~ g_true_only(a,A)& ~ (! [B] : g_true_only(A,B) )))& ~ (? [A] :( g_false_only(a,A)& (? [B] : g_false_only(A,B) )))& (? [A] :( (? [B] : g_both(A,B))& ~ (? [B] : g_false_only(A,B) )))& ~ (? [A] :(! [B] : g_true_only(A,B) ))) ) )),
% 0.07/0.27    inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.27  fof(f3,axiom,(
% 0.07/0.27    (! [X_2,X_1] :( g_true_only(X_2,X_1)<=> ( g_true(X_2,X_1)& ~ g_false(X_2,X_1) ) ) )),
% 0.07/0.27    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27  fof(f4,axiom,(
% 0.07/0.27    (! [X_2,X_1] :( g_both(X_2,X_1)<=> ( g_true(X_2,X_1)& g_false(X_2,X_1) ) ) )),
% 0.07/0.27    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27  fof(f6,axiom,(
% 0.07/0.27    (! [X_2,X_1] :( g_true_only(X_2,X_1)| g_both(X_2,X_1)| g_false_only(X_2,X_1) ) )),
% 0.07/0.27    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.27  fof(f7,plain,(
% 0.07/0.27    (((![A]: (~g_false_only(a,A)|(![B]: ~g_false_only(A,B))))&(![A]: ?[B]: ~g_true_only(A,B)))&((((![A]: (((~g_both(a,A)&((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B))))|g_true_only(a,A))|(![B]: g_true_only(A,B))))|(?[A]: (g_false_only(a,A)&(?[B]: g_false_only(A,B)))))|(![A]: ((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B)))))|(?[A]: ![B]: g_true_only(A,B))))),
% 0.07/0.27    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.07/0.27  fof(f8,plain,(
% 0.07/0.27    ![A]: (pd0_0(A)=>(((~g_both(a,A)&((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B))))|g_true_only(a,A))|(![B]: g_true_only(A,B))))),
% 0.07/0.27    introduced(predicate_definition,[f7])).
% 0.07/0.27  fof(f9,plain,(
% 0.07/0.27    ((![A]: (~g_false_only(a,A)|(![B]: ~g_false_only(A,B))))&(![A]: ?[B]: ~g_true_only(A,B)))&((((![A]: pd0_0(A))|(?[A]: (g_false_only(a,A)&(?[B]: g_false_only(A,B)))))|(![A]: ((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B)))))|(?[A]: ![B]: g_true_only(A,B)))),
% 0.07/0.27    inference(formula_renaming,[status(thm)],[f7,f8])).
% 0.07/0.27  fof(f10,plain,(
% 0.07/0.27    ((![A]: (~g_false_only(a,A)|(![B]: ~g_false_only(A,B))))&(![A]: ~g_true_only(A,sk0_0(A))))&((((![A]: pd0_0(A))|(g_false_only(a,sk0_1)&g_false_only(sk0_1,sk0_2)))|(![A]: ((![B]: ~g_both(A,B))|g_false_only(A,sk0_3(A)))))|![B]: g_true_only(sk0_4,B))),
% 0.07/0.27    inference(skolemization,[status(esa)],[f9])).
% 0.07/0.27  fof(f11,plain,(
% 0.07/0.27    ![X0,X1]: (~g_false_only(a,X0)|~g_false_only(X0,X1))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f10])).
% 0.07/0.27  fof(f12,plain,(
% 0.07/0.27    ![X0]: (~g_true_only(X0,sk0_0(X0)))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f10])).
% 0.07/0.27  fof(f13,plain,(
% 0.07/0.27    ![X0,X1,X2,X3]: (pd0_0(X0)|g_false_only(a,sk0_1)|~g_both(X1,X2)|g_false_only(X1,sk0_3(X1))|g_true_only(sk0_4,X3))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f10])).
% 0.07/0.27  fof(f14,plain,(
% 0.07/0.27    ![X0,X1,X2,X3]: (pd0_0(X0)|g_false_only(sk0_1,sk0_2)|~g_both(X1,X2)|g_false_only(X1,sk0_3(X1))|g_true_only(sk0_4,X3))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f10])).
