TSTP Solution File: ANA014-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ANA014-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 19:21:30 EDT 2022
% Result : Unsatisfiable 0.47s 1.00s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA014-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 05:59:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/1.00 ============================== Prover9 ===============================
% 0.47/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.47/1.00 Process 2759 was started by sandbox2 on n003.cluster.edu,
% 0.47/1.00 Fri Jul 8 05:59:13 2022
% 0.47/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2605_n003.cluster.edu".
% 0.47/1.00 ============================== end of head ===========================
% 0.47/1.00
% 0.47/1.00 ============================== INPUT =================================
% 0.47/1.00
% 0.47/1.00 % Reading from file /tmp/Prover9_2605_n003.cluster.edu
% 0.47/1.00
% 0.47/1.00 set(prolog_style_variables).
% 0.47/1.00 set(auto2).
% 0.47/1.00 % set(auto2) -> set(auto).
% 0.47/1.00 % set(auto) -> set(auto_inference).
% 0.47/1.00 % set(auto) -> set(auto_setup).
% 0.47/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.47/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.47/1.00 % set(auto) -> set(auto_limits).
% 0.47/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.47/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.47/1.00 % set(auto) -> set(auto_denials).
% 0.47/1.00 % set(auto) -> set(auto_process).
% 0.47/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.47/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.47/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.47/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.47/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.47/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.47/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.47/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.47/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.47/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.47/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.47/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.47/1.00 % set(auto2) -> assign(stats, some).
% 0.47/1.00 % set(auto2) -> clear(echo_input).
% 0.47/1.00 % set(auto2) -> set(quiet).
% 0.47/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.47/1.00 % set(auto2) -> clear(print_given).
% 0.47/1.00 assign(lrs_ticks,-1).
% 0.47/1.00 assign(sos_limit,10000).
% 0.47/1.00 assign(order,kbo).
% 0.47/1.00 set(lex_order_vars).
% 0.47/1.00 clear(print_given).
% 0.47/1.00
% 0.47/1.00 % formulas(sos). % not echoed (13 formulas)
% 0.47/1.00
% 0.47/1.00 ============================== end of input ==========================
% 0.47/1.00
% 0.47/1.00 % From the command line: assign(max_seconds, 300).
% 0.47/1.00
% 0.47/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.47/1.00
% 0.47/1.00 % Formulas that are not ordinary clauses:
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% 0.47/1.00 ============================== end of process non-clausal formulas ===
% 0.47/1.00
% 0.47/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.47/1.00
% 0.47/1.00 ============================== PREDICATE ELIMINATION =================
% 0.47/1.00 1 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ofield(A) # label(clsrel_Ring__and__Field_Oordered__field_0) # label(axiom). [assumption].
% 0.47/1.00 2 class_Ring__and__Field_Oordered__field(t_a) # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 0.47/1.00 Derived: class_Ring__and__Field_Ofield(t_a). [resolve(1,a,2,a)].
% 0.47/1.00 3 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__idom(A) # label(clsrel_Ring__and__Field_Oordered__field_34) # label(axiom). [assumption].
% 0.47/1.00 Derived: class_Ring__and__Field_Oordered__idom(t_a). [resolve(3,a,2,a)].
% 0.47/1.00 4 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__field_58) # label(axiom). [assumption].
% 0.47/1.00 Derived: class_Orderings_Oorder(t_a). [resolve(4,a,2,a)].
% 0.47/1.00 5 class_Ring__and__Field_Ofield(t_a). [resolve(1,a,2,a)].
% 0.47/1.00 6 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_12) # label(axiom). [assumption].
% 0.47/1.00 7 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ofield_21) # label(axiom). [assumption].
% 0.47/1.00 8 -class_Ring__and__Field_Ofield(A) | B = c_0 | c_times(c_HOL_Oinverse(B,A),B,A) = c_1 # label(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.47/1.00 Derived: class_OrderedGroup_Omonoid__mult(t_a). [resolve(5,a,6,a)].
% 0.47/1.00 Derived: class_OrderedGroup_Osemigroup__mult(t_a). [resolve(5,a,7,a)].
% 0.47/1.00 Derived: A = c_0 | c_times(c_HOL_Oinverse(A,t_a),A,t_a) = c_1. [resolve(5,a,8,a)].
% 0.47/1.00 9 class_Orderings_Oorder(t_a). [resolve(4,a,2,a)].
