TSTP Solution File: GRP750-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP750-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sat Jul 16 11:20:54 EDT 2022
% Result : Unsatisfiable 4.44s 4.70s
% Output : Refutation 4.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP750-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 00:31:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 4.44/4.70 ============================== Prover9 ===============================
% 4.44/4.70 Prover9 (32) version 2009-11A, November 2009.
% 4.44/4.70 Process 22893 was started by sandbox on n007.cluster.edu,
% 4.44/4.70 Tue Jun 14 00:31:10 2022
% 4.44/4.70 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_22740_n007.cluster.edu".
% 4.44/4.70 ============================== end of head ===========================
% 4.44/4.70
% 4.44/4.70 ============================== INPUT =================================
% 4.44/4.70
% 4.44/4.70 % Reading from file /tmp/Prover9_22740_n007.cluster.edu
% 4.44/4.70
% 4.44/4.70 set(prolog_style_variables).
% 4.44/4.70 set(auto2).
% 4.44/4.70 % set(auto2) -> set(auto).
% 4.44/4.70 % set(auto) -> set(auto_inference).
% 4.44/4.70 % set(auto) -> set(auto_setup).
% 4.44/4.70 % set(auto_setup) -> set(predicate_elim).
% 4.44/4.70 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.44/4.70 % set(auto) -> set(auto_limits).
% 4.44/4.70 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.44/4.70 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.44/4.70 % set(auto) -> set(auto_denials).
% 4.44/4.70 % set(auto) -> set(auto_process).
% 4.44/4.70 % set(auto2) -> assign(new_constants, 1).
% 4.44/4.70 % set(auto2) -> assign(fold_denial_max, 3).
% 4.44/4.70 % set(auto2) -> assign(max_weight, "200.000").
% 4.44/4.70 % set(auto2) -> assign(max_hours, 1).
% 4.44/4.70 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.44/4.70 % set(auto2) -> assign(max_seconds, 0).
% 4.44/4.70 % set(auto2) -> assign(max_minutes, 5).
% 4.44/4.70 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.44/4.70 % set(auto2) -> set(sort_initial_sos).
% 4.44/4.70 % set(auto2) -> assign(sos_limit, -1).
% 4.44/4.70 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.44/4.70 % set(auto2) -> assign(max_megs, 400).
% 4.44/4.70 % set(auto2) -> assign(stats, some).
% 4.44/4.70 % set(auto2) -> clear(echo_input).
% 4.44/4.70 % set(auto2) -> set(quiet).
% 4.44/4.70 % set(auto2) -> clear(print_initial_clauses).
% 4.44/4.70 % set(auto2) -> clear(print_given).
% 4.44/4.70 assign(lrs_ticks,-1).
% 4.44/4.70 assign(sos_limit,10000).
% 4.44/4.70 assign(order,kbo).
% 4.44/4.70 set(lex_order_vars).
% 4.44/4.70 clear(print_given).
% 4.44/4.70
% 4.44/4.70 % formulas(sos). % not echoed (7 formulas)
% 4.44/4.70
% 4.44/4.70 ============================== end of input ==========================
% 4.44/4.70
% 4.44/4.70 % From the command line: assign(max_seconds, 300).
% 4.44/4.70
% 4.44/4.70 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.44/4.70
% 4.44/4.70 % Formulas that are not ordinary clauses:
% 4.44/4.70
% 4.44/4.70 ============================== end of process non-clausal formulas ===
% 4.44/4.70
% 4.44/4.70 ============================== PROCESS INITIAL CLAUSES ===============
% 4.44/4.70
% 4.44/4.70 ============================== PREDICATE ELIMINATION =================
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% 4.44/4.70 ============================== end predicate elimination =============
% 4.44/4.70
% 4.44/4.70 Auto_denials:
% 4.44/4.70 % copying label goals to answer in negative clause
% 4.44/4.70
% 4.44/4.70 Term ordering decisions:
% 4.44/4.70 Function symbol KB weights: a=1. b=1. c=1. mult=1. ld=1. rd=1.
% 4.44/4.70
% 4.44/4.70 ============================== end of process initial clauses ========
% 4.44/4.70
% 4.44/4.70 ============================== CLAUSES FOR SEARCH ====================
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% 4.44/4.70 ============================== end of clauses for search =============
% 4.44/4.70
% 4.44/4.70 ============================== SEARCH ================================
% 4.44/4.70
% 4.44/4.70 % Starting search at 0.01 seconds.
