TSTP Solution File: GEO046-3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 : Sat Jul 16 05:53:32 EDT 2022
% Result : Unsatisfiable 10.74s 11.03s
% Output : Refutation 10.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 16:53:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 10.74/11.03 ============================== Prover9 ===============================
% 10.74/11.03 Prover9 (32) version 2009-11A, November 2009.
% 10.74/11.03 Process 32360 was started by sandbox on n004.cluster.edu,
% 10.74/11.03 Fri Jun 17 16:53:24 2022
% 10.74/11.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32199_n004.cluster.edu".
% 10.74/11.03 ============================== end of head ===========================
% 10.74/11.03
% 10.74/11.03 ============================== INPUT =================================
% 10.74/11.03
% 10.74/11.03 % Reading from file /tmp/Prover9_32199_n004.cluster.edu
% 10.74/11.03
% 10.74/11.03 set(prolog_style_variables).
% 10.74/11.03 set(auto2).
% 10.74/11.03 % set(auto2) -> set(auto).
% 10.74/11.03 % set(auto) -> set(auto_inference).
% 10.74/11.03 % set(auto) -> set(auto_setup).
% 10.74/11.03 % set(auto_setup) -> set(predicate_elim).
% 10.74/11.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 10.74/11.03 % set(auto) -> set(auto_limits).
% 10.74/11.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 10.74/11.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 10.74/11.03 % set(auto) -> set(auto_denials).
% 10.74/11.03 % set(auto) -> set(auto_process).
% 10.74/11.03 % set(auto2) -> assign(new_constants, 1).
% 10.74/11.03 % set(auto2) -> assign(fold_denial_max, 3).
% 10.74/11.03 % set(auto2) -> assign(max_weight, "200.000").
% 10.74/11.03 % set(auto2) -> assign(max_hours, 1).
% 10.74/11.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 10.74/11.03 % set(auto2) -> assign(max_seconds, 0).
% 10.74/11.03 % set(auto2) -> assign(max_minutes, 5).
% 10.74/11.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 10.74/11.03 % set(auto2) -> set(sort_initial_sos).
% 10.74/11.03 % set(auto2) -> assign(sos_limit, -1).
% 10.74/11.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 10.74/11.03 % set(auto2) -> assign(max_megs, 400).
% 10.74/11.03 % set(auto2) -> assign(stats, some).
% 10.74/11.03 % set(auto2) -> clear(echo_input).
% 10.74/11.03 % set(auto2) -> set(quiet).
% 10.74/11.03 % set(auto2) -> clear(print_initial_clauses).
% 10.74/11.03 % set(auto2) -> clear(print_given).
% 10.74/11.03 assign(lrs_ticks,-1).
% 10.74/11.03 assign(sos_limit,10000).
% 10.74/11.03 assign(order,kbo).
% 10.74/11.03 set(lex_order_vars).
% 10.74/11.03 clear(print_given).
% 10.74/11.03
% 10.74/11.03 % formulas(sos). % not echoed (58 formulas)
% 10.74/11.03
% 10.74/11.03 ============================== end of input ==========================
% 10.74/11.03
% 10.74/11.03 % From the command line: assign(max_seconds, 300).
% 10.74/11.03
% 10.74/11.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 10.74/11.03
% 10.74/11.03 % Formulas that are not ordinary clauses:
% 10.74/11.03
% 10.74/11.03 ============================== end of process non-clausal formulas ===
% 10.74/11.03
% 10.74/11.03 ============================== PROCESS INITIAL CLAUSES ===============
% 10.74/11.03
% 10.74/11.03 ============================== PREDICATE ELIMINATION =================
% 10.74/11.03
% 10.74/11.03 ============================== end predicate elimination =============
% 10.74/11.03
% 10.74/11.03 Auto_denials: (non-Horn, no changes).
% 10.74/11.03
% 10.74/11.03 Term ordering decisions:
% 10.74/11.03 Function symbol KB weights: v=1. x=1. u=1. w=1. lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. reflection=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 10.74/11.03
% 10.74/11.03 ============================== end of process initial clauses ========
% 10.74/11.03
% 10.74/11.03 ============================== CLAUSES FOR SEARCH ====================
% 10.74/11.03
% 10.74/11.03 ============================== end of clauses for search =============
% 10.74/11.03
% 10.74/11.03 ============================== SEARCH ================================
% 10.74/11.03
% 10.74/11.03 % Starting search at 0.02 seconds.
% 10.74/11.03
% 10.74/11.03 ============================== PROOF =================================
% 10.74/11.03 % SZS status Unsatisfiable
% 10.74/11.03 % SZS output start Refutation
% 10.74/11.03
% 10.74/11.03 % Proof 1 at 10.06 (+ 0.01) seconds.
% 10.74/11.03 % Length of proof is 43.
% 10.74/11.03 % Level of proof is 9.
% 10.74/11.03 % Maximum clause weight is 15.000.
% 10.74/11.03 % Given clauses 341.
% 10.74/11.03
% 10.74/11.03 2 between(A,A,B) # label(t2) # label(axiom). [assumption].
% 10.74/11.03 3 between(u,v,x) # label(v_between_u_and_x) # label(hypothesis). [assumption].
% 10.74/11.03 4 between(v,w,x) # label(w_between_v_and_x) # label(hypothesis). [assumption].
% 10.74/11.03 16 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 10.74/11.03 26 -between(u,w,x) # label(prove_w_between_u_and_x) # label(negated_conjecture). [assumption].
% 10.74/11.03 33 -between(A,B,C) | between(C,B,A) # label(t1) # label(axiom). [assumption].
