%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI548_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:33:20 AM UTC 2026
% Result : Theorem 6.52s 1.99s
% Output : Refutation 6.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 46 ( 6 atm; 16 fun; 19 num; 5 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 : 7 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $int] : $lesseq($difference(-25,$product(X0,-5)),0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',int_combined_problem_12) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $lesseq($difference(-25,$product(X0,-5)),0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $int] : ~ $less(0,$sum(-25,$uminus($product(X0,-5)))),
inference(theory_normalization,[],[f2]) ).
tff(f22,plain,
! [X0: $int] : $less(0,$sum(-25,$uminus($product(X0,-5)))),
inference(ennf_transformation,[],[f3]) ).
tff(f23,plain,
! [X0: $int] : $less(0,$sum(-25,$uminus($product(X0,-5)))),
inference(cnf_transformation,[],[f22]) ).
tff(f25,plain,
$less(0,$sum(-25,$uminus($product(-5,-5)))),
inference(instantiation,[],[f23]) ).
tff(f29,plain,
$false,
inference(evaluation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI548_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 % Computer : n007.cluster.edu
% 0.24/0.28 % Model : x86_64 x86_64
% 0.24/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28 % Memory : 8046.5625MB
% 0.24/0.28 % OS : Linux 6.8.0-71-generic
% 0.24/0.28 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Mon Sep 28 20:49:55 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 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
% 6.52/1.98 % (2804936)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 6.52/1.98 % (2804945)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=201096155:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 6.52/1.98 % (2804945)Instruction limit reached!
% 6.52/1.98 % (2804945)------------------------------
% 6.52/1.98 % (2804945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.98 % (2804945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.98 % (2804945)CaDiCaL version: 2.1.3
% 6.52/1.98 % (2804945)Termination reason: Instruction limit
% 6.52/1.98 % (2804945)Termination phase: Saturation
% 6.52/1.98 % (2804945)Time elapsed: 0.004 s
% 6.52/1.98 % (2804945)Peak memory usage: 88 MB
% 6.52/1.98 % (2804945)Instructions burned: 4 (million)
% 6.52/1.98 % (2804946)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=283394556:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 6.52/1.98 % (2804946)Refutation not found, incomplete strategy
% 6.52/1.98 % (2804946)------------------------------
% 6.52/1.98 % (2804946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (2804946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (2804946)CaDiCaL version: 2.1.3
% 6.52/1.99 % (2804946)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.99 % (2804946)Time elapsed: 0.037 s
% 6.52/1.99 % (2804946)Peak memory usage: 111 MB
% 6.52/1.99 % (2804946)Instructions burned: 5 (million)
% 6.52/1.99 % (2804943)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2464820149:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 6.52/1.99 % (2804942)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4153898746:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 6.52/1.99 % (2804944)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1269465867:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 6.52/1.99 % (2804941)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3563082034:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 6.52/1.99 % (2804944)First to succeed.
% 6.52/1.99 % (2804944)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2804936"
% 6.52/1.99 % (2804947)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1366413654:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 6.52/1.99 % (2804942)Refutation not found, incomplete strategy
% 6.52/1.99 % (2804942)------------------------------
% 6.52/1.99 % (2804942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (2804942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (2804942)CaDiCaL version: 2.1.3
% 6.52/1.99 % (2804942)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.99 % (2804942)Time elapsed: 0.037 s
% 6.52/1.99 % (2804942)Peak memory usage: 111 MB
% 6.52/1.99 % (2804942)Instructions burned: 5 (million)
% 6.52/1.99 % (2804943)Also succeeded, but the first one will report.
% 6.52/1.99 % (2804941)Refutation not found, incomplete strategy
% 6.52/1.99 % (2804941)------------------------------
% 6.52/1.99 % (2804941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (2804941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (2804941)CaDiCaL version: 2.1.3
% 6.52/1.99 % (2804941)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.99 % (2804941)Time elapsed: 0.045 s
% 6.52/1.99 % (2804941)Peak memory usage: 113 MB
% 6.52/1.99 % (2804941)Instructions burned: 12 (million)
% 6.52/1.99 % (2804947)Also succeeded, but the first one will report.
% 6.52/1.99 % (2804950)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3619058918:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.52/1.99 % (2804950)Refutation not found, incomplete strategy
% 6.52/1.99 % (2804950)------------------------------
% 6.52/1.99 % (2804950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (2804950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (2804950)CaDiCaL version: 2.1.3
% 6.52/1.99 % (2804950)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.99 % (2804950)Time elapsed: 0.001 s
% 6.52/1.99 % (2804950)Peak memory usage: 88 MB
% 6.52/1.99 % (2804942)------------------------------
% 6.52/1.99 % (2804942)------------------------------
% 6.52/1.99 % (2804946)------------------------------
% 6.52/1.99 % (2804946)------------------------------
% 6.52/1.99 % (2804941)------------------------------
% 6.52/1.99 % (2804941)------------------------------
% 6.52/1.99 % (2804950)------------------------------
% 6.52/1.99 % (2804950)------------------------------
% 6.52/1.99 % (2804944)Refutation found. Thanks to Tanya!
% 6.52/1.99 % SZS status Theorem for theBenchmark
% 6.52/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 6.52/1.99 % (2804944)------------------------------
% 6.52/1.99 % (2804944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (2804944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (2804944)CaDiCaL version: 2.1.3
% 6.52/1.99 % (2804944)Termination reason: Refutation
% 6.52/1.99 % (2804944)Time elapsed: 0.003 s
% 6.52/1.99 % (2804944)Peak memory usage: 88 MB
% 6.52/1.99 % (2804944)Instructions burned: 1 (million)
% 6.52/1.99 % (2804944)------------------------------
% 6.52/1.99 % (2804944)------------------------------
% 6.52/1.99 % (2804936)Success in time 0.81 s
% 6.52/1.99 % Vampire exiting
%------------------------------------------------------------------------------