TSTP Solution File: LAT274-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 : Sun Jul 17 06:26:42 EDT 2022
% Result : Unsatisfiable 0.65s 0.99s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.32 % Computer : n024.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Thu Jun 30 05:41:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.65/0.99 ============================== Prover9 ===============================
% 0.65/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.65/0.99 Process 13071 was started by sandbox on n024.cluster.edu,
% 0.65/0.99 Thu Jun 30 05:41:01 2022
% 0.65/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_12918_n024.cluster.edu".
% 0.65/0.99 ============================== end of head ===========================
% 0.65/0.99
% 0.65/0.99 ============================== INPUT =================================
% 0.65/0.99
% 0.65/0.99 % Reading from file /tmp/Prover9_12918_n024.cluster.edu
% 0.65/0.99
% 0.65/0.99 set(prolog_style_variables).
% 0.65/0.99 set(auto2).
% 0.65/0.99 % set(auto2) -> set(auto).
% 0.65/0.99 % set(auto) -> set(auto_inference).
% 0.65/0.99 % set(auto) -> set(auto_setup).
% 0.65/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.65/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.65/0.99 % set(auto) -> set(auto_limits).
% 0.65/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.65/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.65/0.99 % set(auto) -> set(auto_denials).
% 0.65/0.99 % set(auto) -> set(auto_process).
% 0.65/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.65/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.65/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.65/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.65/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.65/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.65/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.65/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.65/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.65/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.65/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.65/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.65/0.99 % set(auto2) -> assign(stats, some).
% 0.65/0.99 % set(auto2) -> clear(echo_input).
% 0.65/0.99 % set(auto2) -> set(quiet).
% 0.65/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.65/0.99 % set(auto2) -> clear(print_given).
% 0.65/0.99 assign(lrs_ticks,-1).
% 0.65/0.99 assign(sos_limit,10000).
% 0.65/0.99 assign(order,kbo).
% 0.65/0.99 set(lex_order_vars).
% 0.65/0.99 clear(print_given).
% 0.65/0.99
% 0.65/0.99 % formulas(sos). % not echoed (15 formulas)
% 0.65/0.99
% 0.65/0.99 ============================== end of input ==========================
% 0.65/0.99
% 0.65/0.99 % From the command line: assign(max_seconds, 300).
% 0.65/0.99
% 0.65/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.65/0.99
% 0.65/0.99 % Formulas that are not ordinary clauses:
% 0.65/0.99
% 0.65/0.99 ============================== end of process non-clausal formulas ===
% 0.65/0.99
% 0.65/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.65/0.99
% 0.65/0.99 ============================== PREDICATE ELIMINATION =================
% 0.65/0.99
% 0.65/0.99 ============================== end predicate elimination =============
% 0.65/0.99
% 0.65/0.99 Auto_denials: (non-Horn, no changes).
% 0.65/0.99
% 0.65/0.99 Term ordering decisions:
% 0.65/0.99
% 0.65/0.99 % Assigning unary symbol tc_set kb_weight 0 and highest precedence (20).
% 0.65/0.99 Function symbol KB weights: t_a=1. v_r=1. c_emptyset=1. v_cl=1. v_A=1. v_S=1. v_b=1. v_L=1. v_a=1. tc_prod=1. v_sko__4mj=1. v_sko__4mk=1. v_sko__4mi=1. c_Pair=1. c_Tarski_Ointerval=1. tc_set=0.
% 0.65/0.99
% 0.65/0.99 ============================== end of process initial clauses ========
% 0.65/0.99
% 0.65/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.65/0.99
% 0.65/0.99 ============================== end of clauses for search =============
% 0.65/0.99
% 0.65/0.99 ============================== SEARCH ================================
% 0.65/0.99
% 0.65/0.99 % Starting search at 0.01 seconds.
% 0.65/0.99
% 0.65/0.99 ============================== PROOF =================================
% 0.65/0.99 % SZS status Unsatisfiable
% 0.65/0.99 % SZS output start Refutation
% 0.65/0.99
% 0.65/0.99 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.65/0.99 % Length of proof is 59.
% 0.65/0.99 % Level of proof is 27.
% 0.65/0.99 % Maximum clause weight is 44.000.
% 0.65/0.99 % Given clauses 105.
% 0.65/0.99
% 0.65/0.99 1 c_in(v_b,v_A,t_a) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.65/0.99 2 c_Tarski_OisLub(v_S,v_cl,v_L,t_a) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 0.65/0.99 3 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.65/0.99 4 v_S != c_emptyset # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.65/0.99 5 -c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a) # label(cls_conjecture_6) # label(negated_conjecture). [assumption].
% 0.65/0.99 6 -c_Tarski_OisLub(A,v_cl,B,t_a) | -c_in(C,A,t_a) | c_in(c_Pair(C,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) # label(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) # label(axiom). [assumption].
