TSTP Solution File: ANA016-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 19:21:32 EDT 2022
% Result : Unsatisfiable 0.43s 0.97s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 02:52:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/0.97 ============================== Prover9 ===============================
% 0.43/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.97 Process 8973 was started by sandbox2 on n029.cluster.edu,
% 0.43/0.97 Fri Jul 8 02:53:00 2022
% 0.43/0.97 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8820_n029.cluster.edu".
% 0.43/0.97 ============================== end of head ===========================
% 0.43/0.97
% 0.43/0.97 ============================== INPUT =================================
% 0.43/0.97
% 0.43/0.97 % Reading from file /tmp/Prover9_8820_n029.cluster.edu
% 0.43/0.97
% 0.43/0.97 set(prolog_style_variables).
% 0.43/0.97 set(auto2).
% 0.43/0.97 % set(auto2) -> set(auto).
% 0.43/0.97 % set(auto) -> set(auto_inference).
% 0.43/0.97 % set(auto) -> set(auto_setup).
% 0.43/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.97 % set(auto) -> set(auto_limits).
% 0.43/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.97 % set(auto) -> set(auto_denials).
% 0.43/0.97 % set(auto) -> set(auto_process).
% 0.43/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.97 % set(auto2) -> assign(stats, some).
% 0.43/0.97 % set(auto2) -> clear(echo_input).
% 0.43/0.97 % set(auto2) -> set(quiet).
% 0.43/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.97 % set(auto2) -> clear(print_given).
% 0.43/0.97 assign(lrs_ticks,-1).
% 0.43/0.97 assign(sos_limit,10000).
% 0.43/0.97 assign(order,kbo).
% 0.43/0.97 set(lex_order_vars).
% 0.43/0.97 clear(print_given).
% 0.43/0.97
% 0.43/0.97 % formulas(sos). % not echoed (9 formulas)
% 0.43/0.97
% 0.43/0.97 ============================== end of input ==========================
% 0.43/0.97
% 0.43/0.97 % From the command line: assign(max_seconds, 300).
% 0.43/0.97
% 0.43/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.97
% 0.43/0.97 % Formulas that are not ordinary clauses:
% 0.43/0.97
% 0.43/0.97 ============================== end of process non-clausal formulas ===
% 0.43/0.97
% 0.43/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.97
% 0.43/0.97 ============================== PREDICATE ELIMINATION =================
% 0.43/0.97 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].
% 0.43/0.97 2 class_Ring__and__Field_Oordered__field(t_a) # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 0.43/0.97 Derived: class_Ring__and__Field_Ofield(t_a). [resolve(1,a,2,a)].
% 0.43/0.97 3 class_Ring__and__Field_Ofield(t_a). [resolve(1,a,2,a)].
% 0.43/0.97 4 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_12) # label(axiom). [assumption].
% 0.43/0.97 5 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ofield_21) # label(axiom). [assumption].
% 0.43/0.97 6 -class_Ring__and__Field_Ofield(A) | B = c_0 | c_times(B,c_HOL_Oinverse(B,A),A) = c_1 # label(cls_Ring__and__Field_Oright__inverse_0) # label(axiom). [assumption].
% 0.43/0.97 Derived: class_OrderedGroup_Omonoid__mult(t_a). [resolve(3,a,4,a)].
% 0.43/0.97 Derived: class_OrderedGroup_Osemigroup__mult(t_a). [resolve(3,a,5,a)].
% 0.43/0.97 Derived: A = c_0 | c_times(A,c_HOL_Oinverse(A,t_a),t_a) = c_1. [resolve(3,a,6,a)].
% 0.43/0.97 7 class_OrderedGroup_Omonoid__mult(t_a). [resolve(3,a,4,a)].
% 0.43/0.97 8 -class_OrderedGroup_Omonoid__mult(A) | c_times(c_1,B,A) = B # label(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.43/0.97 Derived: c_times(c_1,A,t_a) = A. [resolve(7,a,8,a)].
% 0.43/0.97 9 class_OrderedGroup_Osemigroup__mult(t_a). [resolve(3,a,5,a)].
% 0.43/0.97 10 -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].
% 0.43/0.97 Derived: c_times(c_times(A,B,t_a),C,t_a) = c_times(A,c_times(B,C,t_a),t_a). [resolve(9,a,10,a)].
% 0.43/0.97
% 0.43/0.97 ============================== end predicate elimination =============
% 0.43/0.97
% 0.43/0.97 Auto_denials: (non-Horn, no changes).
