%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI382_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 09:33:01 AM UTC 2026
% Result : Theorem 2.49s 1.03s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 39 ( 11 atm; 6 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 : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 10 !; 3 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : $greater(0/1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_greater_problem_11) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : $greater(0/1,X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X0: $real] : $less(X0,0/1),
inference(theory_normalization,[],[f2]) ).
tff(f8,plain,
! [X0: $real] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_order_monotonicity]) ).
tff(f15,plain,
! [X0: $real] : ~ $less(X0,0/1),
inference(ennf_transformation,[],[f3]) ).
tff(f16,plain,
! [X0: $real] : ~ $less(X0,0/1),
inference(cnf_transformation,[],[f15]) ).
tff(f48,plain,
! [X0: $real,X1: $real] :
( $less($sum(X0,$uminus(X1)),0/1)
| ~ $less(X0,X1) ),
inference(superposition,[],[f12,f8]) ).
tff(f57,plain,
! [X0: $real,X1: $real] : ~ $less(X0,X1),
inference(forward_subsumption_resolution,[],[f48,f16]) ).
tff(f59,plain,
~ $less(0/1,1/1),
inference(instantiation,[],[f57]) ).
tff(f62,plain,
$false,
inference(evaluation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI382_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % 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 20:48:40 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.49/1.03 % (171236)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.49/1.03 % (171244)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1446592957:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.49/1.03 % (171244)First to succeed.
% 2.49/1.03 % (171244)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-171236"
% 2.49/1.03 % (171242)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1362515025:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.49/1.03 % (171243)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=330589763:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.49/1.03 % (171241)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2129669707:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.49/1.03 % (171247)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3480126322:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.49/1.03 % (171245)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1504417590:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.49/1.03 % (171246)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=392892062:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.49/1.03 % (171245)Instruction limit reached!
% 2.49/1.03 % (171245)------------------------------
% 2.49/1.03 % (171245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.03 % (171245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.03 % (171245)CaDiCaL version: 2.1.3
% 2.49/1.03 % (171245)Termination reason: Instruction limit
% 2.49/1.03 % (171245)Termination phase: Saturation
% 2.49/1.03 % (171245)Time elapsed: 0.003 s
% 2.49/1.03 % (171245)Peak memory usage: 88 MB
% 2.49/1.03 % (171245)Instructions burned: 4 (million)
% 2.49/1.03 % (171242)Refutation not found, incomplete strategy
% 2.49/1.03 % (171242)------------------------------
% 2.49/1.03 % (171242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.03 % (171242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.03 % (171242)CaDiCaL version: 2.1.3
% 2.49/1.03 % (171242)Termination reason: Refutation not found, incomplete strategy
% 2.49/1.03 % (171242)Time elapsed: 0.027 s
% 2.49/1.03 % (171242)Peak memory usage: 111 MB
% 2.49/1.03 % (171242)Instructions burned: 5 (million)
% 2.49/1.03 % (171243)Also succeeded, but the first one will report.
% 2.49/1.03 % (171241)Instruction limit reached!
% 2.49/1.03 % (171241)------------------------------
% 2.49/1.03 % (171241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.03 % (171241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.03 % (171241)CaDiCaL version: 2.1.3
% 2.49/1.03 % (171241)Termination reason: Instruction limit
% 2.49/1.03 % (171241)Termination phase: Saturation
% 2.49/1.03 % (171241)Time elapsed: 0.029 s
% 2.49/1.03 % (171241)Peak memory usage: 111 MB
% 2.49/1.03 % (171241)Instructions burned: 13 (million)
% 2.49/1.03 % (171246)Refutation not found, incomplete strategy
% 2.49/1.03 % (171246)------------------------------
% 2.49/1.03 % (171246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.03 % (171246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.03 % (171246)CaDiCaL version: 2.1.3
% 2.49/1.03 % (171246)Termination reason: Refutation not found, incomplete strategy
% 2.49/1.03 % (171246)Time elapsed: 0.026 s
% 2.49/1.03 % (171246)Peak memory usage: 111 MB
% 2.49/1.03 % (171246)Instructions burned: 5 (million)
% 2.49/1.03 % (171247)Also succeeded, but the first one will report.
% 2.49/1.03 % (171244)Refutation found. Thanks to Tanya!
% 2.49/1.03 % SZS status Theorem for theBenchmark
% 2.49/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/1.03 % (171244)------------------------------
% 2.49/1.03 % (171244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.03 % (171244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.03 % (171244)CaDiCaL version: 2.1.3
% 2.49/1.03 % (171244)Termination reason: Refutation
% 2.49/1.03 % (171244)Time elapsed: 0.001 s
% 2.49/1.03 % (171244)Peak memory usage: 89 MB
% 2.49/1.03 % (171244)Instructions burned: 1 (million)
% 2.49/1.03 % (171244)------------------------------
% 2.49/1.03 % (171244)------------------------------
% 2.49/1.03 % (171236)Success in time 0.272 s
% 2.49/1.03 % Vampire exiting
%------------------------------------------------------------------------------