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=79.000, iters=3548
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=75.000, iters=3484
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=71.000, iters=3407
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=63.000, iters=3386
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=59.000, iters=3412
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=55.000, iters=3344
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=51.000, iters=3395
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=47.000, iters=3445
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=43.000, iters=3378
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=39.000, iters=3348
% 4.44/4.70
% 4.44/4.70 Low Water (displace): id=5152, wt=99.000
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% 4.44/4.70 Low Water (displace): id=5443, wt=95.000
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% 4.44/4.70 Low Water (displace): id=5457, wt=91.000
% 4.44/4.70
% 4.44/4.70 Low Water (displace): id=6433, wt=87.000
% 4.44/4.70
% 4.44/4.70 Low Water (displace): id=6414, wt=83.000
% 4.44/4.70
% 4.44/4.70 Low Water (displace): id=12189, wt=35.000
% 4.44/4.70
% 4.44/4.70 Low Water (displace): id=12194, wt=31.000
% 4.44/4.70
% 4.44/4.70 Low Water (displace): id=12205, wt=27.000
% 4.44/4.70
% 4.44/4.70 Low Water (keep): wt=35.000, iters=3362
% 4.44/4.70
% 4.44/4.70 ============================== PROOF =================================
% 4.44/4.70 % SZS status Unsatisfiable
% 4.44/4.70 % SZS output start Refutation
% 4.44/4.70
% 4.44/4.70 % Proof 1 at 3.72 (+ 0.04) seconds: goals.
% 4.44/4.70 % Length of proof is 41.
% 4.44/4.70 % Level of proof is 14.
% 4.44/4.70 % Maximum clause weight is 27.000.
% 4.44/4.70 % Given clauses 155.
% 4.44/4.70
% 4.44/4.70 1 mult(A,ld(A,B)) = B # label(f01) # label(axiom). [assumption].
% 4.44/4.70 2 ld(A,mult(A,B)) = B # label(f02) # label(axiom). [assumption].
% 4.44/4.70 3 mult(rd(A,B),B) = A # label(f03) # label(axiom). [assumption].
% 4.44/4.70 4 rd(mult(A,B),B) = A # label(f04) # label(axiom). [assumption].
% 4.44/4.70 5 mult(mult(A,B),mult(C,C)) = mult(mult(A,C),mult(B,C)) # label(f06) # label(axiom). [assumption].
% 4.44/4.70 6 mult(mult(A,mult(A,A)),mult(B,C)) = mult(mult(A,B),mult(mult(A,A),C)) # label(f05) # label(axiom). [assumption].
% 4.44/4.70 7 mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 4.44/4.70 8 mult(mult(a,b),mult(a,c)) != mult(mult(a,a),mult(b,c)) # answer(goals). [copy(7),flip(a)].
% 4.44/4.70 9 ld(rd(A,B),A) = B. [para(3(a,1),2(a,1,2))].
% 4.44/4.70 10 rd(A,ld(B,A)) = B. [para(1(a,1),4(a,1,1))].
% 4.44/4.70 11 mult(mult(A,B),mult(ld(A,C),B)) = mult(C,mult(B,B)). [para(1(a,1),5(a,1,1)),flip(a)].
% 4.44/4.70 16 mult(mult(rd(A,B),C),mult(B,C)) = mult(A,mult(C,C)). [para(3(a,1),5(a,1,1)),flip(a)].
% 4.44/4.70 17 mult(mult(rd(A,B),C),mult(B,B)) = mult(A,mult(C,B)). [para(3(a,1),5(a,2,1))].
% 4.44/4.70 36 rd(mult(mult(A,B),mult(mult(A,A),C)),mult(B,C)) = mult(A,mult(A,A)). [para(6(a,1),4(a,1,1))].
% 4.44/4.70 60 ld(mult(A,B),mult(C,mult(B,B))) = mult(ld(A,C),B). [para(11(a,1),2(a,1,2))].
% 4.44/4.70 96 mult(mult(rd(A,rd(B,C)),C),B) = mult(A,mult(C,C)). [para(3(a,1),16(a,1,2))].
% 4.44/4.70 131 rd(mult(A,mult(B,C)),mult(C,C)) = mult(rd(A,C),B). [para(17(a,1),4(a,1,1))].
% 4.44/4.70 161 ld(A,mult(B,mult(C,C))) = mult(ld(rd(A,C),B),C). [para(3(a,1),60(a,1,1))].
% 4.44/4.70 162 mult(ld(A,rd(B,mult(C,C))),C) = ld(mult(A,C),B). [para(3(a,1),60(a,1,2)),flip(a)].
% 4.44/4.70 250 rd(mult(A,mult(B,B)),C) = mult(rd(A,rd(C,B)),B). [para(96(a,1),4(a,1,1))].
% 4.44/4.70 385 rd(mult(A,B),mult(C,C)) = mult(rd(A,C),rd(B,C)). [para(3(a,1),131(a,1,1,2))].
% 4.44/4.70 388 mult(rd(mult(A,B),C),mult(A,A)) = mult(mult(rd(A,rd(C,A)),A),B). [para(6(a,1),131(a,1,1)),rewrite([385(6),4(5),250(7)])].
% 4.44/4.70 411 rd(ld(mult(A,B),C),B) = ld(A,rd(C,mult(B,B))). [para(162(a,1),4(a,1,1))].
