TSTP Solution File: LCL853-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL853-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 13:50:49 EDT 2022
% Result : Unsatisfiable 0.68s 0.99s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL853-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n007.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 4 06:49:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/0.99 ============================== Prover9 ===============================
% 0.68/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.99 Process 2606 was started by sandbox on n007.cluster.edu,
% 0.68/0.99 Mon Jul 4 06:49:42 2022
% 0.68/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2453_n007.cluster.edu".
% 0.68/0.99 ============================== end of head ===========================
% 0.68/0.99
% 0.68/0.99 ============================== INPUT =================================
% 0.68/0.99
% 0.68/0.99 % Reading from file /tmp/Prover9_2453_n007.cluster.edu
% 0.68/0.99
% 0.68/0.99 set(prolog_style_variables).
% 0.68/0.99 set(auto2).
% 0.68/0.99 % set(auto2) -> set(auto).
% 0.68/0.99 % set(auto) -> set(auto_inference).
% 0.68/0.99 % set(auto) -> set(auto_setup).
% 0.68/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.68/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.99 % set(auto) -> set(auto_limits).
% 0.68/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.99 % set(auto) -> set(auto_denials).
% 0.68/0.99 % set(auto) -> set(auto_process).
% 0.68/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.68/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.68/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.68/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.68/0.99 % set(auto2) -> assign(stats, some).
% 0.68/0.99 % set(auto2) -> clear(echo_input).
% 0.68/0.99 % set(auto2) -> set(quiet).
% 0.68/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.99 % set(auto2) -> clear(print_given).
% 0.68/0.99 assign(lrs_ticks,-1).
% 0.68/0.99 assign(sos_limit,10000).
% 0.68/0.99 assign(order,kbo).
% 0.68/0.99 set(lex_order_vars).
% 0.68/0.99 clear(print_given).
% 0.68/0.99
% 0.68/0.99 % formulas(sos). % not echoed (47 formulas)
% 0.68/0.99
% 0.68/0.99 ============================== end of input ==========================
% 0.68/0.99
% 0.68/0.99 % From the command line: assign(max_seconds, 300).
% 0.68/0.99
% 0.68/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.99
% 0.68/0.99 % Formulas that are not ordinary clauses:
% 0.68/0.99
% 0.68/0.99 ============================== end of process non-clausal formulas ===
% 0.68/0.99
% 0.68/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.99
% 0.68/0.99 ============================== PREDICATE ELIMINATION =================
% 0.68/0.99 1 -class_Orderings_Opreorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_order__less__irrefl_0) # label(axiom). [assumption].
% 0.68/0.99 2 class_Orderings_Opreorder(tc_nat) # label(clsarity_nat__Orderings_Opreorder) # label(axiom). [assumption].
% 0.68/0.99 Derived: -c_HOL_Oord__class_Oless(A,A,tc_nat). [resolve(1,a,2,a)].
% 0.68/0.99 3 -class_Orderings_Opreorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_order__less__asym_H_0) # label(axiom). [assumption].
% 0.68/0.99 Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(3,a,2,a)].
% 0.68/0.99 4 -class_Orderings_Opreorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_order__less__asym_0) # label(axiom). [assumption].
% 0.68/0.99 5 -class_Orderings_Opreorder(A) | c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(D,C,A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_order__less__trans_0) # label(axiom). [assumption].
% 0.68/0.99 Derived: c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(C,B,tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(5,a,2,a)].
% 0.68/0.99 6 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_linorder__neq__iff_1) # label(axiom). [assumption].
% 0.68/0.99 7 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.68/0.99 8 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_not__less__iff__gr__or__eq_1) # label(axiom). [assumption].
% 0.68/0.99 9 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__antisym__conv3_0) # label(axiom). [assumption].
% 0.68/0.99 Derived: A = B | c_HOL_Oord__class_Oless(A,B,tc_nat) | c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(9,a,7,a)].
% 0.68/0.99 10 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | C = B | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__less__linear_0) # label(axiom). [assumption].
% 0.68/0.99 11 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) | C = B # label(cls_linorder__neqE_0) # label(axiom). [assumption].
% 0.68/0.99 12 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(C,B,A) | c_HOL_Oord__class_Oless(B,C,A) # label(cls_not__less__iff__gr__or__eq_0) # label(axiom). [assumption].
% 0.68/0.99 13 -class_Orderings_Oorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_order__less__le_1) # label(axiom). [assumption].
% 0.68/0.99 14 class_Orderings_Oorder(tc_nat) # label(clsarity_nat__Orderings_Oorder) # label(axiom). [assumption].
% 0.68/0.99 15 -class_Orderings_Oorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_xt1_I9_J_0) # label(axiom). [assumption].
% 0.68/0.99 16 -class_Orderings_Oorder(A) | c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(B,D,A) | -c_HOL_Oord__class_Oless(D,C,A) # label(cls_xt1_I10_J_0) # label(axiom). [assumption].
% 0.68/0.99
% 0.68/0.99 ============================== end predicate elimination =============
% 0.68/0.99
% 0.68/0.99 Auto_denials: (non-Horn, no changes).
% 0.68/0.99
% 0.68/0.99 Term ordering decisions:
% 0.68/0.99 Function symbol KB weights: tc_nat=1. v_s____=1. v_ta____=1. c_Lambda_OdB_OApp=1. c_Lambda_Olift=1. c_Lambda_OdB_OVar=1. c_Lambda_OdB_OAbs=1. c_Lambda_Osubst=1.
% 0.68/0.99
% 0.68/0.99 ============================== PROOF =================================
% 0.68/0.99 % SZS status Unsatisfiable
% 0.68/0.99 % SZS output start Refutation
% 0.68/0.99
% 0.68/0.99 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.68/0.99 % Length of proof is 3.
% 0.68/0.99 % Level of proof is 1.
% 0.68/0.99 % Maximum clause weight is 2.000.
% 0.68/0.99 % Given clauses 0.
% 0.68/0.99
% 0.68/0.99 17 c_InductTermi_OIT(v_s____) # label(cls_App_I2_J_0) # label(axiom). [assumption].
% 0.68/0.99 29 -c_InductTermi_OIT(v_s____) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.68/0.99 30 $F. [copy(29),unit_del(a,17)].
% 0.68/0.99
% 0.68/0.99 % SZS output end Refutation
% 0.68/0.99 ============================== end of proof ==========================
% 0.68/0.99
% 0.68/0.99 ============================== STATISTICS ============================
% 0.68/0.99
% 0.68/0.99 Given=0. Generated=12. Kept=9. proofs=1.
% 0.68/0.99 Usable=0. Sos=0. Demods=4. Limbo=9, Disabled=29. Hints=0.
% 0.68/0.99 Megabytes=0.05.
% 0.68/0.99 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.68/0.99
% 0.68/0.99 ============================== end of statistics =====================
% 0.68/0.99
% 0.68/0.99 ============================== end of search =========================
% 0.68/0.99
% 0.68/0.99 THEOREM PROVED
% 0.68/0.99 % SZS status Unsatisfiable
% 0.68/0.99
% 0.68/0.99 Exiting with 1 proof.
% 0.68/0.99
% 0.68/0.99 Process 2606 exit (max_proofs) Mon Jul 4 06:49:42 2022
% 0.68/0.99 Prover9 interrupted
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