TSTP Solution File: GRP658-10 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP658-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 : Sat Jul 16 11:20:21 EDT 2022
% Result : Unsatisfiable 0.88s 1.18s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP658-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n028.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 : Tue Jun 14 02:08:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.18 ============================== Prover9 ===============================
% 0.88/1.18 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.18 Process 7006 was started by sandbox on n028.cluster.edu,
% 0.88/1.18 Tue Jun 14 02:08:24 2022
% 0.88/1.18 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6853_n028.cluster.edu".
% 0.88/1.18 ============================== end of head ===========================
% 0.88/1.18
% 0.88/1.18 ============================== INPUT =================================
% 0.88/1.18
% 0.88/1.18 % Reading from file /tmp/Prover9_6853_n028.cluster.edu
% 0.88/1.18
% 0.88/1.18 set(prolog_style_variables).
% 0.88/1.18 set(auto2).
% 0.88/1.18 % set(auto2) -> set(auto).
% 0.88/1.18 % set(auto) -> set(auto_inference).
% 0.88/1.18 % set(auto) -> set(auto_setup).
% 0.88/1.18 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.18 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.18 % set(auto) -> set(auto_limits).
% 0.88/1.18 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.18 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.18 % set(auto) -> set(auto_denials).
% 0.88/1.18 % set(auto) -> set(auto_process).
% 0.88/1.18 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.18 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.18 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.18 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.18 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.18 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.18 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.18 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.18 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.18 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.18 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.18 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.18 % set(auto2) -> assign(stats, some).
% 0.88/1.18 % set(auto2) -> clear(echo_input).
% 0.88/1.18 % set(auto2) -> set(quiet).
% 0.88/1.18 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.18 % set(auto2) -> clear(print_given).
% 0.88/1.18 assign(lrs_ticks,-1).
% 0.88/1.18 assign(sos_limit,10000).
% 0.88/1.18 assign(order,kbo).
% 0.88/1.18 set(lex_order_vars).
% 0.88/1.18 clear(print_given).
% 0.88/1.18
% 0.88/1.18 % formulas(sos). % not echoed (6 formulas)
% 0.88/1.18
% 0.88/1.18 ============================== end of input ==========================
% 0.88/1.18
% 0.88/1.18 % From the command line: assign(max_seconds, 300).
% 0.88/1.18
% 0.88/1.18 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.18
% 0.88/1.18 % Formulas that are not ordinary clauses:
% 0.88/1.18
% 0.88/1.18 ============================== end of process non-clausal formulas ===
% 0.88/1.18
% 0.88/1.18 ============================== PROCESS INITIAL CLAUSES ===============
% 0.88/1.18
% 0.88/1.18 ============================== PREDICATE ELIMINATION =================
% 0.88/1.18
% 0.88/1.18 ============================== end predicate elimination =============
% 0.88/1.18
% 0.88/1.18 Auto_denials:
% 0.88/1.18 % copying label goal to answer in negative clause
% 0.88/1.18
% 0.88/1.18 Term ordering decisions:
% 0.88/1.18 Function symbol KB weights: mult=1. ld=1. rd=1. tuple=1. x1=1. x1_2=1.
% 0.88/1.18
% 0.88/1.18 ============================== end of process initial clauses ========
% 0.88/1.18
% 0.88/1.18 ============================== CLAUSES FOR SEARCH ====================
% 0.88/1.18
% 0.88/1.18 ============================== end of clauses for search =============
% 0.88/1.18
% 0.88/1.18 ============================== SEARCH ================================
% 0.88/1.18
% 0.88/1.18 % Starting search at 0.01 seconds.
% 0.88/1.18
% 0.88/1.18 ============================== PROOF =================================
% 0.88/1.18 % SZS status Unsatisfiable
% 0.88/1.18 % SZS output start Refutation
% 0.88/1.18
% 0.88/1.18 % Proof 1 at 0.23 (+ 0.00) seconds: goal.
% 0.88/1.18 % Length of proof is 28.
% 0.88/1.18 % Level of proof is 12.
% 0.88/1.18 % Maximum clause weight is 15.000.
% 0.88/1.18 % Given clauses 68.
% 0.88/1.18
% 0.88/1.18 1 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [assumption].
% 0.88/1.18 2 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [assumption].
% 0.88/1.18 3 mult(rd(A,B),B) = A # label(f03) # label(axiom). [assumption].
% 0.88/1.18 4 rd(mult(A,B),B) = A # label(f04) # label(axiom). [assumption].
% 0.88/1.18 5 mult(mult(A,mult(B,B)),C) = mult(mult(A,B),mult(B,C)) # label(f05) # label(axiom). [assumption].
