TSTP Solution File: SET855-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET855-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 : Tue Jul 19 04:32:53 EDT 2022
% Result : Unsatisfiable 0.48s 1.04s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET855-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 10:59:47 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.48/1.04 ============================== Prover9 ===============================
% 0.48/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.48/1.04 Process 28496 was started by sandbox on n027.cluster.edu,
% 0.48/1.04 Sun Jul 10 10:59:48 2022
% 0.48/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_28343_n027.cluster.edu".
% 0.48/1.04 ============================== end of head ===========================
% 0.48/1.04
% 0.48/1.04 ============================== INPUT =================================
% 0.48/1.04
% 0.48/1.04 % Reading from file /tmp/Prover9_28343_n027.cluster.edu
% 0.48/1.04
% 0.48/1.04 set(prolog_style_variables).
% 0.48/1.04 set(auto2).
% 0.48/1.04 % set(auto2) -> set(auto).
% 0.48/1.04 % set(auto) -> set(auto_inference).
% 0.48/1.04 % set(auto) -> set(auto_setup).
% 0.48/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.48/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/1.04 % set(auto) -> set(auto_limits).
% 0.48/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/1.04 % set(auto) -> set(auto_denials).
% 0.48/1.04 % set(auto) -> set(auto_process).
% 0.48/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.48/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.48/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.48/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.48/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.48/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.48/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.48/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.48/1.04 % set(auto2) -> assign(stats, some).
% 0.48/1.04 % set(auto2) -> clear(echo_input).
% 0.48/1.04 % set(auto2) -> set(quiet).
% 0.48/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.48/1.04 % set(auto2) -> clear(print_given).
% 0.48/1.04 assign(lrs_ticks,-1).
% 0.48/1.04 assign(sos_limit,10000).
% 0.48/1.04 assign(order,kbo).
% 0.48/1.04 set(lex_order_vars).
% 0.48/1.04 clear(print_given).
% 0.48/1.04
% 0.48/1.04 % formulas(sos). % not echoed (4 formulas)
% 0.48/1.04
% 0.48/1.04 ============================== end of input ==========================
% 0.48/1.04
% 0.48/1.04 % From the command line: assign(max_seconds, 300).
% 0.48/1.04
% 0.48/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/1.04
% 0.48/1.04 % Formulas that are not ordinary clauses:
% 0.48/1.04
% 0.48/1.04 ============================== end of process non-clausal formulas ===
% 0.48/1.04
% 0.48/1.04 ============================== PROCESS INITIAL CLAUSES ===============
% 0.48/1.04
% 0.48/1.04 ============================== PREDICATE ELIMINATION =================
% 0.48/1.04
% 0.48/1.04 ============================== end predicate elimination =============
% 0.48/1.04
% 0.48/1.04 Auto_denials:
% 0.48/1.04 % copying label cls_conjecture_4 to answer in negative clause
% 0.48/1.04
% 0.48/1.04 Term ordering decisions:
% 0.48/1.04
% 0.48/1.04 % Assigning unary symbol tc_set kb_weight 0 and highest precedence (7).
% 0.48/1.04 Function symbol KB weights: t_a=1. v_Y=1. v_n=1. c_Union=1. tc_set=0.
% 0.48/1.04
% 0.48/1.04 ============================== end of process initial clauses ========
% 0.48/1.04
% 0.48/1.04 ============================== CLAUSES FOR SEARCH ====================
% 0.48/1.04
% 0.48/1.04 ============================== end of clauses for search =============
% 0.48/1.04
% 0.48/1.04 ============================== SEARCH ================================
% 0.48/1.04
% 0.48/1.04 % Starting search at 0.01 seconds.
% 0.48/1.04
% 0.48/1.04 ============================== PROOF =================================
% 0.48/1.04 % SZS status Unsatisfiable
% 0.48/1.04 % SZS output start Refutation
% 0.48/1.04
% 0.48/1.04 % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_4.
% 0.48/1.04 % Length of proof is 7.
% 0.48/1.04 % Level of proof is 2.
% 0.48/1.04 % Maximum clause weight is 13.000.
% 0.48/1.04 % Given clauses 4.
% 0.48/1.04
% 0.48/1.04 1 c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.48/1.04 2 c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.48/1.04 3 v_n != c_Union(v_Y,tc_set(t_a)) # label(cls_conjecture_4) # label(negated_conjecture) # answer(cls_conjecture_4). [assumption].
% 0.48/1.04 4 c_Union(v_Y,tc_set(t_a)) != v_n # answer(cls_conjecture_4). [copy(3),flip(a)].
% 0.48/1.04 5 -c_lessequals(A,B,tc_set(C)) | -c_lessequals(B,A,tc_set(C)) | B = A # label(cls_Set_Osubset__antisym_0) # label(axiom). [assumption].
% 0.48/1.04 6 c_Union(v_Y,tc_set(t_a)) = v_n. [hyper(5,a,2,a,b,1,a),flip(a)].
% 0.48/1.04 7 $F # answer(cls_conjecture_4). [resolve(6,a,4,a)].
% 0.48/1.04
% 0.48/1.04 % SZS output end Refutation
% 0.48/1.04 ============================== end of proof ==========================
% 0.48/1.04
% 0.48/1.04 ============================== STATISTICS ============================
% 0.48/1.04
% 0.48/1.04 Given=4. Generated=5. Kept=5. proofs=1.
% 0.48/1.04 Usable=4. Sos=0. Demods=0. Limbo=0, Disabled=4. Hints=0.
% 0.48/1.04 Megabytes=0.03.
% 0.48/1.04 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.48/1.04
% 0.48/1.04 ============================== end of statistics =====================
% 0.48/1.04
% 0.48/1.04 ============================== end of search =========================
% 0.48/1.04
% 0.48/1.04 THEOREM PROVED
% 0.48/1.04 % SZS status Unsatisfiable
% 0.48/1.04
% 0.48/1.04 Exiting with 1 proof.
% 0.48/1.04
% 0.48/1.04 Process 28496 exit (max_proofs) Sun Jul 10 10:59:48 2022
% 0.48/1.04 Prover9 interrupted
%------------------------------------------------------------------------------