%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET821-2 : 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 : 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 02:12:39 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET821-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n010.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 05:39:57 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.60 % Refutation found
% 0.10/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.60 fof(f1,axiom,(
% 0.10/0.60 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_less(V_x,V_x,T_a) ) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f2,axiom,(
% 0.10/0.60 (![V_c,V_A,T_a]: (( ~ c_in(V_c,V_A,T_a)| ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f3,axiom,(
% 0.10/0.60 (![V_c,V_A,T_a]: (( c_in(V_c,V_A,T_a)| c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f4,axiom,(
% 0.10/0.60 (![V_a,V_B,T_a,V_b]: (( ~ c_in(V_a,V_B,T_a)| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f5,axiom,(
% 0.10/0.60 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f6,axiom,(
% 0.10/0.60 (![V_a,V_b,V_A,T_a]: (( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)| c_in(V_a,V_A,T_a)| V_a = V_b ) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f7,negated_conjecture,(
% 0.10/0.60 c_less(v_a,v_b,tc_IntDef_Oint) ),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f8,negated_conjecture,(
% 0.10/0.60 c_less(v_b,v_c,tc_IntDef_Oint) ),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f9,negated_conjecture,(
% 0.10/0.60 (![V_U]: (( c_in(v_c,V_U,tc_IntDef_Oint)| ~ c_in(v_b,V_U,tc_IntDef_Oint)| c_in(v_a,V_U,tc_IntDef_Oint) ) ))),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f10,axiom,(
% 0.10/0.60 class_Orderings_Oorder(tc_IntDef_Oint) ),
% 0.10/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.60 fof(f11,plain,(
% 0.10/0.60 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: ~c_less(V_x,V_x,T_a)))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.60 fof(f12,plain,(
% 0.10/0.60 ![X0,X1]: (~class_Orderings_Oorder(X0)|~c_less(X1,X1,X0))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.60 fof(f13,plain,(
% 0.10/0.60 ![X0,X1,X2]: (~c_in(X0,X1,X2)|~c_in(X0,c_uminus(X1,tc_set(X2)),X2))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.60 fof(f14,plain,(
% 0.10/0.60 ![X0,X1,X2]: (c_in(X0,X1,X2)|c_in(X0,c_uminus(X1,tc_set(X2)),X2))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.60 fof(f15,plain,(
% 0.10/0.60 ![V_a,V_B,T_a]: (~c_in(V_a,V_B,T_a)|(![V_b]: c_in(V_a,c_insert(V_b,V_B,T_a),T_a)))),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.60 fof(f16,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.60 fof(f17,plain,(
% 0.10/0.60 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.60 fof(f18,plain,(
% 0.10/0.60 ![V_a,V_b]: ((![V_A,T_a]: (~c_in(V_a,c_insert(V_b,V_A,T_a),T_a)|c_in(V_a,V_A,T_a)))|V_a=V_b)),
% 0.10/0.60 inference(miniscoping,[status(thm)],[f6])).
% 0.10/0.60 fof(f19,plain,(
% 0.10/0.60 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.60 fof(f20,plain,(
% 0.10/0.60 c_less(v_a,v_b,tc_IntDef_Oint)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.60 fof(f21,plain,(
% 0.10/0.60 c_less(v_b,v_c,tc_IntDef_Oint)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.60 fof(f22,plain,(
% 0.10/0.60 ![X0]: (c_in(v_c,X0,tc_IntDef_Oint)|~c_in(v_b,X0,tc_IntDef_Oint)|c_in(v_a,X0,tc_IntDef_Oint))),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.60 fof(f23,plain,(
% 0.10/0.60 class_Orderings_Oorder(tc_IntDef_Oint)),
% 0.10/0.60 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.60 fof(f24,plain,(
% 0.10/0.60 ![X0]: (~c_in(v_a,X0,tc_IntDef_Oint)|c_in(v_c,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)|~c_in(v_b,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint))),
% 0.10/0.60 inference(resolution,[status(thm)],[f13,f22])).
% 0.10/0.60 fof(f25,plain,(
% 0.10/0.60 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|~c_in(v_a,X0,tc_IntDef_Oint)|c_in(v_c,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint))),
% 0.10/0.60 inference(resolution,[status(thm)],[f14,f24])).
% 0.10/0.60 fof(f27,plain,(
% 0.10/0.60 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|~c_in(v_a,X0,tc_IntDef_Oint)|~c_in(v_c,X0,tc_IntDef_Oint))),
% 0.10/0.60 inference(resolution,[status(thm)],[f25,f13])).
