TSTP Solution File: GEO042-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO042-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 05:53:29 EDT 2022
% Result : Unsatisfiable 1.42s 1.70s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO042-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 17 20:00:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.42/1.70 ============================== Prover9 ===============================
% 1.42/1.70 Prover9 (32) version 2009-11A, November 2009.
% 1.42/1.70 Process 2788 was started by sandbox on n014.cluster.edu,
% 1.42/1.70 Fri Jun 17 20:00:05 2022
% 1.42/1.70 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2635_n014.cluster.edu".
% 1.42/1.70 ============================== end of head ===========================
% 1.42/1.70
% 1.42/1.70 ============================== INPUT =================================
% 1.42/1.70
% 1.42/1.70 % Reading from file /tmp/Prover9_2635_n014.cluster.edu
% 1.42/1.70
% 1.42/1.70 set(prolog_style_variables).
% 1.42/1.70 set(auto2).
% 1.42/1.70 % set(auto2) -> set(auto).
% 1.42/1.70 % set(auto) -> set(auto_inference).
% 1.42/1.70 % set(auto) -> set(auto_setup).
% 1.42/1.70 % set(auto_setup) -> set(predicate_elim).
% 1.42/1.70 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.42/1.70 % set(auto) -> set(auto_limits).
% 1.42/1.70 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.42/1.70 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.42/1.70 % set(auto) -> set(auto_denials).
% 1.42/1.70 % set(auto) -> set(auto_process).
% 1.42/1.70 % set(auto2) -> assign(new_constants, 1).
% 1.42/1.70 % set(auto2) -> assign(fold_denial_max, 3).
% 1.42/1.70 % set(auto2) -> assign(max_weight, "200.000").
% 1.42/1.70 % set(auto2) -> assign(max_hours, 1).
% 1.42/1.70 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.42/1.70 % set(auto2) -> assign(max_seconds, 0).
% 1.42/1.70 % set(auto2) -> assign(max_minutes, 5).
% 1.42/1.70 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.42/1.70 % set(auto2) -> set(sort_initial_sos).
% 1.42/1.70 % set(auto2) -> assign(sos_limit, -1).
% 1.42/1.70 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.42/1.70 % set(auto2) -> assign(max_megs, 400).
% 1.42/1.70 % set(auto2) -> assign(stats, some).
% 1.42/1.70 % set(auto2) -> clear(echo_input).
% 1.42/1.70 % set(auto2) -> set(quiet).
% 1.42/1.70 % set(auto2) -> clear(print_initial_clauses).
% 1.42/1.70 % set(auto2) -> clear(print_given).
% 1.42/1.70 assign(lrs_ticks,-1).
% 1.42/1.70 assign(sos_limit,10000).
% 1.42/1.70 assign(order,kbo).
% 1.42/1.70 set(lex_order_vars).
% 1.42/1.70 clear(print_given).
% 1.42/1.70
% 1.42/1.70 % formulas(sos). % not echoed (21 formulas)
% 1.42/1.70
% 1.42/1.70 ============================== end of input ==========================
% 1.42/1.70
% 1.42/1.70 % From the command line: assign(max_seconds, 300).
% 1.42/1.70
% 1.42/1.70 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.42/1.70
% 1.42/1.70 % Formulas that are not ordinary clauses:
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% 1.42/1.70 ============================== end of process non-clausal formulas ===
% 1.42/1.70
% 1.42/1.70 ============================== PROCESS INITIAL CLAUSES ===============
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% 1.42/1.70 ============================== PREDICATE ELIMINATION =================
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% 1.42/1.70 ============================== end predicate elimination =============
% 1.42/1.70
% 1.42/1.70 Auto_denials: (non-Horn, no changes).
% 1.42/1.70
% 1.42/1.70 Term ordering decisions:
% 1.42/1.70 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. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 1.42/1.70
% 1.42/1.70 ============================== end of process initial clauses ========
% 1.42/1.70
% 1.42/1.70 ============================== CLAUSES FOR SEARCH ====================
% 1.42/1.70
% 1.42/1.70 ============================== end of clauses for search =============
% 1.42/1.70
% 1.42/1.70 ============================== SEARCH ================================
% 1.42/1.70
% 1.42/1.70 % Starting search at 0.01 seconds.
% 1.42/1.70
% 1.42/1.70 ============================== PROOF =================================
% 1.42/1.70 % SZS status Unsatisfiable
% 1.42/1.70 % SZS output start Refutation
% 1.42/1.70
% 1.42/1.70 % Proof 1 at 0.70 (+ 0.00) seconds.
