%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW600_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:40:30 PM UTC 2026
% Result : Theorem 0.02s 0.19s
% Output : Refutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 22 equ)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 62 ( 22 ~; 0 |; 31 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 153 ( 25 atm; 51 fun; 25 num; 52 var)
% Number of types : 6 ( 4 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 29 usr; 17 con; 0-4 aty)
% Number of variables : 52 ( 30 !; 22 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
abs: $int > $int ).
tff(func_def_14,type,
div: ( $int * $int ) > $int ).
tff(func_def_15,type,
mod: ( $int * $int ) > $int ).
tff(func_def_22,type,
gcd: ( $int * $int ) > $int ).
tff(func_def_23,type,
ref: ty > ty ).
tff(func_def_24,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_25,type,
contents: ( ty * uni ) > uni ).
tff(func_def_27,type,
sK0: ( $int * $int ) > $int ).
tff(func_def_28,type,
sK1: $int > $int ).
tff(func_def_29,type,
sK2: $int > $int ).
tff(func_def_30,type,
sK3: ( $int * $int * $int ) > $int ).
tff(func_def_31,type,
sK4: $int ).
tff(func_def_32,type,
sK5: $int ).
tff(func_def_33,type,
sK6: $int ).
tff(func_def_34,type,
sK7: $int ).
tff(func_def_35,type,
sK8: $int ).
tff(func_def_36,type,
sK9: $int ).
tff(func_def_37,type,
sK10: $int ).
tff(func_def_38,type,
sK11: $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_4,type,
divides: ( $int * $int ) > $o ).
tff(pred_def_5,type,
even: $int > $o ).
tff(pred_def_6,type,
odd: $int > $o ).
tff(f83,conjecture,
! [X0: $int,X1: $int] :
( ( $lesseq(0,X0)
& $lesseq(0,X1) )
=> ! [X2: $int,X3: $int,X4: $int,X5: $int,X6: $int,X7: $int] :
( ( $lesseq(0,X7)
& $lesseq(0,X6)
& ( gcd(X7,X6) = gcd(X0,X1) )
& ( $sum($product(X5,X0),$product(X4,X1)) = X7 )
& ( $sum($product(X3,X0),$product(X2,X1)) = X6 ) )
=> ( ~ $less(0,X6)
=> ? [X8: $int,X9: $int] : ( $sum($product(X8,X0),$product(X9,X1)) = X7 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_gcd) ).
tff(f84,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( $lesseq(0,X0)
& $lesseq(0,X1) )
=> ! [X2: $int,X3: $int,X4: $int,X5: $int,X6: $int,X7: $int] :
( ( $lesseq(0,X7)
& $lesseq(0,X6)
& ( gcd(X7,X6) = gcd(X0,X1) )
& ( $sum($product(X5,X0),$product(X4,X1)) = X7 )
& ( $sum($product(X3,X0),$product(X2,X1)) = X6 ) )
=> ( ~ $less(0,X6)
=> ? [X8: $int,X9: $int] : ( $sum($product(X8,X0),$product(X9,X1)) = X7 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f83]) ).
tff(f106,plain,
~ ! [X0: $int,X1: $int] :
( ( ~ $less(X0,0)
& ~ $less(X1,0) )
=> ! [X2: $int,X3: $int,X4: $int,X5: $int,X6: $int,X7: $int] :
( ( ~ $less(X7,0)
& ~ $less(X6,0)
& ( gcd(X7,X6) = gcd(X0,X1) )
& ( $sum($product(X5,X0),$product(X4,X1)) = X7 )
& ( $sum($product(X3,X0),$product(X2,X1)) = X6 ) )
=> ( ~ $less(0,X6)
=> ? [X8: $int,X9: $int] : ( $sum($product(X8,X0),$product(X9,X1)) = X7 ) ) ) ),
inference(theory_normalization,[],[f84]) ).
tff(f203,plain,
? [X0: $int,X1: $int] :
( ? [X2: $int,X3: $int,X4: $int,X5: $int,X6: $int,X7: $int] :
( ! [X8: $int,X9: $int] : ( $sum($product(X8,X0),$product(X9,X1)) != X7 )
& ~ $less(0,X6)
& ~ $less(X7,0)
& ~ $less(X6,0)
& ( gcd(X7,X6) = gcd(X0,X1) )
& ( $sum($product(X5,X0),$product(X4,X1)) = X7 )
& ( $sum($product(X3,X0),$product(X2,X1)) = X6 ) )
& ~ $less(X0,0)
& ~ $less(X1,0) ),
inference(ennf_transformation,[],[f106]) ).
