%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA012-1 : 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 : 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 12:02:29 PM UTC 2026
% Result : Unsatisfiable 244.11s 31.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA012-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 13:22:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.25/0.50 % Drodi V4.1.1
% 244.11/31.43 % Refutation found
% 244.11/31.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 244.11/31.43 % SZS output start CNFRefutation for theBenchmark
% 244.11/31.43 fof(f1066,axiom,(
% 244.11/31.43 (![T_a,V_a]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)| c_0 != c_HOL_Oabs(V_a,T_a)| V_a = c_0 ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f1322,axiom,(
% 244.11/31.43 (![T_a,V_a]: (( ~ class_Ring__and__Field_Ofield(T_a)| V_a = c_0| c_times(c_HOL_Oinverse(V_a,T_a),V_a,T_a) = c_1 ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f1689,axiom,(
% 244.11/31.43 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2312,axiom,(
% 244.11/31.43 (![T]: (( ~ class_Ring__and__Field_Olordered__ring(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2339,axiom,(
% 244.11/31.43 (![T]: (( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T)| class_Orderings_Oorder(T) ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2356,axiom,(
% 244.11/31.43 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_Ring__and__Field_Ofield(T) ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2385,axiom,(
% 244.11/31.43 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_Ring__and__Field_Oordered__comm__semiring__strict(T) ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2394,axiom,(
% 244.11/31.43 (![T]: (( ~ class_Ring__and__Field_Oordered__field(T)| class_Ring__and__Field_Olordered__ring(T) ) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2784,negated_conjecture,(
% 244.11/31.43 v_c != c_0 ),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2785,negated_conjecture,(
% 244.11/31.43 (![V_U]: (~ c_lessequals(c_1,c_times(V_U,c_HOL_Oabs(v_c,t_a),t_a),t_a) ))),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f2786,negated_conjecture,(
% 244.11/31.43 class_Ring__and__Field_Oordered__field(t_a) ),
% 244.11/31.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 244.11/31.43 fof(f4213,plain,(
% 244.11/31.43 ![V_a]: ((![T_a]: (~class_OrderedGroup_Olordered__ab__group__abs(T_a)|~c_0=c_HOL_Oabs(V_a,T_a)))|V_a=c_0)),
% 244.11/31.43 inference(miniscoping,[status(thm)],[f1066])).
% 244.11/31.43 fof(f4214,plain,(
% 244.11/31.43 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_0=c_HOL_Oabs(X1,X0)|X1=c_0)),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f4213])).
% 244.11/31.43 fof(f4601,plain,(
% 244.11/31.43 ![X0,X1]: (~class_Ring__and__Field_Ofield(X0)|X1=c_0|c_times(c_HOL_Oinverse(X1,X0),X1,X0)=c_1)),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f1322])).
% 244.11/31.43 fof(f5108,plain,(
% 244.11/31.43 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 244.11/31.43 inference(miniscoping,[status(thm)],[f1689])).
% 244.11/31.43 fof(f5109,plain,(
% 244.11/31.43 ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f5108])).
% 244.11/31.43 fof(f5750,plain,(
% 244.11/31.43 ![X0]: (~class_Ring__and__Field_Olordered__ring(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2312])).
% 244.11/31.43 fof(f5777,plain,(
% 244.11/31.43 ![X0]: (~class_Ring__and__Field_Oordered__comm__semiring__strict(X0)|class_Orderings_Oorder(X0))),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2339])).
% 244.11/31.43 fof(f5794,plain,(
% 244.11/31.43 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_Ring__and__Field_Ofield(X0))),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2356])).
% 244.11/31.43 fof(f5823,plain,(
% 244.11/31.43 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_Ring__and__Field_Oordered__comm__semiring__strict(X0))),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2385])).
% 244.11/31.43 fof(f5832,plain,(
% 244.11/31.43 ![X0]: (~class_Ring__and__Field_Oordered__field(X0)|class_Ring__and__Field_Olordered__ring(X0))),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2394])).