% 1.42/1.70 % Length of proof is 23.
% 1.42/1.70 % Level of proof is 7.
% 1.42/1.70 % Maximum clause weight is 17.000.
% 1.42/1.70 % Given clauses 145.
% 1.42/1.70
% 1.42/1.70 1 between(u,v,x) # label(v_between_u_and_x) # label(hypothesis). [assumption].
% 1.42/1.70 2 between(v,w,x) # label(w_between_v_and_x) # label(hypothesis). [assumption].
% 1.42/1.70 4 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom). [assumption].
% 1.42/1.70 5 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom). [assumption].
% 1.42/1.70 9 -between(u,v,w) # label(prove_v_between_u_and_w) # label(negated_conjecture). [assumption].
% 1.42/1.70 10 -between(A,B,A) | A = B # label(identity_for_betweeness) # label(axiom). [assumption].
% 1.42/1.70 11 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom). [assumption].
% 1.42/1.70 13 -between(A,B,C) | -between(D,E,C) | between(B,inner_pasch(A,B,C,E,D),D) # label(inner_pasch1) # label(axiom). [assumption].
% 1.42/1.70 14 -between(A,B,C) | -between(D,E,C) | between(E,inner_pasch(A,B,C,E,D),A) # label(inner_pasch2) # label(axiom). [assumption].
% 1.42/1.70 39 extension(A,B,C,C) = B. [resolve(11,a,5,a),flip(a)].
% 1.42/1.70 45 -between(A,B,x) | between(w,inner_pasch(v,w,x,B,A),A). [resolve(13,a,2,a)].
% 1.42/1.70 51 -between(A,B,x) | between(B,inner_pasch(v,w,x,B,A),v). [resolve(14,a,2,a)].
% 1.42/1.70 135 between(A,B,B). [para(39(a,1),4(a,3))].
% 1.42/1.70 163 -between(A,B,C) | between(C,inner_pasch(A,B,C,C,D),A). [resolve(135,a,14,b)].
% 1.42/1.70 165 -between(A,B,C) | between(B,inner_pasch(A,B,C,C,D),D). [resolve(135,a,13,b)].
% 1.42/1.70 332 between(w,inner_pasch(v,w,x,v,u),u). [resolve(45,a,1,a)].
% 1.42/1.70 521 between(v,inner_pasch(v,w,x,v,u),v). [resolve(51,a,1,a)].
% 1.42/1.70 565 inner_pasch(v,w,x,v,u) = v. [resolve(521,a,10,a),flip(a)].
% 1.42/1.70 580 between(w,v,u). [back_rewrite(332),rewrite([565(7)])].
% 1.42/1.70 882 between(u,inner_pasch(w,v,u,u,A),w). [resolve(163,a,580,a)].
% 1.42/1.70 1465 between(v,inner_pasch(w,v,u,u,A),A). [resolve(165,a,580,a)].
% 1.42/1.70 1564 inner_pasch(w,v,u,u,v) = v. [resolve(1465,a,10,a),flip(a)].
% 1.42/1.70 1565 $F. [para(1564(a,1),882(a,2)),unit_del(a,9)].
% 1.42/1.70
% 1.42/1.70 % SZS output end Refutation
% 1.42/1.70 ============================== end of proof ==========================
% 1.42/1.70
% 1.42/1.70 ============================== STATISTICS ============================
% 1.42/1.70
% 1.42/1.70 Given=145. Generated=2024. Kept=1564. proofs=1.
% 1.42/1.70 Usable=130. Sos=1299. Demods=15. Limbo=0, Disabled=156. Hints=0.
% 1.42/1.70 Megabytes=1.92.
% 1.42/1.70 User_CPU=0.70, System_CPU=0.00, Wall_clock=0.
% 1.42/1.70
% 1.42/1.70 ============================== end of statistics =====================
% 1.42/1.70
% 1.42/1.70 ============================== end of search =========================
% 1.42/1.70
% 1.42/1.70 THEOREM PROVED
% 1.42/1.70 % SZS status Unsatisfiable
% 1.42/1.70
% 1.42/1.70 Exiting with 1 proof.
% 1.42/1.70
% 1.42/1.70 Process 2788 exit (max_proofs) Fri Jun 17 20:00:05 2022
% 1.42/1.70 Prover9 interrupted
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