%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI271_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:32:50 AM UTC 2026
% Result : Theorem 3.47s 1.26s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 30 ( 0 atm; 9 fun; 13 num; 8 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : ( $sum(X0,-12/119) = 0/1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_26) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : ( $sum(X0,-12/119) = 0/1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f14,plain,
! [X0: $rat] : ( $sum(X0,-12/119) != 0/1 ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: $rat] : ( $sum(X0,-12/119) != 0/1 ),
inference(cnf_transformation,[],[f14]) ).
tff(f32,plain,
! [X0: $rat] : ( 0/1 != $sum(-12/119,X0) ),
inference(superposition,[],[f15,f3]) ).
tff(f71,plain,
0/1 != 0/1,
inference(superposition,[],[f32,f7]) ).
tff(f77,plain,
$false,
inference(trivial_inequality_removal,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI271_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n001.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 20:51:49 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 3.47/1.26 % (719058)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.47/1.26 % (719184)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=339110107:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.47/1.26 % (719184)Instruction limit reached!
% 3.47/1.26 % (719184)------------------------------
% 3.47/1.26 % (719184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (719184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (719184)CaDiCaL version: 2.1.3
% 3.47/1.26 % (719184)Termination reason: Instruction limit
% 3.47/1.26 % (719184)Termination phase: Saturation
% 3.47/1.26 % (719184)Time elapsed: 0.002 s
% 3.47/1.26 % (719184)Peak memory usage: 88 MB
% 3.47/1.26 % (719184)Instructions burned: 5 (million)
% 3.47/1.26 % (719182)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1163400106:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.47/1.26 % (719186)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1694048281:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.47/1.26 % (719180)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1300406249:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.47/1.26 % (719181)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2969560596:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.47/1.26 % (719185)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1282095694:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.47/1.26 % (719183)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=215773512:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.47/1.26 % (719183)First to succeed.
% 3.47/1.26 % (719183)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-719058"
% 3.47/1.26 % (719182)Also succeeded, but the first one will report.
% 3.47/1.26 % (719180)Also succeeded, but the first one will report.
% 3.47/1.26 % (719186)Also succeeded, but the first one will report.
% 3.47/1.26 % (719181)Refutation not found, incomplete strategy
% 3.47/1.26 % (719181)------------------------------
% 3.47/1.26 % (719181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (719181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (719181)CaDiCaL version: 2.1.3
% 3.47/1.26 % (719181)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.26 % (719181)Time elapsed: 0.027 s
% 3.47/1.26 % (719181)Peak memory usage: 112 MB
% 3.47/1.26 % (719181)Instructions burned: 5 (million)
% 3.47/1.26 % (719185)Refutation not found, incomplete strategy
% 3.47/1.26 % (719185)------------------------------
% 3.47/1.26 % (719185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (719185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (719185)CaDiCaL version: 2.1.3
% 3.47/1.26 % (719185)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.26 % (719185)Time elapsed: 0.027 s
% 3.47/1.26 % (719185)Peak memory usage: 112 MB
% 3.47/1.26 % (719185)Instructions burned: 5 (million)
% 3.47/1.26 % (719188)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1238244165:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 3.47/1.26 % (719188)Refutation not found, incomplete strategy
% 3.47/1.26 % (719188)------------------------------
% 3.47/1.26 % (719188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (719188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (719188)CaDiCaL version: 2.1.3
% 3.47/1.26 % (719188)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.26 % (719188)Time elapsed: 0.0000 s
% 3.47/1.26 % (719188)Peak memory usage: 88 MB
% 3.47/1.26 % (719188)------------------------------
% 3.47/1.26 % (719188)------------------------------
% 3.47/1.26 % (719183)Refutation found. Thanks to Tanya!
% 3.47/1.26 % SZS status Theorem for theBenchmark
% 3.47/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.26 % (719183)------------------------------
% 3.47/1.26 % (719183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.26 % (719183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.26 % (719183)CaDiCaL version: 2.1.3
% 3.47/1.26 % (719183)Termination reason: Refutation
% 3.47/1.26 % (719183)Time elapsed: 0.003 s
% 3.47/1.26 % (719183)Peak memory usage: 89 MB
% 3.47/1.26 % (719183)Instructions burned: 3 (million)
% 3.47/1.26 % (719183)------------------------------
% 3.47/1.26 % (719183)------------------------------
% 3.47/1.26 % (719058)Success in time 0.4 s
% 3.47/1.26 % Vampire exiting
%------------------------------------------------------------------------------