TSTP Solution File: PUZ134_1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ134_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 11:47:47 EDT 2023
% Result : Theorem 3.53s 1.86s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 52
% Syntax : Number of formulae : 90 ( 49 unt; 16 typ; 0 def)
% Number of atoms : 131 ( 98 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 245 ( 57 ~; 19 |; 21 &; 131 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 38 !; 4 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(knowheyan_type,type,
knowheyan: $tType ).
thf(job_type,type,
job: $tType ).
thf(age_type,type,
age: $tType ).
thf(age_of_type,type,
age_of: knowheyan > age ).
thf(job_of_type,type,
job_of: knowheyan > job ).
thf(greater_type,type,
greater: age > age > $o ).
thf(a_type,type,
a: knowheyan ).
thf(b_type,type,
b: knowheyan ).
thf(c_type,type,
c: knowheyan ).
thf(d_type,type,
d: knowheyan ).
thf(e_type,type,
e: knowheyan ).
thf(airfoil_technician_type,type,
airfoil_technician: job ).
thf(communications_consultant_type,type,
communications_consultant: job ).
thf(space_planner_type,type,
space_planner: job ).
thf(lunar_energy_engineer_type,type,
lunar_energy_engineer: job ).
thf(synthetic_food_nutitionist_type,type,
synthetic_food_nutitionist: job ).
thf(28,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
thf(120,plain,
c != d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(30,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
thf(125,plain,
b != c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(6,axiom,
! [A: age,B: age] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_irreflexive) ).
thf(57,plain,
! [A: age,B: age] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
thf(89,plain,
a != c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(19,axiom,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( job_of @ A )
!= ( job_of @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_jobs) ).
thf(92,plain,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( job_of @ A )
!= ( job_of @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,axiom,
d != e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_not_e) ).
thf(96,plain,
d != e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(3,axiom,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( age_of @ A )
!= ( age_of @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_ages) ).
thf(41,plain,
! [A: knowheyan,B: knowheyan] :
( ( A != B )
=> ( ( age_of @ A )
!= ( age_of @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: age,B: age,C: age] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_transitive) ).
thf(45,plain,
! [A: age,B: age,C: age] :
( ( ( greater @ A @ B )
& ( greater @ B @ C ) )
=> ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,axiom,
c != e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_e) ).
thf(76,plain,
c != e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(29,axiom,
? [A: knowheyan] : ( greater @ ( age_of @ c ) @ ( age_of @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_youngest) ).
thf(123,plain,
? [A: knowheyan] : ( greater @ ( age_of @ c ) @ ( age_of @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(8,axiom,
lunar_energy_engineer != synthetic_food_nutitionist,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lunar_energy_engineer_not_synthetic_food_nutitionist) ).
thf(63,plain,
lunar_energy_engineer != synthetic_food_nutitionist,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,axiom,
airfoil_technician != communications_consultant,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',airfoil_technician_not_communications_consultant) ).
thf(99,plain,
airfoil_technician != communications_consultant,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(26,axiom,
! [A: knowheyan,B: knowheyan] :
( ( ( ( job_of @ A )
= airfoil_technician )
& ( ( job_of @ B )
= space_planner ) )
=> ( greater @ ( age_of @ A ) @ ( age_of @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_job1) ).
thf(114,plain,
! [A: knowheyan,B: knowheyan] :
( ( ( ( job_of @ A )
= airfoil_technician )
& ( ( job_of @ B )
= space_planner ) )
=> ( greater @ ( age_of @ A ) @ ( age_of @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(15,axiom,
a != e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_e) ).
thf(82,plain,
a != e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(37,axiom,
greater @ ( age_of @ d ) @ ( age_of @ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_info2) ).
thf(146,plain,
greater @ ( age_of @ d ) @ ( age_of @ b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(14,axiom,
space_planner != lunar_energy_engineer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',space_planner_not_lunar_energy_engineer) ).
thf(79,plain,
space_planner != lunar_energy_engineer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(25,axiom,
! [A: knowheyan] :
( ( ( job_of @ A )
= communications_consultant )
=> ~ ? [B: knowheyan] : ( greater @ ( age_of @ B ) @ ( age_of @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communications_consultant_not_younger) ).
