TSTP Solution File: GRP198-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP198-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 11:18:07 EDT 2022
% Result : Unsatisfiable 9.07s 9.35s
% Output : Refutation 9.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP198-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n014.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 : Tue Jun 14 10:14:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.07/9.35 ============================== Prover9 ===============================
% 9.07/9.35 Prover9 (32) version 2009-11A, November 2009.
% 9.07/9.35 Process 27937 was started by sandbox on n014.cluster.edu,
% 9.07/9.35 Tue Jun 14 10:14:52 2022
% 9.07/9.35 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27784_n014.cluster.edu".
% 9.07/9.35 ============================== end of head ===========================
% 9.07/9.35
% 9.07/9.35 ============================== INPUT =================================
% 9.07/9.35
% 9.07/9.35 % Reading from file /tmp/Prover9_27784_n014.cluster.edu
% 9.07/9.35
% 9.07/9.35 set(prolog_style_variables).
% 9.07/9.35 set(auto2).
% 9.07/9.35 % set(auto2) -> set(auto).
% 9.07/9.35 % set(auto) -> set(auto_inference).
% 9.07/9.35 % set(auto) -> set(auto_setup).
% 9.07/9.35 % set(auto_setup) -> set(predicate_elim).
% 9.07/9.35 % set(auto_setup) -> assign(eq_defs, unfold).
% 9.07/9.35 % set(auto) -> set(auto_limits).
% 9.07/9.35 % set(auto_limits) -> assign(max_weight, "100.000").
% 9.07/9.35 % set(auto_limits) -> assign(sos_limit, 20000).
% 9.07/9.35 % set(auto) -> set(auto_denials).
% 9.07/9.35 % set(auto) -> set(auto_process).
% 9.07/9.35 % set(auto2) -> assign(new_constants, 1).
% 9.07/9.35 % set(auto2) -> assign(fold_denial_max, 3).
% 9.07/9.35 % set(auto2) -> assign(max_weight, "200.000").
% 9.07/9.35 % set(auto2) -> assign(max_hours, 1).
% 9.07/9.35 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 9.07/9.35 % set(auto2) -> assign(max_seconds, 0).
% 9.07/9.35 % set(auto2) -> assign(max_minutes, 5).
% 9.07/9.35 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 9.07/9.35 % set(auto2) -> set(sort_initial_sos).
% 9.07/9.35 % set(auto2) -> assign(sos_limit, -1).
% 9.07/9.35 % set(auto2) -> assign(lrs_ticks, 3000).
% 9.07/9.35 % set(auto2) -> assign(max_megs, 400).
% 9.07/9.35 % set(auto2) -> assign(stats, some).
% 9.07/9.35 % set(auto2) -> clear(echo_input).
% 9.07/9.35 % set(auto2) -> set(quiet).
% 9.07/9.35 % set(auto2) -> clear(print_initial_clauses).
% 9.07/9.35 % set(auto2) -> clear(print_given).
% 9.07/9.35 assign(lrs_ticks,-1).
% 9.07/9.35 assign(sos_limit,10000).
% 9.07/9.35 assign(order,kbo).
% 9.07/9.35 set(lex_order_vars).
% 9.07/9.35 clear(print_given).
% 9.07/9.35
% 9.07/9.35 % formulas(sos). % not echoed (5 formulas)
% 9.07/9.35
% 9.07/9.35 ============================== end of input ==========================
% 9.07/9.35
% 9.07/9.35 % From the command line: assign(max_seconds, 300).
% 9.07/9.35
% 9.07/9.35 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 9.07/9.35
% 9.07/9.35 % Formulas that are not ordinary clauses:
% 9.07/9.35
% 9.07/9.35 ============================== end of process non-clausal formulas ===
% 9.07/9.35
% 9.07/9.35 ============================== PROCESS INITIAL CLAUSES ===============
% 9.07/9.35
% 9.07/9.35 ============================== PREDICATE ELIMINATION =================
% 9.07/9.35
% 9.07/9.35 ============================== end predicate elimination =============
% 9.07/9.35
% 9.07/9.35 Auto_denials:
% 9.07/9.35 % copying label prove_this to answer in negative clause
% 9.07/9.35
% 9.07/9.35 Term ordering decisions:
% 9.07/9.35 Function symbol KB weights: a=1. b=1. multiply=1.
