TSTP Solution File: COL064-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : COL064-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 00:39:53 EDT 2022
% Result : Unsatisfiable 3.82s 4.09s
% Output : Refutation 3.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COL064-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n027.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 May 31 16:36:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.82/4.09 ============================== Prover9 ===============================
% 3.82/4.09 Prover9 (32) version 2009-11A, November 2009.
% 3.82/4.09 Process 3243 was started by sandbox on n027.cluster.edu,
% 3.82/4.09 Tue May 31 16:36:18 2022
% 3.82/4.09 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3090_n027.cluster.edu".
% 3.82/4.09 ============================== end of head ===========================
% 3.82/4.09
% 3.82/4.09 ============================== INPUT =================================
% 3.82/4.09
% 3.82/4.09 % Reading from file /tmp/Prover9_3090_n027.cluster.edu
% 3.82/4.09
% 3.82/4.09 set(prolog_style_variables).
% 3.82/4.09 set(auto2).
% 3.82/4.09 % set(auto2) -> set(auto).
% 3.82/4.09 % set(auto) -> set(auto_inference).
% 3.82/4.09 % set(auto) -> set(auto_setup).
% 3.82/4.09 % set(auto_setup) -> set(predicate_elim).
% 3.82/4.09 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.82/4.09 % set(auto) -> set(auto_limits).
% 3.82/4.09 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.82/4.09 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.82/4.09 % set(auto) -> set(auto_denials).
% 3.82/4.09 % set(auto) -> set(auto_process).
% 3.82/4.09 % set(auto2) -> assign(new_constants, 1).
% 3.82/4.09 % set(auto2) -> assign(fold_denial_max, 3).
% 3.82/4.09 % set(auto2) -> assign(max_weight, "200.000").
% 3.82/4.09 % set(auto2) -> assign(max_hours, 1).
% 3.82/4.09 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.82/4.09 % set(auto2) -> assign(max_seconds, 0).
% 3.82/4.09 % set(auto2) -> assign(max_minutes, 5).
% 3.82/4.09 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.82/4.09 % set(auto2) -> set(sort_initial_sos).
% 3.82/4.09 % set(auto2) -> assign(sos_limit, -1).
% 3.82/4.09 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.82/4.09 % set(auto2) -> assign(max_megs, 400).
% 3.82/4.09 % set(auto2) -> assign(stats, some).
% 3.82/4.09 % set(auto2) -> clear(echo_input).
% 3.82/4.09 % set(auto2) -> set(quiet).
% 3.82/4.09 % set(auto2) -> clear(print_initial_clauses).
% 3.82/4.09 % set(auto2) -> clear(print_given).
% 3.82/4.09 assign(lrs_ticks,-1).
% 3.82/4.09 assign(sos_limit,10000).
% 3.82/4.09 assign(order,kbo).
% 3.82/4.09 set(lex_order_vars).
% 3.82/4.09 clear(print_given).
% 3.82/4.09
% 3.82/4.09 % formulas(sos). % not echoed (3 formulas)
% 3.82/4.09
% 3.82/4.09 ============================== end of input ==========================
% 3.82/4.09
% 3.82/4.09 % From the command line: assign(max_seconds, 300).
% 3.82/4.09
% 3.82/4.09 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.82/4.09
% 3.82/4.09 % Formulas that are not ordinary clauses:
% 3.82/4.09
% 3.82/4.09 ============================== end of process non-clausal formulas ===
% 3.82/4.09
% 3.82/4.09 ============================== PROCESS INITIAL CLAUSES ===============
% 3.82/4.09
% 3.82/4.09 ============================== PREDICATE ELIMINATION =================
% 3.82/4.09
% 3.82/4.09 ============================== end predicate elimination =============
% 3.82/4.09
% 3.82/4.09 Auto_denials:
% 3.82/4.09 % copying label prove_v_combinator to answer in negative clause
% 3.82/4.09
% 3.82/4.09 Term ordering decisions:
% 3.82/4.09 Function symbol KB weights: b=1. t=1. apply=1. f=1. g=1. h=1.
% 3.82/4.09
% 3.82/4.09 ============================== end of process initial clauses ========
% 3.82/4.09
% 3.82/4.09 ============================== CLAUSES FOR SEARCH ====================
% 3.82/4.09
% 3.82/4.09 ============================== end of clauses for search =============
% 3.82/4.09
% 3.82/4.09 ============================== SEARCH ================================
% 3.82/4.09
% 3.82/4.09 % Starting search at 0.01 seconds.
