%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT274-2 : 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 : n020.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 01:03:28 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 23:25:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![V_S,V_A,V_a,V_L]: (( ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)| c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)| V_S = c_emptyset ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![V_L,V_S,V_A,V_a]: (( ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)| V_S = c_emptyset ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![V_a,V_S,V_A,V_L]: (( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)| V_S = c_emptyset ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (![V_a,V_S,V_L,V_A]: (( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| V_S = c_emptyset ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,axiom,(
% 0.12/0.40 (![V_x,V_S,T_a,V_r,V_a,V_b]: (( ~ c_in(V_x,V_S,T_a)| ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))| c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f6,axiom,(
% 0.12/0.40 (![V_x,V_S,T_a,V_r,V_a,V_b]: (( ~ c_in(V_x,V_S,T_a)| ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))| c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f7,axiom,(
% 0.12/0.40 (![V_x,V_b,T_a,V_r,V_a]: (( ~ c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| c_in(V_x,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),T_a) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,axiom,(
% 0.12/0.40 (![V_S,V_L,V_y]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_y,V_S,t_a)| c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (![V_S,V_L,V_z]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_z,v_A,t_a)| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f10,axiom,(
% 0.12/0.40 (![V_S,V_L,V_z]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_z,v_A,t_a)| ~ c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,negated_conjecture,(
% 0.12/0.40 c_in(v_b,v_A,t_a) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,negated_conjecture,(
% 0.12/0.40 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,negated_conjecture,(
% 0.12/0.40 v_S != c_emptyset ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,negated_conjecture,(
% 0.12/0.40 c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,negated_conjecture,(
% 0.12/0.40 ~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,plain,(
% 0.12/0.40 ![V_S]: ((![V_L]: ((![V_a]: (((![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a)))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)))|c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)))|c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)))|V_S=c_emptyset)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.40 fof(f17,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(t_a))|c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)|c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)|X0=c_emptyset)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f18,plain,(
% 0.12/0.40 ![V_S]: ((![V_a]: ((![V_L]: ((~c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|(![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a))))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)))|V_S=c_emptyset)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.12/0.40 fof(f19,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~c_in(c_Pair(v_sko__4mk(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X1,X2,tc_set(t_a))|c_in(c_Pair(X3,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)|X1=c_emptyset)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.40 fof(f20,plain,(
% 0.12/0.40 ![V_S]: ((![V_L]: ((![V_a]: ((~c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|(![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a))))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)))|V_S=c_emptyset)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.40 fof(f21,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X1,X2,tc_set(t_a))|c_in(c_Pair(X0,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(X3,X1,v_r),X1,t_a)|X1=c_emptyset)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f22,plain,(
% 0.12/0.40 ![V_S]: ((![V_a,V_L]: (((~c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)))|(![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a))))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))))|V_S=c_emptyset)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.12/0.40 fof(f23,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(X2,X1,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X1,X3,tc_set(t_a))|c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|X1=c_emptyset)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.40 fof(f24,plain,(
% 0.12/0.40 ![V_x,T_a,V_r,V_a]: ((![V_S]: (~c_in(V_x,V_S,T_a)|(![V_b]: ~c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a)))))|c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f5])).
% 0.12/0.40 fof(f25,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))|c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.40 fof(f26,plain,(
% 0.12/0.40 ![V_x,T_a,V_r,V_b]: ((![V_S]: (~c_in(V_x,V_S,T_a)|(![V_a]: ~c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a)))))|c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.40 fof(f27,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))|c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.40 fof(f28,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4]: (~c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))|~c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2))|c_in(X0,c_Tarski_Ointerval(X3,X4,X1,X2),X2))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f29,plain,(
% 0.12/0.40 ![V_L,V_y]: ((![V_S]: (~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_y,V_S,t_a)))|c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.12/0.40 fof(f30,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,X0,t_a)|c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.40 fof(f31,plain,(
% 0.12/0.40 ![V_S,V_z]: ((![V_L]: ((~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_z,v_A,t_a))|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.40 fof(f32,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,v_A,t_a)|c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(X0,v_r,X2),X0,t_a))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.40 fof(f33,plain,(
% 0.12/0.40 ![V_L,V_z]: ((![V_S]: ((~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_z,v_A,t_a))|~c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f10])).