% 9.07/9.35
% 9.07/9.35 ============================== end of process initial clauses ========
% 9.07/9.35
% 9.07/9.35 ============================== CLAUSES FOR SEARCH ====================
% 9.07/9.35
% 9.07/9.35 ============================== end of clauses for search =============
% 9.07/9.35
% 9.07/9.35 ============================== SEARCH ================================
% 9.07/9.35
% 9.07/9.35 % Starting search at 0.01 seconds.
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=187.000, iters=3475
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=167.000, iters=3389
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=155.000, iters=3358
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=126.000, iters=3440
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=122.000, iters=3405
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=115.000, iters=3413
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=107.000, iters=3472
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=106.000, iters=3429
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=99.000, iters=3333
% 9.07/9.35
% 9.07/9.35 Low Water (keep): wt=91.000, iters=3362
% 9.07/9.35
% 9.07/9.35 ============================== PROOF =================================
% 9.07/9.35 % SZS status Unsatisfiable
% 9.07/9.35 % SZS output start Refutation
% 9.07/9.35
% 9.07/9.35 % Proof 1 at 8.36 (+ 0.03) seconds: prove_this.
% 9.07/9.35 % Length of proof is 20.
% 9.07/9.35 % Level of proof is 6.
% 9.07/9.35 % Maximum clause weight is 47.000.
% 9.07/9.35 % Given clauses 128.
% 9.07/9.35
% 9.07/9.35 1 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)) # label(associativity_of_multiply) # label(axiom). [assumption].
% 9.07/9.35 2 multiply(A,multiply(B,multiply(B,multiply(B,multiply(A,B))))) = multiply(B,multiply(B,multiply(B,multiply(B,multiply(A,A))))) # label(condition) # label(hypothesis). [assumption].
% 9.07/9.35 3 multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,a))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 9.07/9.36 4 multiply(A,B) != multiply(C,B) | A = C # label(right_cancellation) # label(axiom). [assumption].
% 9.07/9.36 5 multiply(A,B) != multiply(A,C) | B = C # label(left_cancellation) # label(axiom). [assumption].
% 9.07/9.36 6 multiply(A,multiply(B,multiply(B,multiply(B,multiply(A,multiply(B,C)))))) = multiply(B,multiply(B,multiply(B,multiply(B,multiply(A,multiply(A,C)))))). [para(2(a,1),1(a,1,1)),rewrite([1(6),1(5),1(4),1(3),1(2),1(11),1(10),1(9),1(8)]),flip(a)].
% 9.07/9.36 7 multiply(A,multiply(B,multiply(C,multiply(C,multiply(C,multiply(A,multiply(B,C))))))) = multiply(C,multiply(C,multiply(C,multiply(C,multiply(A,multiply(B,multiply(A,B))))))). [para(2(a,1),1(a,1)),rewrite([1(3),1(9)]),flip(a)].
% 9.07/9.36 12 multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,A)))))) != multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,A)))))) # answer(prove_this). [ur(4,b,3,a),rewrite([1(12),1(11),1(10),1(9),1(8),1(24),1(23),1(22),1(21),1(20)])].
% 9.07/9.36 19 multiply(A,multiply(B,C)) != multiply(A,multiply(B,D)) | C = D. [para(1(a,1),5(a,1)),rewrite([1(4)])].