% 0.47/1.00 10 -class_Orderings_Oorder(A) | c_lessequals(B,B,A) # label(cls_Orderings_Oorder__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.47/1.00 Derived: c_lessequals(A,A,t_a). [resolve(9,a,10,a)].
% 0.47/1.00 11 class_OrderedGroup_Omonoid__mult(t_a). [resolve(5,a,6,a)].
% 0.47/1.00 12 -class_OrderedGroup_Omonoid__mult(A) | c_times(c_1,B,A) = B # label(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.47/1.00 Derived: c_times(c_1,A,t_a) = A. [resolve(11,a,12,a)].
% 0.47/1.00 13 class_OrderedGroup_Osemigroup__mult(t_a). [resolve(5,a,7,a)].
% 0.47/1.00 14 -class_OrderedGroup_Osemigroup__mult(A) | c_times(c_times(B,C,A),D,A) = c_times(B,c_times(C,D,A),A) # label(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) # label(axiom). [assumption].
% 0.47/1.00 Derived: c_times(c_times(A,B,t_a),C,t_a) = c_times(A,c_times(B,C,t_a),t_a). [resolve(13,a,14,a)].
% 0.47/1.00 15 class_Ring__and__Field_Oordered__idom(t_a). [resolve(3,a,2,a)].
% 0.47/1.00 16 -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs(c_times(B,C,A),A) = c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A) # label(cls_Ring__and__Field_Oabs__mult_0) # label(axiom). [assumption].
% 0.47/1.00 Derived: c_HOL_Oabs(c_times(A,B,t_a),t_a) = c_times(c_HOL_Oabs(A,t_a),c_HOL_Oabs(B,t_a),t_a). [resolve(15,a,16,a)].
% 0.47/1.00
% 0.47/1.00 ============================== end predicate elimination =============
% 0.47/1.00
% 0.47/1.00 Auto_denials: (non-Horn, no changes).
% 0.47/1.00
% 0.47/1.00 Term ordering decisions:
% 0.47/1.00 Function symbol KB weights: t_a=1. c_1=1. c_0=1. v_c=1. c_HOL_Oabs=1. c_HOL_Oinverse=1. v_f=1. v_x=1. c_times=1.
% 0.47/1.00
% 0.47/1.00 ============================== end of process initial clauses ========
% 0.47/1.00
% 0.47/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.47/1.00
% 0.47/1.00 ============================== end of clauses for search =============
% 0.47/1.00
% 0.47/1.00 ============================== SEARCH ================================
% 0.47/1.00
% 0.47/1.00 % Starting search at 0.01 seconds.
% 0.47/1.00
% 0.47/1.00 ============================== PROOF =================================
% 0.47/1.00 % SZS status Unsatisfiable
% 0.47/1.00 % SZS output start Refutation
% 0.47/1.00
% 0.47/1.00 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.47/1.00 % Length of proof is 29.
% 0.47/1.00 % Level of proof is 6.
% 0.47/1.00 % Maximum clause weight is 22.000.
% 0.47/1.00 % Given clauses 10.
% 0.47/1.00
% 0.47/1.00 1 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ofield(A) # label(clsrel_Ring__and__Field_Oordered__field_0) # label(axiom). [assumption].
% 0.47/1.00 2 class_Ring__and__Field_Oordered__field(t_a) # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 0.47/1.00 3 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__idom(A) # label(clsrel_Ring__and__Field_Oordered__field_34) # label(axiom). [assumption].
% 0.47/1.00 4 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__field_58) # label(axiom). [assumption].
% 0.47/1.00 5 class_Ring__and__Field_Ofield(t_a). [resolve(1,a,2,a)].
% 0.47/1.00 6 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_12) # label(axiom). [assumption].
% 0.47/1.00 7 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ofield_21) # label(axiom). [assumption].
% 0.47/1.00 8 -class_Ring__and__Field_Ofield(A) | B = c_0 | c_times(c_HOL_Oinverse(B,A),B,A) = c_1 # label(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.47/1.00 9 class_Orderings_Oorder(t_a). [resolve(4,a,2,a)].
% 0.47/1.00 10 -class_Orderings_Oorder(A) | c_lessequals(B,B,A) # label(cls_Orderings_Oorder__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.47/1.00 11 class_OrderedGroup_Omonoid__mult(t_a). [resolve(5,a,6,a)].
