%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS013-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 11:42:05 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.48s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 35 ( 4 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 101 ( 44 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
~ f(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0] :
( ~ c(X0)
| t2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f5,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0] :
( t(X0,u1r1(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
! [X0] :
( t(X0,u1r2(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f9,axiom,
! [X0] :
( ~ d(X0)
| t1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ t(X2,X1)
| ~ t1most(X2)
| ~ t(X2,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f15,axiom,
! [X0,X1] :
( ~ r(X1,X0)
| ~ e(X1)
| d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,axiom,
! [X0,X1] :
( ~ r(X1,X0)
| ~ e(X1)
| c(X0)
| ~ s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ s(X0,X2)
| equalish(X1,X2)
| ~ s(X0,X1)
| s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
fof(f28,axiom,
! [X0] :
( ~ s1most(u6r1(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
fof(f29,axiom,
! [X0] :
( r(X0,u6r1(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
fof(f31,axiom,
! [X0] :
( ~ equalish(u7r2(X0),u7r1(X0))
| s1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
fof(f32,axiom,
! [X0] :
( s(X0,u7r1(X0))
| s1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f33,axiom,
! [X0] :
( s(X0,u7r2(X0))
| s1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
fof(f34,plain,
! [X0] :
( d(u6r1(X0))
| ~ e(X0)
| f(X0) ),
inference(resolution,[],[f15,f29]) ).
fof(f36,plain,
! [X0] :
( t1most(u6r1(X0))
| f(X0)
| ~ e(X0) ),
inference(resolution,[],[f34,f9]) ).
fof(f38,plain,
! [X0] :
( ~ s2least(u6r1(X0))
| c(u6r1(X0))
| ~ e(X0)
| f(X0) ),
inference(resolution,[],[f16,f29]) ).
fof(f56,plain,
! [X0,X1] :
( equalish(X1,u1r1(X0))
| ~ t(X0,X1)
| ~ t1most(X0)
| ~ t2least(X0) ),
inference(resolution,[],[f11,f6]) ).
fof(f62,plain,
! [X0,X1] :
( equalish(X0,u7r1(X1))
| ~ s(X1,X0)
| s2least(X1)
| s1most(X1) ),
inference(resolution,[],[f26,f32]) ).
fof(f75,plain,
! [X0] :
( ~ t(X0,u1r2(X0))
| ~ t1most(X0)
| ~ t2least(X0)
| ~ t2least(X0) ),
inference(resolution,[],[f56,f5]) ).
fof(f76,plain,
! [X0] :
( ~ t(X0,u1r2(X0))
| ~ t1most(X0)
| ~ t2least(X0) ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ t1most(X0)
| ~ t2least(X0) ),
inference(forward_subsumption_resolution,[],[f76,f7]) ).
fof(f78,plain,
! [X0] :
( ~ t2least(u6r1(X0))
| f(X0)
| ~ e(X0) ),
inference(resolution,[],[f77,f36]) ).
fof(f84,plain,
! [X0] :
( ~ s(X0,u7r2(X0))
| s2least(X0)
| s1most(X0)
| s1most(X0) ),
inference(resolution,[],[f62,f31]) ).
fof(f85,plain,
! [X0] :
( ~ s(X0,u7r2(X0))
| s2least(X0)
| s1most(X0) ),
inference(duplicate_literal_removal,[],[f84]) ).
fof(f86,plain,
! [X0] :
( s1most(X0)
| s2least(X0) ),
inference(forward_subsumption_resolution,[],[f85,f33]) ).
fof(f87,plain,
! [X0] :
( s2least(u6r1(X0))
| f(X0) ),
inference(resolution,[],[f86,f28]) ).
fof(f88,plain,
! [X0] :
( f(X0)
| c(u6r1(X0))
| ~ e(X0)
| f(X0) ),
inference(resolution,[],[f87,f38]) ).
fof(f89,plain,
! [X0] :
( c(u6r1(X0))
| f(X0)
| ~ e(X0) ),
inference(duplicate_literal_removal,[],[f88]) ).
fof(f96,plain,
! [X0] :
( f(X0)
| ~ e(X0)
| t2least(u6r1(X0)) ),
inference(resolution,[],[f89,f3]) ).
fof(f97,plain,
! [X0] :
( ~ e(X0)
| f(X0) ),
inference(forward_subsumption_resolution,[],[f96,f78]) ).
fof(f98,plain,
f(exist),
inference(resolution,[],[f97,f1]) ).
fof(f99,plain,
$false,
inference(forward_subsumption_resolution,[],[f98,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS013-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:14:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.13/0.48 % (1410008)Will run a generic schedule for satisfiability detection.
% 0.13/0.48 % (1410017)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2536332345:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.48 % (1410014)% WARNING: option uhcvi not known.
% 0.13/0.48 % (1410013)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2208323974_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.48 % (1410014)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4276478859:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.48 % (1410019)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2898678471:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.48 % (1410015)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3953943797:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.48 % (1410016)dis+10_1_sil=32000:sp=arity:random_seed=2368697525:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.48 % TRYING [1]
% 0.13/0.48 % TRYING [2]
% 0.13/0.48 % (1410018)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=224824206:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.48 % TRYING [3]
% 0.13/0.48 % (1410019) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1410008-1410019"...
% 0.13/0.48 % (1410016) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1410008-1410016"...
% 0.13/0.48 % (1410014) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1410008-1410014"...
% 0.13/0.48 % TRYING [4]
% 0.13/0.48 % (1410016)...printing done.
% 0.13/0.48 % (1410019)...printing done.
% 0.13/0.48 % (1410014)...printing done.
% 0.13/0.48 % (1410018) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1410008-1410018"...
% 0.13/0.48 % (1410016)Refutation found. Thanks to Tanya!
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.48 % (1410016)------------------------------
% 0.13/0.48 % (1410016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.48 % (1410016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.48 % (1410016)CaDiCaL version: 2.1.3
% 0.13/0.48 % (1410016)Termination reason: Refutation
% 0.13/0.48 % (1410016)Time elapsed: 0.004 s
% 0.13/0.48 % (1410016)Peak memory usage: 11 MB
% 0.13/0.48 % (1410016)Instructions burned: 3 (million)
% 0.13/0.48 % (1410008)Success in time 0.044 s
% 0.13/0.48 % Vampire exiting
%------------------------------------------------------------------------------