%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ANA023-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 12:55:08 PM UTC 2026
% Result : Unsatisfiable 3.34s 0.88s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 13 RR)
% Number of literals : 19 ( 18 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi9,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_OrderedGroup_Opordered__ab__group__add(T),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi10,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h0,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = true,
inference(hyper_resolution,[status(thm)],[hi9,hi10]) ).
cnf(hi1,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a),true,ifeq(c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a),true,c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi4,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h3,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b) = true,
inference(hyper_resolution,[status(thm)],[hi1,h0,hi4]) ).
cnf(hi8,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(T),true,class_Orderings_Olinorder(T),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h1,plain,
class_Orderings_Olinorder(t_b) = true,
inference(hyper_resolution,[status(thm)],[hi8,hi10]) ).
cnf(hi6,axiom,
ifeq(class_Orderings_Olinorder(T),true,class_Orderings_Oorder(T),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h4,plain,
class_Orderings_Oorder(t_b) = true,
inference(hyper_resolution,[status(thm)],[hi6,h1]) ).
cnf(hi3,axiom,
ifeq(class_Orderings_Oorder(T_a),true,ifeq(c_lessequals(V_x,V_y,T_a),true,ifeq(c_lessequals(V_y,V_z,T_a),true,c_lessequals(V_x,V_z,T_a),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi5,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h6,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_f(v_x),t_b) = true,
inference(hyper_resolution,[status(thm)],[hi3,h4,h3,hi5]) ).
cnf(hi2,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(T_a),true,ifeq(c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a),true,c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) = true,
inference(hyper_resolution,[status(thm)],[hi2,h0,h6]) ).
cnf(t30,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(goal_0,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t30]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA023-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n002.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 : Fri Sep 25 05:49:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.34/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.34/0.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------