TSTP Solution File: LCL208-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL208-1 : TPTP v8.1.0. Released v1.1.0.
% 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 13:44:56 EDT 2022
% Result : Unsatisfiable 0.88s 1.18s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL208-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : Sat Jul 2 14:31:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/0.99 ============================== Prover9 ===============================
% 0.72/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.72/0.99 Process 9508 was started by sandbox on n005.cluster.edu,
% 0.72/0.99 Sat Jul 2 14:31:08 2022
% 0.72/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9355_n005.cluster.edu".
% 0.72/0.99 ============================== end of head ===========================
% 0.72/0.99
% 0.72/0.99 ============================== INPUT =================================
% 0.72/0.99
% 0.72/0.99 % Reading from file /tmp/Prover9_9355_n005.cluster.edu
% 0.72/0.99
% 0.72/0.99 set(prolog_style_variables).
% 0.72/0.99 set(auto2).
% 0.72/0.99 % set(auto2) -> set(auto).
% 0.72/0.99 % set(auto) -> set(auto_inference).
% 0.72/0.99 % set(auto) -> set(auto_setup).
% 0.72/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.72/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/0.99 % set(auto) -> set(auto_limits).
% 0.72/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/0.99 % set(auto) -> set(auto_denials).
% 0.72/0.99 % set(auto) -> set(auto_process).
% 0.72/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.72/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.72/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.72/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.72/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.72/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.72/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.72/0.99 % set(auto2) -> assign(stats, some).
% 0.72/0.99 % set(auto2) -> clear(echo_input).
% 0.72/0.99 % set(auto2) -> set(quiet).
% 0.72/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.72/0.99 % set(auto2) -> clear(print_given).
% 0.72/0.99 assign(lrs_ticks,-1).
% 0.72/0.99 assign(sos_limit,10000).
% 0.72/0.99 assign(order,kbo).
% 0.72/0.99 set(lex_order_vars).
% 0.72/0.99 clear(print_given).
% 0.72/0.99
% 0.72/0.99 % formulas(sos). % not echoed (9 formulas)
% 0.72/0.99
% 0.72/0.99 ============================== end of input ==========================
% 0.72/0.99
% 0.72/0.99 % From the command line: assign(max_seconds, 300).
% 0.72/0.99
% 0.72/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/0.99
% 0.72/0.99 % Formulas that are not ordinary clauses:
% 0.72/0.99
% 0.72/0.99 ============================== end of process non-clausal formulas ===
% 0.72/0.99
% 0.72/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/0.99
% 0.72/0.99 ============================== PREDICATE ELIMINATION =================
% 0.72/0.99 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 0.72/0.99 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 0.72/0.99 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 0.72/0.99 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 0.72/0.99 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 0.72/0.99 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 0.72/0.99 Derived: theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 0.72/0.99 Derived: theorem(or(not(A),or(B,A))). [resolve(1,b,3,a)].
% 0.72/0.99 Derived: theorem(or(not(or(A,B)),or(B,A))). [resolve(1,b,4,a)].
% 0.72/0.99 Derived: theorem(or(not(or(A,or(B,C))),or(B,or(A,C)))). [resolve(1,b,5,a)].
% 0.72/0.99 Derived: theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))). [resolve(1,b,6,a)].
% 0.72/0.99 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 0.72/0.99 Derived: theorem(A) | -theorem(or(A,A)). [resolve(7,b,2,a)].
% 0.72/0.99 Derived: theorem(or(A,B)) | -theorem(B). [resolve(7,b,3,a)].
% 0.72/0.99 Derived: theorem(or(A,B)) | -theorem(or(B,A)). [resolve(7,b,4,a)].
% 0.72/0.99 Derived: theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 0.72/0.99 Derived: theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 0.72/0.99 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 0.72/0.99 Derived: theorem(or(not(or(A,A)),B)) | -theorem(or(not(A),B)). [resolve(8,b,2,a)].
% 0.72/0.99 Derived: theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 0.72/0.99 Derived: theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 0.72/0.99 Derived: theorem(or(not(or(A,or(B,C))),D)) | -theorem(or(not(or(B,or(A,C))),D)). [resolve(8,b,5,a)].
% 0.88/1.18 Derived: theorem(or(not(or(not(A),B)),C)) | -theorem(or(not(or(not(or(D,A)),or(D,B))),C)). [resolve(8,b,6,a)].
% 0.88/1.18
% 0.88/1.18 ============================== end predicate elimination =============
% 0.88/1.18
% 0.88/1.18 Auto_denials:
% 0.88/1.18 % copying label prove_this to answer in negative clause
% 0.88/1.18
% 0.88/1.18 Term ordering decisions:
% 0.88/1.18
% 0.88/1.18 % Assigning unary symbol not kb_weight 0 and highest precedence (5).
% 0.88/1.18 Function symbol KB weights: p=1. q=1. or=1. not=0.
% 0.88/1.18
% 0.88/1.18 ============================== end of process initial clauses ========
% 0.88/1.18
% 0.88/1.18 ============================== CLAUSES FOR SEARCH ====================
% 0.88/1.18
% 0.88/1.18 ============================== end of clauses for search =============
% 0.88/1.18
% 0.88/1.18 ============================== SEARCH ================================
% 0.88/1.18
% 0.88/1.18 % Starting search at 0.01 seconds.
