TSTP Solution File: COL121-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Tue Apr 30 20:13:56 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:31:46 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (![V_r,T_a,V_x,V_y_H,V_y]: (( ~ c_Comb_Odiamond(V_r,T_a)| ~ c_in(c_Pair(V_x,V_y_H,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| c_in(c_Pair(V_y_H,c_Comb_Odiamond__strip__lemmaE__1(V_r,V_y,V_y_H,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (![V_r,T_a,V_x,V_y_H,V_y]: (( ~ c_Comb_Odiamond(V_r,T_a)| ~ c_in(c_Pair(V_x,V_y_H,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| c_in(c_Pair(V_y,c_Comb_Odiamond__strip__lemmaE__1(V_r,V_y,V_y_H,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 (![V_p,V_r,T_a]: (( ~ c_in(V_p,V_r,tc_prod(T_a,T_a))| c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (![V_b,V_c,T_a,V_r,V_a]: (( ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))| c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,negated_conjecture,(
% 0.13/0.37 c_Comb_Odiamond(v_r,t_a) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,negated_conjecture,(
% 0.13/0.37 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,negated_conjecture,(
% 0.13/0.37 c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,negated_conjecture,(
% 0.13/0.37 (![V_U]: (( c_in(c_Pair(v_ya,v_x(V_U),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_y,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,negated_conjecture,(
% 0.13/0.37 (![V_U]: (( c_in(c_Pair(V_U,v_x(V_U),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_y,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f10,negated_conjecture,(
% 0.13/0.37 (![V_U]: (( ~ c_in(c_Pair(v_xaa,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_z,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 ![V_r,T_a,V_y_H,V_y]: ((![V_x]: ((~c_Comb_Odiamond(V_r,T_a)|~c_in(c_Pair(V_x,V_y_H,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))))|c_in(c_Pair(V_y_H,c_Comb_Odiamond__strip__lemmaE__1(V_r,V_y,V_y_H,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.37 fof(f12,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~c_Comb_Odiamond(X0,X1)|~c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))|~c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))|c_in(c_Pair(X3,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 ![V_r,T_a,V_y_H,V_y]: ((![V_x]: ((~c_Comb_Odiamond(V_r,T_a)|~c_in(c_Pair(V_x,V_y_H,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))))|c_in(c_Pair(V_y,c_Comb_Odiamond__strip__lemmaE__1(V_r,V_y,V_y_H,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f2])).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~c_Comb_Odiamond(X0,X1)|~c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))|~c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))|c_in(c_Pair(X4,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),X0,tc_prod(X1,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~c_in(X0,X1,tc_prod(X2,X2))|c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 ![V_c,T_a,V_r,V_a]: ((![V_b]: (~c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))|~c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))))|c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))|~c_in(c_Pair(X4,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))|c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 c_Comb_Odiamond(v_r,t_a)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![X0]: (c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![X0]: (c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![X0]: (~c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))),
% 0.13/0.37 inference(resolution,[status(thm)],[f22,f20])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))),
% 0.13/0.37 inference(resolution,[status(thm)],[f21,f20])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 ![X0]: (~c_in(c_Pair(v_x(v_xaa),X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f17,f24])).
% 0.13/0.37 fof(f87,plain,(
% 0.13/0.37 spl0_2 <=> c_Comb_Odiamond(v_r,t_a)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 ~c_Comb_Odiamond(v_r,t_a)|spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f87])).
% 0.13/0.37 fof(f186,plain,(
% 0.13/0.37 spl0_23 <=> ~c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X0,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f187,plain,(
% 0.13/0.37 ![X0]: (~c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X0,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~spl0_23)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f186])).
% 0.13/0.37 fof(f189,plain,(
% 0.13/0.37 ![X0]: (~c_Comb_Odiamond(v_r,t_a)|~c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X0,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f12,f25])).
% 0.13/0.37 fof(f190,plain,(
% 0.13/0.37 ~spl0_2|spl0_23),
% 0.13/0.37 inference(split_clause,[status(thm)],[f189,f87,f186])).
% 0.13/0.37 fof(f211,plain,(
% 0.13/0.37 $false|spl0_2),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f89,f18])).
% 0.13/0.37 fof(f212,plain,(
% 0.13/0.37 spl0_2),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f211])).
% 0.13/0.37 fof(f308,plain,(
% 0.13/0.37 spl0_47 <=> ~c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X0,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f309,plain,(
% 0.13/0.37 ![X0]: (~c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X0,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_47)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f308])).
% 0.13/0.37 fof(f311,plain,(
% 0.13/0.37 ![X0]: (~c_Comb_Odiamond(v_r,t_a)|~c_in(c_Pair(v_ya,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),X0,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f14,f25])).
% 0.13/0.37 fof(f312,plain,(
% 0.13/0.37 ~spl0_2|spl0_47),
% 0.13/0.37 inference(split_clause,[status(thm)],[f311,f87,f308])).
% 0.13/0.37 fof(f399,plain,(
% 0.13/0.37 c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~spl0_23),
% 0.13/0.37 inference(resolution,[status(thm)],[f187,f19])).
% 0.13/0.37 fof(f448,plain,(
% 0.13/0.37 c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_47),
% 0.13/0.37 inference(resolution,[status(thm)],[f309,f19])).
% 0.13/0.37 fof(f449,plain,(
% 0.13/0.37 c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~spl0_47),
% 0.13/0.37 inference(resolution,[status(thm)],[f448,f15])).
% 0.13/0.37 fof(f450,plain,(
% 0.13/0.37 c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~spl0_47),
% 0.13/0.37 inference(resolution,[status(thm)],[f449,f38])).
% 0.13/0.37 fof(f464,plain,(
% 0.13/0.37 ~c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~spl0_47),
% 0.13/0.37 inference(resolution,[status(thm)],[f450,f23])).
% 0.13/0.37 fof(f465,plain,(
% 0.13/0.37 $false|~spl0_23|~spl0_47),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f464,f399])).
% 0.13/0.37 fof(f466,plain,(
% 0.13/0.37 ~spl0_23|~spl0_47),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f465])).
% 0.13/0.37 fof(f467,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f190,f212,f312,f466])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.021485 seconds
% 0.13/0.39 % CPU time: 0.047329 seconds
% 0.13/0.39 % Total memory used: 9.591 MB
% 0.13/0.39 % Net memory used: 9.566 MB
%------------------------------------------------------------------------------