% 0.65/0.99 7 -c_in(A,B,C) | -c_lessequals(B,c_Tarski_Ointerval(D,E,F,C),tc_set(C)) | c_in(c_Pair(E,A,C,C),D,tc_prod(C,C)) # label(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) # label(axiom). [assumption].
% 0.65/0.99 8 -c_in(A,B,C) | -c_lessequals(B,c_Tarski_Ointerval(D,E,F,C),tc_set(C)) | c_in(c_Pair(A,F,C,C),D,tc_prod(C,C)) # label(cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) # label(axiom). [assumption].
% 0.65/0.99 9 -c_Tarski_OisLub(A,v_cl,B,t_a) | -c_in(C,v_A,t_a) | c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mi(A,v_r,C),A,t_a) # label(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) # label(axiom). [assumption].
% 0.65/0.99 10 -c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)) | -c_in(c_Pair(E,A,C,C),D,tc_prod(C,C)) | c_in(A,c_Tarski_Ointerval(D,E,B,C),C) # label(cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0) # label(axiom). [assumption].
% 0.65/0.99 11 -c_lessequals(A,B,tc_set(t_a)) | c_in(c_Pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mj(A,C,v_r),A,t_a) | c_in(v_sko__4mk(D,A,v_r),A,t_a) | A = c_emptyset # label(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) # label(axiom). [assumption].
% 0.65/0.99 12 -c_lessequals(A,B,tc_set(t_a)) | c_in(c_Pair(C,D,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mj(A,C,v_r),A,t_a) | c_in(v_sko__4mk(D,A,v_r),A,t_a) | c_emptyset = A. [copy(11),flip(e)].
% 0.65/0.99 13 -c_Tarski_OisLub(A,v_cl,B,t_a) | -c_in(C,v_A,t_a) | -c_in(c_Pair(v_sko__4mi(A,v_r,C),C,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) # label(cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) # label(axiom). [assumption].
% 0.65/0.99 14 -c_in(c_Pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_lessequals(B,C,tc_set(t_a)) | c_in(c_Pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mj(B,D,v_r),B,t_a) | B = c_emptyset # label(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) # label(axiom). [assumption].
% 0.65/0.99 15 -c_in(c_Pair(v_sko__4mk(A,B,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_lessequals(B,C,tc_set(t_a)) | c_in(c_Pair(D,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mj(B,D,v_r),B,t_a) | c_emptyset = B. [copy(14),flip(e)].
% 0.65/0.99 16 -c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_lessequals(B,C,tc_set(t_a)) | c_in(c_Pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mk(D,B,v_r),B,t_a) | B = c_emptyset # label(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2) # label(axiom). [assumption].
% 0.65/0.99 17 -c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_lessequals(B,C,tc_set(t_a)) | c_in(c_Pair(A,D,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mk(D,B,v_r),B,t_a) | c_emptyset = B. [copy(16),flip(e)].
% 0.65/0.99 18 -c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_Pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_lessequals(B,D,tc_set(t_a)) | c_in(c_Pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) | B = c_emptyset # label(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3) # label(axiom). [assumption].
% 0.65/0.99 19 -c_in(c_Pair(A,v_sko__4mj(B,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_Pair(v_sko__4mk(C,B,v_r),C,t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_lessequals(B,D,tc_set(t_a)) | c_in(c_Pair(A,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_emptyset = B. [copy(18),flip(e)].
% 0.65/1.00 21 -c_in(A,v_S,t_a) | c_in(c_Pair(A,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(6,a,2,a)].
% 0.65/1.00 22 -c_in(A,v_S,t_a) | c_in(c_Pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(7,b,3,a)].
% 0.65/1.00 23 -c_in(A,v_S,t_a) | c_in(c_Pair(A,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(8,b,3,a)].
% 0.65/1.00 24 -c_in(A,v_A,t_a) | c_in(c_Pair(v_L,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mi(v_S,v_r,A),v_S,t_a). [resolve(9,a,2,a)].
% 0.65/1.00 25 c_in(c_Pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a) | c_in(v_sko__4mk(B,v_S,v_r),v_S,t_a). [resolve(12,a,3,a),flip(d),unit_del(d,4)].
% 0.65/1.00 26 -c_in(A,v_A,t_a) | -c_in(c_Pair(v_sko__4mi(v_S,v_r,A),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(v_L,A,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(13,a,2,a)].
% 0.65/1.00 27 -c_in(c_Pair(v_sko__4mk(A,v_S,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(B,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mj(v_S,B,v_r),v_S,t_a). [resolve(15,b,3,a),flip(d),unit_del(d,4)].
% 0.65/1.00 28 -c_in(c_Pair(A,v_sko__4mj(v_S,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mk(B,v_S,v_r),v_S,t_a). [resolve(17,b,3,a),flip(d),unit_del(d,4)].
% 0.65/1.00 29 -c_in(c_Pair(A,v_sko__4mj(v_S,A,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) | -c_in(c_Pair(v_sko__4mk(B,v_S,v_r),B,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(19,c,3,a),flip(d),unit_del(d,4)].
