%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI421_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 : n015.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 09:33:06 AM UTC 2026
% Result : Theorem 2.80s 1.16s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 16 ( 0 atm; 4 fun; 8 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : ( $sum(X0,-7/2) = -13/2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_sum_problem_21) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : ( $sum(X0,-7/2) = -13/2 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f14,plain,
! [X0: $real] : ( $sum(X0,-7/2) != -13/2 ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: $real] : ( $sum(X0,-7/2) != -13/2 ),
inference(cnf_transformation,[],[f14]) ).
tff(f16,plain,
$false,
inference(gaussian_variable_elimination,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI421_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n015.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:53:17 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.80/1.16 % (2999631)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.80/1.16 % (2999636)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=762775767:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.80/1.16 % (2999636)First to succeed.
% 2.80/1.16 % (2999636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2999631"
% 2.80/1.16 % (2999641)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1095720434:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.80/1.16 % (2999638)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3493173250:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.80/1.16 % (2999639)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=173868269:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.80/1.16 % (2999637)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3728006597:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.80/1.16 % (2999640)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4222785124:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.80/1.16 % (2999642)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2335225612:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.80/1.16 % (2999640)Instruction limit reached!
% 2.80/1.16 % (2999640)------------------------------
% 2.80/1.16 % (2999640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.16 % (2999640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.16 % (2999640)CaDiCaL version: 2.1.3
% 2.80/1.16 % (2999640)Termination reason: Instruction limit
% 2.80/1.16 % (2999640)Termination phase: Saturation
% 2.80/1.16 % (2999640)Time elapsed: 0.004 s
% 2.80/1.16 % (2999640)Peak memory usage: 88 MB
% 2.80/1.16 % (2999640)Instructions burned: 6 (million)
% 2.80/1.16 % (2999639)Instruction limit reached!
% 2.80/1.16 % (2999639)------------------------------
% 2.80/1.16 % (2999639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.16 % (2999639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.16 % (2999639)CaDiCaL version: 2.1.3
% 2.80/1.16 % (2999639)Termination reason: Instruction limit
% 2.80/1.16 % (2999639)Termination phase: Saturation
% 2.80/1.16 % (2999639)Time elapsed: 0.006 s
% 2.80/1.16 % (2999639)Peak memory usage: 88 MB
% 2.80/1.16 % (2999639)Instructions burned: 8 (million)
% 2.80/1.16 % (2999637)Refutation not found, incomplete strategy
% 2.80/1.16 % (2999637)------------------------------
% 2.80/1.16 % (2999637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.16 % (2999637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.16 % (2999637)CaDiCaL version: 2.1.3
% 2.80/1.16 % (2999637)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.16 % (2999637)Time elapsed: 0.028 s
% 2.80/1.16 % (2999637)Peak memory usage: 111 MB
% 2.80/1.16 % (2999637)Instructions burned: 5 (million)
% 2.80/1.16 % (2999641)Refutation not found, incomplete strategy
% 2.80/1.16 % (2999641)------------------------------
% 2.80/1.16 % (2999641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.16 % (2999641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.16 % (2999641)CaDiCaL version: 2.1.3
% 2.80/1.16 % (2999641)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.16 % (2999641)Time elapsed: 0.028 s
% 2.80/1.16 % (2999641)Peak memory usage: 111 MB
% 2.80/1.16 % (2999641)Instructions burned: 5 (million)
% 2.80/1.16 % (2999638)Also succeeded, but the first one will report.
% 2.80/1.16 % (2999642)Also succeeded, but the first one will report.
% 2.80/1.16 % (2999636)Refutation found. Thanks to Tanya!
% 2.80/1.16 % SZS status Theorem for theBenchmark
% 2.80/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.80/1.16 % (2999636)------------------------------
% 2.80/1.16 % (2999636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.16 % (2999636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.16 % (2999636)CaDiCaL version: 2.1.3
% 2.80/1.16 % (2999636)Termination reason: Refutation
% 2.80/1.16 % (2999636)Time elapsed: 0.017 s
% 2.80/1.16 % (2999636)Peak memory usage: 112 MB
% 2.80/1.16 % (2999636)Instructions burned: 5 (million)
% 2.80/1.16 % (2999636)------------------------------
% 2.80/1.16 % (2999636)------------------------------
% 2.80/1.16 % (2999631)Success in time 0.303 s
% 2.80/1.16 % Vampire exiting
%------------------------------------------------------------------------------