TSTP Solution File: MSC007-2.005 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 : 300s
% DateTime : Fri May 19 11:35:47 EDT 2023
% Result : Unsatisfiable 2.99s 1.69s
% Output : Refutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 42
% Syntax : Number of formulae : 72 ( 51 unt; 13 typ; 0 def)
% Number of atoms : 81 ( 42 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 118 ( 48 ~; 22 |; 0 &; 48 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(hole_type,type,
hole: $i > $o ).
thf(pigeon_type,type,
pigeon: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(pigeon_1_type,type,
pigeon_1: $i ).
thf(pigeon_5_type,type,
pigeon_5: $i ).
thf(pigeon_3_type,type,
pigeon_3: $i ).
thf(pigeon_4_type,type,
pigeon_4: $i ).
thf(pigeon_2_type,type,
pigeon_2: $i ).
thf(hole_2_type,type,
hole_2: $i ).
thf(hole_3_type,type,
hole_3: $i ).
thf(hole_4_type,type,
hole_4: $i ).
thf(hole_1_type,type,
hole_1: $i ).
thf(hole_of_type,type,
hole_of: $i > $i ).
thf(14,axiom,
pigeon_4 != pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_4_is_not_pigeon_5) ).
thf(69,plain,
pigeon_4 != pigeon_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
hole_2 != hole_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_2_is_not_hole_3) ).
thf(42,plain,
hole_2 != hole_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,axiom,
hole @ hole_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_3) ).
thf(84,plain,
hole @ hole_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(2,axiom,
pigeon_1 != pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_5) ).
thf(33,plain,
pigeon_1 != pigeon_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(27,axiom,
! [A: $i] :
( ~ ( pigeon @ A )
| ( hole @ ( hole_of @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole1) ).
thf(92,plain,
! [A: $i] :
( ~ ( pigeon @ A )
| ( hole @ ( hole_of @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,axiom,
pigeon @ pigeon_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2) ).
thf(96,plain,
pigeon @ pigeon_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(6,axiom,
pigeon_2 != pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_5) ).
thf(45,plain,
pigeon_2 != pigeon_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
pigeon_1 != pigeon_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_4) ).
thf(72,plain,
pigeon_1 != pigeon_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(24,axiom,
! [A: $i] :
( ~ ( hole @ A )
| ( A = hole_1 )
| ( A = hole_2 )
| ( A = hole_3 )
| ( A = hole_4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_holes) ).
thf(87,plain,
! [A: $i] :
( ~ ( hole @ A )
| ( A = hole_1 )
| ( A = hole_2 )
| ( A = hole_3 )
| ( A = hole_4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(28,axiom,
! [A: $i] :
( ~ ( pigeon @ A )
| ( in @ A @ ( hole_of @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_pigeons_hole2) ).
thf(94,plain,
! [A: $i] :
( ~ ( pigeon @ A )
| ( in @ A @ ( hole_of @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,axiom,
hole_1 != hole_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_1_is_not_hole_3) ).
thf(57,plain,
hole_1 != hole_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
pigeon_3 != pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_5) ).
thf(78,plain,
pigeon_3 != pigeon_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(11,axiom,
hole_1 != hole_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_1_is_not_hole_2) ).
thf(60,plain,
hole_1 != hole_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(22,axiom,
pigeon @ pigeon_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3) ).
thf(85,plain,
pigeon @ pigeon_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(9,axiom,
hole_1 != hole_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_1_is_not_hole_4) ).
thf(54,plain,
hole_1 != hole_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(23,axiom,
hole @ hole_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_4) ).
thf(86,plain,
hole @ hole_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(18,axiom,
pigeon @ pigeon_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_4) ).
thf(81,plain,
pigeon @ pigeon_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,axiom,
pigeon_2 != pigeon_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_3) ).
thf(39,plain,
pigeon_2 != pigeon_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(26,axiom,
hole @ hole_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_2) ).
thf(91,plain,
hole @ hole_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(13,axiom,
pigeon_1 != pigeon_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_3) ).
thf(66,plain,
pigeon_1 != pigeon_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
pigeon_2 != pigeon_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_2_is_not_pigeon_4) ).
thf(48,plain,
pigeon_2 != pigeon_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
hole_2 != hole_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_2_is_not_hole_4) ).
thf(63,plain,
hole_2 != hole_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
pigeon_1 != pigeon_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1_is_not_pigeon_2) ).
thf(75,plain,
pigeon_1 != pigeon_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(19,axiom,
hole @ hole_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_1) ).
thf(82,plain,
hole @ hole_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(3,axiom,
pigeon_3 != pigeon_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_3_is_not_pigeon_4) ).
thf(36,plain,
pigeon_3 != pigeon_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( hole @ A )
| ~ ( pigeon @ B )
| ~ ( pigeon @ C )
| ~ ( in @ B @ A )
| ~ ( in @ C @ A )
| ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_one_per_hole) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( hole @ A )
| ~ ( pigeon @ B )
| ~ ( pigeon @ C )
| ~ ( in @ B @ A )
| ~ ( in @ C @ A )
| ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
hole_3 != hole_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hole_3_is_not_hole_4) ).
thf(51,plain,
hole_3 != hole_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(25,axiom,
pigeon @ pigeon_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_5) ).
thf(90,plain,
pigeon @ pigeon_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(20,axiom,
pigeon @ pigeon_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon_1) ).
thf(83,plain,
pigeon @ pigeon_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(97,plain,
$false,
inference(cvc4,[status(thm)],[69,42,84,33,92,96,45,72,87,94,57,78,60,85,54,86,81,39,91,66,48,63,75,82,36,30,51,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MSC007-2.005 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 15:34:30 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.83/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.98 % [INFO] Parsing done (114ms).
% 1.15/0.98 % [INFO] Running in sequential loop mode.
% 1.68/1.20 % [INFO] eprover registered as external prover.
% 1.68/1.20 % [INFO] cvc4 registered as external prover.
% 1.68/1.20 % [INFO] Scanning for conjecture ...
% 1.83/1.26 % [INFO] Found a conjecture and 31 axioms. Running axiom selection ...
% 1.83/1.31 % [INFO] Axiom selection finished. Selected 28 axioms (removed 3 axioms).
% 1.83/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 1.83/1.32 % [INFO] Type checking passed.
% 1.83/1.33 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.85/1.68 % External prover 'cvc4' found a proof!
% 2.85/1.68 % [INFO] Killing All external provers ...
% 2.99/1.69 % Time passed: 1155ms (effective reasoning time: 698ms)
% 2.99/1.69 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.99/1.69 % Axioms used in derivation (28): pigeon_2_is_not_pigeon_5, each_pigeons_hole1, hole_1, pigeon_5, pigeon_1_is_not_pigeon_2, hole_2, pigeon_2_is_not_pigeon_4, pigeon_1, pigeon_4, hole_1_is_not_hole_4, pigeon_3_is_not_pigeon_5, hole_3, hole_3_is_not_hole_4, hole_4, pigeon_4_is_not_pigeon_5, pigeon_1_is_not_pigeon_5, all_holes, hole_1_is_not_hole_2, pigeon_3, pigeon_1_is_not_pigeon_3, hole_2_is_not_hole_3, pigeon_2_is_not_pigeon_3, each_pigeons_hole2, hole_1_is_not_hole_3, hole_2_is_not_hole_4, pigeon_2, pigeon_1_is_not_pigeon_4, pigeon_3_is_not_pigeon_4
% 2.99/1.69 % No. of inferences in proof: 59
% 2.99/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1155 ms resp. 698 ms w/o parsing
% 2.99/1.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.99/1.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------