TSTP Solution File: LCL085-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n005.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 : Sun Jul 17 13:43:54 EDT 2022
% Result : Unsatisfiable 10.54s 10.80s
% Output : Refutation 10.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n005.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 : Mon Jul 4 10:03:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 10.54/10.80 ============================== Prover9 ===============================
% 10.54/10.80 Prover9 (32) version 2009-11A, November 2009.
% 10.54/10.80 Process 5570 was started by sandbox on n005.cluster.edu,
% 10.54/10.80 Mon Jul 4 10:03:08 2022
% 10.54/10.80 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5417_n005.cluster.edu".
% 10.54/10.80 ============================== end of head ===========================
% 10.54/10.80
% 10.54/10.80 ============================== INPUT =================================
% 10.54/10.80
% 10.54/10.80 % Reading from file /tmp/Prover9_5417_n005.cluster.edu
% 10.54/10.80
% 10.54/10.80 set(prolog_style_variables).
% 10.54/10.80 set(auto2).
% 10.54/10.80 % set(auto2) -> set(auto).
% 10.54/10.80 % set(auto) -> set(auto_inference).
% 10.54/10.80 % set(auto) -> set(auto_setup).
% 10.54/10.80 % set(auto_setup) -> set(predicate_elim).
% 10.54/10.80 % set(auto_setup) -> assign(eq_defs, unfold).
% 10.54/10.80 % set(auto) -> set(auto_limits).
% 10.54/10.80 % set(auto_limits) -> assign(max_weight, "100.000").
% 10.54/10.80 % set(auto_limits) -> assign(sos_limit, 20000).
% 10.54/10.80 % set(auto) -> set(auto_denials).
% 10.54/10.80 % set(auto) -> set(auto_process).
% 10.54/10.80 % set(auto2) -> assign(new_constants, 1).
% 10.54/10.80 % set(auto2) -> assign(fold_denial_max, 3).
% 10.54/10.80 % set(auto2) -> assign(max_weight, "200.000").
% 10.54/10.80 % set(auto2) -> assign(max_hours, 1).
% 10.54/10.80 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 10.54/10.80 % set(auto2) -> assign(max_seconds, 0).
% 10.54/10.80 % set(auto2) -> assign(max_minutes, 5).
% 10.54/10.80 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 10.54/10.80 % set(auto2) -> set(sort_initial_sos).
% 10.54/10.80 % set(auto2) -> assign(sos_limit, -1).
% 10.54/10.80 % set(auto2) -> assign(lrs_ticks, 3000).
% 10.54/10.80 % set(auto2) -> assign(max_megs, 400).
% 10.54/10.80 % set(auto2) -> assign(stats, some).
% 10.54/10.80 % set(auto2) -> clear(echo_input).
% 10.54/10.80 % set(auto2) -> set(quiet).
% 10.54/10.80 % set(auto2) -> clear(print_initial_clauses).
% 10.54/10.80 % set(auto2) -> clear(print_given).
% 10.54/10.80 assign(lrs_ticks,-1).
% 10.54/10.80 assign(sos_limit,10000).
% 10.54/10.80 assign(order,kbo).
% 10.54/10.80 set(lex_order_vars).
% 10.54/10.80 clear(print_given).
% 10.54/10.80
% 10.54/10.80 % formulas(sos). % not echoed (3 formulas)
% 10.54/10.80
% 10.54/10.80 ============================== end of input ==========================
% 10.54/10.80
% 10.54/10.80 % From the command line: assign(max_seconds, 300).
% 10.54/10.80
% 10.54/10.80 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 10.54/10.80
% 10.54/10.80 % Formulas that are not ordinary clauses:
% 10.54/10.80
% 10.54/10.80 ============================== end of process non-clausal formulas ===
% 10.54/10.80
% 10.54/10.80 ============================== PROCESS INITIAL CLAUSES ===============
% 10.54/10.80
% 10.54/10.80 ============================== PREDICATE ELIMINATION =================
% 10.54/10.80
% 10.54/10.80 ============================== end predicate elimination =============
% 10.54/10.80
% 10.54/10.80 Auto_denials:
% 10.54/10.80 % copying label prove_ic_5 to answer in negative clause
% 10.54/10.80
% 10.54/10.80 Term ordering decisions:
% 10.54/10.80 Function symbol KB weights: a=1. b=1. implies=1.
% 10.54/10.80
% 10.54/10.80 ============================== end of process initial clauses ========
% 10.54/10.80
% 10.54/10.80 ============================== CLAUSES FOR SEARCH ====================
% 10.54/10.80
% 10.54/10.80 ============================== end of clauses for search =============
% 10.54/10.80
% 10.54/10.80 ============================== SEARCH ================================
% 10.54/10.80
% 10.54/10.80 % Starting search at 0.01 seconds.