% 3.82/4.09
% 3.82/4.09 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.34 sec).
% 3.82/4.09
% 3.82/4.09 Low Water (keep): wt=157.000, iters=3360
% 3.82/4.09
% 3.82/4.09 Low Water (keep): wt=147.000, iters=3382
% 3.82/4.09
% 3.82/4.09 Low Water (keep): wt=145.000, iters=3333
% 3.82/4.09
% 3.82/4.09 Low Water (keep): wt=143.000, iters=3334
% 3.82/4.09
% 3.82/4.09 ============================== PROOF =================================
% 3.82/4.09 % SZS status Unsatisfiable
% 3.82/4.09 % SZS output start Refutation
% 3.82/4.09
% 3.82/4.09 % Proof 1 at 3.10 (+ 0.04) seconds: prove_v_combinator.
% 3.82/4.09 % Length of proof is 13.
% 3.82/4.09 % Level of proof is 10.
% 3.82/4.09 % Maximum clause weight is 129.000.
% 3.82/4.09 % Given clauses 4928.
% 3.82/4.09
% 3.82/4.09 1 apply(apply(t,A),B) = apply(B,A) # label(t_definition) # label(axiom). [assumption].
% 3.82/4.09 2 apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)) # label(b_definition) # label(axiom). [assumption].
% 3.82/4.09 3 apply(apply(apply(A,f(A)),g(A)),h(A)) != apply(apply(h(A),f(A)),g(A)) # label(prove_v_combinator) # label(negated_conjecture) # answer(prove_v_combinator). [assumption].
% 3.82/4.09 6 apply(apply(apply(A,apply(B,f(apply(apply(b,A),B)))),g(apply(apply(b,A),B))),h(apply(apply(b,A),B))) != apply(apply(h(apply(apply(b,A),B)),f(apply(apply(b,A),B))),g(apply(apply(b,A),B))) # answer(prove_v_combinator). [para(2(a,1),3(a,1,1,1))].
% 3.82/4.09 14 apply(apply(apply(apply(A,f(apply(apply(b,apply(t,B)),A))),B),g(apply(apply(b,apply(t,B)),A))),h(apply(apply(b,apply(t,B)),A))) != apply(apply(h(apply(apply(b,apply(t,B)),A)),f(apply(apply(b,apply(t,B)),A))),g(apply(apply(b,apply(t,B)),A))) # answer(prove_v_combinator). [para(1(a,1),6(a,1,1,1))].
% 3.82/4.09 42 apply(apply(apply(apply(A,apply(B,f(apply(apply(b,apply(t,C)),apply(apply(b,A),B))))),C),g(apply(apply(b,apply(t,C)),apply(apply(b,A),B)))),h(apply(apply(b,apply(t,C)),apply(apply(b,A),B)))) != apply(apply(h(apply(apply(b,apply(t,C)),apply(apply(b,A),B))),f(apply(apply(b,apply(t,C)),apply(apply(b,A),B)))),g(apply(apply(b,apply(t,C)),apply(apply(b,A),B)))) # answer(prove_v_combinator). [para(2(a,1),14(a,1,1,1,1))].
% 3.82/4.09 187 apply(apply(apply(A,f(apply(apply(b,apply(t,B)),apply(apply(b,b),A)))),apply(B,g(apply(apply(b,apply(t,B)),apply(apply(b,b),A))))),h(apply(apply(b,apply(t,B)),apply(apply(b,b),A)))) != apply(apply(h(apply(apply(b,apply(t,B)),apply(apply(b,b),A))),f(apply(apply(b,apply(t,B)),apply(apply(b,b),A)))),g(apply(apply(b,apply(t,B)),apply(apply(b,b),A)))) # answer(prove_v_combinator). [para(2(a,1),42(a,1,1))].
% 3.82/4.09 422 apply(apply(apply(A,apply(B,f(apply(apply(b,apply(t,C)),apply(apply(b,b),apply(apply(b,A),B)))))),apply(C,g(apply(apply(b,apply(t,C)),apply(apply(b,b),apply(apply(b,A),B)))))),h(apply(apply(b,apply(t,C)),apply(apply(b,b),apply(apply(b,A),B))))) != apply(apply(h(apply(apply(b,apply(t,C)),apply(apply(b,b),apply(apply(b,A),B)))),f(apply(apply(b,apply(t,C)),apply(apply(b,b),apply(apply(b,A),B))))),g(apply(apply(b,apply(t,C)),apply(apply(b,b),apply(apply(b,A),B))))) # answer(prove_v_combinator). [para(2(a,1),187(a,1,1,1))].
