TSTP Solution File: KRS134+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 03:25:04 EDT 2022
% Result : Theorem 0.44s 0.98s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS134+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n019.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 Jun 7 12:19:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/0.98 ============================== Prover9 ===============================
% 0.44/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.44/0.98 Process 7302 was started by sandbox2 on n019.cluster.edu,
% 0.44/0.98 Tue Jun 7 12:19:55 2022
% 0.44/0.98 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7149_n019.cluster.edu".
% 0.44/0.98 ============================== end of head ===========================
% 0.44/0.98
% 0.44/0.98 ============================== INPUT =================================
% 0.44/0.98
% 0.44/0.98 % Reading from file /tmp/Prover9_7149_n019.cluster.edu
% 0.44/0.98
% 0.44/0.98 set(prolog_style_variables).
% 0.44/0.98 set(auto2).
% 0.44/0.98 % set(auto2) -> set(auto).
% 0.44/0.98 % set(auto) -> set(auto_inference).
% 0.44/0.98 % set(auto) -> set(auto_setup).
% 0.44/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.44/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/0.98 % set(auto) -> set(auto_limits).
% 0.44/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/0.98 % set(auto) -> set(auto_denials).
% 0.44/0.98 % set(auto) -> set(auto_process).
% 0.44/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.44/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.44/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.44/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.44/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.44/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.44/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.44/0.98 % set(auto2) -> assign(stats, some).
% 0.44/0.98 % set(auto2) -> clear(echo_input).
% 0.44/0.98 % set(auto2) -> set(quiet).
% 0.44/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.44/0.98 % set(auto2) -> clear(print_given).
% 0.44/0.98 assign(lrs_ticks,-1).
% 0.44/0.98 assign(sos_limit,10000).
% 0.44/0.98 assign(order,kbo).
% 0.44/0.98 set(lex_order_vars).
% 0.44/0.98 clear(print_given).
% 0.44/0.98
% 0.44/0.98 % formulas(sos). % not echoed (4 formulas)
% 0.44/0.98
% 0.44/0.98 ============================== end of input ==========================
% 0.44/0.98
% 0.44/0.98 % From the command line: assign(max_seconds, 300).
% 0.44/0.98
% 0.44/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/0.98
% 0.44/0.98 % Formulas that are not ordinary clauses:
% 0.44/0.98 1 (all X (cowlThing(X) & -cowlNothing(X))) # label(axiom_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 2 (all X (xsd_string(X) <-> -xsd_integer(X))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 3 (all X all Y (rprop(X,Y) -> cA(Y))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 4 -((all X (cowlThing(X) & -cowlNothing(X))) & (all X (xsd_string(X) <-> -xsd_integer(X))) & (all X (cowlThing(X) -> (all Y (rprop(X,Y) -> cA(Y)))))) # label(the_axiom) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/0.98
% 0.44/0.98 ============================== end of process non-clausal formulas ===
% 0.44/0.98
% 0.44/0.98 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/0.98
% 0.44/0.98 ============================== PREDICATE ELIMINATION =================
% 0.44/0.98 5 -xsd_string(A) | -xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.44/0.98 6 xsd_string(A) | xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.44/0.98 7 -cowlThing(c1) | cowlNothing(c1) | xsd_string(c2) | -xsd_integer(c2) | cowlThing(c3) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 Derived: -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | cowlThing(c3) | -xsd_integer(c2). [resolve(7,c,5,a)].
% 0.44/0.98 8 -cowlThing(c1) | cowlNothing(c1) | xsd_string(c2) | -xsd_integer(c2) | -cA(c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 Derived: -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | -cA(c4) | -xsd_integer(c2). [resolve(8,c,5,a)].
% 0.44/0.98 9 -cowlThing(c1) | cowlNothing(c1) | -xsd_string(c2) | xsd_integer(c2) | cowlThing(c3) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 Derived: -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | cowlThing(c3) | xsd_integer(c2). [resolve(9,c,6,a)].
% 0.44/0.98 10 -cowlThing(c1) | cowlNothing(c1) | -xsd_string(c2) | xsd_integer(c2) | -cA(c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 Derived: -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | -cA(c4) | xsd_integer(c2). [resolve(10,c,6,a)].
% 0.44/0.98 11 -cowlThing(c1) | cowlNothing(c1) | xsd_string(c2) | -xsd_integer(c2) | rprop(c3,c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 Derived: -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | rprop(c3,c4) | -xsd_integer(c2). [resolve(11,c,5,a)].
% 0.44/0.98 12 -cowlThing(c1) | cowlNothing(c1) | -xsd_string(c2) | xsd_integer(c2) | rprop(c3,c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 Derived: -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | rprop(c3,c4) | xsd_integer(c2). [resolve(12,c,6,a)].
