%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI166_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 : n004.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 09:32:36 AM UTC 2026
% Result : Theorem 2.95s 1.17s
% Output : Refutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 32 ( 6 atm; 5 fun; 18 num; 3 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 : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $int ).
tff(f1,conjecture,
! [X0: $int] :
( ( $sum(2,3) = X0 )
=> $less(4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_2_3_greater_4) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $sum(2,3) = X0 )
=> $less(4,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int] :
( ~ $less(4,X0)
& ( $sum(2,3) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
( ~ $less(4,sK0)
& ( $sum(2,3) = sK0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15]) ).
tff(f17,plain,
$sum(2,3) = sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
~ $less(4,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
5 = sK0,
inference(evaluation,[],[f17]) ).
tff(f20,plain,
~ $less(4,5),
inference(superposition,[],[f18,f19]) ).
tff(f21,plain,
$false,
inference(evaluation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI166_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n004.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 20:43:22 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 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
% 2.95/1.17 % (738845)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.95/1.17 % (738994)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2337369668:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.95/1.17 % (738994)First to succeed.
% 2.95/1.17 % (738994)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-738845"
% 2.95/1.17 % (738996)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3276056020:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.95/1.17 % (738997)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2242677559:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.95/1.17 % (738993)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2063950704:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.95/1.17 % (738995)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2056467438:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.95/1.17 % (738992)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3524113855:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.95/1.17 % (738998)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2243415681:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.95/1.17 % (738996)Also succeeded, but the first one will report.
% 2.95/1.17 % (738995)Also succeeded, but the first one will report.
% 2.95/1.17 % (738993)Also succeeded, but the first one will report.
% 2.95/1.17 % (738997)Also succeeded, but the first one will report.
% 2.95/1.17 % (738992)Also succeeded, but the first one will report.
% 2.95/1.17 % (738998)Also succeeded, but the first one will report.
% 2.95/1.17 % (738994)Refutation found. Thanks to Tanya!
% 2.95/1.17 % SZS status Theorem for theBenchmark
% 2.95/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.95/1.17 % (738994)------------------------------
% 2.95/1.17 % (738994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.17 % (738994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.17 % (738994)CaDiCaL version: 2.1.3
% 2.95/1.17 % (738994)Termination reason: Refutation
% 2.95/1.17 % (738994)Time elapsed: 0.018 s
% 2.95/1.17 % (738994)Peak memory usage: 113 MB
% 2.95/1.17 % (738994)Instructions burned: 5 (million)
% 2.95/1.17 % (738994)------------------------------
% 2.95/1.17 % (738994)------------------------------
% 2.95/1.17 % (738845)Success in time 0.325 s
% 2.95/1.17 % Vampire exiting
%------------------------------------------------------------------------------