TSTP Solution File: SYO652-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 : Thu Jul 21 19:17:48 EDT 2022
% Result : Unsatisfiable 25.98s 26.26s
% Output : Refutation 25.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n003.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 : Sat Jul 9 08:48:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 25.98/26.26 ============================== Prover9 ===============================
% 25.98/26.26 Prover9 (32) version 2009-11A, November 2009.
% 25.98/26.26 Process 2251 was started by sandbox2 on n003.cluster.edu,
% 25.98/26.26 Sat Jul 9 08:48:44 2022
% 25.98/26.26 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2095_n003.cluster.edu".
% 25.98/26.26 ============================== end of head ===========================
% 25.98/26.26
% 25.98/26.26 ============================== INPUT =================================
% 25.98/26.26
% 25.98/26.26 % Reading from file /tmp/Prover9_2095_n003.cluster.edu
% 25.98/26.26
% 25.98/26.26 set(prolog_style_variables).
% 25.98/26.26 set(auto2).
% 25.98/26.26 % set(auto2) -> set(auto).
% 25.98/26.26 % set(auto) -> set(auto_inference).
% 25.98/26.26 % set(auto) -> set(auto_setup).
% 25.98/26.26 % set(auto_setup) -> set(predicate_elim).
% 25.98/26.26 % set(auto_setup) -> assign(eq_defs, unfold).
% 25.98/26.26 % set(auto) -> set(auto_limits).
% 25.98/26.26 % set(auto_limits) -> assign(max_weight, "100.000").
% 25.98/26.26 % set(auto_limits) -> assign(sos_limit, 20000).
% 25.98/26.26 % set(auto) -> set(auto_denials).
% 25.98/26.26 % set(auto) -> set(auto_process).
% 25.98/26.26 % set(auto2) -> assign(new_constants, 1).
% 25.98/26.26 % set(auto2) -> assign(fold_denial_max, 3).
% 25.98/26.26 % set(auto2) -> assign(max_weight, "200.000").
% 25.98/26.26 % set(auto2) -> assign(max_hours, 1).
% 25.98/26.26 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 25.98/26.26 % set(auto2) -> assign(max_seconds, 0).
% 25.98/26.26 % set(auto2) -> assign(max_minutes, 5).
% 25.98/26.26 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 25.98/26.26 % set(auto2) -> set(sort_initial_sos).
% 25.98/26.26 % set(auto2) -> assign(sos_limit, -1).
% 25.98/26.26 % set(auto2) -> assign(lrs_ticks, 3000).
% 25.98/26.26 % set(auto2) -> assign(max_megs, 400).
% 25.98/26.26 % set(auto2) -> assign(stats, some).
% 25.98/26.26 % set(auto2) -> clear(echo_input).
% 25.98/26.26 % set(auto2) -> set(quiet).
% 25.98/26.26 % set(auto2) -> clear(print_initial_clauses).
% 25.98/26.26 % set(auto2) -> clear(print_given).
% 25.98/26.26 assign(lrs_ticks,-1).
% 25.98/26.26 assign(sos_limit,10000).
% 25.98/26.26 assign(order,kbo).
% 25.98/26.26 set(lex_order_vars).
% 25.98/26.26 clear(print_given).
% 25.98/26.26
% 25.98/26.26 % formulas(sos). % not echoed (23 formulas)
% 25.98/26.26
% 25.98/26.26 ============================== end of input ==========================
% 25.98/26.26
% 25.98/26.26 % From the command line: assign(max_seconds, 300).
% 25.98/26.26
% 25.98/26.26 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 25.98/26.26
% 25.98/26.26 % Formulas that are not ordinary clauses:
% 25.98/26.26
% 25.98/26.26 ============================== end of process non-clausal formulas ===
% 25.98/26.26
% 25.98/26.26 ============================== PROCESS INITIAL CLAUSES ===============
% 25.98/26.26
% 25.98/26.26 ============================== PREDICATE ELIMINATION =================
% 25.98/26.26
% 25.98/26.26 ============================== end predicate elimination =============
% 25.98/26.26
% 25.98/26.26 Auto_denials: (non-Horn, no changes).
% 25.98/26.26
% 25.98/26.26 Term ordering decisions:
% 25.98/26.26 Function symbol KB weights: 0=1. z=1. f=1. suc=1. s=1.
