TSTP Solution File: SET055-6 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n005.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 04:26:27 EDT 2022
% Result : Unsatisfiable 1.59s 1.87s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 05:00:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.59/1.87 ============================== Prover9 ===============================
% 1.59/1.87 Prover9 (32) version 2009-11A, November 2009.
% 1.59/1.87 Process 13090 was started by sandbox2 on n005.cluster.edu,
% 1.59/1.87 Mon Jul 11 05:00:37 2022
% 1.59/1.87 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_12937_n005.cluster.edu".
% 1.59/1.87 ============================== end of head ===========================
% 1.59/1.87
% 1.59/1.87 ============================== INPUT =================================
% 1.59/1.87
% 1.59/1.87 % Reading from file /tmp/Prover9_12937_n005.cluster.edu
% 1.59/1.87
% 1.59/1.87 set(prolog_style_variables).
% 1.59/1.87 set(auto2).
% 1.59/1.87 % set(auto2) -> set(auto).
% 1.59/1.87 % set(auto) -> set(auto_inference).
% 1.59/1.87 % set(auto) -> set(auto_setup).
% 1.59/1.87 % set(auto_setup) -> set(predicate_elim).
% 1.59/1.87 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.59/1.87 % set(auto) -> set(auto_limits).
% 1.59/1.87 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.59/1.87 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.59/1.87 % set(auto) -> set(auto_denials).
% 1.59/1.87 % set(auto) -> set(auto_process).
% 1.59/1.87 % set(auto2) -> assign(new_constants, 1).
% 1.59/1.87 % set(auto2) -> assign(fold_denial_max, 3).
% 1.59/1.87 % set(auto2) -> assign(max_weight, "200.000").
% 1.59/1.87 % set(auto2) -> assign(max_hours, 1).
% 1.59/1.87 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.59/1.87 % set(auto2) -> assign(max_seconds, 0).
% 1.59/1.87 % set(auto2) -> assign(max_minutes, 5).
% 1.59/1.87 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.59/1.87 % set(auto2) -> set(sort_initial_sos).
% 1.59/1.87 % set(auto2) -> assign(sos_limit, -1).
% 1.59/1.87 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.59/1.87 % set(auto2) -> assign(max_megs, 400).
% 1.59/1.87 % set(auto2) -> assign(stats, some).
% 1.59/1.87 % set(auto2) -> clear(echo_input).
% 1.59/1.87 % set(auto2) -> set(quiet).
% 1.59/1.87 % set(auto2) -> clear(print_initial_clauses).
% 1.59/1.87 % set(auto2) -> clear(print_given).
% 1.59/1.87 assign(lrs_ticks,-1).
% 1.59/1.87 assign(sos_limit,10000).
% 1.59/1.87 assign(order,kbo).
% 1.59/1.87 set(lex_order_vars).
% 1.59/1.87 clear(print_given).
% 1.59/1.87
% 1.59/1.87 % formulas(sos). % not echoed (159 formulas)
% 1.59/1.87
% 1.59/1.87 ============================== end of input ==========================
% 1.59/1.87
% 1.59/1.87 % From the command line: assign(max_seconds, 300).
% 1.59/1.87
% 1.59/1.87 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.59/1.87
% 1.59/1.87 % Formulas that are not ordinary clauses:
% 1.59/1.87
% 1.59/1.87 ============================== end of process non-clausal formulas ===
% 1.59/1.87
% 1.59/1.87 ============================== PROCESS INITIAL CLAUSES ===============
% 1.59/1.87
% 1.59/1.87 ============================== PREDICATE ELIMINATION =================
% 1.59/1.87
% 1.59/1.87 ============================== end predicate elimination =============
% 1.59/1.87
% 1.59/1.87 Auto_denials: (non-Horn, no changes).
% 1.59/1.87
% 1.59/1.87 Term ordering decisions:
% 1.59/1.87 Function symbol KB weights: universal_class=1. null_class=1. element_relation=1. identity_relation=1. successor_relation=1. omega=1. subset_relation=1. choice=1. x=1. ordered_pair=1. cross_product=1. intersection=1. apply=1. image=1. compose=1. unordered_pair=1. not_subclass_element=1. union=1. symmetric_difference=1. domain_of=1. complement=1. inverse=1. singleton=1. range_of=1. flip=1. rotate=1. successor=1. sum_class=1. diagonalise=1. first=1. power_class=1. regular=1. second=1. cantor=1. restrict=1. not_homomorphism1=1. not_homomorphism2=1. domain=1. range=1.
