TSTP Solution File: MGT057+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %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 : 300s
% DateTime : Wed Aug 31 17:51:13 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 15 unt; 0 def)
% Number of atoms : 213 ( 34 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 228 ( 73 ~; 60 |; 76 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 77 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(subsumption_resolution,[],[f133,f107]) ).
fof(f107,plain,
greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
inference(resolution,[],[f76,f69]) ).
fof(f69,plain,
~ has_immunity(sK0,sK1),
inference(subsumption_resolution,[],[f65,f42]) ).
fof(f42,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( organization(sK0)
& zero = age(sK0,sK3)
& has_endowment(sK0)
& ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK3)
| ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) )
& greater(eta,zero)
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK1),eta) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f28,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2,X3] :
( organization(X0)
& age(X0,X3) = zero
& has_endowment(X0)
& ( hazard_of_mortality(X0,X3) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) )
& greater(eta,zero)
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X1),eta) )
=> ( organization(sK0)
& zero = age(sK0,sK3)
& has_endowment(sK0)
& ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK3)
| ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) )
& greater(eta,zero)
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK1),eta) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2,X3] :
( organization(X0)
& age(X0,X3) = zero
& has_endowment(X0)
& ( hazard_of_mortality(X0,X3) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) )
& greater(eta,zero)
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X1),eta) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
? [X3,X1,X2,X0] :
( organization(X3)
& zero = age(X3,X0)
& has_endowment(X3)
& ( hazard_of_mortality(X3,X0) != hazard_of_mortality(X3,X2)
| ~ greater(hazard_of_mortality(X3,X1),hazard_of_mortality(X3,X2)) )
& greater(eta,zero)
& smaller_or_equal(age(X3,X2),eta)
& greater(age(X3,X1),eta) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
? [X1,X3,X0,X2] :
( ( hazard_of_mortality(X3,X0) != hazard_of_mortality(X3,X2)
| ~ greater(hazard_of_mortality(X3,X1),hazard_of_mortality(X3,X2)) )
& has_endowment(X3)
& smaller_or_equal(age(X3,X2),eta)
& greater(eta,zero)
& organization(X3)
& greater(age(X3,X1),eta)
& zero = age(X3,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X3,X0,X2] :
( ( has_endowment(X3)
& smaller_or_equal(age(X3,X2),eta)
& greater(eta,zero)
& organization(X3)
& greater(age(X3,X1),eta)
& zero = age(X3,X0) )
=> ( hazard_of_mortality(X3,X0) = hazard_of_mortality(X3,X2)
& greater(hazard_of_mortality(X3,X1),hazard_of_mortality(X3,X2)) ) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X4,X6,X5,X0] :
( ( greater(eta,zero)
& greater(age(X0,X6),eta)
& has_endowment(X0)
& age(X0,X4) = zero
& smaller_or_equal(age(X0,X5),eta)
& organization(X0) )
=> ( greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5) ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X4,X6,X5,X0] :
( ( greater(eta,zero)
& greater(age(X0,X6),eta)
& has_endowment(X0)
& age(X0,X4) = zero
& smaller_or_equal(age(X0,X5),eta)
& organization(X0) )
=> ( greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_6) ).
fof(f65,plain,
( ~ has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f38,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ~ has_endowment(X0)
| ! [X1] :
( ( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) )
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,plain,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X3] :
( ( smaller_or_equal(age(X0,X3),eta)
=> has_immunity(X0,X3) )
& organization(X0)
& ( greater(age(X0,X3),eta)
=> ~ has_immunity(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f38,plain,
greater(age(sK0,sK1),eta),
inference(cnf_transformation,[],[f30]) ).
fof(f76,plain,
! [X1] :
( has_immunity(sK0,X1)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,sK2)) ),
inference(subsumption_resolution,[],[f75,f44]) ).