% 4.44/4.70 855 ld(rd(A,B),rd(C,mult(B,B))) = rd(ld(A,C),B). [para(3(a,1),411(a,1,1,1)),flip(a)].
% 4.44/4.70 1213 ld(rd(A,B),mult(rd(C,B),rd(D,B))) = rd(ld(A,mult(C,D)),B). [para(385(a,1),855(a,1,2))].
% 4.44/4.70 2036 mult(rd(mult(A,B),mult(rd(B,A),C)),mult(A,C)) = mult(A,mult(A,A)). [para(5(a,1),36(a,1,1,2)),rewrite([250(8),250(5),4(3)])].
% 4.44/4.70 5597 mult(ld(rd(A,rd(B,A)),rd(mult(A,C),B)),A) = C. [para(388(a,2),2(a,1,2)),rewrite([161(8),4(4)])].
% 4.44/4.70 5599 mult(rd(A,rd(B,A)),rd(C,A)) = rd(mult(A,C),B). [para(388(a,1),4(a,1,1)),rewrite([385(6),4(4)])].
% 4.44/4.70 5946 mult(mult(ld(rd(rd(mult(A,B),rd(mult(B,C),mult(A,B))),A),A),A),mult(A,B)) = mult(mult(A,A),C). [para(36(a,1),5597(a,1,1,2)),rewrite([161(8)])].
% 4.44/4.70 5956 rd(rd(mult(A,B),C),rd(B,A)) = rd(A,rd(C,A)). [para(5599(a,1),4(a,1,1))].
% 4.44/4.70 5957 rd(mult(A,B),mult(C,A)) = mult(rd(A,C),rd(B,A)). [para(4(a,1),5599(a,1,1,2)),flip(a)].
% 4.44/4.70 6037 mult(mult(ld(rd(rd(mult(A,B),mult(rd(B,A),rd(C,B))),A),A),A),mult(A,B)) = mult(mult(A,A),C). [back_rewrite(5946),rewrite([5957(4)])].
% 4.44/4.70 6502 rd(A,rd(ld(B,mult(A,C)),A)) = rd(B,rd(C,A)). [para(10(a,1),5956(a,1,1)),flip(a)].
% 4.44/4.70 6574 mult(mult(rd(A,B),rd(C,A)),mult(B,A)) = mult(A,C). [para(5957(a,1),3(a,1,1))].
% 4.44/4.70 7275 rd(ld(A,mult(B,C)),B) = ld(rd(A,rd(C,B)),B). [para(6502(a,1),9(a,1,1)),flip(a)].
% 4.44/4.70 7663 mult(ld(rd(A,rd(B,C)),C),C) = ld(A,mult(C,B)). [para(6574(a,1),161(a,1,2)),rewrite([1213(7),7275(5)]),flip(a)].
% 4.44/4.70 9449 ld(A,mult(B,mult(C,B))) = mult(ld(rd(A,C),B),B). [para(4(a,1),7663(a,1,1,1,2)),flip(a)].
% 4.44/4.70 13887 mult(ld(rd(rd(mult(A,B),mult(rd(B,A),C)),A),A),A) = mult(A,C). [para(2036(a,1),2(a,1,2)),rewrite([9449(7)])].
% 4.44/4.70 13969 mult(mult(A,rd(B,C)),mult(A,C)) = mult(mult(A,A),B). [back_rewrite(6037),rewrite([13887(8)])].
% 4.44/4.70 13975 mult(mult(A,B),mult(A,C)) = mult(mult(A,A),mult(B,C)). [para(4(a,1),13969(a,1,1,2))].
% 4.44/4.70 13976 $F # answer(goals). [resolve(13975,a,8,a)].
% 4.44/4.70
% 4.44/4.70 % SZS output end Refutation
% 4.44/4.70 ============================== end of proof ==========================
% 4.44/4.70
% 4.44/4.70 ============================== STATISTICS ============================
% 4.44/4.70
% 4.44/4.70 Given=155. Generated=60855. Kept=13974. proofs=1.
% 4.44/4.70 Usable=138. Sos=9999. Demods=5967. Limbo=5, Disabled=3838. Hints=0.
% 4.44/4.70 Megabytes=22.49.
% 4.44/4.70 User_CPU=3.72, System_CPU=0.04, Wall_clock=3.
% 4.44/4.70
% 4.44/4.70 ============================== end of statistics =====================
% 4.44/4.70
% 4.44/4.70 ============================== end of search =========================
% 4.44/4.70
% 4.44/4.70 THEOREM PROVED
% 4.44/4.70 % SZS status Unsatisfiable
% 4.44/4.70
% 4.44/4.70 Exiting with 1 proof.
% 4.44/4.70
% 4.44/4.70 Process 22893 exit (max_proofs) Tue Jun 14 00:31:13 2022
% 4.44/4.70 Prover9 interrupted
%------------------------------------------------------------------------------