TSTP Solution File: ANA009-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 19:21:25 EDT 2022
% Result : Unsatisfiable 0.66s 0.97s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 8 04:13:24 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.66/0.97 ============================== Prover9 ===============================
% 0.66/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.66/0.97 Process 9165 was started by sandbox on n011.cluster.edu,
% 0.66/0.97 Fri Jul 8 04:13:25 2022
% 0.66/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9012_n011.cluster.edu".
% 0.66/0.97 ============================== end of head ===========================
% 0.66/0.97
% 0.66/0.97 ============================== INPUT =================================
% 0.66/0.97
% 0.66/0.97 % Reading from file /tmp/Prover9_9012_n011.cluster.edu
% 0.66/0.97
% 0.66/0.97 set(prolog_style_variables).
% 0.66/0.97 set(auto2).
% 0.66/0.97 % set(auto2) -> set(auto).
% 0.66/0.97 % set(auto) -> set(auto_inference).
% 0.66/0.97 % set(auto) -> set(auto_setup).
% 0.66/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.66/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.66/0.97 % set(auto) -> set(auto_limits).
% 0.66/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.66/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.66/0.97 % set(auto) -> set(auto_denials).
% 0.66/0.97 % set(auto) -> set(auto_process).
% 0.66/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.66/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.66/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.66/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.66/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.66/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.66/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.66/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.66/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.66/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.66/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.66/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.66/0.97 % set(auto2) -> assign(stats, some).
% 0.66/0.97 % set(auto2) -> clear(echo_input).
% 0.66/0.97 % set(auto2) -> set(quiet).
% 0.66/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.66/0.97 % set(auto2) -> clear(print_given).
% 0.66/0.97 assign(lrs_ticks,-1).
% 0.66/0.97 assign(sos_limit,10000).
% 0.66/0.97 assign(order,kbo).
% 0.66/0.97 set(lex_order_vars).
% 0.66/0.97 clear(print_given).
% 0.66/0.97
% 0.66/0.97 % formulas(sos). % not echoed (7 formulas)
% 0.66/0.97
% 0.66/0.97 ============================== end of input ==========================
% 0.66/0.97
% 0.66/0.97 % From the command line: assign(max_seconds, 300).
% 0.66/0.97
% 0.66/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.66/0.97
% 0.66/0.97 % Formulas that are not ordinary clauses:
% 0.66/0.97
% 0.66/0.97 ============================== end of process non-clausal formulas ===
% 0.66/0.97
% 0.66/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.66/0.97
% 0.66/0.97 ============================== PREDICATE ELIMINATION =================
% 0.66/0.97 1 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__idom_37) # label(axiom). [assumption].
% 0.66/0.97 2 class_Ring__and__Field_Oordered__idom(t_b) # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 0.66/0.97 Derived: class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b). [resolve(1,a,2,a)].
% 0.66/0.97 3 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_4) # label(axiom). [assumption].
% 0.66/0.97 Derived: class_OrderedGroup_Oab__group__add(t_b). [resolve(3,a,2,a)].
% 0.66/0.97 4 class_OrderedGroup_Oab__group__add(t_b). [resolve(3,a,2,a)].
% 0.66/0.97 5 -class_OrderedGroup_Oab__group__add(A) | c_plus(B,c_uminus(B,A),A) = c_0 # label(cls_OrderedGroup_Oright__minus_0) # label(axiom). [assumption].
% 0.66/0.97 Derived: c_plus(A,c_uminus(A,t_b),t_b) = c_0. [resolve(4,a,5,a)].
% 0.66/0.97 6 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b). [resolve(1,a,2,a)].
% 0.66/0.97 7 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_plus(B,D,A),c_plus(C,D,A),A) # label(cls_OrderedGroup_Oadd__le__cancel__right_1) # label(axiom). [assumption].
% 0.66/0.97 Derived: -c_lessequals(A,B,t_b) | c_lessequals(c_plus(A,C,t_b),c_plus(B,C,t_b),t_b). [resolve(6,a,7,a)].
