%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU132+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:52:01 PM UTC 2026
% Result : Theorem 0.03s 0.44s
% Output : Refutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 53 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 25 ~; 18 |; 2 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f3,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ~ subset(set_difference(X0,X2),set_difference(X1,X2))
& subset(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f27,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| ~ in(X3,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
~ subset(set_difference(sK4,sK6),set_difference(sK5,sK6)),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X3,X0,X1] :
( in(X3,set_difference(X0,X1))
| ~ in(X3,X0)
| in(X3,X1) ),
inference(equality_resolution,[],[f33]) ).
fof(f46,plain,
! [X3,X0,X1] :
( ~ in(X3,set_difference(X0,X1))
| in(X3,X0) ),
inference(equality_resolution,[],[f32]) ).
fof(f47,plain,
! [X3,X0,X1] :
( ~ in(X3,set_difference(X0,X1))
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f31]) ).
fof(f60,plain,
in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),set_difference(sK4,sK6)),
inference(resolution,[],[f26,f39]) ).
fof(f61,plain,
~ in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),set_difference(sK5,sK6)),
inference(resolution,[],[f27,f39]) ).
fof(f64,plain,
in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),sK4),
inference(resolution,[],[f46,f60]) ).
fof(f69,plain,
~ in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),sK6),
inference(resolution,[],[f47,f60]) ).
fof(f72,plain,
! [X0] :
( in(X0,sK5)
| ~ in(X0,sK4) ),
inference(resolution,[],[f25,f38]) ).
fof(f132,plain,
( ~ in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),sK5)
| in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),sK6) ),
inference(resolution,[],[f61,f45]) ).
fof(f133,plain,
~ in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),sK5),
inference(forward_subsumption_resolution,[],[f132,f69]) ).
fof(f134,plain,
~ in(sK0(set_difference(sK4,sK6),set_difference(sK5,sK6)),sK4),
inference(resolution,[],[f133,f72]) ).
fof(f135,plain,
$false,
inference(forward_subsumption_resolution,[],[f134,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU132+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Mon Sep 28 03:39:55 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.39 Running first-order model finding
% 0.03/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.44 % (3554962)Will run a generic schedule for satisfiability detection.
% 0.03/0.44 % (3554969)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1062072304:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.03/0.44 % (3554968)% WARNING: option uhcvi not known.
% 0.03/0.44 % (3554967)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1137362135_2999 on theBenchmark for (2999ds/0Mi)
% 0.03/0.44 % (3554970)dis+10_1_sil=32000:sp=arity:random_seed=1560875564:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.03/0.44 % (3554971)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3340025773:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.03/0.44 % (3554968)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=814439717:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.03/0.44 % (3554972)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2853328768:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.03/0.44 % (3554973)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=552235657:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.03/0.44 % TRYING [1]
% 0.03/0.44 % TRYING [2]
% 0.03/0.44 % TRYING [3]
% 0.03/0.44 % (3554971) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3554962-3554971"...
% 0.03/0.44 % TRYING [4]
% 0.03/0.44 % (3554971)...printing done.
% 0.03/0.44 % (3554971)Refutation found. Thanks to Tanya!
% 0.03/0.44 % SZS status Theorem for theBenchmark
% 0.03/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.03/0.44 % (3554971)------------------------------
% 0.03/0.44 % (3554971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.03/0.44 % (3554971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.03/0.44 % (3554971)CaDiCaL version: 2.1.3
% 0.03/0.44 % (3554971)Termination reason: Refutation
% 0.03/0.44 % (3554971)Time elapsed: 0.005 s
% 0.03/0.44 % (3554971)Peak memory usage: 12 MB
% 0.03/0.44 % (3554971)Instructions burned: 6 (million)
% 0.03/0.44 % (3554962)Success in time 0.045 s
% 0.03/0.44 % Vampire exiting
%------------------------------------------------------------------------------