% 0.07/0.27  fof(f15,plain,(
% 0.07/0.27    ![X_2,X_1]: ((~g_true_only(X_2,X_1)|(g_true(X_2,X_1)&~g_false(X_2,X_1)))&(g_true_only(X_2,X_1)|(~g_true(X_2,X_1)|g_false(X_2,X_1))))),
% 0.07/0.27    inference(NNF_transformation,[status(esa)],[f3])).
% 0.07/0.27  fof(f16,plain,(
% 0.07/0.27    (![X_2,X_1]: (~g_true_only(X_2,X_1)|(g_true(X_2,X_1)&~g_false(X_2,X_1))))&(![X_2,X_1]: (g_true_only(X_2,X_1)|(~g_true(X_2,X_1)|g_false(X_2,X_1))))),
% 0.07/0.27    inference(miniscoping,[status(esa)],[f15])).
% 0.07/0.27  fof(f18,plain,(
% 0.07/0.27    ![X0,X1]: (~g_true_only(X0,X1)|~g_false(X0,X1))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f16])).
% 0.07/0.27  fof(f20,plain,(
% 0.07/0.27    ![X_2,X_1]: ((~g_both(X_2,X_1)|(g_true(X_2,X_1)&g_false(X_2,X_1)))&(g_both(X_2,X_1)|(~g_true(X_2,X_1)|~g_false(X_2,X_1))))),
% 0.07/0.27    inference(NNF_transformation,[status(esa)],[f4])).
% 0.07/0.27  fof(f21,plain,(
% 0.07/0.27    (![X_2,X_1]: (~g_both(X_2,X_1)|(g_true(X_2,X_1)&g_false(X_2,X_1))))&(![X_2,X_1]: (g_both(X_2,X_1)|(~g_true(X_2,X_1)|~g_false(X_2,X_1))))),
% 0.07/0.27    inference(miniscoping,[status(esa)],[f20])).
% 0.07/0.27  fof(f23,plain,(
% 0.07/0.27    ![X0,X1]: (~g_both(X0,X1)|g_false(X0,X1))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f21])).
% 0.07/0.27  fof(f30,plain,(
% 0.07/0.27    ![X0,X1]: (g_true_only(X0,X1)|g_both(X0,X1)|g_false_only(X0,X1))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f6])).
% 0.07/0.27  fof(f31,plain,(
% 0.07/0.27    ![A]: (~pd0_0(A)|(((~g_both(a,A)&((![B]: ~g_both(A,B))|(?[B]: g_false_only(A,B))))|g_true_only(a,A))|(![B]: g_true_only(A,B))))),
% 0.07/0.27    inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.07/0.27  fof(f32,plain,(
% 0.07/0.27    ![A]: (~pd0_0(A)|(((~g_both(a,A)&((![B]: ~g_both(A,B))|g_false_only(A,sk0_5(A))))|g_true_only(a,A))|(![B]: g_true_only(A,B))))),
% 0.07/0.27    inference(skolemization,[status(esa)],[f31])).
% 0.07/0.27  fof(f33,plain,(
% 0.07/0.27    ![X0,X1]: (~pd0_0(X0)|~g_both(a,X0)|g_true_only(a,X0)|g_true_only(X0,X1))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f32])).
% 0.07/0.27  fof(f34,plain,(
% 0.07/0.27    ![X0,X1,X2]: (~pd0_0(X0)|~g_both(X0,X1)|g_false_only(X0,sk0_5(X0))|g_true_only(a,X0)|g_true_only(X0,X2))),
% 0.07/0.27    inference(cnf_transformation,[status(esa)],[f32])).
% 0.07/0.27  fof(f35,plain,(
% 0.07/0.27    spl0_0 <=> pd0_0(X0)),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f36,plain,(
% 0.07/0.27    ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.07/0.27    inference(component_clause,[status(thm)],[f35])).
% 0.07/0.27  fof(f38,plain,(
% 0.07/0.27    spl0_1 <=> g_false_only(a,sk0_1)),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f39,plain,(
% 0.07/0.27    g_false_only(a,sk0_1)|~spl0_1),
% 0.07/0.27    inference(component_clause,[status(thm)],[f38])).
