%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS003-1 : 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 : n020.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 11:42:04 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 30 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 32 !; 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] :
( s2least(X0)
| ~ c(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f5,axiom,
! [X0] :
( ~ s2least(X0)
| ~ equalish(u1r2(X0),u1r1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0] :
( s(X0,u1r1(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
! [X0] :
( s(X0,u1r2(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,axiom,
! [X2,X0,X1] :
( s2least(X0)
| equalish(X1,X2)
| ~ s(X0,X1)
| ~ s(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,axiom,
! [X0] :
( s1most(X0)
| ~ d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f11,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ s1most(X2)
| ~ s(X2,X0)
| ~ s(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,axiom,
! [X0] :
( s1most(X0)
| ~ equalish(u3r2(X0),u3r1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f13,axiom,
! [X0] :
( s1most(X0)
| s(X0,u3r1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f14,axiom,
! [X0] :
( s1most(X0)
| s(X0,u3r2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,axiom,
! [X0] :
( c(X0)
| ~ e(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,axiom,
! [X0] :
( d(X0)
| ~ f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,plain,
~ e(exist),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f18,plain,
~ f(exist),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f19,plain,
! [X0] :
( ~ s2least(X0)
| c(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f20,plain,
! [X0] :
( s2least(X0)
| equalish(u1r2(X0),u1r1(X0)) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f21,plain,
! [X0] :
( s(X0,u1r1(X0))
| s2least(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f22,plain,
! [X0] :
( s(X0,u1r2(X0))
| s2least(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ s2least(X0)
| ~ equalish(X1,X2)
| ~ s(X0,X1)
| ~ s(X0,X2) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f24,plain,
! [X0] :
( ~ s1most(X0)
| ~ d(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| s1most(X2)
| ~ s(X2,X0)
| ~ s(X2,X1) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f26,plain,
! [X0] :
( ~ s1most(X0)
| equalish(u3r2(X0),u3r1(X0)) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f27,plain,
! [X0] :
( ~ s1most(X0)
| s(X0,u3r1(X0)) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f28,plain,
! [X0] :
( ~ s1most(X0)
| s(X0,u3r2(X0)) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f29,plain,
! [X0] :
( ~ c(X0)
| e(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f30,plain,
! [X0] :
( d(X0)
| f(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f39,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS003-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 % Computer : n020.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 13:16:04 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.16/0.47 % (3375665)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3375670)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1487314997_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % (3375670) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3375665-3375670"...
% 0.16/0.47 % (3375670)...printing done.
% 0.16/0.47 % (3375670)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3375670)------------------------------
% 0.16/0.47 % (3375670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3375670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3375670)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3375670)Termination reason: Refutation
% 0.16/0.47 % (3375670)Time elapsed: 0.001 s
% 0.16/0.47 % (3375670)Peak memory usage: 11 MB
% 0.16/0.47 % (3375670)Instructions burned: 2 (million)
% 0.16/0.47 % (3375665)Success in time 0.027 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------