%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI338_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 : n011.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 09:32:55 AM UTC 2026
% Result : Theorem 4.80s 1.64s
% Output : Refutation 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 38 ( 7 atm; 9 fun; 9 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 : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 9 !; 4 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat,X1: $rat] :
( ( $sum(X0,1/1) = X1 )
& $less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_4) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat,X1: $rat] :
( ( $sum(X0,1/1) = X1 )
& $less(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(definition,[],[tha_right_identity]) ).
tff(f14,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ( $sum(X0,1/1) != X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: $rat,X1: $rat] :
( ~ $less(X0,X1)
| ( $sum(X0,1/1) != X1 ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f16,plain,
! [X0: $rat] : ~ $less(X0,$sum(X0,1/1)),
inference(equality_resolution,[],[f15]) ).
tff(f23,plain,
! [X0: $rat] : ~ $less(X0,$sum(1/1,X0)),
inference(superposition,[],[f16,f3]) ).
tff(f25,plain,
~ $less(0/1,1/1),
inference(superposition,[],[f23,f5]) ).
tff(f29,plain,
$false,
inference(evaluation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI338_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 % Computer : n011.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.26/0.27 % DateTime : Mon Sep 28 20:47:01 UTC 2026
% 0.26/0.27 % CPUTime :
% 0.26/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 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
% 4.80/1.64 % (3758474)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.80/1.64 % (3758491)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2655293068:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.80/1.64 % (3758493)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2673162023:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.80/1.64 % (3758491)Instruction limit reached!
% 4.80/1.64 % (3758491)------------------------------
% 4.80/1.64 % (3758491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64 % (3758491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64 % (3758491)CaDiCaL version: 2.1.3
% 4.80/1.64 % (3758491)Termination reason: Instruction limit
% 4.80/1.64 % (3758491)Termination phase: Saturation
% 4.80/1.64 % (3758491)Time elapsed: 0.003 s
% 4.80/1.64 % (3758491)Peak memory usage: 88 MB
% 4.80/1.64 % (3758491)Instructions burned: 4 (million)
% 4.80/1.64 % (3758493)First to succeed.
% 4.80/1.64 % (3758493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3758474"
% 4.80/1.64 % (3758488)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=53357662:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.80/1.64 % (3758492)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1129067920:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.80/1.64 % (3758487)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1168828123:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.80/1.64 % (3758489)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1215613149:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.80/1.64 % (3758490)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3777139169:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.80/1.64 % (3758490)Also succeeded, but the first one will report.
% 4.80/1.64 % (3758492)Refutation not found, incomplete strategy
% 4.80/1.64 % (3758492)------------------------------
% 4.80/1.64 % (3758492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64 % (3758492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64 % (3758492)CaDiCaL version: 2.1.3
% 4.80/1.64 % (3758492)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.64 % (3758492)Time elapsed: 0.038 s
% 4.80/1.64 % (3758492)Peak memory usage: 111 MB
% 4.80/1.64 % (3758492)Instructions burned: 5 (million)
% 4.80/1.64 % (3758488)Refutation not found, incomplete strategy
% 4.80/1.64 % (3758488)------------------------------
% 4.80/1.64 % (3758488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64 % (3758488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64 % (3758488)CaDiCaL version: 2.1.3
% 4.80/1.64 % (3758488)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.64 % (3758488)Time elapsed: 0.039 s
% 4.80/1.64 % (3758488)Peak memory usage: 111 MB
% 4.80/1.64 % (3758488)Instructions burned: 5 (million)
% 4.80/1.64 % (3758487)Also succeeded, but the first one will report.
% 4.80/1.64 % (3758489)Also succeeded, but the first one will report.
% 4.80/1.64 % (3758496)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2983112713:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.80/1.64 % (3758496)Refutation not found, incomplete strategy
% 4.80/1.64 % (3758496)------------------------------
% 4.80/1.64 % (3758496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64 % (3758496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64 % (3758496)CaDiCaL version: 2.1.3
% 4.80/1.64 % (3758496)Termination reason: Refutation not found, incomplete strategy
% 4.80/1.64 % (3758496)Time elapsed: 0.001 s
% 4.80/1.64 % (3758496)Peak memory usage: 88 MB
% 4.80/1.64 % (3758493)Refutation found. Thanks to Tanya!
% 4.80/1.64 % SZS status Theorem for theBenchmark
% 4.80/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 4.80/1.64 % (3758493)------------------------------
% 4.80/1.64 % (3758493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.80/1.64 % (3758493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.80/1.64 % (3758493)CaDiCaL version: 2.1.3
% 4.80/1.64 % (3758493)Termination reason: Refutation
% 4.80/1.64 % (3758493)Time elapsed: 0.029 s
% 4.80/1.64 % (3758493)Peak memory usage: 113 MB
% 4.80/1.64 % (3758493)Instructions burned: 6 (million)
% 4.80/1.64 % (3758493)------------------------------
% 4.80/1.64 % (3758493)------------------------------
% 4.80/1.64 % (3758474)Success in time 0.566 s
% 4.80/1.64 % Vampire exiting
%------------------------------------------------------------------------------