% 0.07/0.27  fof(f41,plain,(
% 0.07/0.27    spl0_2 <=> ~g_both(X1,X2)|g_false_only(X1,sk0_3(X1))),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f42,plain,(
% 0.07/0.27    ![X0,X1]: (~g_both(X0,X1)|g_false_only(X0,sk0_3(X0))|~spl0_2)),
% 0.07/0.27    inference(component_clause,[status(thm)],[f41])).
% 0.07/0.27  fof(f44,plain,(
% 0.07/0.27    spl0_3 <=> g_true_only(sk0_4,X3)),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f45,plain,(
% 0.07/0.27    ![X0]: (g_true_only(sk0_4,X0)|~spl0_3)),
% 0.07/0.27    inference(component_clause,[status(thm)],[f44])).
% 0.07/0.27  fof(f47,plain,(
% 0.07/0.27    spl0_0|spl0_1|spl0_2|spl0_3),
% 0.07/0.27    inference(split_clause,[status(thm)],[f13,f35,f38,f41,f44])).
% 0.07/0.27  fof(f48,plain,(
% 0.07/0.27    spl0_4 <=> g_false_only(sk0_1,sk0_2)),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f49,plain,(
% 0.07/0.27    g_false_only(sk0_1,sk0_2)|~spl0_4),
% 0.07/0.27    inference(component_clause,[status(thm)],[f48])).
% 0.07/0.27  fof(f51,plain,(
% 0.07/0.27    spl0_0|spl0_4|spl0_2|spl0_3),
% 0.07/0.27    inference(split_clause,[status(thm)],[f14,f35,f48,f41,f44])).
% 0.07/0.27  fof(f52,plain,(
% 0.07/0.27    ![X0,X1]: (~g_both(X0,X1)|~g_true_only(X0,X1))),
% 0.07/0.27    inference(resolution,[status(thm)],[f23,f18])).
% 0.07/0.27  fof(f53,plain,(
% 0.07/0.27    ![X0,X1]: (~pd0_0(X0)|~g_both(a,X0)|g_true_only(X0,X1))),
% 0.07/0.27    inference(backward_subsumption_resolution,[status(thm)],[f33,f52])).
% 0.07/0.27  fof(f54,plain,(
% 0.07/0.27    $false|~spl0_3),
% 0.07/0.27    inference(resolution,[status(thm)],[f45,f12])).
% 0.07/0.27  fof(f55,plain,(
% 0.07/0.27    ~spl0_3),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f54])).
% 0.07/0.27  fof(f57,plain,(
% 0.07/0.27    ![X0,X1]: (g_false_only(X0,sk0_3(X0))|g_true_only(X0,X1)|g_false_only(X0,X1)|~spl0_2)),
% 0.07/0.27    inference(resolution,[status(thm)],[f42,f30])).
% 0.07/0.27  fof(f61,plain,(
% 0.07/0.27    ![X0]: (g_false_only(X0,sk0_3(X0))|g_false_only(X0,sk0_0(X0))|~spl0_2)),
% 0.07/0.27    inference(resolution,[status(thm)],[f57,f12])).
% 0.07/0.27  fof(f63,plain,(
% 0.07/0.27    spl0_5 <=> g_false_only(a,sk0_0(a))),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f64,plain,(
% 0.07/0.27    g_false_only(a,sk0_0(a))|~spl0_5),
% 0.07/0.27    inference(component_clause,[status(thm)],[f63])).
% 0.07/0.27  fof(f66,plain,(
% 0.07/0.27    spl0_6 <=> ~g_false_only(sk0_3(a),X0)),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f67,plain,(
% 0.07/0.27    ![X0]: (~g_false_only(sk0_3(a),X0)|~spl0_6)),
% 0.07/0.27    inference(component_clause,[status(thm)],[f66])).
% 0.07/0.27  fof(f69,plain,(
% 0.07/0.27    ![X0]: (g_false_only(a,sk0_0(a))|~g_false_only(sk0_3(a),X0)|~spl0_2)),
% 0.07/0.27    inference(resolution,[status(thm)],[f61,f11])).