% 0.12/0.40 fof(f34,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,v_A,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,X2),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)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f35,plain,(
% 0.12/0.40 c_in(v_b,v_A,t_a)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f36,plain,(
% 0.12/0.40 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f37,plain,(
% 0.12/0.40 ~v_S=c_emptyset),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.40 fof(f38,plain,(
% 0.12/0.40 c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f39,plain,(
% 0.12/0.40 ~c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f40,plain,(
% 0.12/0.40 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f28,f39])).
% 0.12/0.40 fof(f46,plain,(
% 0.12/0.40 ![X0,X1]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f32,f35])).
% 0.12/0.40 fof(f47,plain,(
% 0.12/0.40 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.12/0.40 inference(resolution,[status(thm)],[f46,f38])).
% 0.12/0.40 fof(f48,plain,(
% 0.12/0.40 ![X0,X1]: (c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)|v_S=c_emptyset)),
% 0.12/0.40 inference(resolution,[status(thm)],[f17,f36])).
% 0.12/0.40 fof(f49,plain,(
% 0.12/0.40 ![X0,X1]: (c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f48,f37])).
% 0.12/0.40 fof(f50,plain,(
% 0.12/0.40 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f49,f40])).
% 0.12/0.40 fof(f57,plain,(
% 0.12/0.40 ![X0,X1]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f34,f35])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 ![X0,X1]: (~c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),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(v_sko__4mj(v_S,X1,v_r),v_S,t_a)|v_S=c_emptyset)),
% 0.12/0.40 inference(resolution,[status(thm)],[f19,f36])).
% 0.12/0.40 fof(f60,plain,(
% 0.12/0.40 ![X0,X1]: (~c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),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(v_sko__4mj(v_S,X1,v_r),v_S,t_a))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f59,f37])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 ![X0,X1]: (~c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)|v_S=c_emptyset)),
% 0.12/0.40 inference(resolution,[status(thm)],[f21,f36])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 ![X0,X1]: (~c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f61,f37])).
% 0.12/0.40 fof(f63,plain,(
% 0.12/0.40 ![X0,X1]: (~c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(X1,v_S,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|v_S=c_emptyset)),
% 0.12/0.40 inference(resolution,[status(thm)],[f23,f36])).
% 0.12/0.40 fof(f64,plain,(
% 0.12/0.40 ![X0,X1]: (~c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(X1,v_S,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f63,f37])).
% 0.12/0.40 fof(f66,plain,(
% 0.12/0.40 ~c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f60,f40])).
% 0.12/0.40 fof(f68,plain,(
% 0.12/0.40 ~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f62,f40])).
% 0.12/0.40 fof(f72,plain,(
% 0.12/0.40 ![X0]: (c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(v_sko__4mk(v_L,v_S,v_r),X0,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f66,f30])).
% 0.12/0.40 fof(f77,plain,(
% 0.12/0.40 ~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f64,f40])).
% 0.12/0.40 fof(f85,plain,(
% 0.12/0.40 ![X0,X1]: (c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mj(v_S,v_a,v_r),X0,t_a)|~c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),tc_set(t_a)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f68,f25])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 ![X0]: (~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(v_sko__4mk(v_L,v_S,v_r),X0,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f77,f30])).
% 0.12/0.40 fof(f111,plain,(
% 0.12/0.40 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)),
% 0.12/0.40 inference(resolution,[status(thm)],[f85,f36])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f111,f50])).
% 0.12/0.40 fof(f113,plain,(
% 0.12/0.40 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.12/0.40 inference(resolution,[status(thm)],[f112,f47])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 ![X0]: (c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f112,f57])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.12/0.40 inference(resolution,[status(thm)],[f113,f72])).
