TSTP Solution File: SWV864-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 : Wed Jul 20 21:15:04 EDT 2022
% Result : Unsatisfiable 0.77s 1.08s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV864-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n025.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 : Wed Jun 15 10:29:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.77/1.08 ============================== Prover9 ===============================
% 0.77/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.08 Process 10308 was started by sandbox on n025.cluster.edu,
% 0.77/1.08 Wed Jun 15 10:29:26 2022
% 0.77/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10154_n025.cluster.edu".
% 0.77/1.08 ============================== end of head ===========================
% 0.77/1.08
% 0.77/1.08 ============================== INPUT =================================
% 0.77/1.08
% 0.77/1.08 % Reading from file /tmp/Prover9_10154_n025.cluster.edu
% 0.77/1.08
% 0.77/1.08 set(prolog_style_variables).
% 0.77/1.08 set(auto2).
% 0.77/1.08 % set(auto2) -> set(auto).
% 0.77/1.08 % set(auto) -> set(auto_inference).
% 0.77/1.08 % set(auto) -> set(auto_setup).
% 0.77/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.77/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.08 % set(auto) -> set(auto_limits).
% 0.77/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.08 % set(auto) -> set(auto_denials).
% 0.77/1.08 % set(auto) -> set(auto_process).
% 0.77/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.77/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.77/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.77/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.77/1.08 % set(auto2) -> assign(stats, some).
% 0.77/1.08 % set(auto2) -> clear(echo_input).
% 0.77/1.08 % set(auto2) -> set(quiet).
% 0.77/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.08 % set(auto2) -> clear(print_given).
% 0.77/1.08 assign(lrs_ticks,-1).
% 0.77/1.08 assign(sos_limit,10000).
% 0.77/1.08 assign(order,kbo).
% 0.77/1.08 set(lex_order_vars).
% 0.77/1.08 clear(print_given).
% 0.77/1.08
% 0.77/1.08 % formulas(sos). % not echoed (29 formulas)
% 0.77/1.08
% 0.77/1.08 ============================== end of input ==========================
% 0.77/1.08
% 0.77/1.08 % From the command line: assign(max_seconds, 300).
% 0.77/1.08
% 0.77/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.08
% 0.77/1.08 % Formulas that are not ordinary clauses:
% 0.77/1.08
% 0.77/1.08 ============================== end of process non-clausal formulas ===
% 0.77/1.08
% 0.77/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.08
% 0.77/1.08 ============================== PREDICATE ELIMINATION =================
% 0.77/1.08
% 0.77/1.08 ============================== end predicate elimination =============
% 0.77/1.08
% 0.77/1.08 Auto_denials: (non-Horn, no changes).
% 0.77/1.08
% 0.77/1.08 Term ordering decisions:
% 0.77/1.08 Function symbol KB weights: c_Com_Ocom_OSKIP=1. v_x=1. v_xa=1. t_a=1. v_c=1. v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1=1. v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2=1. v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1=1. v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2=1. c_Com_Ocom_OSemi=1. c_Fun_Oid=1. v_xb=1. v_sko__Hoare__Mirabelle__Xsingle__stateE__1=1. c_Natural_Osko__Natural__Xeval__eq__1__1=1. c_Natural_Osko__Natural__Xevalc__evaln__1__1=1. c_Natural_Osko__Natural__Xevalc__elim__cases__4__1=1. c_Natural_Osko__Natural__Xevaln__elim__cases__4__1=1.
% 0.77/1.08
% 0.77/1.08 ============================== end of process initial clauses ========
% 0.77/1.08
% 0.77/1.08 ============================== CLAUSES FOR SEARCH ====================
% 0.77/1.08
% 0.77/1.08 ============================== end of clauses for search =============
% 0.77/1.08
% 0.77/1.08 ============================== SEARCH ================================
% 0.77/1.08
% 0.77/1.08 % Starting search at 0.01 seconds.
% 0.77/1.08
% 0.77/1.08 ============================== PROOF =================================
% 0.77/1.08 % SZS status Unsatisfiable
% 0.77/1.08 % SZS output start Refutation
% 0.77/1.08
% 0.77/1.08 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.77/1.08 % Length of proof is 14.
% 0.77/1.08 % Level of proof is 6.
% 0.77/1.08 % Maximum clause weight is 11.000.
% 0.77/1.08 % Given clauses 99.
% 0.77/1.08
% 0.77/1.08 1 c_Hoare__Mirabelle_Ostate__not__singleton # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.77/1.08 6 A = v_xa | c_Natural_Oevalc(v_c,v_x,v_xb(A)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.77/1.08 7 v_xa = A | c_Natural_Oevalc(v_c,v_x,v_xb(A)). [copy(6),flip(a)].
% 0.77/1.08 12 -c_Natural_Oevalc(v_c,v_x,v_xa) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.77/1.08 15 v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A) != A | -c_Hoare__Mirabelle_Ostate__not__singleton # label(cls_single__stateE_0) # label(axiom). [assumption].
% 0.77/1.08 16 v_sko__Hoare__Mirabelle__Xsingle__stateE__1(A) != A. [copy(15),unit_del(b,1)].
% 0.77/1.08 18 A != v_xb(A) | A = v_xa # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.77/1.08 19 v_xb(A) != A | v_xa = A. [copy(18),flip(a),flip(b)].
% 0.77/1.08 24 A = B | -c_Natural_Oevalc(C,D,A) | -c_Natural_Oevalc(C,D,B) # label(cls_com__det_0) # label(axiom). [assumption].
% 0.77/1.08 61 v_xb(A) = B | -c_Natural_Oevalc(v_c,v_x,B) | v_xa = A. [resolve(24,b,7,b)].
% 0.77/1.08 415 v_xb(A) = v_xb(B) | v_xa = A | v_xa = B. [resolve(61,b,7,b)].
% 0.77/1.08 447 v_xb(A) = v_xa | v_xa = A. [resolve(415,a,19,a),flip(a),flip(c),merge(c)].
% 0.77/1.08 453 v_xa = A. [para(447(a,1),7(b,3)),merge(b),unit_del(b,12)].
% 0.77/1.08 454 $F. [resolve(453,a,16,a(flip))].
% 0.77/1.08
% 0.77/1.08 % SZS output end Refutation
% 0.77/1.08 ============================== end of proof ==========================
% 0.77/1.08
% 0.77/1.08 ============================== STATISTICS ============================
% 0.77/1.08
% 0.77/1.08 Given=99. Generated=1086. Kept=446. proofs=1.
% 0.77/1.08 Usable=95. Sos=337. Demods=5. Limbo=0, Disabled=42. Hints=0.
% 0.77/1.08 Megabytes=0.39.
% 0.77/1.08 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.77/1.08
% 0.77/1.08 ============================== end of statistics =====================
% 0.77/1.08
% 0.77/1.08 ============================== end of search =========================
% 0.77/1.08
% 0.77/1.08 THEOREM PROVED
% 0.77/1.08 % SZS status Unsatisfiable
% 0.77/1.08
% 0.77/1.08 Exiting with 1 proof.
% 0.77/1.08
% 0.77/1.08 Process 10308 exit (max_proofs) Wed Jun 15 10:29:26 2022
% 0.77/1.08 Prover9 interrupted
%------------------------------------------------------------------------------