thf(111,plain,
! [A: knowheyan] :
( ( ( job_of @ A )
= communications_consultant )
=> ~ ? [B: knowheyan] : ( greater @ ( age_of @ B ) @ ( age_of @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(10,axiom,
! [A: job] :
( ( A = airfoil_technician )
| ( A = communications_consultant )
| ( A = space_planner )
| ( A = lunar_energy_engineer )
| ( A = synthetic_food_nutitionist ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_jobs) ).
thf(69,plain,
! [A: job] :
( ( A = airfoil_technician )
| ( A = communications_consultant )
| ( A = space_planner )
| ( A = lunar_energy_engineer )
| ( A = synthetic_food_nutitionist ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
greater @ ( age_of @ a ) @ ( age_of @ d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_info1) ).
thf(88,plain,
greater @ ( age_of @ a ) @ ( age_of @ d ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(16,axiom,
b != e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_e) ).
thf(85,plain,
b != e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(22,axiom,
! [A: knowheyan] :
( ( A = a )
| ( A = b )
| ( A = c )
| ( A = d )
| ( A = e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_knowheyans) ).
thf(102,plain,
! [A: knowheyan] :
( ( A = a )
| ( A = b )
| ( A = c )
| ( A = d )
| ( A = e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(7,axiom,
communications_consultant != lunar_energy_engineer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communications_consultant_not_lunar_energy_engineer) ).
thf(60,plain,
communications_consultant != lunar_energy_engineer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(27,axiom,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).
thf(117,plain,
a != d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(1,conjecture,
( ( ( job_of @ a )
= communications_consultant )
& ( ( job_of @ d )
= lunar_energy_engineer )
& ( ( job_of @ b )
= airfoil_technician )
& ( ( job_of @ c )
= space_planner )
& ( ( job_of @ e )
= synthetic_food_nutitionist ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',known_jobs) ).
thf(2,negated_conjecture,
~ ( ( ( job_of @ a )
= communications_consultant )
& ( ( job_of @ d )
= lunar_energy_engineer )
& ( ( job_of @ b )
= airfoil_technician )
& ( ( job_of @ c )
= space_planner )
& ( ( job_of @ e )
= synthetic_food_nutitionist ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(38,plain,
~ ( ( ( job_of @ a )
= communications_consultant )
& ( ( job_of @ d )
= lunar_energy_engineer )
& ( ( job_of @ b )
= airfoil_technician )
& ( ( job_of @ c )
= space_planner )
& ( ( job_of @ e )
= synthetic_food_nutitionist ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
thf(137,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(33,axiom,
communications_consultant != space_planner,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communications_consultant_not_space_planner) ).
thf(134,plain,
communications_consultant != space_planner,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(12,axiom,
! [A: knowheyan] :
( ( ( job_of @ A )
= lunar_energy_engineer )
=> ( greater @ ( age_of @ A ) @ ( age_of @ b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_info3) ).
thf(73,plain,
! [A: knowheyan] :
( ( ( job_of @ A )
= lunar_energy_engineer )
=> ( greater @ ( age_of @ A ) @ ( age_of @ b ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(31,axiom,
airfoil_technician != space_planner,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',airfoil_technician_not_space_planner) ).
thf(128,plain,
airfoil_technician != space_planner,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(23,axiom,
! [A: knowheyan,B: knowheyan] :
( ( ( ( job_of @ A )
= space_planner )
& ( ( job_of @ B )
= synthetic_food_nutitionist ) )
=> ( greater @ ( age_of @ A ) @ ( age_of @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_job2) ).
thf(105,plain,
! [A: knowheyan,B: knowheyan] :
( ( ( ( job_of @ A )
= space_planner )
& ( ( job_of @ B )
= synthetic_food_nutitionist ) )
=> ( greater @ ( age_of @ A ) @ ( age_of @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,axiom,
airfoil_technician != synthetic_food_nutitionist,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',airfoil_technician_not_synthetic_food_nutitionist) ).