% 0.10/0.60 fof(f31,plain,(
% 0.10/0.60 ![X0]: (c_in(v_b,c_insert(v_a,X0,tc_IntDef_Oint),tc_IntDef_Oint)|~c_in(v_c,c_insert(v_a,X0,tc_IntDef_Oint),tc_IntDef_Oint))),
% 0.10/0.61 inference(resolution,[status(thm)],[f27,f17])).
% 0.10/0.61 fof(f34,plain,(
% 0.10/0.61 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|v_b=v_a|~c_in(v_c,c_insert(v_a,X0,tc_IntDef_Oint),tc_IntDef_Oint))),
% 0.10/0.61 inference(resolution,[status(thm)],[f19,f31])).
% 0.10/0.61 fof(f39,plain,(
% 0.10/0.61 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|v_b=v_a|~c_in(v_c,X0,tc_IntDef_Oint))),
% 0.10/0.61 inference(resolution,[status(thm)],[f34,f16])).
% 0.10/0.61 fof(f42,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|~c_in(v_c,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)|~c_in(v_b,X0,tc_IntDef_Oint))),
% 0.10/0.61 inference(resolution,[status(thm)],[f39,f13])).
% 0.10/0.61 fof(f44,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|~c_in(v_b,X0,tc_IntDef_Oint)|c_in(v_c,X0,tc_IntDef_Oint))),
% 0.10/0.61 inference(resolution,[status(thm)],[f42,f14])).
% 0.10/0.61 fof(f51,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint))),
% 0.10/0.61 inference(resolution,[status(thm)],[f44,f17])).
% 0.10/0.61 fof(f52,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|c_in(v_c,X0,tc_IntDef_Oint)|v_c=v_b)),
% 0.10/0.61 inference(resolution,[status(thm)],[f51,f19])).
% 0.10/0.61 fof(f53,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|v_c=v_b|v_b=v_a|~c_in(v_b,X0,tc_IntDef_Oint))),
% 0.10/0.61 inference(resolution,[status(thm)],[f52,f42])).
% 0.10/0.61 fof(f54,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|v_c=v_b|c_in(v_b,X0,tc_IntDef_Oint)|v_b=v_a)),
% 0.10/0.61 inference(resolution,[status(thm)],[f52,f34])).
% 0.10/0.61 fof(f57,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|v_c=v_b|~c_in(v_b,X0,tc_IntDef_Oint))),
% 0.10/0.61 inference(duplicate_literals_removal,[status(thm)],[f53])).
% 0.10/0.61 fof(f58,plain,(
% 0.10/0.61 ![X0]: (v_b=v_a|v_c=v_b|c_in(v_b,X0,tc_IntDef_Oint))),
% 0.10/0.61 inference(duplicate_literals_removal,[status(thm)],[f54])).
% 0.10/0.61 fof(f59,plain,(
% 0.10/0.61 v_b=v_a|v_c=v_b),
% 0.10/0.61 inference(forward_subsumption_resolution,[status(thm)],[f58,f57])).
% 0.10/0.61 fof(f64,plain,(
% 0.10/0.61 c_less(v_b,v_b,tc_IntDef_Oint)|v_c=v_b),
% 0.10/0.61 inference(paramodulation,[status(thm)],[f59,f20])).
% 0.10/0.61 fof(f65,plain,(
% 0.10/0.61 v_c=v_b|~class_Orderings_Oorder(tc_IntDef_Oint)),
% 0.10/0.61 inference(resolution,[status(thm)],[f64,f12])).
% 0.10/0.61 fof(f80,plain,(
% 0.10/0.61 c_less(v_c,v_c,tc_IntDef_Oint)),
% 0.10/0.61 inference(backward_demodulation,[status(thm)],[f88,f21])).
% 0.10/0.61 fof(f88,plain,(
% 0.10/0.61 v_c=v_b),
% 0.10/0.61 inference(forward_subsumption_resolution,[status(thm)],[f65,f23])).
% 0.10/0.61 fof(f97,plain,(
% 0.10/0.61 ~class_Orderings_Oorder(tc_IntDef_Oint)),
% 0.10/0.61 inference(resolution,[status(thm)],[f80,f12])).
% 0.10/0.61 fof(f98,plain,(
% 0.10/0.61 $false),
% 0.10/0.61 inference(forward_subsumption_resolution,[status(thm)],[f97,f23])).
% 0.10/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.63 % Elapsed time: 0.047606 seconds
% 0.14/0.63 % CPU time: 0.145964 seconds
% 0.14/0.63 % Total memory used: 63.171 MB
% 0.14/0.63 % Net memory used: 62.797 MB
%------------------------------------------------------------------------------