TSTP Solution File: COL110-2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL110-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 : Fri Jul 15 00:40:05 EDT 2022
% Result : Unsatisfiable 0.46s 1.02s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL110-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 09:30:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.02 ============================== Prover9 ===============================
% 0.46/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.02 Process 22593 was started by sandbox2 on n025.cluster.edu,
% 0.46/1.02 Tue May 31 09:30:58 2022
% 0.46/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22439_n025.cluster.edu".
% 0.46/1.02 ============================== end of head ===========================
% 0.46/1.02
% 0.46/1.02 ============================== INPUT =================================
% 0.46/1.02
% 0.46/1.02 % Reading from file /tmp/Prover9_22439_n025.cluster.edu
% 0.46/1.02
% 0.46/1.02 set(prolog_style_variables).
% 0.46/1.02 set(auto2).
% 0.46/1.02 % set(auto2) -> set(auto).
% 0.46/1.02 % set(auto) -> set(auto_inference).
% 0.46/1.02 % set(auto) -> set(auto_setup).
% 0.46/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.02 % set(auto) -> set(auto_limits).
% 0.46/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.02 % set(auto) -> set(auto_denials).
% 0.46/1.02 % set(auto) -> set(auto_process).
% 0.46/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.02 % set(auto2) -> assign(stats, some).
% 0.46/1.02 % set(auto2) -> clear(echo_input).
% 0.46/1.02 % set(auto2) -> set(quiet).
% 0.46/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.02 % set(auto2) -> clear(print_given).
% 0.46/1.02 assign(lrs_ticks,-1).
% 0.46/1.02 assign(sos_limit,10000).
% 0.46/1.02 assign(order,kbo).
% 0.46/1.02 set(lex_order_vars).
% 0.46/1.02 clear(print_given).
% 0.46/1.02
% 0.46/1.02 % formulas(sos). % not echoed (8 formulas)
% 0.46/1.02
% 0.46/1.02 ============================== end of input ==========================
% 0.46/1.02
% 0.46/1.02 % From the command line: assign(max_seconds, 300).
% 0.46/1.02
% 0.46/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.02
% 0.46/1.02 % Formulas that are not ordinary clauses:
% 0.46/1.02
% 0.46/1.02 ============================== end of process non-clausal formulas ===
% 0.46/1.02
% 0.46/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.02
% 0.46/1.02 ============================== PREDICATE ELIMINATION =================
% 0.46/1.02
% 0.46/1.02 ============================== end predicate elimination =============
% 0.46/1.02
% 0.46/1.02 Auto_denials:
% 0.46/1.02 % copying label cls_conjecture_4 to answer in negative clause
% 0.46/1.02
% 0.46/1.02 Term ordering decisions:
% 0.46/1.02 Function symbol KB weights: tc_Comb_Ocomb=1. c_Comb_Oparcontract=1. v_x=1. v_z=1. v_w=1. v_wa=1. v_ya=1. v_yb=1. tc_prod=1. c_Comb_Ocomb_Oop_A_D_D=1. v_xaa=1. v_xb=1. c_Pair=1.
% 0.46/1.02
% 0.46/1.02 ============================== end of process initial clauses ========
% 0.46/1.02
% 0.46/1.02 ============================== CLAUSES FOR SEARCH ====================
% 0.46/1.02
% 0.46/1.02 ============================== end of clauses for search =============
% 0.46/1.02
% 0.46/1.02 ============================== SEARCH ================================
% 0.46/1.02
% 0.46/1.02 % Starting search at 0.01 seconds.
% 0.46/1.02
% 0.46/1.02 ============================== PROOF =================================
% 0.46/1.02 % SZS status Unsatisfiable
% 0.46/1.02 % SZS output start Refutation
% 0.46/1.02
% 0.46/1.02 % Proof 1 at 0.02 (+ 0.00) seconds: cls_conjecture_4.
% 0.46/1.02 % Length of proof is 15.
% 0.46/1.02 % Level of proof is 3.
% 0.46/1.02 % Maximum clause weight is 34.000.
% 0.46/1.02 % Given clauses 18.
% 0.46/1.02
% 0.46/1.02 1 c_in(c_Pair(v_x,v_yb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_conjecture_2) # label(negated_conjecture). [assumption].
% 0.46/1.02 2 c_in(c_Pair(v_z,v_wa,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 0.46/1.02 3 -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_conjecture_4) # label(negated_conjecture) # answer(cls_conjecture_4). [assumption].
% 0.46/1.02 4 c_in(c_Pair(v_ya,v_xb(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(v_x,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 0.46/1.02 5 c_in(c_Pair(A,v_xb(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(v_x,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_conjecture_6) # label(negated_conjecture). [assumption].
% 0.46/1.02 6 c_in(c_Pair(v_w,v_xaa(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(v_z,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_conjecture_7) # label(negated_conjecture). [assumption].
% 0.46/1.02 7 c_in(c_Pair(A,v_xaa(A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(v_z,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_conjecture_8) # label(negated_conjecture). [assumption].
% 0.46/1.02 8 -c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(C,D,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(C,A),c_Comb_Ocomb_Oop_A_D_D(D,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # label(cls_Comb_Oparcontract_Ointros__4_0) # label(axiom). [assumption].
% 0.46/1.02 9 c_in(c_Pair(v_ya,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)). [ur(4,b,1,a)].
% 0.46/1.02 12 c_in(c_Pair(v_yb,v_xb(v_yb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)). [ur(5,b,1,a)].
% 0.46/1.02 13 c_in(c_Pair(v_w,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)). [ur(6,b,2,a)].
% 0.46/1.02 16 c_in(c_Pair(v_wa,v_xaa(v_wa),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)). [ur(7,b,2,a)].
% 0.46/1.02 17 -c_in(c_Pair(v_w,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(v_ya,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),c_Comb_Ocomb_Oop_A_D_D(B,A),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) # answer(cls_conjecture_4). [resolve(8,c,3,b)].
% 0.46/1.02 51 c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_wa),c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb),v_xaa(v_wa)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)). [ur(8,a,16,a,b,12,a)].
% 0.46/1.02 77 $F # answer(cls_conjecture_4). [ur(17,a,13,a,b,9,a),unit_del(a,51)].
% 0.46/1.02
% 0.46/1.02 % SZS output end Refutation
% 0.46/1.02 ============================== end of proof ==========================
% 0.46/1.02
% 0.46/1.02 ============================== STATISTICS ============================
% 0.46/1.02
% 0.46/1.02 Given=18. Generated=82. Kept=76. proofs=1.
% 0.46/1.02 Usable=18. Sos=49. Demods=0. Limbo=9, Disabled=8. Hints=0.
% 0.46/1.02 Megabytes=0.13.
% 0.46/1.02 User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.46/1.02
% 0.46/1.02 ============================== end of statistics =====================
% 0.46/1.02
% 0.46/1.02 ============================== end of search =========================
% 0.46/1.02
% 0.46/1.02 THEOREM PROVED
% 0.46/1.02 % SZS status Unsatisfiable
% 0.46/1.02
% 0.46/1.02 Exiting with 1 proof.
% 0.46/1.02
% 0.46/1.02 Process 22593 exit (max_proofs) Tue May 31 09:30:58 2022
% 0.46/1.02 Prover9 interrupted
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