% 9.07/9.36 22 multiply(A,multiply(B,multiply(C,multiply(C,multiply(C,multiply(A,multiply(B,multiply(C,D)))))))) = multiply(C,multiply(C,multiply(C,multiply(C,multiply(A,multiply(B,multiply(A,multiply(B,D)))))))). [para(6(a,1),1(a,1)),rewrite([1(3),1(4),1(11)]),flip(a)].
% 9.07/9.36 42 multiply(A,multiply(A,multiply(A,multiply(A,multiply(B,multiply(B,C)))))) != multiply(B,D) | multiply(A,multiply(A,multiply(A,multiply(B,multiply(A,C))))) = D. [para(6(a,1),5(a,1))].
% 9.07/9.36 54 multiply(A,multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,B))))))) != multiply(A,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,B))))))) # answer(prove_this). [ur(5,b,12,a)].
% 9.07/9.36 110 multiply(A,multiply(B,multiply(C,D))) != multiply(A,multiply(B,multiply(C,E))) | D = E. [para(1(a,1),19(a,1,2)),rewrite([1(5)])].
% 9.07/9.36 151 multiply(A,multiply(B,multiply(B,multiply(B,multiply(B,multiply(A,B)))))) = multiply(B,multiply(B,multiply(B,multiply(B,multiply(A,multiply(B,A)))))). [hyper(5,a,7,a)].
% 9.07/9.36 6029 multiply(A,multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,b)))))))) != multiply(A,multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,a)))))))) # answer(prove_this). [para(151(a,1),54(a,2,2,2))].
% 9.07/9.36 7245 multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,a)))))))) != multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,b)))))))) # answer(prove_this). [para(22(a,1),6029(a,2)),flip(a)].
% 9.07/9.36 7618 multiply(A,multiply(B,multiply(B,multiply(B,multiply(A,multiply(A,B)))))) = multiply(B,multiply(B,multiply(B,multiply(A,multiply(B,multiply(A,A)))))). [hyper(42,a,7,a(flip)),flip(a)].
% 9.07/9.36 8097 multiply(A,multiply(B,multiply(C,multiply(b,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,a))))))))))) != multiply(A,multiply(B,multiply(C,multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,b))))))))))) # answer(prove_this). [ur(110,b,7245,a)].
% 9.07/9.36 8274 multiply(A,multiply(B,multiply(B,multiply(B,multiply(A,multiply(C,multiply(B,multiply(B,multiply(B,multiply(C,multiply(C,B))))))))))) = multiply(B,multiply(B,multiply(B,multiply(B,multiply(A,multiply(A,multiply(B,multiply(B,multiply(C,multiply(B,multiply(C,C))))))))))). [para(7618(a,2),6(a,1,2,2,2,2,2))].
% 9.07/9.36 8275 $F # answer(prove_this). [resolve(8274,a,8097,a(flip))].
% 9.07/9.36
% 9.07/9.36 % SZS output end Refutation
% 9.07/9.36 ============================== end of proof ==========================
% 9.07/9.36
% 9.07/9.36 ============================== STATISTICS ============================
% 9.07/9.36
% 9.07/9.36 Given=128. Generated=22435. Kept=8274. proofs=1.
% 9.07/9.36 Usable=126. Sos=7926. Demods=1. Limbo=14, Disabled=212. Hints=0.
% 9.07/9.36 Megabytes=24.39.
% 9.07/9.36 User_CPU=8.36, System_CPU=0.03, Wall_clock=8.
% 9.07/9.36
% 9.07/9.36 ============================== end of statistics =====================
% 9.07/9.36
% 9.07/9.36 ============================== end of search =========================
% 9.07/9.36
% 9.07/9.36 THEOREM PROVED
% 9.07/9.36 % SZS status Unsatisfiable
% 9.07/9.36
% 9.07/9.36 Exiting with 1 proof.
% 9.07/9.36
% 9.07/9.36 Process 27937 exit (max_proofs) Tue Jun 14 10:15:00 2022
% 9.07/9.36 Prover9 interrupted
%------------------------------------------------------------------------------