% 0.44/0.98 13 -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | cowlThing(c3) | -xsd_integer(c2). [resolve(7,c,5,a)].
% 0.44/0.98 14 -cowlNothing(A) # label(axiom_0) # label(axiom). [clausify(1)].
% 0.44/0.98 Derived: -cowlThing(c1) | -xsd_integer(c2) | cowlThing(c3) | -xsd_integer(c2). [resolve(13,b,14,a)].
% 0.44/0.98 15 -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | -cA(c4) | -xsd_integer(c2). [resolve(8,c,5,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | -xsd_integer(c2) | -cA(c4) | -xsd_integer(c2). [resolve(15,b,14,a)].
% 0.44/0.98 16 -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | cowlThing(c3) | xsd_integer(c2). [resolve(9,c,6,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | xsd_integer(c2) | cowlThing(c3) | xsd_integer(c2). [resolve(16,b,14,a)].
% 0.44/0.98 17 -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | -cA(c4) | xsd_integer(c2). [resolve(10,c,6,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | xsd_integer(c2) | -cA(c4) | xsd_integer(c2). [resolve(17,b,14,a)].
% 0.44/0.98 18 -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | rprop(c3,c4) | -xsd_integer(c2). [resolve(11,c,5,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | -xsd_integer(c2) | rprop(c3,c4) | -xsd_integer(c2). [resolve(18,b,14,a)].
% 0.44/0.98 19 -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | rprop(c3,c4) | xsd_integer(c2). [resolve(12,c,6,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | xsd_integer(c2) | rprop(c3,c4) | xsd_integer(c2). [resolve(19,b,14,a)].
% 0.44/0.98 20 -cowlThing(c1) | -xsd_integer(c2) | rprop(c3,c4) | -xsd_integer(c2). [resolve(18,b,14,a)].
% 0.44/0.98 21 -rprop(A,B) | cA(B) # label(axiom_2) # label(axiom). [clausify(3)].
% 0.44/0.98 Derived: -cowlThing(c1) | -xsd_integer(c2) | -xsd_integer(c2) | cA(c4). [resolve(20,c,21,a)].
% 0.44/0.98 22 -cowlThing(c1) | xsd_integer(c2) | rprop(c3,c4) | xsd_integer(c2). [resolve(19,b,14,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | xsd_integer(c2) | xsd_integer(c2) | cA(c4). [resolve(22,c,21,a)].
% 0.44/0.98 23 -cowlThing(c1) | -xsd_integer(c2) | -xsd_integer(c2) | cA(c4). [resolve(20,c,21,a)].
% 0.44/0.98 24 -cowlThing(c1) | -xsd_integer(c2) | -cA(c4) | -xsd_integer(c2). [resolve(15,b,14,a)].
% 0.44/0.98 25 -cowlThing(c1) | xsd_integer(c2) | -cA(c4) | xsd_integer(c2). [resolve(17,b,14,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | -xsd_integer(c2) | -xsd_integer(c2) | -cowlThing(c1) | -xsd_integer(c2) | -xsd_integer(c2). [resolve(23,d,24,c)].
% 0.44/0.98 26 -cowlThing(c1) | xsd_integer(c2) | xsd_integer(c2) | cA(c4). [resolve(22,c,21,a)].
% 0.44/0.98 Derived: -cowlThing(c1) | xsd_integer(c2) | xsd_integer(c2) | -cowlThing(c1) | xsd_integer(c2) | xsd_integer(c2). [resolve(26,d,25,c)].
% 0.44/0.98
% 0.44/0.98 ============================== end predicate elimination =============
% 0.44/0.98
% 0.44/0.98 Auto_denials: (non-Horn, no changes).
% 0.44/0.98
% 0.44/0.98 Term ordering decisions:
% 0.44/0.98 Function symbol KB weights: c1=1. c2=1. c3=1.
% 0.44/0.98
% 0.44/0.98 ============================== PROOF =================================
% 0.44/0.98 % SZS status Theorem
% 0.44/0.98 % SZS output start Refutation
% 0.44/0.98
% 0.44/0.98 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.44/0.98 % Length of proof is 27.
% 0.44/0.98 % Level of proof is 7.
% 0.44/0.98 % Maximum clause weight is 2.000.
% 0.44/0.98 % Given clauses 0.
% 0.44/0.98
% 0.44/0.98 1 (all X (cowlThing(X) & -cowlNothing(X))) # label(axiom_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 2 (all X (xsd_string(X) <-> -xsd_integer(X))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 3 (all X all Y (rprop(X,Y) -> cA(Y))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/0.98 4 -((all X (cowlThing(X) & -cowlNothing(X))) & (all X (xsd_string(X) <-> -xsd_integer(X))) & (all X (cowlThing(X) -> (all Y (rprop(X,Y) -> cA(Y)))))) # label(the_axiom) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/0.98 5 -xsd_string(A) | -xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.44/0.98 6 xsd_string(A) | xsd_integer(A) # label(axiom_1) # label(axiom). [clausify(2)].
