%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU306+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:52:48 PM UTC 2026
% Result : Theorem 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 2 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f40,conjecture,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f82,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f83,plain,
? [X0] :
( cast_as_carrier_subset(X0) != the_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f138,plain,
! [X0] :
( ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f139,plain,
one_sorted_str(sK5),
inference(cnf_transformation,[],[f83]) ).
fof(f140,plain,
cast_as_carrier_subset(sK5) != the_carrier(sK5),
inference(cnf_transformation,[],[f83]) ).
fof(f152,plain,
cast_as_carrier_subset(sK5) = the_carrier(sK5),
inference(resolution,[],[f138,f139]) ).
fof(f154,plain,
$false,
inference(forward_subsumption_resolution,[],[f152,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU306+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Mon Sep 28 04:37:19 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 Running first-order model finding
% 0.07/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.37 % (3019409)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (3019415)% WARNING: option uhcvi not known.
% 0.07/0.37 % (3019414)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4191953603_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (3019417)dis+10_1_sil=32000:sp=arity:random_seed=2934693143:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (3019415)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1382695664:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (3019416)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=784068235:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (3019418)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2380961455:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (3019419)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1495964204:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (3019420)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3320181763:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % TRYING [1]
% 0.07/0.37 % TRYING [2]
% 0.07/0.37 % TRYING [3]
% 0.07/0.37 % (3019415) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3019409-3019415"...
% 0.07/0.37 % (3019417) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3019409-3019417"...
% 0.07/0.37 % TRYING [4]
% 0.07/0.37 % (3019418) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3019409-3019418"...
% 0.07/0.37 % (3019419) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3019409-3019419"...
% 0.07/0.37 % (3019420) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3019409-3019420"...
% 0.07/0.37 % TRYING [5]
% 0.07/0.37 % (3019415)...printing done.
% 0.07/0.37 % (3019417)...printing done.
% 0.07/0.37 % (3019418)...printing done.
% 0.07/0.37 % (3019419)...printing done.
% 0.07/0.37 % (3019420)...printing done.
% 0.07/0.37 % (3019416) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3019409-3019416"...
% 0.07/0.37 % (3019418)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Theorem for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (3019418)------------------------------
% 0.07/0.37 % (3019418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (3019418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (3019418)CaDiCaL version: 2.1.3
% 0.07/0.37 % (3019418)Termination reason: Refutation
% 0.07/0.37 % (3019418)Time elapsed: 0.001 s
% 0.07/0.37 % (3019418)Peak memory usage: 12 MB
% 0.07/0.37 % (3019418)Instructions burned: 2 (million)
% 0.07/0.37 % (3019409)Success in time 0.031 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------