%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI557_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 : n013.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 09:33:21 AM UTC 2026
% Result : Theorem 4.40s 1.72s
% Output : Refutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 31 ( 5 atm; 5 fun; 17 num; 4 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 : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
'$inst0': $rat ).
tff(f1,conjecture,
? [X0: $rat] :
( ( $product(X0,3/4) = 3/7 )
& $less(1/2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_17) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] :
( ( $product(X0,3/4) = 3/7 )
& $less(1/2,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
! [X0: $rat] :
( ( $product(X0,3/4) != 3/7 )
| ~ $less(1/2,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
! [X0: $rat] :
( ( $product(X0,3/4) != 3/7 )
| ~ $less(1/2,X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f23,plain,
( ( 3/7 != $product(4/7,3/4) )
| ~ $less(1/2,4/7) ),
inference(instantiation,[],[f21]) ).
tff(f24,plain,
$false,
inference(interpreted_simplification,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI557_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n013.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 20:51:36 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running first-order theorem proving
% 0.25/0.31 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
% 4.40/1.72 % (1561156)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.40/1.72 % (1561165)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2324395782:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.40/1.72 % (1561165)First to succeed.
% 4.40/1.72 % (1561165)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1561156"
% 4.40/1.72 % (1561164)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2119267880:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.40/1.72 % (1561167)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2907659623:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.40/1.72 % (1561163)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3143922501:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.40/1.72 % (1561169)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3714501011:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.40/1.72 % (1561166)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=30614371:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.40/1.72 % (1561168)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3830856791:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.40/1.72 % (1561167)Instruction limit reached!
% 4.40/1.72 % (1561167)------------------------------
% 4.40/1.72 % (1561167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.72 % (1561167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.72 % (1561167)CaDiCaL version: 2.1.3
% 4.40/1.72 % (1561167)Termination reason: Instruction limit
% 4.40/1.72 % (1561167)Termination phase: Saturation
% 4.40/1.72 % (1561167)Time elapsed: 0.005 s
% 4.40/1.72 % (1561167)Peak memory usage: 88 MB
% 4.40/1.72 % (1561167)Instructions burned: 4 (million)
% 4.40/1.72 % (1561166)Instruction limit reached!
% 4.40/1.72 % (1561166)------------------------------
% 4.40/1.72 % (1561166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.72 % (1561166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.72 % (1561166)CaDiCaL version: 2.1.3
% 4.40/1.72 % (1561166)Termination reason: Instruction limit
% 4.40/1.72 % (1561166)Termination phase: Saturation
% 4.40/1.72 % (1561166)Time elapsed: 0.009 s
% 4.40/1.72 % (1561166)Peak memory usage: 88 MB
% 4.40/1.72 % (1561166)Instructions burned: 7 (million)
% 4.40/1.72 % (1561164)Refutation not found, incomplete strategy
% 4.40/1.72 % (1561164)------------------------------
% 4.40/1.72 % (1561164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.72 % (1561164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.72 % (1561164)CaDiCaL version: 2.1.3
% 4.40/1.72 % (1561164)Termination reason: Refutation not found, incomplete strategy
% 4.40/1.72 % (1561164)Time elapsed: 0.033 s
% 4.40/1.72 % (1561164)Peak memory usage: 111 MB
% 4.40/1.72 % (1561164)Instructions burned: 5 (million)
% 4.40/1.72 % (1561168)Refutation not found, incomplete strategy
% 4.40/1.72 % (1561168)------------------------------
% 4.40/1.72 % (1561168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.72 % (1561168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.72 % (1561163)Also succeeded, but the first one will report.
% 4.40/1.72 % (1561168)CaDiCaL version: 2.1.3
% 4.40/1.72 % (1561168)Termination reason: Refutation not found, incomplete strategy
% 4.40/1.72 % (1561168)Time elapsed: 0.038 s
% 4.40/1.72 % (1561168)Peak memory usage: 111 MB
% 4.40/1.72 % (1561168)Instructions burned: 5 (million)
% 4.40/1.72 % (1561169)Instruction limit reached!
% 4.40/1.72 % (1561169)------------------------------
% 4.40/1.72 % (1561169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.72 % (1561169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.72 % (1561169)CaDiCaL version: 2.1.3
% 4.40/1.72 % (1561169)Termination reason: Instruction limit
% 4.40/1.72 % (1561169)Termination phase: Saturation
% 4.40/1.72 % (1561169)Time elapsed: 0.063 s
% 4.40/1.72 % (1561169)Peak memory usage: 112 MB
% 4.40/1.72 % (1561169)Instructions burned: 33 (million)
% 4.40/1.72 % (1561179)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=276645921:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.40/1.72 % (1561165)Refutation found. Thanks to Tanya!
% 4.40/1.72 % SZS status Theorem for theBenchmark
% 4.40/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 4.40/1.72 % (1561165)------------------------------
% 4.40/1.72 % (1561165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.72 % (1561165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.72 % (1561165)CaDiCaL version: 2.1.3
% 4.40/1.72 % (1561165)Termination reason: Refutation
% 4.40/1.72 % (1561165)Time elapsed: 0.025 s
% 4.40/1.72 % (1561165)Peak memory usage: 116 MB
% 4.40/1.72 % (1561165)Instructions burned: 7 (million)
% 4.40/1.72 % (1561165)------------------------------
% 4.40/1.72 % (1561165)------------------------------
% 4.40/1.72 % (1561156)Success in time 0.474 s
% 4.40/1.72 % Vampire exiting
%------------------------------------------------------------------------------