% 244.11/31.43 fof(f6225,plain,(
% 244.11/31.43 ~v_c=c_0),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2784])).
% 244.11/31.43 fof(f6226,plain,(
% 244.11/31.43 ![X0]: (~c_lessequals(c_1,c_times(X0,c_HOL_Oabs(v_c,t_a),t_a),t_a))),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2785])).
% 244.11/31.43 fof(f6227,plain,(
% 244.11/31.43 class_Ring__and__Field_Oordered__field(t_a)),
% 244.11/31.43 inference(cnf_transformation,[status(thm)],[f2786])).
% 93.10/31.63 fof(f87937,plain,(
% 93.10/31.63 class_Ring__and__Field_Ofield(t_a)),
% 93.10/31.63 inference(resolution,[status(thm)],[f5794,f6227])).
% 93.10/31.63 fof(f87947,plain,(
% 93.10/31.63 ![X0]: (X0=c_0|c_times(c_HOL_Oinverse(X0,t_a),X0,t_a)=c_1)),
% 93.10/31.63 inference(resolution,[status(thm)],[f87937,f4601])).
% 93.10/31.63 fof(f88986,plain,(
% 93.10/31.63 ~c_lessequals(c_1,c_1,t_a)|c_HOL_Oabs(v_c,t_a)=c_0),
% 93.10/31.63 inference(paramodulation,[status(thm)],[f87947,f6226])).
% 93.10/31.63 fof(f106636,plain,(
% 93.10/31.63 class_Ring__and__Field_Oordered__comm__semiring__strict(t_a)),
% 93.10/31.63 inference(resolution,[status(thm)],[f5823,f6227])).
% 93.10/31.63 fof(f106653,plain,(
% 93.10/31.63 class_Orderings_Oorder(t_a)),
% 93.10/31.63 inference(resolution,[status(thm)],[f106636,f5777])).
% 93.10/31.63 fof(f109406,plain,(
% 93.10/31.63 class_Ring__and__Field_Olordered__ring(t_a)),
% 93.10/31.63 inference(resolution,[status(thm)],[f5832,f6227])).
% 93.10/31.63 fof(f109420,plain,(
% 93.10/31.63 class_OrderedGroup_Olordered__ab__group__abs(t_a)),
% 93.10/31.63 inference(resolution,[status(thm)],[f109406,f5750])).
% 93.10/31.63 fof(f109612,plain,(
% 93.10/31.63 ![X0]: (~c_0=c_HOL_Oabs(X0,t_a)|X0=c_0)),
% 93.10/31.63 inference(resolution,[status(thm)],[f109420,f4214])).
% 93.10/31.63 fof(f126742,plain,(
% 93.10/31.63 ![X0]: (c_lessequals(X0,X0,t_a))),
% 93.10/31.63 inference(resolution,[status(thm)],[f5109,f106653])).
% 93.10/31.63 fof(f132439,plain,(
% 93.10/31.63 c_HOL_Oabs(v_c,t_a)=c_0),
% 93.10/31.63 inference(forward_subsumption_resolution,[status(thm)],[f88986,f126742])).
% 93.10/31.63 fof(f132440,plain,(
% 93.10/31.63 v_c=c_0),
% 93.10/31.63 inference(resolution,[status(thm)],[f132439,f109612])).
% 93.10/31.63 fof(f132447,plain,(
% 93.10/31.63 $false),
% 93.10/31.63 inference(forward_subsumption_resolution,[status(thm)],[f132440,f6225])).
% 93.10/31.63 % SZS output end CNFRefutation for theBenchmark.p
% 5.96/31.71 % Elapsed time: 31.336396 seconds
% 5.96/31.71 % CPU time: 246.437380 seconds
% 5.96/31.71 % Total memory used: 1.394 GB
% 5.96/31.71 % Net memory used: 1.309 GB
%------------------------------------------------------------------------------