% 0.47/1.00 12 -class_OrderedGroup_Omonoid__mult(A) | c_times(c_1,B,A) = B # label(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.47/1.00 13 class_OrderedGroup_Osemigroup__mult(t_a). [resolve(5,a,7,a)].
% 0.47/1.00 14 -class_OrderedGroup_Osemigroup__mult(A) | c_times(c_times(B,C,A),D,A) = c_times(B,c_times(C,D,A),A) # label(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) # label(axiom). [assumption].
% 0.47/1.00 15 class_Ring__and__Field_Oordered__idom(t_a). [resolve(3,a,2,a)].
% 0.47/1.00 16 -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs(c_times(B,C,A),A) = c_times(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A) # label(cls_Ring__and__Field_Oabs__mult_0) # label(axiom). [assumption].
% 0.47/1.00 17 v_c != c_0 # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.47/1.00 18 -c_lessequals(c_HOL_Oabs(v_f(v_x(A)),t_a),c_times(A,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(A)),t_a),t_a),t_a),t_a) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.47/1.00 19 A = c_0 | c_times(c_HOL_Oinverse(A,t_a),A,t_a) = c_1. [resolve(5,a,8,a)].
% 0.47/1.00 20 c_0 = A | c_times(c_HOL_Oinverse(A,t_a),A,t_a) = c_1. [copy(19),flip(a)].
% 0.47/1.00 21 c_lessequals(A,A,t_a). [resolve(9,a,10,a)].
% 0.47/1.00 22 c_times(c_1,A,t_a) = A. [resolve(11,a,12,a)].
% 0.47/1.00 23 c_times(c_times(A,B,t_a),C,t_a) = c_times(A,c_times(B,C,t_a),t_a). [resolve(13,a,14,a)].
% 0.47/1.00 24 c_HOL_Oabs(c_times(A,B,t_a),t_a) = c_times(c_HOL_Oabs(A,t_a),c_HOL_Oabs(B,t_a),t_a). [resolve(15,a,16,a)].
% 0.47/1.00 25 c_times(c_HOL_Oabs(A,t_a),c_HOL_Oabs(B,t_a),t_a) = c_HOL_Oabs(c_times(A,B,t_a),t_a). [copy(24),flip(a)].
% 0.47/1.00 26 -c_lessequals(c_HOL_Oabs(v_f(v_x(A)),t_a),c_times(A,c_HOL_Oabs(c_times(v_c,v_f(v_x(A)),t_a),t_a),t_a),t_a). [back_rewrite(18),rewrite([25(13)])].
% 0.47/1.00 27 c_0 = A | c_times(c_HOL_Oinverse(A,t_a),c_times(A,B,t_a),t_a) = B. [para(20(b,1),23(a,1,1)),rewrite([22(5)]),flip(b)].
% 0.47/1.00 34 -c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(A,t_a))),t_a),c_HOL_Oabs(c_times(A,c_times(v_c,v_f(v_x(c_HOL_Oabs(A,t_a))),t_a),t_a),t_a),t_a). [para(25(a,1),26(a,2))].
% 0.47/1.00 44 $F. [para(27(b,1),34(a,2,1)),flip(a),unit_del(a,17),unit_del(b,21)].
% 0.47/1.00
% 0.47/1.00 % SZS output end Refutation
% 0.47/1.00 ============================== end of proof ==========================
% 0.47/1.00
% 0.47/1.00 ============================== STATISTICS ============================
% 0.47/1.00
% 0.47/1.00 Given=10. Generated=48. Kept=25. proofs=1.
% 0.47/1.00 Usable=10. Sos=12. Demods=4. Limbo=2, Disabled=24. Hints=0.
% 0.47/1.00 Megabytes=0.08.
% 0.47/1.00 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.47/1.00
% 0.47/1.00 ============================== end of statistics =====================
% 0.47/1.00
% 0.47/1.00 ============================== end of search =========================
% 0.47/1.00
% 0.47/1.00 THEOREM PROVED
% 0.47/1.00 % SZS status Unsatisfiable
% 0.47/1.00
% 0.47/1.00 Exiting with 1 proof.
% 0.47/1.00
% 0.47/1.00 Process 2759 exit (max_proofs) Fri Jul 8 05:59:13 2022
% 0.47/1.00 Prover9 interrupted
%------------------------------------------------------------------------------