% 25.98/26.26
% 25.98/26.26 ============================== end of process initial clauses ========
% 25.98/26.26
% 25.98/26.26 ============================== CLAUSES FOR SEARCH ====================
% 25.98/26.26
% 25.98/26.26 ============================== end of clauses for search =============
% 25.98/26.26
% 25.98/26.26 ============================== SEARCH ================================
% 25.98/26.26
% 25.98/26.26 % Starting search at 8.82 seconds.
% 25.98/26.26
% 25.98/26.26 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 213 (0.00 of 8.87 sec).
% 25.98/26.26
% 25.98/26.26 ============================== PROOF =================================
% 25.98/26.26 % SZS status Unsatisfiable
% 25.98/26.26 % SZS output start Refutation
% 25.98/26.26
% 25.98/26.26 % Proof 1 at 25.27 (+ 0.02) seconds.
% 25.98/26.26 % Length of proof is 24.
% 25.98/26.26 % Level of proof is 6.
% 25.98/26.26 % Maximum clause weight is 99.000.
% 25.98/26.26 % Given clauses 2983.
% 25.98/26.26
% 25.98/26.26 1 LE(f(A),s(0)) # label(clause_199) # label(axiom). [assumption].
% 25.98/26.26 2 -LE(f(z),0) # label(clause_99) # label(axiom). [assumption].
% 25.98/26.26 3 -E(0,f(suc(A))) | -iLEQ(suc(B),suc(C)) | -E(0,f(suc(suc(A)))) | -E(0,f(suc(D))) | -E(0,f(suc(suc(D)))) | -E(0,f(A)) | -E(0,f(D)) | -E(0,f(C)) | -E(0,f(suc(B))) | -E(f(B),f(suc(B))) | -E(0,f(suc(suc(B)))) | -E(f(D),f(suc(D))) | -E(f(A),f(suc(A))) | -iLEQ(suc(D),suc(A)) | -E(0,f(suc(C))) | -E(0,f(B)) | -E(0,f(suc(suc(C)))) | -E(f(C),f(suc(C))) | -iLEQ(suc(A),suc(B)) # label(clause_96) # label(axiom). [assumption].
% 25.98/26.26 4 -LE(f(A),s(0)) | E(0,f(A)) | LE(f(A),0) # label(clause_17) # label(axiom). [assumption].
% 25.98/26.26 5 E(0,f(A)) | LE(f(A),0). [copy(4),unit_del(a,1)].
% 25.98/26.26 6 -LE(f(suc(A)),s(0)) | E(0,f(suc(A))) | LE(f(A),0) # label(clause_191) # label(axiom). [assumption].
% 25.98/26.26 7 E(0,f(suc(A))) | LE(f(A),0). [copy(6),unit_del(a,1)].
% 25.98/26.26 8 -LE(f(suc(suc(A))),s(0)) | E(0,f(suc(suc(A)))) | LE(f(A),0) # label(clause_3) # label(axiom). [assumption].
% 25.98/26.26 9 E(0,f(suc(suc(A)))) | LE(f(A),0). [copy(8),unit_del(a,1)].
% 25.98/26.26 10 -E(0,f(A)) | -E(0,f(suc(A))) | E(f(A),f(suc(A))) | iLEQ(suc(A),suc(A)) # label(clause_44) # label(axiom). [assumption].
% 25.98/26.26 11 -E(0,f(suc(suc(A)))) | -E(0,f(suc(A))) | -E(f(A),f(suc(A))) | -E(0,f(A)) | iLEQ(suc(A),suc(A)) # label(clause_149) # label(axiom). [assumption].
% 25.98/26.26 12 -E(0,f(suc(A))) | -iLEQ(suc(B),suc(C)) | -E(0,f(suc(D))) | -E(0,f(A)) | -E(0,f(D)) | -E(0,f(C)) | -E(0,f(suc(B))) | -iLEQ(suc(D),suc(A)) | -E(0,f(suc(C))) | -E(0,f(B)) | -iLEQ(suc(A),suc(B)) | E(f(D),f(suc(D))) | E(f(A),f(suc(A))) | E(f(B),f(suc(B))) | E(f(C),f(suc(C))) # label(clause_16) # label(axiom). [assumption].