% 0.44/0.98 8 -cowlThing(c1) | cowlNothing(c1) | xsd_string(c2) | -xsd_integer(c2) | -cA(c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 10 -cowlThing(c1) | cowlNothing(c1) | -xsd_string(c2) | xsd_integer(c2) | -cA(c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 11 -cowlThing(c1) | cowlNothing(c1) | xsd_string(c2) | -xsd_integer(c2) | rprop(c3,c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 12 -cowlThing(c1) | cowlNothing(c1) | -xsd_string(c2) | xsd_integer(c2) | rprop(c3,c4) # label(the_axiom) # label(negated_conjecture). [clausify(4)].
% 0.44/0.98 14 -cowlNothing(A) # label(axiom_0) # label(axiom). [clausify(1)].
% 0.44/0.98 15 -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | -cA(c4) | -xsd_integer(c2). [resolve(8,c,5,a)].
% 0.44/0.98 17 -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | -cA(c4) | xsd_integer(c2). [resolve(10,c,6,a)].
% 0.44/0.98 18 -cowlThing(c1) | cowlNothing(c1) | -xsd_integer(c2) | rprop(c3,c4) | -xsd_integer(c2). [resolve(11,c,5,a)].
% 0.44/0.98 19 -cowlThing(c1) | cowlNothing(c1) | xsd_integer(c2) | rprop(c3,c4) | xsd_integer(c2). [resolve(12,c,6,a)].
% 0.44/0.98 20 -cowlThing(c1) | -xsd_integer(c2) | rprop(c3,c4) | -xsd_integer(c2). [resolve(18,b,14,a)].
% 0.44/0.98 21 -rprop(A,B) | cA(B) # label(axiom_2) # label(axiom). [clausify(3)].
% 0.44/0.98 22 -cowlThing(c1) | xsd_integer(c2) | rprop(c3,c4) | xsd_integer(c2). [resolve(19,b,14,a)].
% 0.44/0.98 23 -cowlThing(c1) | -xsd_integer(c2) | -xsd_integer(c2) | cA(c4). [resolve(20,c,21,a)].
% 0.44/0.98 24 -cowlThing(c1) | -xsd_integer(c2) | -cA(c4) | -xsd_integer(c2). [resolve(15,b,14,a)].
% 0.44/0.98 25 -cowlThing(c1) | xsd_integer(c2) | -cA(c4) | xsd_integer(c2). [resolve(17,b,14,a)].
% 0.44/0.98 26 -cowlThing(c1) | xsd_integer(c2) | xsd_integer(c2) | cA(c4). [resolve(22,c,21,a)].
% 0.44/0.98 27 cowlThing(A) # label(axiom_0) # label(axiom). [clausify(1)].
% 0.44/0.98 30 -cowlThing(c1) | -xsd_integer(c2) | -xsd_integer(c2) | -cowlThing(c1) | -xsd_integer(c2) | -xsd_integer(c2). [resolve(23,d,24,c)].
% 0.44/0.98 31 -xsd_integer(c2). [copy(30),merge(c),merge(d),merge(e),merge(f),unit_del(a,27)].
% 0.44/0.98 32 -cowlThing(c1) | xsd_integer(c2) | xsd_integer(c2) | -cowlThing(c1) | xsd_integer(c2) | xsd_integer(c2). [resolve(26,d,25,c)].
% 0.44/0.98 33 $F. [copy(32),merge(c),merge(d),merge(e),merge(f),unit_del(a,27),unit_del(b,31)].
% 0.44/0.98
% 0.44/0.98 % SZS output end Refutation
% 0.44/0.98 ============================== end of proof ==========================
% 0.44/0.98
% 0.44/0.98 ============================== STATISTICS ============================
% 0.44/0.98
% 0.44/0.98 Given=0. Generated=5. Kept=2. proofs=1.
% 0.44/0.98 Usable=0. Sos=0. Demods=0. Limbo=2, Disabled=27. Hints=0.
% 0.44/0.98 Megabytes=0.03.
% 0.44/0.98 User_CPU=0.01, System_CPU=0.00, Wall_clock=1.
% 0.44/0.98
% 0.44/0.98 ============================== end of statistics =====================
% 0.44/0.98
% 0.44/0.98 ============================== end of search =========================
% 0.44/0.98
% 0.44/0.98 THEOREM PROVED
% 0.44/0.98 % SZS status Theorem
% 0.44/0.98
% 0.44/0.98 Exiting with 1 proof.
% 0.44/0.98
% 0.44/0.98 Process 7302 exit (max_proofs) Tue Jun 7 12:19:56 2022
% 0.44/0.99 Prover9 interrupted
%------------------------------------------------------------------------------