% 1.59/1.87
% 1.59/1.87 ============================== end of process initial clauses ========
% 1.59/1.87
% 1.59/1.87 ============================== CLAUSES FOR SEARCH ====================
% 1.59/1.87
% 1.59/1.87 ============================== end of clauses for search =============
% 1.59/1.87
% 1.59/1.87 ============================== SEARCH ================================
% 1.59/1.87
% 1.59/1.87 % Starting search at 0.03 seconds.
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=19.000, iters=3409
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=17.000, iters=3334
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=16.000, iters=3362
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=15.000, iters=3338
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=14.000, iters=3356
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=13.000, iters=3339
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=12.000, iters=3348
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=11.000, iters=3345
% 1.59/1.87
% 1.59/1.87 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 184 (0.00 of 0.52 sec).
% 1.59/1.87
% 1.59/1.87 Low Water (displace): id=1647, wt=34.000
% 1.59/1.87
% 1.59/1.87 Low Water (displace): id=10708, wt=9.000
% 1.59/1.87
% 1.59/1.87 Low Water (displace): id=11165, wt=7.000
% 1.59/1.87
% 1.59/1.87 Low Water (keep): wt=10.000, iters=3336
% 1.59/1.87
% 1.59/1.87 ============================== PROOF =================================
% 1.59/1.87 % SZS status Unsatisfiable
% 1.59/1.87 % SZS output start Refutation
% 1.59/1.87
% 1.59/1.87 % Proof 1 at 0.83 (+ 0.06) seconds.
% 1.59/1.87 % Length of proof is 9.
% 1.59/1.87 % Level of proof is 5.
% 1.59/1.87 % Maximum clause weight is 9.000.
% 1.59/1.87 % Given clauses 2010.
% 1.59/1.87
% 1.59/1.87 69 member(not_subclass_element(A,B),A) | subclass(A,B) # label(not_subclass_members1) # label(axiom). [assumption].
% 1.59/1.87 70 -member(not_subclass_element(A,B),B) | subclass(A,B) # label(not_subclass_members2) # label(axiom). [assumption].
% 1.59/1.87 74 -subclass(A,B) | -subclass(B,A) | equalish(A,B) # label(subclass_implies_equal) # label(axiom). [assumption].
% 1.59/1.87 159 -equalish(x,x) # label(prove_reflexivity) # label(negated_conjecture). [assumption].
% 1.59/1.87 160 -subclass(A,A) | equalish(A,A). [factor(74,a,b)].
% 1.59/1.87 1465 equalish(A,A) | member(not_subclass_element(A,A),A). [resolve(160,a,69,b)].
% 1.59/1.87 19220 equalish(A,A) | subclass(A,A). [resolve(1465,b,70,a)].
% 1.59/1.87 19221 equalish(A,A). [resolve(19220,b,160,a),merge(b)].
% 1.59/1.87 19222 $F. [resolve(19221,a,159,a)].
% 1.59/1.87
% 1.59/1.87 % SZS output end Refutation
% 1.59/1.87 ============================== end of proof ==========================
% 1.59/1.87
% 1.59/1.87 ============================== STATISTICS ============================
% 1.59/1.87
% 1.59/1.87 Given=2010. Generated=78174. Kept=19221. proofs=1.
% 1.59/1.87 Usable=2009. Sos=9928. Demods=0. Limbo=0, Disabled=7442. Hints=0.
% 1.59/1.87 Megabytes=14.96.
% 1.59/1.87 User_CPU=0.83, System_CPU=0.06, Wall_clock=1.
% 1.59/1.87
% 1.59/1.87 ============================== end of statistics =====================
% 1.59/1.87
% 1.59/1.87 ============================== end of search =========================
% 1.59/1.87
% 1.59/1.87 THEOREM PROVED
% 1.59/1.87 % SZS status Unsatisfiable
% 1.59/1.87
% 1.59/1.87 Exiting with 1 proof.
% 1.59/1.87
% 1.59/1.87 Process 13090 exit (max_proofs) Mon Jul 11 05:00:38 2022
% 1.59/1.87 Prover9 interrupted
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