%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI627_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:33:31 AM UTC 2026
% Result : Theorem 4.65s 1.61s
% Output : Refutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 3 def)
% Number of atoms : 20 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 2 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 34 ( 0 atm; 7 fun; 23 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_3,type,
sF0: $rat ).
tff(f1,conjecture,
? [X0: $rat] :
( ( X0 = $sum(18446744073709551615/18446744073709551616,18446744073709551615/18446744073709551616) )
& ( X0 != 2/1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] :
( ( X0 = $sum(18446744073709551615/18446744073709551616,18446744073709551615/18446744073709551616) )
& ( X0 != 2/1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $rat] :
( ( 2/1 = X0 )
| ( $sum(18446744073709551615/18446744073709551616,18446744073709551615/18446744073709551616) != X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
! [X0: $rat] :
( ( 2/1 = X0 )
| ( $sum(18446744073709551615/18446744073709551616,18446744073709551615/18446744073709551616) != X0 ) ),
inference(cnf_transformation,[],[f3]) ).
tff(f5,plain,
$sum(18446744073709551615/18446744073709551616,18446744073709551615/18446744073709551616) = 2/1,
inference(equality_resolution,[],[f4]) ).
tff(f6,definition,
sF0 = $sum(18446744073709551615/18446744073709551616,18446744073709551615/18446744073709551616),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f7,plain,
$sum(18446744073709551615/18446744073709551616,18446744073709551615/18446744073709551616) = sF0,
inference(reorient_equations,[],[f6]) ).
tff(f8,plain,
2/1 = sF0,
inference(definition_folding,[],[f5,f7]) ).
tff(f9,plain,
sF0 = 18446744073709551615/9223372036854775808,
inference(evaluation,[],[f7]) ).
tff(f11,definition,
( spl1_1
<=> ( sF0 = 18446744073709551615/9223372036854775808 ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f14,plain,
spl1_1,
inference(avatar_split_clause,[],[f9,f11]) ).
tff(f16,definition,
( spl1_2
<=> ( 2/1 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f19,plain,
spl1_2,
inference(avatar_split_clause,[],[f8,f16]) ).
tff(f20,plain,
$false,
inference(avatar_smt_refutation,[],[f19,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI627_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n005.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 20:54:02 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 Running first-order theorem proving
% 0.11/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.65/1.61 % (1162004)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.65/1.61 % (1162049)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3805661021:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.65/1.61 % (1162057)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3089260275:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.65/1.61 % (1162049)First to succeed.
% 4.65/1.61 % (1162049)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1162004"
% 4.65/1.61 % (1162057)Also succeeded, but the first one will report.
% 4.65/1.61 % (1162048)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2219305530:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.65/1.61 % (1162051)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=623226332:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.65/1.61 % (1162054)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1602500438:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.65/1.61 % (1162054)Also succeeded, but the first one will report.
% 4.65/1.61 % (1162058)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3952131065:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.65/1.61 % (1162048)Also succeeded, but the first one will report.
% 4.65/1.61 % (1162051)Also succeeded, but the first one will report.
% 4.65/1.61 % (1162055)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1149160904:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.65/1.61 % (1162058)Also succeeded, but the first one will report.
% 4.65/1.61 % (1162055)Also succeeded, but the first one will report.
% 4.65/1.61 % (1162049)Refutation found. Thanks to Tanya!
% 4.65/1.61 % SZS status Theorem for theBenchmark
% 4.65/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 4.65/1.61 % (1162049)------------------------------
% 4.65/1.61 % (1162049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.61 % (1162049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.61 % (1162049)CaDiCaL version: 2.1.3
% 4.65/1.61 % (1162049)Termination reason: Refutation
% 4.65/1.61 % (1162049)Time elapsed: 0.030 s
% 4.65/1.61 % (1162049)Peak memory usage: 115 MB
% 4.65/1.61 % (1162049)Instructions burned: 7 (million)
% 4.65/1.61 % (1162049)------------------------------
% 4.65/1.61 % (1162049)------------------------------
% 4.65/1.61 % (1162004)Success in time 0.574 s
% 4.65/1.61 % Vampire exiting
%------------------------------------------------------------------------------