tff(f204,plain,
? [X0: $int,X1: $int] :
( ? [X2: $int,X3: $int,X4: $int,X5: $int,X6: $int,X7: $int] :
( ! [X8: $int,X9: $int] : ( $sum($product(X8,X0),$product(X9,X1)) != X7 )
& ~ $less(0,X6)
& ~ $less(X7,0)
& ~ $less(X6,0)
& ( gcd(X7,X6) = gcd(X0,X1) )
& ( $sum($product(X5,X0),$product(X4,X1)) = X7 )
& ( $sum($product(X3,X0),$product(X2,X1)) = X6 ) )
& ~ $less(X0,0)
& ~ $less(X1,0) ),
inference(flattening,[],[f203]) ).
tff(f300,plain,
sK11 = $sum($product(sK9,sK4),$product(sK8,sK5)),
inference(cnf_transformation,[],[f204]) ).
tff(f305,plain,
! [X8: $int,X9: $int] : ( sK11 != $sum($product(X8,sK4),$product(X9,sK5)) ),
inference(cnf_transformation,[],[f204]) ).
tff(f332,plain,
$false,
inference(backward_subsumption_resolution,[],[f300,f305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW600_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.02/0.14 % Computer : n012.cluster.edu
% 0.02/0.14 % Model : x86_64 x86_64
% 0.02/0.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.14 % Memory : 8046.5625MB
% 0.02/0.14 % OS : Linux 6.8.0-71-generic
% 0.02/0.14 % CPULimit : 300
% 0.02/0.14 % WCLimit : 300
% 0.02/0.14 % DateTime : Mon Sep 28 14:22:22 UTC 2026
% 0.02/0.14 % CPUTime :
% 0.02/0.14 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.02/0.16 Running first-order model finding
% 0.02/0.16 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
% 0.02/0.19 % (3406610)Will run a generic schedule for satisfiability detection.
% 0.02/0.19 % (3406616)% WARNING: option uhcvi not known.
% 0.02/0.19 % (3406617)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1837901546:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.02/0.19 % (3406615)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3319617439_2999 on theBenchmark for (2999ds/0Mi)
% 0.02/0.19 % (3406621)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=121648466:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.02/0.19 % (3406618)dis+10_1_sil=32000:sp=arity:random_seed=3174764477:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.02/0.19 % (3406616)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2704869764:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.02/0.19 % (3406619)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=596380903:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.02/0.19 % (3406620)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4051155325:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.02/0.19 % (3406615)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.02/0.19 % (3406615)Terminated due to inappropriate strategy.
% 0.02/0.19 % (3406615)------------------------------
% 0.02/0.19 % (3406615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.02/0.19 % (3406615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.02/0.19 % (3406615)CaDiCaL version: 2.1.3
% 0.02/0.19 % (3406615)Termination reason: Inappropriate
% 0.02/0.19 % (3406615)Time elapsed: 0.001 s
% 0.02/0.19 % (3406615)Peak memory usage: 10 MB
% 0.02/0.19 % (3406615)Instructions burned: 5 (million)
% 0.02/0.19 % (3406615)------------------------------
% 0.02/0.19 % (3406615)------------------------------
% 0.02/0.19 % (3406618) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3406610-3406618"...
% 0.02/0.19 % (3406616) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3406610-3406616"...
% 0.02/0.19 % (3406617) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3406610-3406617"...
% 0.02/0.19 % (3406621) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3406610-3406621"...
% 0.02/0.19 % (3406619) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3406610-3406619"...
% 0.02/0.19 % (3406616)...printing done.
% 0.02/0.19 % (3406618)...printing done.
% 0.02/0.19 % (3406617)...printing done.
% 0.02/0.19 % (3406616)Refutation found. Thanks to Tanya!
% 0.02/0.19 % SZS status Theorem for theBenchmark
% 0.02/0.19 % SZS output start Proof for theBenchmark
% See solution above
% 0.02/0.19 % (3406616)------------------------------
% 0.02/0.19 % (3406616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.02/0.19 % (3406616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.02/0.19 % (3406616)CaDiCaL version: 2.1.3
% 0.02/0.19 % (3406616)Termination reason: Refutation
% 0.02/0.19 % (3406616)Time elapsed: 0.002 s
% 0.02/0.19 % (3406616)Peak memory usage: 12 MB
% 0.02/0.19 % (3406616)Instructions burned: 7 (million)
% 0.02/0.19 % (3406610)Success in time 0.03 s
% 0.02/0.19 % Vampire exiting
%------------------------------------------------------------------------------