fof(f44,plain,
organization(sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f75,plain,
! [X1] :
( has_immunity(sK0,X1)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,sK2))
| ~ organization(sK0) ),
inference(resolution,[],[f73,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ has_immunity(X1,X2)
| has_immunity(X1,X0)
| greater(hazard_of_mortality(X1,X0),hazard_of_mortality(X1,X2))
| ~ organization(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( has_immunity(X1,X0)
| greater(hazard_of_mortality(X1,X0),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( has_immunity(X0,X1)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| ~ has_immunity(X0,X2) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ( has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3,X4] :
( ( has_immunity(X0,X4)
& organization(X0)
& ~ has_immunity(X0,X3) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(f73,plain,
has_immunity(sK0,sK2),
inference(subsumption_resolution,[],[f71,f42]) ).
fof(f71,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f39,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f39,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f30]) ).
fof(f133,plain,
~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
inference(trivial_inequality_removal,[],[f132]) ).
fof(f132,plain,
( ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK2) ),
inference(backward_demodulation,[],[f41,f118]) ).
fof(f118,plain,
hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK3),
inference(resolution,[],[f77,f91]) ).
fof(f91,plain,
has_immunity(sK0,sK3),
inference(subsumption_resolution,[],[f80,f64]) ).
fof(f64,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f61,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) )
& ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) )
& ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1) )
<=> smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f61,plain,
smaller(zero,eta),
inference(resolution,[],[f40,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( greater(X0,X1)
| ~ smaller(X1,X0) )
& ( smaller(X1,X0)
| ~ greater(X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( greater(X1,X0)
| ~ smaller(X0,X1) )
& ( smaller(X0,X1)
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( greater(X1,X0)
<=> smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f40,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f30]) ).
fof(f80,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK3) ),
inference(subsumption_resolution,[],[f78,f42]) ).
fof(f78,plain,
( ~ has_endowment(sK0)
| has_immunity(sK0,sK3)
| ~ smaller_or_equal(zero,eta) ),
inference(superposition,[],[f50,f43]) ).
fof(f43,plain,
zero = age(sK0,sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f77,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(subsumption_resolution,[],[f74,f44]) ).
fof(f74,plain,
! [X0] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f73,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ has_immunity(X1,X2)
| hazard_of_mortality(X1,X0) = hazard_of_mortality(X1,X2)
| ~ has_immunity(X1,X0)
| ~ organization(X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ has_immunity(X1,X2)
| hazard_of_mortality(X1,X0) = hazard_of_mortality(X1,X2)
| ~ has_immunity(X1,X0)
| ~ organization(X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] :
( hazard_of_mortality(X1,X0) = hazard_of_mortality(X1,X2)
| ~ organization(X1)
| ~ has_immunity(X1,X0)
| ~ has_immunity(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0,X2] :
( ( organization(X1)
& has_immunity(X1,X0)
& has_immunity(X1,X2) )
=> hazard_of_mortality(X1,X0) = hazard_of_mortality(X1,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X0,X3] :
( ( organization(X0)
& has_immunity(X0,X3)
& has_immunity(X0,X4) )
=> hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(f41,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK3)
| ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 03:22:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.49 % (24114)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.49 % (24106)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.50 % (24123)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.17/0.50 % (24115)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51 % (24122)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.17/0.51 % (24123)First to succeed.
% 0.17/0.51 % (24107)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.51 % (24114)Instruction limit reached!
% 0.17/0.51 % (24114)------------------------------
% 0.17/0.51 % (24114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (24114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (24114)Termination reason: Unknown
% 0.17/0.51 % (24114)Termination phase: Saturation
% 0.17/0.51
% 0.17/0.51 % (24114)Memory used [KB]: 5884
% 0.17/0.51 % (24114)Time elapsed: 0.122 s
% 0.17/0.51 % (24114)Instructions burned: 3 (million)
% 0.17/0.51 % (24114)------------------------------
% 0.17/0.51 % (24114)------------------------------
% 0.17/0.51 % (24122)Also succeeded, but the first one will report.
% 0.17/0.51 % (24123)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (24123)------------------------------
% 0.17/0.51 % (24123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (24123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (24123)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (24123)Memory used [KB]: 1535
% 0.17/0.51 % (24123)Time elapsed: 0.070 s
% 0.17/0.51 % (24123)Instructions burned: 6 (million)
% 0.17/0.51 % (24123)------------------------------
% 0.17/0.51 % (24123)------------------------------
% 0.17/0.51 % (24099)Success in time 0.182 s
%------------------------------------------------------------------------------