TSTP Solution File: RNG025-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : RNG025-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:39:12 EDT 2022
% Result : Unsatisfiable 8.64s 8.93s
% Output : Refutation 8.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n025.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 : Mon May 30 09:16:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.20/4.53 ============================== Prover9 ===============================
% 4.20/4.53 Prover9 (32) version 2009-11A, November 2009.
% 4.20/4.53 Process 26425 was started by sandbox on n025.cluster.edu,
% 4.20/4.53 Mon May 30 09:16:27 2022
% 4.20/4.53 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26272_n025.cluster.edu".
% 4.20/4.53 ============================== end of head ===========================
% 4.20/4.53
% 4.20/4.53 ============================== INPUT =================================
% 4.20/4.53
% 4.20/4.53 % Reading from file /tmp/Prover9_26272_n025.cluster.edu
% 4.20/4.53
% 4.20/4.53 set(prolog_style_variables).
% 4.20/4.53 set(auto2).
% 4.20/4.53 % set(auto2) -> set(auto).
% 4.20/4.53 % set(auto) -> set(auto_inference).
% 4.20/4.53 % set(auto) -> set(auto_setup).
% 4.20/4.53 % set(auto_setup) -> set(predicate_elim).
% 4.20/4.53 % set(auto_setup) -> assign(eq_defs, unfold).
% 4.20/4.53 % set(auto) -> set(auto_limits).
% 4.20/4.53 % set(auto_limits) -> assign(max_weight, "100.000").
% 4.20/4.53 % set(auto_limits) -> assign(sos_limit, 20000).
% 4.20/4.53 % set(auto) -> set(auto_denials).
% 4.20/4.53 % set(auto) -> set(auto_process).
% 4.20/4.53 % set(auto2) -> assign(new_constants, 1).
% 4.20/4.53 % set(auto2) -> assign(fold_denial_max, 3).
% 4.20/4.53 % set(auto2) -> assign(max_weight, "200.000").
% 4.20/4.53 % set(auto2) -> assign(max_hours, 1).
% 4.20/4.53 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 4.20/4.53 % set(auto2) -> assign(max_seconds, 0).
% 4.20/4.53 % set(auto2) -> assign(max_minutes, 5).
% 4.20/4.53 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 4.20/4.53 % set(auto2) -> set(sort_initial_sos).
% 4.20/4.53 % set(auto2) -> assign(sos_limit, -1).
% 4.20/4.53 % set(auto2) -> assign(lrs_ticks, 3000).
% 4.20/4.53 % set(auto2) -> assign(max_megs, 400).
% 4.20/4.53 % set(auto2) -> assign(stats, some).
% 4.20/4.53 % set(auto2) -> clear(echo_input).
% 4.20/4.53 % set(auto2) -> set(quiet).
% 4.20/4.53 % set(auto2) -> clear(print_initial_clauses).
% 4.20/4.53 % set(auto2) -> clear(print_given).
% 4.20/4.53 assign(lrs_ticks,-1).
% 4.20/4.53 assign(sos_limit,10000).
% 4.20/4.53 assign(order,kbo).
% 4.20/4.53 set(lex_order_vars).
% 4.20/4.53 clear(print_given).
% 4.20/4.53
% 4.20/4.53 % formulas(sos). % not echoed (18 formulas)
% 4.20/4.53
% 4.20/4.53 ============================== end of input ==========================
% 4.20/4.53
% 4.20/4.53 % From the command line: assign(max_seconds, 300).
% 4.20/4.53
% 4.20/4.53 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 4.20/4.53
% 4.20/4.53 % Formulas that are not ordinary clauses:
% 4.20/4.53
% 4.20/4.53 ============================== end of process non-clausal formulas ===
% 4.20/4.53
% 4.20/4.53 ============================== PROCESS INITIAL CLAUSES ===============
% 4.20/4.53
% 4.20/4.53 ============================== PREDICATE ELIMINATION =================
% 4.20/4.53
% 4.20/4.53 ============================== end predicate elimination =============
% 4.20/4.53
% 4.20/4.53 Auto_denials:
% 4.20/4.53 % copying label prove_middle_law to answer in negative clause
% 4.20/4.53
% 4.20/4.53 Term ordering decisions:
% 4.20/4.53
% 4.20/4.53 % Assigning unary symbol additive_inverse kb_weight 0 and highest precedence (7).
% 4.20/4.53 Function symbol KB weights: additive_identity=1. cx=1. cy=1. multiply=1. add=1. additive_inverse=0.
% 4.20/4.53
% 4.20/4.53 ============================== end of process initial clauses ========
% 4.20/4.53
% 4.20/4.53 ============================== CLAUSES FOR SEARCH ====================
% 4.20/4.53
% 4.20/4.53 ============================== end of clauses for search =============
% 4.20/4.53
% 4.20/4.53 ============================== SEARCH ================================
% 4.20/4.53
% 4.20/4.53 % Starting search at 0.01 seconds.
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=37.000, iters=3341
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=35.000, iters=3379
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=33.000, iters=3362
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=32.000, iters=3371
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=31.000, iters=3364
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=30.000, iters=3343
% 4.20/4.53
% 4.20/4.53 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 34 (0.00 of 1.31 sec).