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=42.000, iters=3333
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=40.000, iters=3522
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=36.000, iters=3396
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=34.000, iters=3340
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=32.000, iters=3342
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=30.000, iters=3337
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=28.000, iters=3338
% 10.54/10.80
% 10.54/10.80 Low Water (keep): wt=26.000, iters=3333
% 10.54/10.80
% 10.54/10.80 Low Water (displace): id=6364, wt=54.000
% 10.54/10.80
% 10.54/10.80 Low Water (displace): id=4857, wt=52.000
% 10.54/10.80
% 10.54/10.80 Low Water (displace): id=6385, wt=50.000
% 10.54/10.80
% 10.54/10.80 Low Water (displace): id=6367, wt=48.000
% 10.54/10.80
% 10.54/10.80 Low Water (displace): id=11614, wt=24.000
% 10.54/10.80
% 10.54/10.80 Low Water (displace): id=11665, wt=22.000
% 10.54/10.80
% 10.54/10.80 Low Water (displace): id=11872, wt=20.000
% 10.54/10.80
% 10.54/10.80 ============================== PROOF =================================
% 10.54/10.80 % SZS status Unsatisfiable
% 10.54/10.80 % SZS output start Refutation
% 10.54/10.80
% 10.54/10.80 % Proof 1 at 8.66 (+ 1.16) seconds: prove_ic_5.
% 10.54/10.80 % Length of proof is 57.
% 10.54/10.80 % Level of proof is 29.
% 10.54/10.80 % Maximum clause weight is 24.000.
% 10.54/10.80 % Given clauses 1650.
% 10.54/10.80
% 10.54/10.80 1 is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))) # label(ic_JLukasiewicz) # label(axiom). [assumption].
% 10.54/10.80 2 -is_a_theorem(implies(a,implies(implies(a,b),b))) # label(prove_ic_5) # label(negated_conjecture) # answer(prove_ic_5). [assumption].
% 10.54/10.80 3 -is_a_theorem(implies(A,B)) | -is_a_theorem(A) | is_a_theorem(B) # label(condensed_detachment) # label(axiom). [assumption].
% 10.54/10.80 4 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))). [hyper(3,a,1,a,b,1,a)].
% 10.54/10.80 5 is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(B,C))))). [hyper(3,a,4,a,b,4,a)].
% 10.54/10.80 6 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(E,B))),implies(F,implies(implies(D,B),implies(E,B))))). [hyper(3,a,1,a,b,4,a)].
% 10.54/10.80 7 is_a_theorem(implies(implies(A,B),implies(B,implies(A,B)))). [hyper(3,a,5,a,b,5,a)].
% 10.54/10.80 9 is_a_theorem(implies(implies(implies(A,implies(B,A)),B),implies(C,B))). [hyper(3,a,1,a,b,7,a)].
% 10.54/10.80 23 is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(D,C))),implies(E,implies(C,F))),implies(V6,implies(E,implies(C,F))))). [hyper(3,a,1,a,b,6,a)].
% 10.54/10.80 24 is_a_theorem(implies(A,implies(implies(B,C),implies(C,C)))). [hyper(3,a,6,a,b,9,a)].
% 10.54/10.80 25 is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))). [hyper(3,a,6,a,b,1,a)].
% 10.54/10.80 26 is_a_theorem(implies(implies(A,B),implies(B,B))). [hyper(3,a,24,a,b,24,a)].
% 10.54/10.80 30 is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))). [hyper(3,a,1,a,b,26,a)].
% 10.54/10.80 31 is_a_theorem(implies(implies(A,B),implies(A,B))). [hyper(3,a,26,a,b,9,a)].
% 10.54/10.80 33 is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))). [hyper(3,a,1,a,b,31,a)].
% 10.54/10.80 37 is_a_theorem(implies(A,implies(B,implies(C,B)))). [hyper(3,a,4,a,b,30,a)].
% 10.54/10.80 44 is_a_theorem(implies(A,implies(B,A))). [hyper(3,a,37,a,b,37,a)].
% 10.54/10.80 48 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))). [hyper(3,a,1,a,b,44,a)].
% 10.54/10.80 56 is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))). [hyper(3,a,1,a,b,33,a)].
% 10.54/10.80 64 is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),implies(E,D))). [hyper(3,a,1,a,b,25,a)].
% 10.54/10.80 74 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),implies(D,C)),E),implies(C,E)))). [hyper(3,a,23,a,b,1,a)].
% 10.54/10.80 103 is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))). [hyper(3,a,1,a,b,56,a)].
% 10.54/10.80 148 is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(B,D))). [hyper(3,a,74,a,b,74,a)].
% 10.54/10.80 162 is_a_theorem(implies(A,implies(implies(implies(B,A),C),implies(D,C)))). [hyper(3,a,148,a,b,1,a)].
% 10.54/10.80 491 is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))). [hyper(3,a,103,a,b,1,a)].
% 10.54/10.80 492 is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))). [hyper(3,a,491,a,b,491,a)].