% 0.88/1.18 6 tuple(mult(A,x1(A)),mult(x1_2(A),A)) != tuple(x1(A),x1_2(A)) # label(goal) # label(negated_conjecture) # answer(goal). [assumption].
% 0.88/1.18 8 rd(A,ld(B,A)) = B. [para(1(a,1),4(a,1,1))].
% 0.88/1.18 11 mult(mult(rd(A,mult(B,B)),B),mult(B,C)) = mult(A,C). [para(3(a,1),5(a,1,1)),flip(a)].
% 0.88/1.18 12 rd(mult(mult(A,B),mult(B,C)),C) = mult(A,mult(B,B)). [para(5(a,1),4(a,1,1))].
% 0.88/1.18 44 mult(mult(rd(A,mult(B,B)),B),C) = mult(A,ld(B,C)). [para(1(a,1),11(a,1,2))].
% 0.88/1.18 55 rd(mult(mult(A,B),C),ld(B,C)) = mult(A,mult(B,B)). [para(1(a,1),12(a,1,1,2))].
% 0.88/1.18 56 rd(mult(A,mult(B,C)),C) = mult(rd(A,B),mult(B,B)). [para(3(a,1),12(a,1,1,1))].
% 0.88/1.18 90 rd(mult(A,ld(B,C)),C) = mult(rd(A,mult(B,B)),B). [para(44(a,1),4(a,1,1))].
% 0.88/1.18 330 rd(A,A) = mult(rd(B,mult(B,B)),B). [para(1(a,1),90(a,1,1))].
% 0.88/1.18 397 rd(A,A) = c_0. [new_symbol(330)].
% 0.88/1.18 551 mult(c_0,A) = A. [para(397(a,1),3(a,1,1))].
% 0.88/1.18 562 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(551(a,1),5(a,1,1)),rewrite([551(4)])].
% 0.88/1.18 563 tuple(x1(c_0),mult(x1_2(c_0),c_0)) != tuple(x1(c_0),x1_2(c_0)) # answer(goal). [para(551(a,1),6(a,1,1))].
% 0.88/1.18 567 rd(mult(A,B),ld(A,B)) = mult(A,A). [para(551(a,1),55(a,1,1,1)),rewrite([551(6)])].
% 0.88/1.18 568 mult(rd(c_0,A),mult(A,A)) = A. [para(551(a,1),56(a,1,1)),rewrite([4(2)]),flip(a)].
% 0.88/1.18 697 ld(rd(c_0,A),A) = mult(A,A). [para(568(a,1),2(a,1,2))].
% 0.88/1.18 717 mult(rd(rd(c_0,A),A),mult(A,A)) = c_0. [para(568(a,1),56(a,1,1)),rewrite([397(1)]),flip(a)].
% 0.88/1.18 736 mult(ld(A,c_0),ld(A,c_0)) = ld(A,ld(A,c_0)). [para(8(a,1),697(a,1,1)),flip(a)].
% 0.88/1.18 862 rd(A,ld(B,ld(B,A))) = mult(B,B). [para(1(a,1),567(a,1,1))].
% 0.88/1.18 885 rd(rd(c_0,A),A) = rd(c_0,mult(A,A)). [para(717(a,1),4(a,1,1)),flip(a)].
% 0.88/1.18 972 rd(A,ld(A,c_0)) = mult(A,A). [para(8(a,1),885(a,1,1)),rewrite([736(9),862(8)])].
% 0.88/1.18 994 mult(A,c_0) = A. [para(972(a,1),3(a,1,1)),rewrite([562(4),1(3)])].
% 0.88/1.18 1022 $F # answer(goal). [back_rewrite(563),rewrite([994(6)]),xx(a)].
% 0.88/1.18
% 0.88/1.18 % SZS output end Refutation
% 0.88/1.18 ============================== end of proof ==========================
% 0.88/1.18
% 0.88/1.18 ============================== STATISTICS ============================
% 0.88/1.18
% 0.88/1.18 Given=68. Generated=3060. Kept=1021. proofs=1.
% 0.88/1.18 Usable=57. Sos=618. Demods=187. Limbo=28, Disabled=324. Hints=0.
% 0.88/1.18 Megabytes=3.48.
% 0.88/1.18 User_CPU=0.23, System_CPU=0.00, Wall_clock=0.
% 0.88/1.18
% 0.88/1.18 ============================== end of statistics =====================
% 0.88/1.18
% 0.88/1.18 ============================== end of search =========================
% 0.88/1.18
% 0.88/1.18 THEOREM PROVED
% 0.88/1.18 % SZS status Unsatisfiable
% 0.88/1.18
% 0.88/1.18 Exiting with 1 proof.
% 0.88/1.18
% 0.88/1.18 Process 7006 exit (max_proofs) Tue Jun 14 02:08:24 2022
% 0.88/1.18 Prover9 interrupted
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