% 0.88/1.18
% 0.88/1.18 ============================== PROOF =================================
% 0.88/1.18 % SZS status Unsatisfiable
% 0.88/1.18 % SZS output start Refutation
% 0.88/1.18
% 0.88/1.18 % Proof 1 at 0.19 (+ 0.01) seconds: prove_this.
% 0.88/1.18 % Length of proof is 22.
% 0.88/1.18 % Level of proof is 6.
% 0.88/1.18 % Maximum clause weight is 20.000.
% 0.88/1.18 % Given clauses 676.
% 0.88/1.18
% 0.88/1.18 1 theorem(A) | -axiom(A) # label(rule_1) # label(axiom). [assumption].
% 0.88/1.18 2 axiom(or(not(or(A,A)),A)) # label(axiom_1_2) # label(axiom). [assumption].
% 0.88/1.18 3 axiom(or(not(A),or(B,A))) # label(axiom_1_3) # label(axiom). [assumption].
% 0.88/1.18 4 axiom(or(not(or(A,B)),or(B,A))) # label(axiom_1_4) # label(axiom). [assumption].
% 0.88/1.18 5 axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) # label(axiom_1_5) # label(axiom). [assumption].
% 0.88/1.18 6 axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) # label(axiom_1_6) # label(axiom). [assumption].
% 0.88/1.18 7 theorem(A) | -axiom(or(not(B),A)) | -theorem(B) # label(rule_2) # label(axiom). [assumption].
% 0.88/1.18 8 theorem(or(not(A),B)) | -axiom(or(not(A),C)) | -theorem(or(not(C),B)) # label(rule_3) # label(axiom). [assumption].
% 0.88/1.18 9 -theorem(or(not(or(p,q)),or(not(not(p)),q))) # label(prove_this) # label(negated_conjecture) # answer(prove_this). [assumption].
% 0.88/1.18 10 theorem(or(not(or(A,A)),A)). [resolve(1,b,2,a)].
% 0.88/1.18 18 theorem(or(A,or(B,C))) | -theorem(or(B,or(A,C))). [resolve(7,b,5,a)].
% 0.88/1.18 19 theorem(or(not(or(A,B)),or(A,C))) | -theorem(or(not(B),C)). [resolve(7,b,6,a)].
% 0.88/1.18 21 theorem(or(not(A),B)) | -theorem(or(not(or(C,A)),B)). [resolve(8,b,3,a)].
% 0.88/1.18 22 theorem(or(not(or(A,B)),C)) | -theorem(or(not(or(B,A)),C)). [resolve(8,b,4,a)].
% 0.88/1.18 24 theorem(or(not(or(not(A),B)),C)) | -theorem(or(not(or(not(or(D,A)),or(D,B))),C)). [resolve(8,b,6,a)].
% 0.88/1.18 48 theorem(or(not(or(A,or(B,B))),or(A,B))). [ur(19,b,10,a)].
% 0.88/1.18 59 -theorem(or(not(or(q,p)),or(not(not(p)),q))) # answer(prove_this). [resolve(22,a,9,a)].
% 0.88/1.18 509 theorem(or(not(or(not(A),B)),or(not(or(B,A)),B))). [ur(24,b,48,a)].
% 0.88/1.18 548 -theorem(or(not(not(p)),or(not(or(q,p)),q))) # answer(prove_this). [resolve(59,a,18,a)].
% 0.88/1.18 638 -theorem(or(not(or(A,not(p))),or(not(or(q,p)),q))) # answer(prove_this). [resolve(548,a,21,a)].
% 0.88/1.18 2216 -theorem(or(not(or(not(p),A)),or(not(or(q,p)),q))) # answer(prove_this). [resolve(638,a,22,a)].
% 0.88/1.18 2217 $F # answer(prove_this). [resolve(2216,a,509,a)].
% 0.88/1.18
% 0.88/1.18 % SZS output end Refutation
% 0.88/1.18 ============================== end of proof ==========================
% 0.88/1.18
% 0.88/1.18 ============================== STATISTICS ============================
% 0.88/1.18
% 0.88/1.18 Given=676. Generated=5180. Kept=2208. proofs=1.
% 0.88/1.18 Usable=675. Sos=1385. Demods=0. Limbo=1, Disabled=170. Hints=0.
% 0.88/1.18 Megabytes=1.83.
% 0.88/1.18 User_CPU=0.19, System_CPU=0.01, Wall_clock=0.
% 0.88/1.18
% 0.88/1.18 ============================== end of statistics =====================
% 0.88/1.18
% 0.88/1.18 ============================== end of search =========================
% 0.88/1.18
% 0.88/1.18 THEOREM PROVED
% 0.88/1.18 % SZS status Unsatisfiable
% 0.88/1.18
% 0.88/1.18 Exiting with 1 proof.
% 0.88/1.18
% 0.88/1.18 Process 9508 exit (max_proofs) Sat Jul 2 14:31:08 2022
% 0.88/1.18 Prover9 interrupted
%------------------------------------------------------------------------------