TSTP Solution File: COL121-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL121-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 136.22s 17.53s
% Output : CNFRefutation 136.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL121-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Apr 29 22:47:34 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.19/0.37 % Drodi V3.6.0
% 136.22/17.53 % Refutation found
% 136.22/17.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 136.22/17.53 % SZS output start CNFRefutation for theBenchmark
% 136.22/17.53 fof(f317,axiom,(
% 136.22/17.53 (![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)) ) ))),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1366,axiom,(
% 136.22/17.53 (![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)) ) ))),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1367,axiom,(
% 136.22/17.53 (![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)) ) ))),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1368,axiom,(
% 136.22/17.53 (![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)) ) ))),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1369,negated_conjecture,(
% 136.22/17.53 c_Comb_Odiamond(v_r,t_a) ),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1371,negated_conjecture,(
% 136.22/17.53 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1372,negated_conjecture,(
% 136.22/17.53 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)) ),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1373,negated_conjecture,(
% 136.22/17.53 (![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)) ) ))),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1374,negated_conjecture,(
% 136.22/17.53 (![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)) ) ))),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1375,negated_conjecture,(
% 136.22/17.53 (![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)) ) ))),
% 136.22/17.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 136.22/17.53 fof(f1807,plain,(
% 136.22/17.53 ![X0,X1,X2]: (~c_in(X0,X1,tc_prod(X2,X2))|c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f317])).
% 136.22/17.53 fof(f2861,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(miniscoping,[status(esa)],[f1366])).
% 136.22/17.53 fof(f2862,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f2861])).
% 136.22/17.53 fof(f2863,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(miniscoping,[status(esa)],[f1367])).
% 136.22/17.53 fof(f2864,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f2863])).
% 136.22/17.53 fof(f2865,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(miniscoping,[status(esa)],[f1368])).
% 136.22/17.53 fof(f2866,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f2865])).
% 136.22/17.53 fof(f2867,plain,(
% 136.22/17.53 c_Comb_Odiamond(v_r,t_a)),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f1369])).
% 136.22/17.53 fof(f2869,plain,(
% 136.22/17.53 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f1371])).
% 136.22/17.53 fof(f2870,plain,(
% 136.22/17.53 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))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f1372])).
% 136.22/17.53 fof(f2871,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f1373])).
% 136.22/17.53 fof(f2872,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f1374])).
% 136.22/17.53 fof(f2873,plain,(
% 136.22/17.53 ![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)))),
% 136.22/17.53 inference(cnf_transformation,[status(esa)],[f1375])).
% 136.22/17.53 fof(f2874,plain,(
% 136.22/17.53 spl0_0 <=> 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))),
% 136.22/17.53 introduced(split_symbol_definition)).
% 136.22/17.53 fof(f2876,plain,(
% 136.22/17.53 ~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))|spl0_0),
% 136.22/17.53 inference(component_clause,[status(thm)],[f2874])).
% 136.22/17.53 fof(f2882,plain,(
% 136.22/17.53 $false|spl0_0),
% 136.22/17.53 inference(forward_subsumption_resolution,[status(thm)],[f2876,f2870])).
% 136.22/17.53 fof(f2883,plain,(
% 136.22/17.53 spl0_0),
% 136.22/17.53 inference(contradiction_clause,[status(thm)],[f2882])).
% 136.22/17.53 fof(f2890,plain,(
% 136.22/17.53 ![X0,X1]: (~c_in(c_Pair(X0,X1,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))|~c_in(c_Pair(v_z,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 136.22/17.53 inference(resolution,[status(thm)],[f2866,f2873])).
% 136.22/17.53 fof(f2891,plain,(
% 136.22/17.53 spl0_2 <=> ~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_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))),
% 136.22/17.53 introduced(split_symbol_definition)).
% 136.22/17.53 fof(f2892,plain,(
% 136.22/17.53 ![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_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~spl0_2)),
% 136.22/17.53 inference(component_clause,[status(thm)],[f2891])).
% 136.22/17.53 fof(f2894,plain,(
% 136.22/17.53 ![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_z,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,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 136.22/17.57 inference(resolution,[status(thm)],[f2890,f2872])).
% 136.22/17.57 fof(f2895,plain,(
% 136.22/17.57 spl0_2|~spl0_0),
% 136.22/17.57 inference(split_clause,[status(thm)],[f2894,f2891,f2874])).
% 136.22/17.57 fof(f2957,plain,(
% 136.22/17.57 ![X0]: (~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))|~c_in(c_Pair(v_x(v_xaa),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_2)),
% 136.22/17.57 inference(resolution,[status(thm)],[f2892,f1807])).
% 136.22/17.57 fof(f3306,plain,(
% 136.22/17.57 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))),
% 136.22/17.57 inference(resolution,[status(thm)],[f2870,f2871])).
% 136.22/17.57 fof(f25861,plain,(
% 136.22/17.57 ![X0,X1,X2]: (~c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X0,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(v_r,X2,X1,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 136.22/17.57 inference(resolution,[status(thm)],[f2862,f2867])).
% 136.22/17.57 fof(f25862,plain,(
% 136.22/17.57 ![X0,X1,X2]: (~c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X0,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|c_in(c_Pair(X2,c_Comb_Odiamond__strip__lemmaE__1(v_r,X2,X1,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 136.22/17.57 inference(resolution,[status(thm)],[f2864,f2867])).
% 136.22/17.57 fof(f26003,plain,(
% 136.22/17.57 ![X0]: (~c_in(c_Pair(v_ya,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,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0,v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 136.22/17.57 inference(resolution,[status(thm)],[f25861,f2869])).
% 136.22/17.57 fof(f26037,plain,(
% 136.22/17.57 ![X0]: (~c_in(c_Pair(v_ya,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0,v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 136.22/17.57 inference(resolution,[status(thm)],[f25862,f2869])).
% 136.22/17.57 fof(f26050,plain,(
% 136.22/17.57 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))),
% 136.22/17.57 inference(resolution,[status(thm)],[f26037,f3306])).
% 136.22/17.57 fof(f26163,plain,(
% 136.22/17.57 ~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_2),
% 136.22/17.57 inference(resolution,[status(thm)],[f26050,f2957])).
% 136.22/17.57 fof(f26178,plain,(
% 136.22/17.57 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))),
% 136.22/17.57 inference(resolution,[status(thm)],[f26003,f3306])).
% 136.22/17.57 fof(f27581,plain,(
% 136.22/17.57 $false|~spl0_2),
% 136.22/17.57 inference(forward_subsumption_resolution,[status(thm)],[f26178,f26163])).
% 136.22/17.57 fof(f27582,plain,(
% 136.22/17.57 ~spl0_2),
% 136.22/17.57 inference(contradiction_clause,[status(thm)],[f27581])).
% 136.22/17.57 fof(f27583,plain,(
% 136.22/17.57 $false),
% 136.22/17.57 inference(sat_refutation,[status(thm)],[f2883,f2895,f27582])).
% 136.22/17.57 % SZS output end CNFRefutation for theBenchmark.p
% 139.24/18.80 % Elapsed time: 18.254203 seconds
% 139.24/18.80 % CPU time: 130.180741 seconds
% 139.24/18.80 % Total memory used: 783.700 MB
% 139.24/18.80 % Net memory used: 761.154 MB
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