%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI355_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 : 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 09:32:58 AM UTC 2026
% Result : Theorem 3.55s 1.19s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 36 ( 10 atm; 6 fun; 8 num; 12 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 : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : $less(X0,0/1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_less_problem_11) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $less(X0,0/1),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f7,plain,
! [X0: $real] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f11,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_order_monotonicity]) ).
tff(f14,plain,
! [X0: $real] : ~ $less(X0,0/1),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
! [X0: $real] : ~ $less(X0,0/1),
inference(cnf_transformation,[],[f14]) ).
tff(f47,plain,
! [X0: $real,X1: $real] :
( ~ $less(X0,X1)
| $less($sum(X0,$uminus(X1)),0/1) ),
inference(superposition,[],[f11,f7]) ).
tff(f56,plain,
! [X0: $real,X1: $real] : ~ $less(X0,X1),
inference(forward_subsumption_resolution,[],[f47,f15]) ).
tff(f58,plain,
~ $less(0/1,1/1),
inference(instantiation,[],[f56]) ).
tff(f61,plain,
$false,
inference(evaluation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI355_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:48:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.55/1.19 % (170410)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.55/1.19 % (170467)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2410378646:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.55/1.19 % (170467)Instruction limit reached!
% 3.55/1.19 % (170467)------------------------------
% 3.55/1.19 % (170467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.19 % (170467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.19 % (170467)CaDiCaL version: 2.1.3
% 3.55/1.19 % (170467)Termination reason: Instruction limit
% 3.55/1.19 % (170467)Termination phase: Saturation
% 3.55/1.19 % (170467)Time elapsed: 0.002 s
% 3.55/1.19 % (170467)Peak memory usage: 88 MB
% 3.55/1.19 % (170467)Instructions burned: 5 (million)
% 3.55/1.19 % (170463)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3944954593:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.55/1.19 % (170464)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=439927289:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.55/1.19 % (170465)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1879549965:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.55/1.19 % (170466)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=726371100:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.55/1.19 % (170466)First to succeed.
% 3.55/1.19 % (170466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-170410"
% 3.55/1.19 % (170468)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1440589868:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.55/1.19 % (170469)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1762314823:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.55/1.19 % (170464)Refutation not found, incomplete strategy
% 3.55/1.19 % (170464)------------------------------
% 3.55/1.19 % (170464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.19 % (170464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.19 % (170464)CaDiCaL version: 2.1.3
% 3.55/1.19 % (170464)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.19 % (170464)Time elapsed: 0.027 s
% 3.55/1.19 % (170464)Peak memory usage: 111 MB
% 3.55/1.19 % (170464)Instructions burned: 5 (million)
% 3.55/1.19 % (170465)Also succeeded, but the first one will report.
% 3.55/1.19 % (170463)Instruction limit reached!
% 3.55/1.19 % (170463)------------------------------
% 3.55/1.19 % (170463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.19 % (170463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.19 % (170463)CaDiCaL version: 2.1.3
% 3.55/1.19 % (170463)Termination reason: Instruction limit
% 3.55/1.19 % (170463)Termination phase: Saturation
% 3.55/1.19 % (170463)Time elapsed: 0.030 s
% 3.55/1.19 % (170463)Peak memory usage: 111 MB
% 3.55/1.19 % (170463)Instructions burned: 12 (million)
% 3.55/1.19 % (170468)Refutation not found, incomplete strategy
% 3.55/1.19 % (170468)------------------------------
% 3.55/1.19 % (170468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.19 % (170468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.19 % (170468)CaDiCaL version: 2.1.3
% 3.55/1.19 % (170468)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.19 % (170468)Time elapsed: 0.028 s
% 3.55/1.19 % (170468)Peak memory usage: 111 MB
% 3.55/1.19 % (170468)Instructions burned: 5 (million)
% 3.55/1.19 % (170469)Also succeeded, but the first one will report.
% 3.55/1.19 % (170471)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1920945869:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.55/1.19 % (170471)Refutation not found, incomplete strategy
% 3.55/1.19 % (170471)------------------------------
% 3.55/1.19 % (170471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.19 % (170471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.19 % (170471)CaDiCaL version: 2.1.3
% 3.55/1.19 % (170471)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.19 % (170471)Time elapsed: 0.0000 s
% 3.55/1.19 % (170471)Peak memory usage: 88 MB
% 3.55/1.19 % (170478)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=1793727148:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.55/1.19 % (170478)Refutation not found, incomplete strategy
% 3.55/1.19 % (170478)------------------------------
% 3.55/1.19 % (170478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.19 % (170478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.19 % (170478)CaDiCaL version: 2.1.3
% 3.55/1.19 % (170478)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.19 % (170478)Time elapsed: 0.001 s
% 3.55/1.19 % (170478)Peak memory usage: 88 MB
% 3.55/1.19 % (170471)------------------------------
% 3.55/1.19 % (170471)------------------------------
% 3.55/1.19 % (170466)Refutation found. Thanks to Tanya!
% 3.55/1.19 % SZS status Theorem for theBenchmark
% 3.55/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.19 % (170466)------------------------------
% 3.55/1.19 % (170466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.19 % (170466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.19 % (170466)CaDiCaL version: 2.1.3
% 3.55/1.19 % (170466)Termination reason: Refutation
% 3.55/1.19 % (170466)Time elapsed: 0.003 s
% 3.55/1.19 % (170466)Peak memory usage: 89 MB
% 3.55/1.19 % (170466)Instructions burned: 1 (million)
% 3.55/1.19 % (170466)------------------------------
% 3.55/1.19 % (170466)------------------------------
% 3.55/1.19 % (170410)Success in time 0.426 s
% 3.55/1.19 % Vampire exiting
%------------------------------------------------------------------------------