% 0.43/0.97
% 0.43/0.97 Term ordering decisions:
% 0.43/0.97
% 0.43/0.97 % Assigning unary symbol v_g kb_weight 0 and highest precedence (9).
% 0.43/0.97 Function symbol KB weights: t_a=1. c_1=1. c_0=1. v_c=1. v_x=1. c_HOL_Oinverse=1. c_times=1. v_g=0.
% 0.43/0.97
% 0.43/0.97 ============================== end of process initial clauses ========
% 0.43/0.97
% 0.43/0.97 ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.97
% 0.43/0.97 ============================== end of clauses for search =============
% 0.43/0.97
% 0.43/0.97 ============================== SEARCH ================================
% 0.43/0.97
% 0.43/0.97 % Starting search at 0.01 seconds.
% 0.43/0.97
% 0.43/0.97 ============================== PROOF =================================
% 0.43/0.97 % SZS status Unsatisfiable
% 0.43/0.97 % SZS output start Refutation
% 0.43/0.97
% 0.43/0.97 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.43/0.97 % Length of proof is 19.
% 0.43/0.97 % Level of proof is 5.
% 0.43/0.97 % Maximum clause weight is 15.000.
% 0.43/0.97 % Given clauses 7.
% 0.43/0.97
% 0.43/0.97 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].
% 0.43/0.97 2 class_Ring__and__Field_Oordered__field(t_a) # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 0.43/0.97 3 class_Ring__and__Field_Ofield(t_a). [resolve(1,a,2,a)].
% 0.43/0.97 4 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_12) # label(axiom). [assumption].
% 0.43/0.97 5 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ofield_21) # label(axiom). [assumption].
% 0.43/0.97 6 -class_Ring__and__Field_Ofield(A) | B = c_0 | c_times(B,c_HOL_Oinverse(B,A),A) = c_1 # label(cls_Ring__and__Field_Oright__inverse_0) # label(axiom). [assumption].
% 0.43/0.97 7 class_OrderedGroup_Omonoid__mult(t_a). [resolve(3,a,4,a)].
% 0.43/0.97 8 -class_OrderedGroup_Omonoid__mult(A) | c_times(c_1,B,A) = B # label(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) # label(axiom). [assumption].
% 0.43/0.97 9 class_OrderedGroup_Osemigroup__mult(t_a). [resolve(3,a,5,a)].
% 0.43/0.97 10 -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].
% 0.43/0.97 11 v_c != c_0 # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.43/0.97 12 v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.43/0.97 13 c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a) != v_g(v_x). [copy(12),flip(a)].
% 0.43/0.97 14 A = c_0 | c_times(A,c_HOL_Oinverse(A,t_a),t_a) = c_1. [resolve(3,a,6,a)].
% 0.43/0.97 15 c_0 = A | c_times(A,c_HOL_Oinverse(A,t_a),t_a) = c_1. [copy(14),flip(a)].
% 0.43/0.97 16 c_times(c_1,A,t_a) = A. [resolve(7,a,8,a)].
% 0.43/0.97 17 c_times(c_times(A,B,t_a),C,t_a) = c_times(A,c_times(B,C,t_a),t_a). [resolve(9,a,10,a)].
% 0.43/0.97 20 c_0 = A | c_times(A,c_times(c_HOL_Oinverse(A,t_a),B,t_a),t_a) = B. [para(15(b,1),17(a,1,1)),rewrite([16(5)]),flip(b)].
% 0.43/0.97 22 $F. [resolve(20,b,13,a),flip(a),unit_del(a,11)].
% 0.43/0.97
% 0.43/0.97 % SZS output end Refutation
% 0.43/0.97 ============================== end of proof ==========================
% 0.43/0.97
% 0.43/0.97 ============================== STATISTICS ============================
% 0.43/0.97
% 0.43/0.97 Given=7. Generated=24. Kept=9. proofs=1.
% 0.43/0.97 Usable=7. Sos=2. Demods=2. Limbo=0, Disabled=15. Hints=0.
% 0.43/0.97 Megabytes=0.04.
% 0.43/0.97 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.97
% 0.43/0.97 ============================== end of statistics =====================
% 0.43/0.97
% 0.43/0.97 ============================== end of search =========================
% 0.43/0.97
% 0.43/0.97 THEOREM PROVED
% 0.43/0.97 % SZS status Unsatisfiable
% 0.43/0.97
% 0.43/0.97 Exiting with 1 proof.
% 0.43/0.97
% 0.43/0.97 Process 8973 exit (max_proofs) Fri Jul 8 02:53:00 2022
% 0.43/0.97 Prover9 interrupted
%------------------------------------------------------------------------------