% 25.98/26.26 27 -E(0,f(suc(A))) | -iLEQ(suc(B),suc(C)) | -E(0,f(suc(suc(A)))) | -E(0,f(A)) | -E(0,f(C)) | -E(0,f(suc(B))) | -E(f(B),f(suc(B))) | -E(0,f(suc(suc(B)))) | -E(f(A),f(suc(A))) | -iLEQ(suc(A),suc(A)) | -E(0,f(suc(C))) | -E(0,f(B)) | -E(0,f(suc(suc(C)))) | -E(f(C),f(suc(C))) | -iLEQ(suc(A),suc(B)). [factor(3,a,d),merge(d),merge(f),merge(l)].
% 25.98/26.26 55 -E(0,f(suc(A))) | -iLEQ(suc(B),suc(C)) | -E(0,f(A)) | -E(0,f(C)) | -E(0,f(suc(B))) | -iLEQ(suc(A),suc(A)) | -E(0,f(suc(C))) | -E(0,f(B)) | -iLEQ(suc(A),suc(B)) | E(f(A),f(suc(A))) | E(f(B),f(suc(B))) | E(f(C),f(suc(C))). [factor(12,a,c),merge(d),merge(l)].
% 25.98/26.26 336 -E(0,f(suc(A))) | -iLEQ(suc(A),suc(A)) | -E(0,f(suc(suc(A)))) | -E(0,f(A)) | -E(f(A),f(suc(A))). [factor(27,b,j),merge(e),merge(f),merge(h),merge(i),merge(j),merge(k),merge(l),merge(m),merge(n)].
% 25.98/26.26 487 -E(0,f(suc(A))) | -iLEQ(suc(A),suc(A)) | -E(0,f(A)) | E(f(A),f(suc(A))). [factor(55,b,f),merge(d),merge(e),merge(f),merge(g),merge(h),merge(j),merge(k)].
% 25.98/26.26 2996 E(0,f(z)). [resolve(5,b,2,a)].
% 25.98/26.26 2997 E(0,f(suc(z))). [resolve(7,b,2,a)].
% 25.98/26.26 2998 E(0,f(suc(suc(z)))). [resolve(9,b,2,a)].
% 25.98/26.26 2999 E(f(z),f(suc(z))) | iLEQ(suc(z),suc(z)). [resolve(2997,a,10,b),unit_del(a,2996)].
% 25.98/26.26 3000 -E(f(z),f(suc(z))) | iLEQ(suc(z),suc(z)). [resolve(2998,a,11,a),unit_del(a,2997),unit_del(c,2996)].
% 25.98/26.26 3028 E(f(z),f(suc(z))). [resolve(2999,b,487,b),merge(d),unit_del(b,2997),unit_del(c,2996)].
% 25.98/26.26 3029 iLEQ(suc(z),suc(z)). [back_unit_del(3000),unit_del(a,3028)].
% 25.98/26.26 3090 $F. [resolve(3029,a,336,b),unit_del(a,2997),unit_del(b,2998),unit_del(c,2996),unit_del(d,3028)].
% 25.98/26.26
% 25.98/26.26 % SZS output end Refutation
% 25.98/26.26 ============================== end of proof ==========================
% 25.98/26.26
% 25.98/26.26 ============================== STATISTICS ============================
% 25.98/26.26
% 25.98/26.26 Given=2983. Generated=30408. Kept=3086. proofs=1.
% 25.98/26.26 Usable=2983. Sos=28. Demods=0. Limbo=60, Disabled=38. Hints=0.
% 25.98/26.26 Megabytes=8.54.
% 25.98/26.26 User_CPU=25.27, System_CPU=0.02, Wall_clock=25.
% 25.98/26.26
% 25.98/26.26 ============================== end of statistics =====================
% 25.98/26.26
% 25.98/26.26 ============================== end of search =========================
% 25.98/26.26
% 25.98/26.26 THEOREM PROVED
% 25.98/26.26 % SZS status Unsatisfiable
% 25.98/26.26
% 25.98/26.26 Exiting with 1 proof.
% 25.98/26.26
% 25.98/26.26 Process 2251 exit (max_proofs) Sat Jul 9 08:49:09 2022
% 25.98/26.26 Prover9 interrupted
%------------------------------------------------------------------------------