% 0.07/0.27  fof(f70,plain,(
% 0.07/0.27    spl0_5|spl0_6|~spl0_2),
% 0.07/0.27    inference(split_clause,[status(thm)],[f69,f63,f66,f41])).
% 0.07/0.27  fof(f73,plain,(
% 0.07/0.27    ![X0,X1]: (~g_both(a,X0)|g_true_only(X0,X1)|~spl0_0)),
% 0.07/0.27    inference(backward_subsumption_resolution,[status(thm)],[f53,f36])).
% 0.07/0.27  fof(f74,plain,(
% 0.07/0.27    ![X0,X1,X2]: (~g_both(X0,X1)|g_false_only(X0,sk0_5(X0))|g_true_only(a,X0)|g_true_only(X0,X2)|~spl0_0)),
% 0.07/0.27    inference(backward_subsumption_resolution,[status(thm)],[f34,f36])).
% 0.07/0.27  fof(f76,plain,(
% 0.07/0.27    ![X0,X1]: (g_true_only(X0,X1)|g_true_only(a,X0)|g_false_only(a,X0)|~spl0_0)),
% 0.07/0.27    inference(resolution,[status(thm)],[f73,f30])).
% 0.07/0.27  fof(f80,plain,(
% 0.07/0.27    spl0_7 <=> g_true_only(sk0_0(a),X0)),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f81,plain,(
% 0.07/0.27    ![X0]: (g_true_only(sk0_0(a),X0)|~spl0_7)),
% 0.07/0.27    inference(component_clause,[status(thm)],[f80])).
% 0.07/0.27  fof(f83,plain,(
% 0.07/0.27    ![X0]: (g_true_only(sk0_0(a),X0)|g_false_only(a,sk0_0(a))|~spl0_0)),
% 0.07/0.27    inference(resolution,[status(thm)],[f76,f12])).
% 0.07/0.27  fof(f84,plain,(
% 0.07/0.27    spl0_7|spl0_5|~spl0_0),
% 0.07/0.27    inference(split_clause,[status(thm)],[f83,f80,f63,f35])).
% 0.07/0.27  fof(f88,plain,(
% 0.07/0.27    ![X0]: (~g_false_only(sk0_1,X0)|~spl0_1)),
% 0.07/0.27    inference(resolution,[status(thm)],[f39,f11])).
% 0.07/0.27  fof(f91,plain,(
% 0.07/0.27    $false|~spl0_1|~spl0_4),
% 0.07/0.27    inference(backward_subsumption_resolution,[status(thm)],[f49,f88])).
% 0.07/0.27  fof(f92,plain,(
% 0.07/0.27    ~spl0_1|~spl0_4),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f91])).
% 0.07/0.27  fof(f94,plain,(
% 0.07/0.27    ![X0]: (~g_false_only(sk0_0(a),X0)|~spl0_5)),
% 0.07/0.27    inference(resolution,[status(thm)],[f64,f11])).
% 0.07/0.27  fof(f97,plain,(
% 0.07/0.27    spl0_8 <=> ~g_both(sk0_0(a),X0)),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f98,plain,(
% 0.07/0.27    ![X0]: (~g_both(sk0_0(a),X0)|~spl0_8)),
% 0.07/0.27    inference(component_clause,[status(thm)],[f97])).
% 0.07/0.27  fof(f100,plain,(
% 0.07/0.27    spl0_9 <=> g_false_only(sk0_0(a),sk0_5(sk0_0(a)))),
% 0.07/0.27    introduced(split_symbol_definition)).
% 0.07/0.27  fof(f101,plain,(
% 0.07/0.27    g_false_only(sk0_0(a),sk0_5(sk0_0(a)))|~spl0_9),
% 0.07/0.27    inference(component_clause,[status(thm)],[f100])).
% 0.07/0.27  fof(f103,plain,(
% 0.07/0.27    ![X0,X1]: (~g_both(sk0_0(a),X0)|g_false_only(sk0_0(a),sk0_5(sk0_0(a)))|g_true_only(sk0_0(a),X1)|~spl0_0)),
% 0.07/0.27    inference(resolution,[status(thm)],[f74,f12])).
