%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT044+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:02:12 PM UTC 2026
% Result : Theorem 3.61s 1.48s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 97 ( 16 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 112 ( 47 ~; 36 |; 19 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f7,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& internal_friction(X0,X2) = internal_friction(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7) ).
fof(f9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> internal_friction(X0,X2) = internal_friction(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1 )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f13,plain,
? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f14,plain,
? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& organization(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f17]) ).
fof(f22,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1,X2] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f24,plain,
( ~ greater(capability(sK0,sK2),capability(sK0,sK1))
& organization(sK0)
& greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f14]) ).
fof(f26,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f27,plain,
organization(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f28,plain,
~ greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f31,plain,
! [X2,X0,X1] :
( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X2,X0,X1] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X2,X0,X1] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f35]) ).
fof(f108,plain,
( ~ greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f31,f28]) ).
fof(f119,plain,
( ~ greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f108,f27]) ).
fof(f126,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| ~ organization(sK0)
| ~ greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(resolution,[],[f119,f32]) ).
fof(f130,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| ~ greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f126,f27]) ).
fof(f131,plain,
~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f130,f26]) ).
fof(f136,plain,
! [X0] :
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,X0))
| ~ organization(sK0) ),
inference(superposition,[],[f131,f37]) ).
fof(f137,plain,
! [X0] : ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,X0)),
inference(forward_subsumption_resolution,[],[f136,f27]) ).
fof(f156,plain,
$false,
inference(resolution,[],[f137,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT044+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:26:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.61/1.47 % (2271465)Detected formulas, will run a generic FOF schedule.
% 3.61/1.47 % (2271471)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=38242097:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.61/1.47 % (2271470)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1318028945:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.61/1.47 % (2271472)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1918345956:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.61/1.47 % (2271474)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2787440814:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.61/1.47 % (2271473)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2738137229:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.61/1.48 % (2271476)dis-21_1_sil=8000:lcm=predicate:random_seed=3928490844:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.61/1.48 % (2271475)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3833933961:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.61/1.48 % (2271473)Refutation not found, incomplete strategy
% 3.61/1.48 % (2271473)------------------------------
% 3.61/1.48 % (2271473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.48 % (2271473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.48 % (2271473)CaDiCaL version: 2.1.3
% 3.61/1.48 % (2271473)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.48 % (2271473)Time elapsed: 0.001 s
% 3.61/1.48 % (2271473)Peak memory usage: 88 MB
% 3.61/1.48 % (2271474)First to succeed.
% 3.61/1.48 % (2271475)Also succeeded, but the first one will report.
% 3.61/1.48 % (2271474)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2271465"
% 3.61/1.48 % (2271476)Instruction limit reached!
% 3.61/1.48 % (2271476)------------------------------
% 3.61/1.48 % (2271476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.48 % (2271476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.48 % (2271476)CaDiCaL version: 2.1.3
% 3.61/1.48 % (2271476)Termination reason: Instruction limit
% 3.61/1.48 % (2271476)Termination phase: Saturation
% 3.61/1.48 % (2271476)Time elapsed: 0.048 s
% 3.61/1.48 % (2271476)Peak memory usage: 88 MB
% 3.61/1.48 % (2271476)Instructions burned: 130 (million)
% 3.61/1.48 % (2271484)lrs+10_1_sil=8000:sp=occurrence:random_seed=408456954:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.61/1.48 % (2271484)Also succeeded, but the first one will report.
% 3.61/1.48 % (2271473)------------------------------
% 3.61/1.48 % (2271473)------------------------------
% 3.61/1.48 % (2271474)Refutation found. Thanks to Tanya!
% 3.61/1.48 % SZS status Theorem for theBenchmark
% 3.61/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.48 % (2271474)------------------------------
% 3.61/1.48 % (2271474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.48 % (2271474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.48 % (2271474)CaDiCaL version: 2.1.3
% 3.61/1.48 % (2271474)Termination reason: Refutation
% 3.61/1.48 % (2271474)Time elapsed: 0.005 s
% 3.61/1.48 % (2271474)Peak memory usage: 88 MB
% 3.61/1.48 % (2271474)Instructions burned: 5 (million)
% 3.61/1.48 % (2271474)------------------------------
% 3.61/1.48 % (2271474)------------------------------
% 3.61/1.48 % (2271465)Success in time 0.43 s
% 3.61/1.48 % Vampire exiting
%------------------------------------------------------------------------------