% 10.74/11.03 41 A != extension(B,C,D,E) | between(B,C,A) # label(b0) # label(axiom). [assumption].
% 10.74/11.03 42 extension(A,B,C,D) != E | between(A,B,E). [copy(41),flip(a)].
% 10.74/11.03 43 -between(A,B,C) | A != C | between(D,B,C) # label(b1) # label(axiom). [assumption].
% 10.74/11.03 46 -between(A,B,C) | -between(A,C,D) | between(B,C,D) # label(b5) # label(axiom). [assumption].
% 10.74/11.03 47 -between(A,B,C) | A = B | C = extension(A,B,B,C) # label(d10_1) # label(axiom). [assumption].
% 10.74/11.03 48 -between(A,B,C) | A = B | extension(A,B,B,C) = C. [copy(47),flip(c)].
% 10.74/11.03 51 -between(A,B,C) | -between(B,C,D) | between(A,C,D) | B = C # label(b6) # label(axiom). [assumption].
% 10.74/11.03 52 -between(A,B,C) | -between(B,C,D) | between(A,B,D) | B = C # label(b7) # label(axiom). [assumption].
% 10.74/11.03 81 between(extension(A,B,C,D),B,A). [resolve(33,a,16,a)].
% 10.74/11.03 82 between(x,w,v). [resolve(33,a,4,a)].
% 10.74/11.03 83 between(x,v,u). [resolve(33,a,3,a)].
% 10.74/11.03 84 -between(x,w,u). [ur(33,b,26,a)].
% 10.74/11.03 108 w != x. [ur(43,a,2,a,c,26,a)].
% 10.74/11.03 143 -between(A,v,w) | between(A,w,x) | w = v. [resolve(51,b,4,a),flip(c)].
% 10.74/11.03 316 extension(x,w,w,v) = v. [resolve(82,a,48,a),flip(a),unit_del(a,108)].
% 10.74/11.03 318 -between(x,v,A) | between(w,v,A). [resolve(82,a,46,a)].
% 10.74/11.03 335 -between(v,u,A) | between(x,v,A) | u = v. [resolve(83,a,52,a),flip(c)].
% 10.74/11.03 340 -between(x,u,A) | between(v,u,A). [resolve(83,a,46,a)].
% 10.74/11.03 370 v != A | between(x,w,A). [para(316(a,1),42(a,1))].
% 10.74/11.03 428 -between(extension(w,u,A,B),w,x). [ur(46,a,81,a,c,26,a)].
% 10.74/11.03 456 u != v. [ur(370,b,84,a),flip(a)].
% 10.74/11.03 459 -between(v,u,A) | between(x,v,A). [back_unit_del(335),unit_del(c,456)].
% 10.74/11.03 596 between(w,v,u). [resolve(318,a,83,a)].
% 10.74/11.03 612 -between(v,u,A) | between(w,v,A). [resolve(596,a,52,a),flip(c),unit_del(c,456)].
% 10.74/11.03 614 -between(v,u,A) | between(w,u,A). [resolve(596,a,51,a),flip(c),unit_del(c,456)].
% 10.74/11.03 617 -between(w,u,A) | between(v,u,A). [resolve(596,a,46,a)].
% 10.74/11.03 692 between(v,u,extension(x,u,A,B)). [resolve(340,a,16,a)].
% 10.74/11.03 999 between(v,u,extension(w,u,A,B)). [resolve(617,a,16,a)].
% 10.74/11.03 1093 between(w,u,extension(x,u,A,B)). [resolve(692,a,614,a)].
% 10.74/11.03 1095 between(x,v,extension(x,u,A,B)). [resolve(692,a,459,a)].
% 10.74/11.03 1544 between(w,v,extension(w,u,A,B)). [resolve(999,a,612,a)].
% 10.74/11.03 1753 between(extension(x,u,A,B),u,w). [resolve(1093,a,33,a)].
% 10.74/11.03 1844 between(extension(x,u,A,B),v,x). [resolve(1095,a,33,a)].
% 10.74/11.03 1994 between(extension(w,u,A,B),v,w). [resolve(1544,a,33,a)].
% 10.74/11.03 2173 -between(extension(x,u,A,B),w,x). [ur(46,a,1753,a,c,26,a)].
% 10.74/11.03 3092 w = v. [resolve(143,a,1994,a),unit_del(a,428)].
% 10.74/11.03 3213 $F. [back_rewrite(2173),rewrite([3092(4)]),unit_del(a,1844)].
% 10.74/11.03
% 10.74/11.03 % SZS output end Refutation
% 10.74/11.03 ============================== end of proof ==========================
% 10.74/11.03
% 10.74/11.03 ============================== STATISTICS ============================
% 10.74/11.03
% 10.74/11.03 Given=341. Generated=13559. Kept=3203. proofs=1.
% 10.74/11.03 Usable=316. Sos=2037. Demods=39. Limbo=121, Disabled=787. Hints=0.
% 10.74/11.03 Megabytes=3.03.
% 10.74/11.03 User_CPU=10.06, System_CPU=0.01, Wall_clock=10.
% 10.74/11.03
% 10.74/11.03 ============================== end of statistics =====================
% 10.74/11.03
% 10.74/11.03 ============================== end of search =========================
% 10.74/11.03
% 10.74/11.03 THEOREM PROVED
% 10.74/11.03 % SZS status Unsatisfiable
% 10.74/11.03
% 10.74/11.03 Exiting with 1 proof.
% 10.74/11.03
% 10.74/11.03 Process 32360 exit (max_proofs) Fri Jun 17 16:53:34 2022
% 10.74/11.03 Prover9 interrupted
%------------------------------------------------------------------------------