%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL121-2 : 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 : n009.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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL121-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:12:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![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)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![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)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![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)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,axiom,(
% 0.14/0.40 (![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)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 c_Comb_Odiamond(v_r,t_a) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 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)) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 (![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)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 (![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)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 (![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)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.40 fof(f12,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.40 fof(f14,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~c_in(X0,X1,tc_prod(X2,X2))|c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 c_Comb_Odiamond(v_r,t_a)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 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))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f23,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f31,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f17,f23])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f14,f18])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f37,f19])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f31,f22])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f57,f20])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 ![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)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f61,f15])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 ~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))|~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))),
% 0.14/0.40 inference(resolution,[status(thm)],[f66,f40])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 ![X0]: (~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))|~c_Comb_Odiamond(v_r,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(X0,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f68,f12])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 ![X0]: (~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))|~c_in(c_Pair(X0,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X0,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)))),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f71,f18])).
% 0.14/0.40 fof(f95,plain,(
% 0.14/0.40 ~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))|~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))),
% 0.14/0.40 inference(resolution,[status(thm)],[f74,f19])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 ~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))),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f95])).
% 0.14/0.40 fof(f97,plain,(
% 0.14/0.40 ~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))),
% 0.14/0.40 inference(resolution,[status(thm)],[f96,f21])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f97,f20])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.051036 seconds
% 0.14/0.42 % CPU time: 0.185961 seconds
% 0.14/0.42 % Total memory used: 58.693 MB
% 0.14/0.42 % Net memory used: 58.117 MB
%------------------------------------------------------------------------------