%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI577_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:33:24 AM UTC 2026
% Result : Theorem 3.35s 1.26s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 8 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 83 ( 24 atm; 16 fun; 29 num; 14 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 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 6 !; 8 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
'$inst0': $int ).
tff(func_def_7,type,
'$inst1': $int ).
tff(f1,conjecture,
? [X1: $int,X0: $int] :
( $lesseq(4,X1)
& $lesseq($sum(X1,1),X0)
& $lesseq($sum(X0,X1),10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ineq_sys_solvable_2) ).
tff(f2,negated_conjecture,
~ ? [X1: $int,X0: $int] :
( $lesseq(4,X1)
& $lesseq($sum(X1,1),X0)
& $lesseq($sum(X0,X1),10) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X1: $int,X0: $int] :
( ~ $less(X1,4)
& ~ $less(X0,$sum(X1,1))
& ~ $less(10,$sum(X0,X1)) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ? [X0: $int,X1: $int] :
( ~ $less(X0,4)
& ~ $less(10,$sum(X1,X0))
& ~ $less(X1,$sum(X0,1)) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
! [X1: $int,X0: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,4)
| $less(10,$sum(X1,X0)) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| $less(X1,4)
| $less(10,$sum(X0,X1)) ),
inference(rectify,[],[f17]) ).
tff(f19,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| $less(10,$sum(X0,X1))
| $less(X1,4) ),
inference(cnf_transformation,[],[f18]) ).
tff(f20,plain,
( $less(5,$sum(4,1))
| $less(10,$sum(5,4))
| $less(4,4) ),
inference(instantiation,[],[f19]) ).
tff(f21,plain,
$false,
inference(interpreted_simplification,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI577_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:52:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.35/1.26 % (182717)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.35/1.26 % (182823)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3473672327:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.35/1.26 % (182823)First to succeed.
% 3.35/1.26 % (182823)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-182717"
% 3.35/1.26 % (182824)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=811191125:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.35/1.26 % (182825)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3552682863:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.35/1.26 % (182822)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1223983032:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.35/1.26 % (182824)Also succeeded, but the first one will report.
% 3.35/1.26 % (182820)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3205092506:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.35/1.26 % (182825)Instruction limit reached!
% 3.35/1.26 % (182825)------------------------------
% 3.35/1.26 % (182825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.26 % (182825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.26 % (182825)CaDiCaL version: 2.1.3
% 3.35/1.26 % (182825)Termination reason: Instruction limit
% 3.35/1.26 % (182825)Termination phase: Saturation
% 3.35/1.26 % (182825)Time elapsed: 0.004 s
% 3.35/1.26 % (182825)Peak memory usage: 88 MB
% 3.35/1.26 % (182825)Instructions burned: 5 (million)
% 3.35/1.26 % (182826)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3847324497:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.35/1.26 % (182827)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=31047223:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.35/1.26 % (182822)Refutation not found, incomplete strategy
% 3.35/1.26 % (182822)------------------------------
% 3.35/1.26 % (182822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.26 % (182822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.26 % (182822)CaDiCaL version: 2.1.3
% 3.35/1.26 % (182822)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.26 % (182822)Time elapsed: 0.027 s
% 3.35/1.26 % (182822)Peak memory usage: 111 MB
% 3.35/1.26 % (182822)Instructions burned: 5 (million)
% 3.35/1.26 % (182820)Refutation not found, incomplete strategy
% 3.35/1.26 % (182820)------------------------------
% 3.35/1.26 % (182820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.26 % (182820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.26 % (182820)CaDiCaL version: 2.1.3
% 3.35/1.26 % (182820)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.26 % (182820)Time elapsed: 0.036 s
% 3.35/1.26 % (182820)Peak memory usage: 113 MB
% 3.35/1.26 % (182820)Instructions burned: 10 (million)
% 3.35/1.26 % (182826)Refutation not found, incomplete strategy
% 3.35/1.26 % (182826)------------------------------
% 3.35/1.26 % (182826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.26 % (182826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.26 % (182826)CaDiCaL version: 2.1.3
% 3.35/1.26 % (182826)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.26 % (182826)Time elapsed: 0.034 s
% 3.35/1.26 % (182826)Peak memory usage: 111 MB
% 3.35/1.26 % (182826)Instructions burned: 5 (million)
% 3.35/1.26 % (182827)Instruction limit reached!
% 3.35/1.26 % (182827)------------------------------
% 3.35/1.26 % (182827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.26 % (182827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.26 % (182827)CaDiCaL version: 2.1.3
% 3.35/1.26 % (182827)Termination reason: Instruction limit
% 3.35/1.26 % (182827)Termination phase: Saturation
% 3.35/1.26 % (182827)Time elapsed: 0.062 s
% 3.35/1.26 % (182827)Peak memory usage: 112 MB
% 3.35/1.26 % (182827)Instructions burned: 33 (million)
% 3.35/1.26 % (182823)Refutation found. Thanks to Tanya!
% 3.35/1.26 % SZS status Theorem for theBenchmark
% 3.35/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.35/1.26 % (182823)------------------------------
% 3.35/1.26 % (182823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.26 % (182823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.26 % (182823)CaDiCaL version: 2.1.3
% 3.35/1.26 % (182823)Termination reason: Refutation
% 3.35/1.26 % (182823)Time elapsed: 0.019 s
% 3.35/1.26 % (182823)Peak memory usage: 116 MB
% 3.35/1.26 % (182823)Instructions burned: 7 (million)
% 3.35/1.26 % (182823)------------------------------
% 3.35/1.26 % (182823)------------------------------
% 3.35/1.26 % (182717)Success in time 0.394 s
% 3.35/1.26 % Vampire exiting
%------------------------------------------------------------------------------