%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT048-1 : 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 12:02:13 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.38s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 27 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0)
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_33) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_35) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_36) ).
fof(f17,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5_37) ).
fof(f18,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5_38) ).
fof(f19,negated_conjecture,
~ smaller(capability(sk1,sk3),capability(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5_39) ).
fof(f21,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f38,plain,
! [X0,X1] : stock_of_knowledge(sk1,X0) = stock_of_knowledge(sk1,X1),
inference(resolution,[],[f15,f17]) ).
fof(f43,plain,
( ~ organization(sk1)
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(resolution,[],[f16,f18]) ).
fof(f45,plain,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f43,f17]) ).
fof(f60,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ organization(sk1)
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(resolution,[],[f13,f45]) ).
fof(f62,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f60,f17]) ).
fof(f63,plain,
~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f62,f19]) ).
fof(f74,plain,
! [X0] : ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2)),
inference(superposition,[],[f63,f38]) ).
fof(f83,plain,
$false,
inference(resolution,[],[f74,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT048-1 : 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 17:27:59 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
% 3.49/1.38 % (2272306)Input is clausal, will run a generic CNF schedule.
% 3.49/1.38 % (2272312)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=47352948:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.38 % (2272313)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2041558475:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.38 % (2272317)dis-21_1_sil=8000:lcm=predicate:random_seed=3096343555:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.49/1.38 % (2272314)lrs+10_1_sil=8000:sp=occurrence:random_seed=4143556167:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.38 % (2272311)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=4290094715:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.38 % (2272315)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1748625517:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.38 % (2272314)First to succeed.
% 3.49/1.38 % (2272314)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2272306"
% 3.49/1.38 % (2272316)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2736520850:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.38 % (2272316)Also succeeded, but the first one will report.
% 3.49/1.38 % (2272315)Also succeeded, but the first one will report.
% 3.49/1.38 % (2272317)Instruction limit reached!
% 3.49/1.38 % (2272317)------------------------------
% 3.49/1.38 % (2272317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.38 % (2272317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.38 % (2272317)CaDiCaL version: 2.1.3
% 3.49/1.38 % (2272317)Termination reason: Instruction limit
% 3.49/1.38 % (2272317)Termination phase: Saturation
% 3.49/1.38 % (2272317)Time elapsed: 0.048 s
% 3.49/1.38 % (2272317)Peak memory usage: 88 MB
% 3.49/1.38 % (2272317)Instructions burned: 119 (million)
% 3.49/1.38 % (2272325)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1567000347:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.49/1.38 % (2272325)Also succeeded, but the first one will report.
% 3.49/1.38 % (2272314)Refutation found. Thanks to Tanya!
% 3.49/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.38 % (2272314)------------------------------
% 3.49/1.38 % (2272314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.38 % (2272314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.38 % (2272314)CaDiCaL version: 2.1.3
% 3.49/1.38 % (2272314)Termination reason: Refutation
% 3.49/1.38 % (2272314)Time elapsed: 0.004 s
% 3.49/1.38 % (2272314)Peak memory usage: 88 MB
% 3.49/1.38 % (2272314)Instructions burned: 3 (million)
% 3.49/1.38 % (2272314)------------------------------
% 3.49/1.38 % (2272314)------------------------------
% 3.49/1.38 % (2272306)Success in time 0.438 s
% 3.49/1.38 % Vampire exiting
%------------------------------------------------------------------------------