%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI489_1 : TPTP v9.3.1. Bugfixed v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:33:12 AM UTC 2026
% Result : Theorem 3.77s 1.37s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 3 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 39 ( 8 atm; 8 fun; 10 num; 13 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 : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 7 !; 6 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X1: $real,X0: $real] :
( ( $sum(X0,1/1) = X1 )
& $less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_4) ).
tff(f2,negated_conjecture,
~ ? [X1: $real,X0: $real] :
( ( $sum(X0,1/1) = X1 )
& $less(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f14,plain,
~ ? [X0: $real,X1: $real] :
( ( $sum(X1,1/1) = X0 )
& $less(X1,X0) ),
inference(rectify,[],[f2]) ).
tff(f15,plain,
! [X1: $real,X0: $real] :
( ~ $less(X1,X0)
| ( $sum(X1,1/1) != X0 ) ),
inference(ennf_transformation,[],[f14]) ).
tff(f16,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ( $sum(X0,1/1) != X1 ) ),
inference(rectify,[],[f15]) ).
tff(f17,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| ( $sum(X0,1/1) != X1 ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
! [X0: $real] : ~ $less(X0,$sum(X0,1/1)),
inference(equality_resolution,[],[f17]) ).
tff(f19,plain,
~ $less(1/1,$sum(1/1,1/1)),
inference(instantiation,[],[f18]) ).
tff(f21,plain,
$false,
inference(evaluation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI489_1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 % Computer : n005.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Mon Sep 28 20:50:17 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.30 Running first-order theorem proving
% 0.24/0.30 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.77/1.37 % (1152163)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.77/1.37 % (1152183)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1259199998:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.77/1.37 % (1152183)First to succeed.
% 3.77/1.37 % (1152183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1152163"
% 3.77/1.37 % (1152185)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2656413360:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.77/1.37 % (1152186)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3004935949:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.77/1.37 % (1152184)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2216390090:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.77/1.37 % (1152181)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=692243348:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.77/1.37 % (1152180)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2925841411:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.77/1.37 % (1152182)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1117231139:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.77/1.37 % (1152184)Instruction limit reached!
% 3.77/1.37 % (1152184)------------------------------
% 3.77/1.37 % (1152184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.37 % (1152184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.37 % (1152184)CaDiCaL version: 2.1.3
% 3.77/1.37 % (1152184)Termination reason: Instruction limit
% 3.77/1.37 % (1152184)Termination phase: Saturation
% 3.77/1.37 % (1152184)Time elapsed: 0.006 s
% 3.77/1.37 % (1152184)Peak memory usage: 88 MB
% 3.77/1.37 % (1152184)Instructions burned: 5 (million)
% 3.77/1.37 % (1152185)Refutation not found, incomplete strategy
% 3.77/1.37 % (1152185)------------------------------
% 3.77/1.37 % (1152185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.37 % (1152185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.37 % (1152185)CaDiCaL version: 2.1.3
% 3.77/1.37 % (1152185)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.37 % (1152185)Time elapsed: 0.038 s
% 3.77/1.37 % (1152185)Peak memory usage: 111 MB
% 3.77/1.37 % (1152185)Instructions burned: 5 (million)
% 3.77/1.37 % (1152181)Refutation not found, incomplete strategy
% 3.77/1.37 % (1152181)------------------------------
% 3.77/1.37 % (1152181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.37 % (1152181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.37 % (1152181)CaDiCaL version: 2.1.3
% 3.77/1.37 % (1152181)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.37 % (1152181)Time elapsed: 0.037 s
% 3.77/1.37 % (1152181)Peak memory usage: 111 MB
% 3.77/1.37 % (1152181)Instructions burned: 5 (million)
% 3.77/1.37 % (1152180)Also succeeded, but the first one will report.
% 3.77/1.37 % (1152186)Also succeeded, but the first one will report.
% 3.77/1.37 % (1152182)Also succeeded, but the first one will report.
% 3.77/1.37 % (1152183)Refutation found. Thanks to Tanya!
% 3.77/1.37 % SZS status Theorem for theBenchmark
% 3.77/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.37 % (1152183)------------------------------
% 3.77/1.37 % (1152183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.37 % (1152183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.37 % (1152183)CaDiCaL version: 2.1.3
% 3.77/1.37 % (1152183)Termination reason: Refutation
% 3.77/1.37 % (1152183)Time elapsed: 0.002 s
% 3.77/1.37 % (1152183)Peak memory usage: 88 MB
% 3.77/1.37 % (1152183)Instructions burned: 1 (million)
% 3.77/1.37 % (1152183)------------------------------
% 3.77/1.37 % (1152183)------------------------------
% 3.77/1.37 % (1152163)Success in time 0.434 s
% 3.77/1.37 % Vampire exiting
%------------------------------------------------------------------------------