% 0.07/0.27  fof(f104,plain,(
% 0.07/0.27    spl0_8|spl0_9|spl0_7|~spl0_0),
% 0.07/0.27    inference(split_clause,[status(thm)],[f103,f97,f100,f80,f35])).
% 0.07/0.27  fof(f106,plain,(
% 0.07/0.27    $false|~spl0_7),
% 0.07/0.27    inference(resolution,[status(thm)],[f81,f12])).
% 0.07/0.27  fof(f107,plain,(
% 0.07/0.27    ~spl0_7),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f106])).
% 0.07/0.27  fof(f108,plain,(
% 0.07/0.27    $false|~spl0_5|~spl0_9),
% 0.07/0.27    inference(forward_subsumption_resolution,[status(thm)],[f101,f94])).
% 0.07/0.27  fof(f109,plain,(
% 0.07/0.27    ~spl0_5|~spl0_9),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f108])).
% 0.07/0.27  fof(f111,plain,(
% 0.07/0.27    ![X0]: (g_true_only(sk0_0(a),X0)|g_false_only(sk0_0(a),X0)|~spl0_8)),
% 0.07/0.27    inference(resolution,[status(thm)],[f98,f30])).
% 0.07/0.27  fof(f112,plain,(
% 0.07/0.27    ![X0]: (g_true_only(sk0_0(a),X0)|~spl0_5|~spl0_8)),
% 0.07/0.27    inference(forward_subsumption_resolution,[status(thm)],[f111,f94])).
% 0.07/0.27  fof(f113,plain,(
% 0.07/0.27    $false|~spl0_5|~spl0_8),
% 0.07/0.27    inference(resolution,[status(thm)],[f112,f12])).
% 0.07/0.27  fof(f114,plain,(
% 0.07/0.27    ~spl0_5|~spl0_8),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f113])).
% 0.07/0.27  fof(f135,plain,(
% 0.07/0.27    g_false_only(sk0_0(a),sk0_0(sk0_0(a)))|~spl0_2|~spl0_5),
% 0.07/0.27    inference(resolution,[status(thm)],[f61,f94])).
% 0.07/0.27  fof(f136,plain,(
% 0.07/0.27    $false|~spl0_2|~spl0_5),
% 0.07/0.27    inference(forward_subsumption_resolution,[status(thm)],[f135,f94])).
% 0.07/0.27  fof(f137,plain,(
% 0.07/0.27    ~spl0_2|~spl0_5),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f136])).
% 0.07/0.27  fof(f142,plain,(
% 0.07/0.27    g_false_only(sk0_1,sk0_0(sk0_1))|~spl0_1|~spl0_2),
% 0.07/0.27    inference(resolution,[status(thm)],[f88,f61])).
% 0.07/0.27  fof(f143,plain,(
% 0.07/0.27    $false|~spl0_1|~spl0_2),
% 0.07/0.27    inference(forward_subsumption_resolution,[status(thm)],[f142,f88])).
% 0.07/0.27  fof(f144,plain,(
% 0.07/0.27    ~spl0_1|~spl0_2),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f143])).
% 0.07/0.27  fof(f145,plain,(
% 0.07/0.27    g_false_only(sk0_3(a),sk0_0(sk0_3(a)))|~spl0_6|~spl0_2),
% 0.07/0.27    inference(resolution,[status(thm)],[f67,f61])).
% 0.07/0.27  fof(f146,plain,(
% 0.07/0.27    $false|~spl0_6|~spl0_2),
% 0.07/0.27    inference(forward_subsumption_resolution,[status(thm)],[f145,f67])).
% 0.07/0.27  fof(f147,plain,(
% 0.07/0.27    ~spl0_6|~spl0_2),
% 0.07/0.27    inference(contradiction_clause,[status(thm)],[f146])).
% 0.07/0.27  fof(f148,plain,(
% 0.07/0.27    $false),
% 0.07/0.27    inference(sat_refutation,[status(thm)],[f47,f51,f55,f70,f84,f92,f104,f107,f109,f114,f137,f144,f147])).
% 0.07/0.27  % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.28  % Elapsed time: 0.012468 seconds
% 0.07/0.28  % CPU time: 0.024587 seconds
% 0.07/0.28  % Memory used: 1.973 MB
%------------------------------------------------------------------------------