%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI162_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 : n009.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 3.73s 1.32s
% Output : Refutation 3.73s
% 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 : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 4 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 56 ( 0 atm; 22 fun; 20 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 5 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] :
( ( $sum(X0,X1) = 8 )
& ( $difference(X0,X1) = 0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_and_difference) ).
tff(f2,negated_conjecture,
~ ? [X1: $int,X0: $int] :
( ( $sum(X0,X1) = 8 )
& ( $difference(X0,X1) = 0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X1: $int,X0: $int] :
( ( $sum(X0,X1) = 8 )
& ( 0 = $sum(X0,$uminus(X1)) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ? [X1: $int,X0: $int] :
( ( 8 = $sum(X1,X0) )
& ( 0 = $sum(X1,$uminus(X0)) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
! [X1: $int,X0: $int] :
( ( 0 != $sum(X1,$uminus(X0)) )
| ( 8 != $sum(X1,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( ( 0 != $sum(X0,$uminus(X1)) )
| ( $sum(X0,X1) != 8 ) ),
inference(rectify,[],[f17]) ).
tff(f19,plain,
! [X0: $int,X1: $int] :
( ( 0 != $sum(X0,$uminus(X1)) )
| ( $sum(X0,X1) != 8 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f20,plain,
( ( 0 != $sum(4,$uminus(4)) )
| ( 8 != $sum(4,4) ) ),
inference(instantiation,[],[f19]) ).
tff(f21,plain,
$false,
inference(interpreted_simplification,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI162_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n009.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 20:43:31 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 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
% 3.73/1.32 % (3437769)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.73/1.32 % (3437845)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2748916320:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 3.73/1.32 % (3437845)Instruction limit reached!
% 3.73/1.32 % (3437845)------------------------------
% 3.73/1.32 % (3437845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437845)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437845)Termination reason: Instruction limit
% 3.73/1.32 % (3437845)Termination phase: Saturation
% 3.73/1.32 % (3437845)Time elapsed: 0.026 s
% 3.73/1.32 % (3437845)Peak memory usage: 112 MB
% 3.73/1.32 % (3437845)Instructions burned: 35 (million)
% 3.73/1.32 % (3437837)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3165627392:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 3.73/1.32 % (3437843)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4274037956:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 3.73/1.32 % (3437834)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=129913138:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 3.73/1.32 % (3437835)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=67857007:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 3.73/1.32 % (3437839)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4072985268:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 3.73/1.32 % (3437841)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2155944893:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 3.73/1.32 % (3437841)Instruction limit reached!
% 3.73/1.32 % (3437841)------------------------------
% 3.73/1.32 % (3437841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437841)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437841)Termination reason: Instruction limit
% 3.73/1.32 % (3437841)Termination phase: Saturation
% 3.73/1.32 % (3437841)Time elapsed: 0.004 s
% 3.73/1.32 % (3437841)Peak memory usage: 88 MB
% 3.73/1.32 % (3437841)Instructions burned: 5 (million)
% 3.73/1.32 % (3437839)Instruction limit reached!
% 3.73/1.32 % (3437839)------------------------------
% 3.73/1.32 % (3437839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437839)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437839)Termination reason: Instruction limit
% 3.73/1.32 % (3437839)Termination phase: Saturation
% 3.73/1.32 % (3437839)Time elapsed: 0.006 s
% 3.73/1.32 % (3437839)Peak memory usage: 88 MB
% 3.73/1.32 % (3437839)Instructions burned: 8 (million)
% 3.73/1.32 % (3437843)Refutation not found, incomplete strategy
% 3.73/1.32 % (3437843)------------------------------
% 3.73/1.32 % (3437843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437843)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437843)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.32 % (3437843)Time elapsed: 0.027 s
% 3.73/1.32 % (3437843)Peak memory usage: 111 MB
% 3.73/1.32 % (3437843)Instructions burned: 5 (million)
% 3.73/1.32 % (3437835)Refutation not found, incomplete strategy
% 3.73/1.32 % (3437835)------------------------------
% 3.73/1.32 % (3437835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437835)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437835)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.32 % (3437835)Time elapsed: 0.027 s
% 3.73/1.32 % (3437835)Peak memory usage: 111 MB
% 3.73/1.32 % (3437835)Instructions burned: 5 (million)
% 3.73/1.32 % (3437834)Refutation not found, incomplete strategy
% 3.73/1.32 % (3437834)------------------------------
% 3.73/1.32 % (3437834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437834)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437834)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.32 % (3437834)Time elapsed: 0.027 s
% 3.73/1.32 % (3437834)Peak memory usage: 112 MB
% 3.73/1.32 % (3437834)Instructions burned: 5 (million)
% 3.73/1.32 % (3437837)First to succeed.
% 3.73/1.32 % (3437837)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3437769"
% 3.73/1.32 % (3437879)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4183801217:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.73/1.32 % (3437879)Refutation not found, incomplete strategy
% 3.73/1.32 % (3437879)------------------------------
% 3.73/1.32 % (3437879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437879)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437879)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.32 % (3437879)Time elapsed: 0.0000 s
% 3.73/1.32 % (3437879)Peak memory usage: 88 MB
% 3.73/1.32 % (3437894)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1008916779:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.73/1.32 % (3437896)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3597659969:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.73/1.32 % (3437894)Instruction limit reached!
% 3.73/1.32 % (3437894)------------------------------
% 3.73/1.32 % (3437894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437894)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437894)Termination reason: Instruction limit
% 3.73/1.32 % (3437894)Termination phase: Saturation
% 3.73/1.32 % (3437894)Time elapsed: 0.016 s
% 3.73/1.32 % (3437894)Peak memory usage: 88 MB
% 3.73/1.32 % (3437894)Instructions burned: 31 (million)
% 3.73/1.32 % (3437896)Also succeeded, but the first one will report.
% 3.73/1.32 % (3437879)------------------------------
% 3.73/1.32 % (3437879)------------------------------
% 3.73/1.32 % (3437834)------------------------------
% 3.73/1.32 % (3437834)------------------------------
% 3.73/1.32 % (3437843)------------------------------
% 3.73/1.32 % (3437843)------------------------------
% 3.73/1.32 % (3437835)------------------------------
% 3.73/1.32 % (3437835)------------------------------
% 3.73/1.32 % (3437837)Refutation found. Thanks to Tanya!
% 3.73/1.32 % SZS status Theorem for theBenchmark
% 3.73/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.32 % (3437837)------------------------------
% 3.73/1.32 % (3437837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.32 % (3437837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.32 % (3437837)CaDiCaL version: 2.1.3
% 3.73/1.32 % (3437837)Termination reason: Refutation
% 3.73/1.32 % (3437837)Time elapsed: 0.029 s
% 3.73/1.32 % (3437837)Peak memory usage: 116 MB
% 3.73/1.32 % (3437837)Instructions burned: 7 (million)
% 3.73/1.32 % (3437837)------------------------------
% 3.73/1.32 % (3437837)------------------------------
% 3.73/1.32 % (3437769)Success in time 0.422 s
% 3.73/1.32 % Vampire exiting
%------------------------------------------------------------------------------