% 0.12/0.40 fof(f123,plain,(
% 0.12/0.40 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|~c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f122,f46])).
% 0.12/0.40 fof(f125,plain,(
% 0.12/0.40 ~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)),
% 0.12/0.40 inference(resolution,[status(thm)],[f100,f38])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 ~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f125,f112])).
% 0.12/0.40 fof(f133,plain,(
% 0.12/0.40 ![X0,X1]: (~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mj(v_S,v_a,v_r),X0,t_a)|~c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),tc_set(t_a)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f126,f25])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.40 inference(resolution,[status(thm)],[f114,f38])).
% 0.12/0.40 fof(f141,plain,(
% 0.12/0.40 ![X0,X1]: (c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_in(v_sko__4mi(v_S,v_r,v_b),X0,t_a)|~c_lessequals(X0,c_Tarski_Ointerval(v_r,X1,v_b,t_a),tc_set(t_a)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f134,f27])).
% 0.12/0.40 fof(f144,plain,(
% 0.12/0.40 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)),
% 0.12/0.40 inference(resolution,[status(thm)],[f133,f36])).
% 0.12/0.40 fof(f148,plain,(
% 0.12/0.40 ![X0]: (~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(v_sko__4mk(v_L,v_S,v_r),X0,t_a))),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f72,f144])).
% 0.12/0.41 fof(f153,plain,(
% 0.12/0.41 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|~c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.12/0.41 inference(resolution,[status(thm)],[f144,f123])).
% 0.12/0.41 fof(f154,plain,(
% 0.12/0.41 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|~c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f153,f46])).
% 0.12/0.41 fof(f155,plain,(
% 0.12/0.41 ![X0]: (~c_Tarski_OisLub(v_S,v_cl,v_L,t_a)|c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_lessequals(v_S,c_Tarski_Ointerval(v_r,X0,v_b,t_a),tc_set(t_a)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f154,f141])).
% 0.12/0.41 fof(f156,plain,(
% 0.12/0.41 ![X0]: (c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~c_lessequals(v_S,c_Tarski_Ointerval(v_r,X0,v_b,t_a),tc_set(t_a)))),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f155,f38])).
% 0.12/0.41 fof(f164,plain,(
% 0.12/0.41 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)),
% 0.12/0.41 inference(resolution,[status(thm)],[f156,f36])).
% 0.12/0.41 fof(f165,plain,(
% 0.12/0.41 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)),
% 0.12/0.41 inference(resolution,[status(thm)],[f148,f38])).
% 0.12/0.41 fof(f166,plain,(
% 0.12/0.41 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.12/0.41 inference(backward_subsumption_resolution,[status(thm)],[f47,f167])).
% 0.12/0.41 fof(f167,plain,(
% 0.12/0.41 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f165,f164])).
% 0.12/0.41 fof(f168,plain,(
% 0.12/0.41 ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f167,f57])).
% 0.12/0.41 fof(f177,plain,(
% 0.12/0.41 ~c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.41 inference(resolution,[status(thm)],[f168,f38])).
% 0.12/0.41 fof(f184,plain,(
% 0.12/0.41 ![X0,X1]: (~c_in(v_sko__4mi(v_S,v_r,v_b),X0,t_a)|~c_lessequals(X0,c_Tarski_Ointerval(v_r,X1,v_b,t_a),tc_set(t_a)))),
% 0.12/0.41 inference(resolution,[status(thm)],[f177,f27])).
% 0.12/0.41 fof(f208,plain,(
% 0.12/0.41 ~c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.12/0.41 inference(resolution,[status(thm)],[f184,f36])).
% 0.12/0.41 fof(f209,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f208,f166])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.059850 seconds
% 0.12/0.42 % CPU time: 0.262835 seconds
% 0.12/0.42 % Total memory used: 85.446 MB
% 0.12/0.42 % Net memory used: 84.793 MB
%------------------------------------------------------------------------------