% 0.65/1.00 30 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a). [resolve(24,a,1,a)].
% 0.65/1.00 32 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) | -c_in(c_Pair(A,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_L,c_Tarski_Ointerval(v_r,A,v_b,t_a),t_a). [resolve(30,a,10,a)].
% 0.65/1.00 34 c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a) | c_in(v_sko__4mk(B,v_S,v_r),v_S,t_a) | -c_in(c_Pair(B,C,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(B,c_Tarski_Ointerval(v_r,A,C,t_a),t_a). [resolve(25,a,10,b)].
% 0.65/1.00 37 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) | c_in(v_L,c_Tarski_Ointerval(v_r,A,v_b,t_a),t_a) | c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a) | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a). [resolve(32,b,25,a)].
% 0.65/1.00 39 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) | c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a). [resolve(37,b,5,a)].
% 0.65/1.00 40 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) | c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(39,a,23,a)].
% 0.65/1.00 43 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) | c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(40,c,26,b),unit_del(c,1)].
% 0.65/1.00 56 c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a) | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) | c_in(v_L,c_Tarski_Ointerval(v_r,A,v_b,t_a),t_a) | c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a). [resolve(34,c,43,c),merge(e)].
% 0.65/1.00 61 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a). [factor(56,a,d),unit_del(c,5)].
% 0.65/1.00 66 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(61,b,21,a)].
% 0.65/1.00 81 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(c_Pair(A,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mj(v_S,A,v_r),v_S,t_a). [resolve(66,b,27,a)].
% 0.65/1.00 85 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)). [factor(81,a,c)].
% 0.65/1.00 88 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a). [resolve(85,b,32,b),unit_del(c,5)].
% 0.65/1.00 89 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | -c_in(c_Pair(v_L,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_L,c_Tarski_Ointerval(v_r,v_a,A,t_a),t_a). [resolve(85,b,10,b)].
% 0.65/1.00 92 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(88,b,23,a)].
% 0.65/1.00 102 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) | c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(92,b,26,b),unit_del(b,1)].
% 0.65/1.00 136 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a). [resolve(89,b,102,b),merge(c),unit_del(b,5)].
% 0.65/1.00 138 c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(136,a,22,a)].
% 0.65/1.00 146 -c_in(c_Pair(v_sko__4mk(A,v_S,v_r),A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(138,a,29,a)].
% 0.65/1.00 147 c_in(c_Pair(v_a,A,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(v_sko__4mk(A,v_S,v_r),v_S,t_a). [resolve(138,a,28,a)].
% 0.65/1.00 157 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) | c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a). [resolve(147,a,32,b),unit_del(c,5)].
% 0.65/1.00 159 c_in(v_sko__4mk(A,v_S,v_r),v_S,t_a) | -c_in(c_Pair(A,B,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(A,c_Tarski_Ointerval(v_r,v_a,B,t_a),t_a). [resolve(147,a,10,b)].
% 0.65/1.00 163 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) | c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(157,b,23,a)].
% 0.65/1.00 168 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) | c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(163,b,26,b),unit_del(b,1)].
% 0.65/1.00 194 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a). [resolve(159,b,168,b),merge(c),unit_del(b,5)].
% 0.65/1.00 200 c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(194,a,21,a)].
% 0.65/1.00 212 c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(200,a,146,a)].
% 0.65/1.00 223 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a). [resolve(212,a,32,b),unit_del(b,5)].
% 0.65/1.00 226 -c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [ur(10,b,212,a,c,5,a)].
% 0.65/1.00 246 c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)). [resolve(223,a,23,a)].
% 0.65/1.00 252 $F. [resolve(246,a,26,b),unit_del(a,1),unit_del(b,226)].
% 0.65/1.00
% 0.65/1.00 % SZS output end Refutation
% 0.65/1.00 ============================== end of proof ==========================
% 0.65/1.00
% 0.65/1.00 ============================== STATISTICS ============================
% 0.65/1.00
% 0.65/1.00 Given=105. Generated=308. Kept=247. proofs=1.
% 0.65/1.00 Usable=61. Sos=51. Demods=0. Limbo=3, Disabled=147. Hints=0.
% 0.65/1.00 Megabytes=0.38.
% 0.65/1.00 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.65/1.00
% 0.65/1.00 ============================== end of statistics =====================
% 0.65/1.00
% 0.65/1.00 ============================== end of search =========================
% 0.65/1.00
% 0.65/1.00 THEOREM PROVED
% 0.65/1.00 % SZS status Unsatisfiable
% 0.65/1.00
% 0.65/1.00 Exiting with 1 proof.
% 0.65/1.00
% 0.65/1.00 Process 13071 exit (max_proofs) Thu Jun 30 05:41:01 2022
% 0.65/1.00 Prover9 interrupted
%------------------------------------------------------------------------------