thf(140,plain,
airfoil_technician != synthetic_food_nutitionist,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,axiom,
space_planner != synthetic_food_nutitionist,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',space_planner_not_synthetic_food_nutitionist) ).
thf(66,plain,
space_planner != synthetic_food_nutitionist,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(24,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).
thf(108,plain,
b != d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(11,axiom,
greater @ ( age_of @ b ) @ ( age_of @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_info4) ).
thf(72,plain,
greater @ ( age_of @ b ) @ ( age_of @ c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(36,axiom,
airfoil_technician != lunar_energy_engineer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',airfoil_technician_not_lunar_energy_engineer) ).
thf(143,plain,
airfoil_technician != lunar_energy_engineer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(32,axiom,
communications_consultant != synthetic_food_nutitionist,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',communications_consultant_not_synthetic_food_nutitionist) ).
thf(131,plain,
communications_consultant != synthetic_food_nutitionist,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(5,axiom,
! [A: age,B: age] :
( ( A != B )
<=> ( ( greater @ A @ B )
| ( greater @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',age_greater) ).
thf(47,plain,
! [A: age,B: age] :
( ( ( A != B )
=> ( ( greater @ A @ B )
| ( greater @ B @ A ) ) )
& ( ( ( greater @ A @ B )
| ( greater @ B @ A ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(147,plain,
$false,
inference(cvc4,[status(thm)],[120,125,57,89,92,96,41,45,76,123,63,99,114,82,146,79,111,69,88,85,102,60,117,38,137,134,73,128,105,140,66,108,72,143,131,47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ134_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 19:59:48 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.82/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.99 % [INFO] Parsing done (134ms).
% 1.20/0.99 % [INFO] Running in sequential loop mode.
% 1.73/1.19 % [INFO] eprover registered as external prover.
% 1.73/1.20 % [INFO] cvc4 registered as external prover.
% 1.73/1.20 % [INFO] Scanning for conjecture ...
% 1.90/1.26 % [INFO] Found a conjecture and 35 axioms. Running axiom selection ...
% 1.90/1.31 % [INFO] Axiom selection finished. Selected 35 axioms (removed 0 axioms).
% 2.16/1.34 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.16/1.35 % [INFO] Type checking passed.
% 2.16/1.35 % [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 ...
% 2.70/1.53 % [INFO] [Domain constraints] Detected constraint on job
% 2.70/1.53 % [INFO] [Domain constraints] dom(job) ⊆ {synthetic_food_nutitionist,lunar_energy_engineer,communications_consultant,space_planner,airfoil_technician}
% 2.70/1.56 % [INFO] [Domain constraints] Detected constraint on knowheyan
% 2.70/1.56 % [INFO] [Domain constraints] dom(knowheyan) ⊆ {e,a,b,c,d}
% 3.53/1.85 % External prover 'cvc4' found a proof!
% 3.53/1.85 % [INFO] Killing All external provers ...
% 3.53/1.86 % Time passed: 1330ms (effective reasoning time: 860ms)
% 3.53/1.86 % 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)>
% 3.53/1.86 % Axioms used in derivation (35): b_not_e, age_info4, unique_ages, space_planner_not_synthetic_food_nutitionist, b_not_c, age_job2, unique_jobs, age_info1, space_planner_not_lunar_energy_engineer, airfoil_technician_not_synthetic_food_nutitionist, airfoil_technician_not_lunar_energy_engineer, communications_consultant_not_lunar_energy_engineer, age_job1, age_irreflexive, c_not_youngest, lunar_energy_engineer_not_synthetic_food_nutitionist, communications_consultant_not_space_planner, a_not_d, a_not_c, communications_consultant_not_younger, age_info2, c_not_e, b_not_d, a_not_b, c_not_d, airfoil_technician_not_space_planner, age_greater, airfoil_technician_not_communications_consultant, only_jobs, age_transitive, d_not_e, a_not_e, age_info3, only_knowheyans, communications_consultant_not_synthetic_food_nutitionist
% 3.53/1.86 % No. of inferences in proof: 74
% 3.53/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1330 ms resp. 860 ms w/o parsing
% 3.82/1.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.82/1.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------