% 3.82/4.09 2422 apply(apply(A,f(apply(apply(b,apply(t,B)),apply(apply(b,b),apply(apply(b,b),A))))),apply(apply(B,g(apply(apply(b,apply(t,B)),apply(apply(b,b),apply(apply(b,b),A))))),h(apply(apply(b,apply(t,B)),apply(apply(b,b),apply(apply(b,b),A)))))) != apply(apply(h(apply(apply(b,apply(t,B)),apply(apply(b,b),apply(apply(b,b),A)))),f(apply(apply(b,apply(t,B)),apply(apply(b,b),apply(apply(b,b),A))))),g(apply(apply(b,apply(t,B)),apply(apply(b,b),apply(apply(b,b),A))))) # answer(prove_v_combinator). [para(2(a,1),422(a,1))].
% 3.82/4.09 2964 apply(apply(apply(A,g(apply(apply(b,apply(t,A)),apply(apply(b,b),apply(apply(b,b),t))))),h(apply(apply(b,apply(t,A)),apply(apply(b,b),apply(apply(b,b),t))))),f(apply(apply(b,apply(t,A)),apply(apply(b,b),apply(apply(b,b),t))))) != apply(apply(h(apply(apply(b,apply(t,A)),apply(apply(b,b),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,A)),apply(apply(b,b),apply(apply(b,b),t))))),g(apply(apply(b,apply(t,A)),apply(apply(b,b),apply(apply(b,b),t))))) # answer(prove_v_combinator). [para(1(a,1),2422(a,1))].
% 3.82/4.09 2980 apply(apply(apply(A,apply(B,g(apply(apply(b,apply(t,apply(apply(b,A),B))),apply(apply(b,b),apply(apply(b,b),t)))))),h(apply(apply(b,apply(t,apply(apply(b,A),B))),apply(apply(b,b),apply(apply(b,b),t))))),f(apply(apply(b,apply(t,apply(apply(b,A),B))),apply(apply(b,b),apply(apply(b,b),t))))) != apply(apply(h(apply(apply(b,apply(t,apply(apply(b,A),B))),apply(apply(b,b),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,apply(apply(b,A),B))),apply(apply(b,b),apply(apply(b,b),t))))),g(apply(apply(b,apply(t,apply(apply(b,A),B))),apply(apply(b,b),apply(apply(b,b),t))))) # answer(prove_v_combinator). [para(2(a,1),2964(a,1,1,1))].
% 3.82/4.09 11886 apply(apply(A,g(apply(apply(b,apply(t,apply(apply(b,b),A))),apply(apply(b,b),apply(apply(b,b),t))))),apply(h(apply(apply(b,apply(t,apply(apply(b,b),A))),apply(apply(b,b),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,apply(apply(b,b),A))),apply(apply(b,b),apply(apply(b,b),t)))))) != apply(apply(h(apply(apply(b,apply(t,apply(apply(b,b),A))),apply(apply(b,b),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,apply(apply(b,b),A))),apply(apply(b,b),apply(apply(b,b),t))))),g(apply(apply(b,apply(t,apply(apply(b,b),A))),apply(apply(b,b),apply(apply(b,b),t))))) # answer(prove_v_combinator). [para(2(a,1),2980(a,1))].
% 3.82/4.09 11887 $F # answer(prove_v_combinator). [resolve(11886,a,1,a)].
% 3.82/4.09
% 3.82/4.09 % SZS output end Refutation
% 3.82/4.09 ============================== end of proof ==========================
% 3.82/4.09
% 3.82/4.09 ============================== STATISTICS ============================
% 3.82/4.09
% 3.82/4.09 Given=4928. Generated=20352. Kept=11886. proofs=1.
% 3.82/4.09 Usable=4928. Sos=6953. Demods=2. Limbo=4, Disabled=3. Hints=0.
% 3.82/4.09 Megabytes=73.41.
% 3.82/4.09 User_CPU=3.10, System_CPU=0.04, Wall_clock=3.
% 3.82/4.09
% 3.82/4.09 ============================== end of statistics =====================
% 3.82/4.09
% 3.82/4.09 ============================== end of search =========================
% 3.82/4.09
% 3.82/4.09 THEOREM PROVED
% 3.82/4.09 % SZS status Unsatisfiable
% 3.82/4.09
% 3.82/4.09 Exiting with 1 proof.
% 3.82/4.09
% 3.82/4.09 Process 3243 exit (max_proofs) Tue May 31 16:36:21 2022
% 3.82/4.09 Prover9 interrupted
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