% 10.54/10.80 501 is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))). [hyper(3,a,1,a,b,492,a)].
% 10.54/10.80 1152 is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))). [hyper(3,a,501,a,b,48,a)].
% 10.54/10.80 1155 is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))). [hyper(3,a,501,a,b,33,a)].
% 10.54/10.80 1156 is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))). [hyper(3,a,501,a,b,30,a)].
% 10.54/10.80 1171 is_a_theorem(implies(implies(implies(A,B),A),A)). [hyper(3,a,1155,a,b,1155,a)].
% 10.54/10.80 1183 is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))). [hyper(3,a,1,a,b,1171,a)].
% 10.54/10.80 1184 is_a_theorem(implies(implies(implies(A,A),B),B)). [hyper(3,a,1171,a,b,1156,a)].
% 10.54/10.80 1210 is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)). [hyper(3,a,1184,a,b,1152,a)].
% 10.54/10.80 1222 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))). [hyper(3,a,1,a,b,1210,a)].
% 10.54/10.80 1268 is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))). [hyper(3,a,1183,a,b,1183,a)].
% 10.54/10.80 1281 is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))). [hyper(3,a,1268,a,b,1268,a)].
% 10.54/10.80 1331 is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),D)). [hyper(3,a,1281,a,b,64,a)].
% 10.54/10.80 1835 is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))). [hyper(3,a,1281,a,b,1222,a)].
% 10.54/10.80 1847 is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))). [hyper(3,a,1222,a,b,162,a)].
% 10.54/10.80 1849 is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))). [hyper(3,a,1847,a,b,1847,a)].
% 10.54/10.80 1875 is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))). [hyper(3,a,1849,a,b,1,a)].
% 10.54/10.80 1876 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))). [hyper(3,a,1875,a,b,1875,a)].
% 10.54/10.80 1885 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),implies(E,A))). [hyper(3,a,1,a,b,1875,a)].
% 10.54/10.80 1955 is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))). [hyper(3,a,1835,a,b,1,a)].
% 10.54/10.80 1972 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(B,D),B)),implies(A,B))). [hyper(3,a,1331,a,b,1955,a)].
% 10.54/10.80 2002 is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),D),A),implies(implies(A,B),implies(C,B)))). [hyper(3,a,1955,a,b,1875,a)].
% 10.54/10.80 2032 is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),implies(B,implies(B,C))),implies(A,implies(B,C)))). [hyper(3,a,1955,a,b,1183,a)].
% 10.54/10.80 2101 is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,implies(B,E)),B)),implies(A,B))). [hyper(3,a,1955,a,b,48,a)].
% 10.54/10.80 2932 is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)). [hyper(3,a,1281,a,b,1876,a)].
% 10.54/10.80 2965 is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),A)). [hyper(3,a,1281,a,b,1885,a)].
% 10.54/10.80 4691 is_a_theorem(implies(implies(implies(implies(implies(A,implies(implies(B,C),D)),implies(B,C)),E),C),implies(B,C))). [hyper(3,a,2101,a,b,2965,a)].
% 10.54/10.80 12495 is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),implies(implies(B,C),B)),B)). [hyper(3,a,1972,a,b,4691,a)].
% 10.54/10.80 12711 is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))). [hyper(3,a,2002,a,b,12495,a)].
% 10.54/10.80 12735 is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),implies(D,C)))). [hyper(3,a,2932,a,b,12711,a)].
% 10.54/10.80 12798 is_a_theorem(implies(A,implies(implies(A,B),B))). [hyper(3,a,2032,a,b,12735,a)].
% 10.54/10.80 12799 $F # answer(prove_ic_5). [resolve(12798,a,2,a)].
% 10.54/10.80
% 10.54/10.80 % SZS output end Refutation
% 10.54/10.80 ============================== end of proof ==========================
% 10.54/10.80
% 10.54/10.80 ============================== STATISTICS ============================
% 10.54/10.80
% 10.54/10.80 Given=1650. Generated=2378456. Kept=12798. proofs=1.
% 10.54/10.80 Usable=1610. Sos=9998. Demods=0. Limbo=4, Disabled=1188. Hints=0.
% 10.54/10.80 Megabytes=12.71.
% 10.54/10.80 User_CPU=8.66, System_CPU=1.16, Wall_clock=10.
% 10.54/10.80
% 10.54/10.80 ============================== end of statistics =====================
% 10.54/10.80
% 10.54/10.80 ============================== end of search =========================
% 10.54/10.80
% 10.54/10.80 THEOREM PROVED
% 10.54/10.80 % SZS status Unsatisfiable
% 10.54/10.80
% 10.54/10.80 Exiting with 1 proof.
% 10.54/10.80
% 10.54/10.80 Process 5570 exit (max_proofs) Mon Jul 4 10:03:18 2022
% 10.54/10.80 Prover9 interrupted
%------------------------------------------------------------------------------