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=29.000, iters=3348
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=28.000, iters=3355
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=27.000, iters=3439
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=26.000, iters=3351
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=25.000, iters=3340
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=24.000, iters=3341
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=23.000, iters=3414
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=7336, wt=99.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=7384, wt=95.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=7395, wt=77.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=7421, wt=75.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=1996, wt=45.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=3178, wt=44.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=3179, wt=41.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=4459, wt=39.000
% 4.20/4.53
% 4.20/4.53 Low Water (keep): wt=22.000, iters=3342
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=4040, wt=38.000
% 4.20/4.53
% 4.20/4.53 Low Water (displace): id=5859, wt=37.000
% 8.64/8.93
% 8.64/8.93 Low Water (displace): id=6062, wt=35.000
% 8.64/8.93
% 8.64/8.93 Low Water (displace): id=11683, wt=19.000
% 8.64/8.93
% 8.64/8.93 Low Water (keep): wt=21.000, iters=3342
% 8.64/8.93
% 8.64/8.93 ============================== PROOF =================================
% 8.64/8.93 % SZS status Unsatisfiable
% 8.64/8.93 % SZS output start Refutation
% 8.64/8.93
% 8.64/8.93 % Proof 1 at 7.81 (+ 0.12) seconds: prove_middle_law.
% 8.64/8.93 % Length of proof is 17.
% 8.64/8.93 % Level of proof is 6.
% 8.64/8.93 % Maximum clause weight is 21.000.
% 8.64/8.93 % Given clauses 1309.
% 8.64/8.93
% 8.64/8.93 7 add(A,B) = add(B,A) # label(commutativity_for_addition) # label(axiom). [assumption].
% 8.64/8.93 13 multiply(multiply(A,B),B) = multiply(A,multiply(B,B)) # label(right_alternative) # label(axiom). [assumption].
% 8.64/8.93 14 multiply(multiply(A,A),B) = multiply(A,multiply(A,B)) # label(left_alternative) # label(axiom). [assumption].
% 8.64/8.93 17 multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)) # label(multiply_over_add1) # label(axiom). [assumption].
% 8.64/8.93 18 add(multiply(A,B),multiply(A,C)) = multiply(A,add(B,C)). [copy(17),flip(a)].
% 8.64/8.93 19 multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)) # label(multiply_over_add2) # label(axiom). [assumption].
% 8.64/8.93 20 add(multiply(A,B),multiply(C,B)) = multiply(add(A,C),B). [copy(19),flip(a)].
% 8.64/8.93 21 multiply(multiply(cy,cx),cy) != multiply(cy,multiply(cx,cy)) # label(prove_middle_law) # label(negated_conjecture) # answer(prove_middle_law). [assumption].
% 8.64/8.93 22 add(A,B) != add(C,B) | A = C # label(left_cancellation_for_addition) # label(axiom). [assumption].
% 8.64/8.93 23 add(A,B) != add(A,C) | C = B. [copy(22),rewrite([7(2)]),flip(a),rewrite([7(2)])].
% 8.64/8.93 44 add(multiply(A,B),multiply(C,multiply(C,B))) = multiply(add(A,multiply(C,C)),B). [para(14(a,1),20(a,1,2))].
% 8.64/8.93 46 add(A,multiply(multiply(cy,cx),cy)) != add(A,multiply(cy,multiply(cx,cy))) # answer(prove_middle_law). [ur(23,b,21,a),flip(a)].
% 8.64/8.93 50 multiply(A,add(B,C)) != add(D,multiply(A,B)) | multiply(A,C) = D. [para(18(a,1),23(a,1)),rewrite([7(4)]),flip(b)].
% 8.64/8.93 60 add(multiply(multiply(cy,cx),A),multiply(cy,multiply(cx,cy))) != multiply(multiply(cy,cx),add(A,cy)) # answer(prove_middle_law). [para(18(a,1),46(a,1)),flip(a)].
% 8.64/8.93 114 multiply(multiply(cy,cx),add(cx,cy)) != multiply(cy,multiply(cx,add(cx,cy))) # answer(prove_middle_law). [para(13(a,1),60(a,1,1)),rewrite([18(11),18(8)]),flip(a)].
% 8.64/8.93 1124 add(multiply(multiply(cy,cx),add(cx,cy)),multiply(cy,A)) != multiply(cy,add(A,multiply(cx,add(cx,cy)))) # answer(prove_middle_law). [ur(50,b,114,a(flip)),flip(a)].
% 8.64/8.93 13616 $F # answer(prove_middle_law). [para(44(a,1),1124(a,1)),rewrite([18(7),13(9),7(21),20(21)]),xx(a)].
% 8.64/8.93
% 8.64/8.93 % SZS output end Refutation
% 8.64/8.93 ============================== end of proof ==========================
% 8.64/8.93
% 8.64/8.93 ============================== STATISTICS ============================
% 8.64/8.93
% 8.64/8.93 Given=1309. Generated=197871. Kept=13609. proofs=1.
% 8.64/8.93 Usable=1270. Sos=9999. Demods=731. Limbo=5, Disabled=2353. Hints=0.
% 8.64/8.93 Megabytes=14.30.
% 8.64/8.93 User_CPU=7.81, System_CPU=0.12, Wall_clock=8.
% 8.64/8.93
% 8.64/8.93 ============================== end of statistics =====================
% 8.64/8.93
% 8.64/8.93 ============================== end of search =========================
% 8.64/8.93
% 8.64/8.93 THEOREM PROVED
% 8.64/8.93 % SZS status Unsatisfiable
% 8.64/8.93
% 8.64/8.93 Exiting with 1 proof.
% 8.64/8.93
% 8.64/8.93 Process 26425 exit (max_proofs) Mon May 30 09:16:35 2022
% 8.64/8.93 Prover9 interrupted
%------------------------------------------------------------------------------