%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL102-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:09:09 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL102-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 14:10:36 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.45 fof(f22,axiom,(
% 0.12/0.45 (![V_x,V_y,V_z]: (( ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ))),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f342,axiom,(
% 0.12/0.45 (![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)) ) ))),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f1383,axiom,(
% 0.12/0.45 (![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)) ) ))),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f1385,negated_conjecture,(
% 0.12/0.45 c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f1386,negated_conjecture,(
% 0.12/0.45 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f1387,negated_conjecture,(
% 0.12/0.45 ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.12/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f1411,plain,(
% 0.12/0.45 ![V_x,V_y]: (~c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|(![V_z]: c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f22])).
% 0.12/0.45 fof(f1412,plain,(
% 0.12/0.45 ![X0,X1,X2]: (~c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X0,X2),c_Comb_Ocomb_Oop_A_D_D(X1,X2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f1411])).
% 0.12/0.45 fof(f1848,plain,(
% 0.12/0.45 ![X0,X1,X2]: (~c_in(X0,X1,tc_prod(X2,X2))|c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f342])).
% 0.12/0.45 fof(f2892,plain,(
% 0.12/0.45 ![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)))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f1383])).
% 0.12/0.45 fof(f2893,plain,(
% 0.12/0.45 ![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)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f2892])).
% 0.12/0.45 fof(f2895,plain,(
% 0.12/0.45 c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f1385])).
% 0.12/0.45 fof(f2896,plain,(
% 0.12/0.45 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f1386])).
% 0.12/0.45 fof(f2897,plain,(
% 0.12/0.45 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f1387])).
% 0.12/0.47 fof(f2908,plain,(
% 0.12/0.47 ![X0]: (~c_in(c_Pair(X0,c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.12/0.47 inference(resolution,[status(thm)],[f2893,f2897])).
% 0.12/0.47 fof(f2911,plain,(
% 0.12/0.47 ![X0]: (~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(X0,c_Comb_Ocomb_Oop_A_D_D(v_za,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.12/0.47 inference(resolution,[status(thm)],[f2908,f1848])).
% 0.12/0.47 fof(f2913,plain,(
% 0.12/0.47 ![X0]: (~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(X0,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(X0,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.12/0.47 inference(resolution,[status(thm)],[f2911,f1412])).
% 0.12/0.47 fof(f2914,plain,(
% 0.12/0.47 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.12/0.47 inference(resolution,[status(thm)],[f2913,f2895])).
% 0.12/0.47 fof(f2915,plain,(
% 0.12/0.47 $false),
% 0.12/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2914,f2896])).
% 0.12/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.49 % Elapsed time: 0.129602 seconds
% 0.12/0.49 % CPU time: 0.453793 seconds
% 0.12/0.49 % Total memory used: 156.451 MB
% 0.12/0.49 % Net memory used: 155.878 MB
%------------------------------------------------------------------------------