% 0.66/0.97
% 0.66/0.97 ============================== end predicate elimination =============
% 0.66/0.97
% 0.66/0.97 Auto_denials:
% 0.66/0.97 % copying label cls_conjecture_2 to answer in negative clause
% 0.66/0.97
% 0.66/0.97 Term ordering decisions:
% 0.66/0.97 Function symbol KB weights: t_b=1. c_0=1. v_x=1. c_uminus=1. v_f=1. v_lb=1. c_plus=1.
% 0.66/0.97
% 0.66/0.97 ============================== end of process initial clauses ========
% 0.66/0.97
% 0.66/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.66/0.97
% 0.66/0.97 ============================== end of clauses for search =============
% 0.66/0.97
% 0.66/0.97 ============================== SEARCH ================================
% 0.66/0.97
% 0.66/0.97 % Starting search at 0.01 seconds.
% 0.66/0.97
% 0.66/0.97 ============================== PROOF =================================
% 0.66/0.97 % SZS status Unsatisfiable
% 0.66/0.97 % SZS output start Refutation
% 0.66/0.97
% 0.66/0.97 % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_2.
% 0.66/0.97 % Length of proof is 14.
% 0.66/0.97 % Level of proof is 5.
% 0.66/0.97 % Maximum clause weight is 14.000.
% 0.66/0.97 % Given clauses 5.
% 0.66/0.97
% 0.66/0.97 1 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__idom_37) # label(axiom). [assumption].
% 0.66/0.97 2 class_Ring__and__Field_Oordered__idom(t_b) # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 0.66/0.97 3 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_4) # label(axiom). [assumption].
% 0.66/0.97 4 class_OrderedGroup_Oab__group__add(t_b). [resolve(3,a,2,a)].
% 0.66/0.97 5 -class_OrderedGroup_Oab__group__add(A) | c_plus(B,c_uminus(B,A),A) = c_0 # label(cls_OrderedGroup_Oright__minus_0) # label(axiom). [assumption].
% 0.66/0.97 6 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b). [resolve(1,a,2,a)].
% 0.66/0.97 7 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_plus(B,D,A),c_plus(C,D,A),A) # label(cls_OrderedGroup_Oadd__le__cancel__right_1) # label(axiom). [assumption].
% 0.66/0.97 8 c_lessequals(v_lb(A),v_f(A),t_b) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.66/0.97 9 -c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b) # label(cls_conjecture_2) # label(negated_conjecture) # answer(cls_conjecture_2). [assumption].
% 0.66/0.97 10 c_plus(A,c_uminus(A,t_b),t_b) = c_0. [resolve(4,a,5,a)].
% 0.66/0.97 11 -c_lessequals(A,B,t_b) | c_lessequals(c_plus(A,C,t_b),c_plus(B,C,t_b),t_b). [resolve(6,a,7,a)].
% 0.66/0.97 12 c_lessequals(c_plus(v_lb(A),B,t_b),c_plus(v_f(A),B,t_b),t_b). [hyper(11,a,8,a)].
% 0.66/0.97 14 c_lessequals(c_0,c_plus(v_f(A),c_uminus(v_lb(A),t_b),t_b),t_b). [para(10(a,1),12(a,1))].
% 0.66/0.97 15 $F # answer(cls_conjecture_2). [resolve(14,a,9,a)].
% 0.66/0.97
% 0.66/0.97 % SZS output end Refutation
% 0.66/0.97 ============================== end of proof ==========================
% 0.66/0.97
% 0.66/0.97 ============================== STATISTICS ============================
% 0.66/0.97
% 0.66/0.97 Given=5. Generated=8. Kept=7. proofs=1.
% 0.66/0.97 Usable=5. Sos=0. Demods=1. Limbo=1, Disabled=11. Hints=0.
% 0.66/0.97 Megabytes=0.03.
% 0.66/0.97 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.66/0.97
% 0.66/0.97 ============================== end of statistics =====================
% 0.66/0.97
% 0.66/0.97 ============================== end of search =========================
% 0.66/0.97
% 0.66/0.97 THEOREM PROVED
% 0.66/0.97 % SZS status Unsatisfiable
% 0.66/0.97
% 0.66/0.97 Exiting with 1 proof.
% 0.66/0.97
% 0.66/0.97 Process 9165 exit (max_proofs) Fri Jul 8 04:13:25 2022
% 0.66/0.97 Prover9 interrupted
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