TSTP Solution File: SET825-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 04:32:24 EDT 2022
% Result : Unsatisfiable 0.43s 0.98s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 06:07:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/0.98 ============================== Prover9 ===============================
% 0.43/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.98 Process 19734 was started by sandbox on n018.cluster.edu,
% 0.43/0.98 Sun Jul 10 06:07:58 2022
% 0.43/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19580_n018.cluster.edu".
% 0.43/0.98 ============================== end of head ===========================
% 0.43/0.98
% 0.43/0.98 ============================== INPUT =================================
% 0.43/0.98
% 0.43/0.98 % Reading from file /tmp/Prover9_19580_n018.cluster.edu
% 0.43/0.98
% 0.43/0.98 set(prolog_style_variables).
% 0.43/0.98 set(auto2).
% 0.43/0.98 % set(auto2) -> set(auto).
% 0.43/0.98 % set(auto) -> set(auto_inference).
% 0.43/0.98 % set(auto) -> set(auto_setup).
% 0.43/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.43/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.98 % set(auto) -> set(auto_limits).
% 0.43/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.98 % set(auto) -> set(auto_denials).
% 0.43/0.98 % set(auto) -> set(auto_process).
% 0.43/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.43/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.43/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.43/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.43/0.98 % set(auto2) -> assign(stats, some).
% 0.43/0.98 % set(auto2) -> clear(echo_input).
% 0.43/0.98 % set(auto2) -> set(quiet).
% 0.43/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.98 % set(auto2) -> clear(print_given).
% 0.43/0.98 assign(lrs_ticks,-1).
% 0.43/0.98 assign(sos_limit,10000).
% 0.43/0.98 assign(order,kbo).
% 0.43/0.98 set(lex_order_vars).
% 0.43/0.98 clear(print_given).
% 0.43/0.98
% 0.43/0.98 % formulas(sos). % not echoed (6 formulas)
% 0.43/0.98
% 0.43/0.98 ============================== end of input ==========================
% 0.43/0.98
% 0.43/0.98 % From the command line: assign(max_seconds, 300).
% 0.43/0.98
% 0.43/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.98
% 0.43/0.98 % Formulas that are not ordinary clauses:
% 0.43/0.98
% 0.43/0.98 ============================== end of process non-clausal formulas ===
% 0.43/0.98
% 0.43/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.98
% 0.43/0.98 ============================== PREDICATE ELIMINATION =================
% 0.43/0.98
% 0.43/0.98 ============================== end predicate elimination =============
% 0.43/0.98
% 0.43/0.98 Auto_denials: (non-Horn, no changes).
% 0.43/0.98
% 0.43/0.98 Term ordering decisions:
% 0.43/0.98 Function symbol KB weights: tc_nat=1. c_0=1. v_n=1. c_Relation_OId=1. v_m=1. tc_prod=1. c_Suc=1. v_x=1. v_xa=1. c_Pair=1.
% 0.43/0.98
% 0.43/0.98 ============================== end of process initial clauses ========
% 0.43/0.98
% 0.43/0.98 ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.98
% 0.43/0.98 ============================== end of clauses for search =============
% 0.43/0.98
% 0.43/0.98 ============================== SEARCH ================================
% 0.43/0.98
% 0.43/0.98 % Starting search at 0.01 seconds.
% 0.43/0.98
% 0.43/0.98 ============================== PROOF =================================
% 0.43/0.98 % SZS status Unsatisfiable
% 0.43/0.98 % SZS output start Refutation
% 0.43/0.98
% 0.43/0.98 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.43/0.98 % Length of proof is 12.
% 0.43/0.98 % Level of proof is 6.
% 0.43/0.98 % Maximum clause weight is 34.000.
% 0.43/0.98 % Given clauses 10.
% 0.43/0.98
% 0.43/0.98 1 v_Q(v_n) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.43/0.98 2 c_in(c_Pair(A,A,B,B),c_Relation_OId,tc_prod(B,B)) # label(cls_Relation_OIdI_0) # label(axiom). [assumption].
% 0.43/0.98 3 -v_Q(v_m) # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 0.43/0.98 4 -c_in(c_Pair(A,B,C,C),c_Relation_OId,tc_prod(C,C)) | A = B # label(cls_Relation_Opair__in__Id__conv__iff1_0) # label(axiom). [assumption].
% 0.43/0.98 5 c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),A,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_x(A),v_xa(A),tc_nat,tc_nat),A,tc_prod(tc_nat,tc_nat)) | -c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),A,tc_prod(tc_nat,tc_nat)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.43/0.98 6 c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),A,tc_prod(tc_nat,tc_nat)) | -c_in(c_Pair(c_Suc(v_x(A)),c_Suc(v_xa(A)),tc_nat,tc_nat),A,tc_prod(tc_nat,tc_nat)) | -c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),A,tc_prod(tc_nat,tc_nat)) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.43/0.98 7 c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) | c_in(c_Pair(v_x(c_Relation_OId),v_xa(c_Relation_OId),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)). [resolve(5,c,2,a)].
% 0.43/0.98 8 c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) | v_xa(c_Relation_OId) = v_x(c_Relation_OId). [resolve(7,b,4,a),flip(b)].
% 0.43/0.98 9 v_xa(c_Relation_OId) = v_x(c_Relation_OId) | v_m = v_n. [resolve(8,a,4,a),flip(b)].
% 0.43/0.98 10 v_m = v_n | c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)). [para(9(a,1),6(b,1,2,1)),unit_del(c,2),unit_del(d,2)].
% 0.43/0.98 11 v_m = v_n. [resolve(10,b,4,a),flip(b),merge(b)].
% 0.43/0.98 14 $F. [back_rewrite(3),rewrite([11(1)]),unit_del(a,1)].
% 0.43/0.98
% 0.43/0.98 % SZS output end Refutation
% 0.43/0.98 ============================== end of proof ==========================
% 0.43/0.98
% 0.43/0.98 ============================== STATISTICS ============================
% 0.43/0.98
% 0.43/0.98 Given=10. Generated=19. Kept=13. proofs=1.
% 0.43/0.98 Usable=3. Sos=0. Demods=1. Limbo=3, Disabled=13. Hints=0.
% 0.43/0.98 Megabytes=0.04.
% 0.43/0.98 User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.98
% 0.43/0.98 ============================== end of statistics =====================
% 0.43/0.98
% 0.43/0.98 ============================== end of search =========================
% 0.43/0.98
% 0.43/0.98 THEOREM PROVED
% 0.43/0.98 % SZS status Unsatisfiable
% 0.43/0.98
% 0.43/0.98 Exiting with 1 proof.
% 0.43/0.98
% 0.43/0.98 Process 19734 exit (max_proofs) Sun Jul 10 06:07:58 2022
% 0.43/0.98 Prover9 interrupted
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