TSTP Solution File: LAT278-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 06:26:47 EDT 2022
% Result : Unsatisfiable 0.51s 0.81s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 29 21:51:28 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.51/0.81 ============================== Prover9 ===============================
% 0.51/0.81 Prover9 (32) version 2009-11A, November 2009.
% 0.51/0.81 Process 8876 was started by sandbox on n032.cluster.edu,
% 0.51/0.81 Wed Jun 29 21:51:29 2022
% 0.51/0.81 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8723_n032.cluster.edu".
% 0.51/0.81 ============================== end of head ===========================
% 0.51/0.81
% 0.51/0.81 ============================== INPUT =================================
% 0.51/0.81
% 0.51/0.81 % Reading from file /tmp/Prover9_8723_n032.cluster.edu
% 0.51/0.81
% 0.51/0.81 set(prolog_style_variables).
% 0.51/0.81 set(auto2).
% 0.51/0.81 % set(auto2) -> set(auto).
% 0.51/0.81 % set(auto) -> set(auto_inference).
% 0.51/0.81 % set(auto) -> set(auto_setup).
% 0.51/0.81 % set(auto_setup) -> set(predicate_elim).
% 0.51/0.81 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.51/0.81 % set(auto) -> set(auto_limits).
% 0.51/0.81 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.51/0.81 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.51/0.81 % set(auto) -> set(auto_denials).
% 0.51/0.81 % set(auto) -> set(auto_process).
% 0.51/0.81 % set(auto2) -> assign(new_constants, 1).
% 0.51/0.81 % set(auto2) -> assign(fold_denial_max, 3).
% 0.51/0.81 % set(auto2) -> assign(max_weight, "200.000").
% 0.51/0.81 % set(auto2) -> assign(max_hours, 1).
% 0.51/0.81 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.51/0.81 % set(auto2) -> assign(max_seconds, 0).
% 0.51/0.81 % set(auto2) -> assign(max_minutes, 5).
% 0.51/0.81 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.51/0.81 % set(auto2) -> set(sort_initial_sos).
% 0.51/0.81 % set(auto2) -> assign(sos_limit, -1).
% 0.51/0.81 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.51/0.81 % set(auto2) -> assign(max_megs, 400).
% 0.51/0.81 % set(auto2) -> assign(stats, some).
% 0.51/0.81 % set(auto2) -> clear(echo_input).
% 0.51/0.81 % set(auto2) -> set(quiet).
% 0.51/0.81 % set(auto2) -> clear(print_initial_clauses).
% 0.51/0.81 % set(auto2) -> clear(print_given).
% 0.51/0.81 assign(lrs_ticks,-1).
% 0.51/0.81 assign(sos_limit,10000).
% 0.51/0.81 assign(order,kbo).
% 0.51/0.81 set(lex_order_vars).
% 0.51/0.81 clear(print_given).
% 0.51/0.81
% 0.51/0.81 % formulas(sos). % not echoed (5 formulas)
% 0.51/0.81
% 0.51/0.81 ============================== end of input ==========================
% 0.51/0.81
% 0.51/0.81 % From the command line: assign(max_seconds, 300).
% 0.51/0.81
% 0.51/0.81 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.51/0.81
% 0.51/0.81 % Formulas that are not ordinary clauses:
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% 0.51/0.81 ============================== end of process non-clausal formulas ===
% 0.51/0.81
% 0.51/0.81 ============================== PROCESS INITIAL CLAUSES ===============
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% 0.51/0.81 ============================== PREDICATE ELIMINATION =================
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% 0.51/0.81 ============================== end predicate elimination =============
% 0.51/0.81
% 0.51/0.81 Auto_denials:
% 0.51/0.81 % copying label cls_conjecture_0 to answer in negative clause
% 0.51/0.81
% 0.51/0.81 Term ordering decisions:
% 0.51/0.81 Function symbol KB weights: tc_Product__Type_Ounit=1. t_a=1. v_cl=1. c_Tarski_OPartialOrder=1. v_A=1. v_r=1. tc_Tarski_Opotype_Opotype__ext__type=1. c_Tarski_Opotype_Oorder=1. c_Tarski_Opotype_Opset=1.
% 0.51/0.81
% 0.51/0.81 ============================== end of process initial clauses ========
% 0.51/0.81
% 0.51/0.81 ============================== CLAUSES FOR SEARCH ====================
% 0.51/0.81
% 0.51/0.81 ============================== end of clauses for search =============
% 0.51/0.81
% 0.51/0.81 ============================== SEARCH ================================
% 0.51/0.81
% 0.51/0.81 % Starting search at 0.01 seconds.
% 0.51/0.81
% 0.51/0.81 ============================== PROOF =================================
% 0.51/0.81 % SZS status Unsatisfiable
% 0.51/0.81 % SZS output start Refutation
% 0.51/0.81
% 0.51/0.81 % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_0.
% 0.51/0.81 % Length of proof is 8.
% 0.51/0.81 % Level of proof is 2.
% 0.51/0.81 % Maximum clause weight is 16.000.
% 0.51/0.81 % Given clauses 5.
% 0.51/0.81
% 0.51/0.81 1 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) # label(cls_Tarski_OA_A_61_61_Apset_Acl_0) # label(axiom). [assumption].
% 0.51/0.81 2 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) # label(cls_Tarski_Ocl_A_58_APartialOrder_0) # label(axiom). [assumption].
% 0.51/0.81 3 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) # label(cls_Tarski_Or_A_61_61_Aorder_Acl_0) # label(axiom). [assumption].
% 0.51/0.81 4 -c_Relation_Orefl(v_A,v_r,t_a) # label(cls_conjecture_0) # label(negated_conjecture) # answer(cls_conjecture_0). [assumption].
% 0.51/0.81 5 -c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) # answer(cls_conjecture_0). [copy(4),rewrite([1(1),3(5)])].
% 0.51/0.81 6 -c_in(A,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(B,tc_Product__Type_Ounit)) | c_Relation_Orefl(c_Tarski_Opotype_Opset(A,B,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(A,B,tc_Product__Type_Ounit),B) # label(cls_Tarski_OPartialOrder__iff_0) # label(axiom). [assumption].
% 0.51/0.81 7 c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a). [hyper(6,a,2,a)].
% 0.51/0.81 8 $F # answer(cls_conjecture_0). [resolve(7,a,5,a)].
% 0.51/0.81
% 0.51/0.81 % SZS output end Refutation
% 0.51/0.81 ============================== end of proof ==========================
% 0.51/0.81
% 0.51/0.81 ============================== STATISTICS ============================
% 0.51/0.81
% 0.51/0.81 Given=5. Generated=8. Kept=6. proofs=1.
% 0.51/0.81 Usable=5. Sos=0. Demods=2. Limbo=0, Disabled=5. Hints=0.
% 0.51/0.81 Megabytes=0.03.
% 0.51/0.81 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.51/0.81
% 0.51/0.81 ============================== end of statistics =====================
% 0.51/0.81
% 0.51/0.81 ============================== end of search =========================
% 0.51/0.81
% 0.51/0.81 THEOREM PROVED
% 0.51/0.81 % SZS status Unsatisfiable
% 0.51/0.81
% 0.51/0.81 Exiting with 1 proof.
% 0.51/0.81
% 0.51/0.81 Process 8876 exit (max_proofs) Wed Jun 29 21:51:29 2022
% 0.51/0.81 Prover9 interrupted
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