%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL123-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:09:12 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL123-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n010.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 14:12:48 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.14/5.40 % Drodi V4.1.1
% 0.14/5.44 % Refutation found
% 0.14/5.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.44 fof(f317,axiom,(
% 0.14/5.44 (![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)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1366,axiom,(
% 0.14/5.44 (![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)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1368,negated_conjecture,(
% 0.14/5.44 c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1369,negated_conjecture,(
% 0.14/5.44 c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1370,negated_conjecture,(
% 0.14/5.44 (![V_U]: (( c_in(c_Pair(V_U,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_x,V_U,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1371,negated_conjecture,(
% 0.14/5.44 (![V_U]: (( c_in(c_Pair(v_y,v_xaa(V_U),t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_x,V_U,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1372,negated_conjecture,(
% 0.14/5.44 (![V_U]: (( ~ c_in(c_Pair(v_z,V_U,t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_xb,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1373,negated_conjecture,(
% 0.14/5.44 (![V_V,V_U,V_W]: (( c_in(c_Pair(V_V,v_xa(V_U,V_V,V_W),t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(V_U,V_W,t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(V_U,V_V,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1374,negated_conjecture,(
% 0.14/5.44 (![V_W,V_U,V_V]: (( c_in(c_Pair(V_W,v_xa(V_U,V_V,V_W),t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(V_U,V_W,t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(V_U,V_V,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.14/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.44 fof(f1806,plain,(
% 0.14/5.44 ![X0,X1,X2]: (~c_in(X0,X1,tc_prod(X2,X2))|c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f317])).
% 0.14/5.44 fof(f2860,plain,(
% 0.14/5.44 ![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)))),
% 0.14/5.44 inference(miniscoping,[status(thm)],[f1366])).
% 0.14/5.44 fof(f2861,plain,(
% 0.14/5.44 ![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)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f2860])).
% 0.14/5.44 fof(f2863,plain,(
% 0.14/5.44 c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f1368])).
% 0.14/5.44 fof(f2864,plain,(
% 0.14/5.44 c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f1369])).
% 0.14/5.44 fof(f2865,plain,(
% 0.14/5.44 ![X0]: (c_in(c_Pair(X0,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_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f1370])).
% 0.14/5.44 fof(f2866,plain,(
% 0.14/5.44 ![X0]: (c_in(c_Pair(v_y,v_xaa(X0),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_x,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f1371])).
% 0.14/5.44 fof(f2867,plain,(
% 0.14/5.44 ![X0]: (~c_in(c_Pair(v_z,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_xb,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f1372])).
% 0.14/5.44 fof(f2868,plain,(
% 0.14/5.44 ![V_V,V_U]: ((![V_W]: (c_in(c_Pair(V_V,v_xa(V_U,V_V,V_W),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(V_U,V_W,t_a,t_a),v_r,tc_prod(t_a,t_a))))|~c_in(c_Pair(V_U,V_V,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(miniscoping,[status(thm)],[f1373])).
% 0.14/5.44 fof(f2869,plain,(
% 0.14/5.44 ![X0,X1,X2]: (c_in(c_Pair(X0,v_xa(X1,X0,X2),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f2868])).
% 0.14/5.44 fof(f2870,plain,(
% 0.14/5.44 ![V_U,V_V]: ((![V_W]: (c_in(c_Pair(V_W,v_xa(V_U,V_V,V_W),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(V_U,V_W,t_a,t_a),v_r,tc_prod(t_a,t_a))))|~c_in(c_Pair(V_U,V_V,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(miniscoping,[status(thm)],[f1374])).
% 0.14/5.44 fof(f2871,plain,(
% 0.14/5.44 ![X0,X1,X2]: (c_in(c_Pair(X0,v_xa(X1,X2,X0),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(cnf_transformation,[status(thm)],[f2870])).
% 0.14/5.44 fof(f2881,plain,(
% 0.14/5.44 ![X0,X1]: (~c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_xb,v_xa(X0,v_z,X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f2869,f2867])).
% 0.14/5.44 fof(f2883,plain,(
% 0.14/5.44 ![X0]: (~c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_xb,v_xa(v_y,v_z,X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f2881,f2863])).
% 0.14/5.44 fof(f2885,plain,(
% 0.14/5.44 ![X0,X1]: (~c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,v_xa(v_y,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_xb,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f2883,f2861])).
% 0.14/5.44 fof(f2918,plain,(
% 0.14/5.44 ![X0,X1]: (~c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_xb,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))|~c_in(c_Pair(X1,v_xa(v_y,v_z,X0),t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f2885,f1806])).
% 0.14/5.44 fof(f2927,plain,(
% 0.14/5.44 ![X0]: (~c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_xb,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),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(resolution,[status(thm)],[f2918,f2871])).
% 0.14/5.44 fof(f2929,plain,(
% 0.14/5.44 ![X0]: (~c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_xb,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_z,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(duplicate_literals_removal,[status(thm)],[f2927])).
% 0.14/5.44 fof(f2930,plain,(
% 0.14/5.44 ![X0]: (~c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_xb,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f2929,f2863])).
% 0.14/5.44 fof(f2937,plain,(
% 0.14/5.44 ~c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.14/5.44 inference(resolution,[status(thm)],[f2930,f2865])).
% 0.14/5.44 fof(f2941,plain,(
% 0.14/5.44 ~c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f2937,f2866])).
% 0.14/5.44 fof(f2949,plain,(
% 0.14/5.44 $false),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f2941,f2864])).
% 0.14/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.47 % Elapsed time: 0.088386 seconds
% 0.14/5.47 % CPU time: 0.311933 seconds
% 0.14/5.47 % Total memory used: 153.603 MB
% 0.14/5.47 % Net memory used: 153.113 MB
%------------------------------------------------------------------------------