%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI445_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 : n020.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 09:33:10 AM UTC 2026
% Result : Theorem 3.63s 1.28s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 20 ( 0 atm; 5 fun; 11 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $real] : ( $product(11/2,X0) = 121/4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_product_problem_10) ).
tff(f2,negated_conjecture,
~ ? [X0: $real] : ( $product(11/2,X0) = 121/4 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f20,plain,
! [X0: $real] : ( $product(11/2,X0) != 121/4 ),
inference(ennf_transformation,[],[f2]) ).
tff(f21,plain,
! [X0: $real] : ( $product(11/2,X0) != 121/4 ),
inference(cnf_transformation,[],[f20]) ).
tff(f26,plain,
121/4 != $product(11/2,11/2),
inference(instantiation,[],[f21]) ).
tff(f27,plain,
$false,
inference(evaluation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI445_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n020.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 20:51:04 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.63/1.28 % (534826)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.63/1.28 % (534914)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1551903778:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.63/1.28 % (534917)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3842319275:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.63/1.28 % (534920)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2271696557:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.63/1.28 % (534915)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3095972987:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.63/1.28 % (534917)First to succeed.
% 3.63/1.28 % (534917)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-534826"
% 3.63/1.28 % (534918)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=373713857:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.63/1.28 % (534916)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=860224240:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.63/1.28 % (534918)Instruction limit reached!
% 3.63/1.28 % (534918)------------------------------
% 3.63/1.28 % (534918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.28 % (534918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.28 % (534918)CaDiCaL version: 2.1.3
% 3.63/1.28 % (534918)Termination reason: Instruction limit
% 3.63/1.28 % (534918)Termination phase: Saturation
% 3.63/1.28 % (534918)Time elapsed: 0.004 s
% 3.63/1.28 % (534918)Peak memory usage: 88 MB
% 3.63/1.28 % (534918)Instructions burned: 5 (million)
% 3.63/1.28 % (534919)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4293752655:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.63/1.28 % (534914)Also succeeded, but the first one will report.
% 3.63/1.28 % (534915)Refutation not found, incomplete strategy
% 3.63/1.28 % (534915)------------------------------
% 3.63/1.28 % (534915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.28 % (534915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.28 % (534915)CaDiCaL version: 2.1.3
% 3.63/1.28 % (534915)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.28 % (534915)Time elapsed: 0.028 s
% 3.63/1.28 % (534915)Peak memory usage: 112 MB
% 3.63/1.28 % (534915)Instructions burned: 5 (million)
% 3.63/1.28 % (534916)Also succeeded, but the first one will report.
% 3.63/1.28 % (534920)Instruction limit reached!
% 3.63/1.28 % (534920)------------------------------
% 3.63/1.28 % (534920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.28 % (534920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.28 % (534920)CaDiCaL version: 2.1.3
% 3.63/1.28 % (534920)Termination reason: Instruction limit
% 3.63/1.28 % (534920)Termination phase: Saturation
% 3.63/1.28 % (534920)Time elapsed: 0.044 s
% 3.63/1.28 % (534920)Peak memory usage: 112 MB
% 3.63/1.28 % (534920)Instructions burned: 35 (million)
% 3.63/1.28 % (534919)Refutation not found, incomplete strategy
% 3.63/1.28 % (534919)------------------------------
% 3.63/1.28 % (534919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.28 % (534919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.28 % (534919)CaDiCaL version: 2.1.3
% 3.63/1.28 % (534919)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.28 % (534919)Time elapsed: 0.027 s
% 3.63/1.28 % (534919)Peak memory usage: 112 MB
% 3.63/1.28 % (534919)Instructions burned: 5 (million)
% 3.63/1.28 % (534974)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3076454246:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.63/1.28 % (534974)Refutation not found, incomplete strategy
% 3.63/1.28 % (534974)------------------------------
% 3.63/1.28 % (534974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.28 % (534974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.28 % (534974)CaDiCaL version: 2.1.3
% 3.63/1.28 % (534974)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.28 % (534974)Time elapsed: 0.001 s
% 3.63/1.28 % (534974)Peak memory usage: 88 MB
% 3.63/1.28 % (534976)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=2409120077:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 3.63/1.28 % (534976)Instruction limit reached!
% 3.63/1.28 % (534976)------------------------------
% 3.63/1.28 % (534976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.28 % (534976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.28 % (534976)CaDiCaL version: 2.1.3
% 3.63/1.28 % (534976)Termination reason: Instruction limit
% 3.63/1.28 % (534976)Termination phase: Saturation
% 3.63/1.28 % (534976)Time elapsed: 0.016 s
% 3.63/1.28 % (534976)Peak memory usage: 88 MB
% 3.63/1.28 % (534976)Instructions burned: 31 (million)
% 3.63/1.28 % (534917)Refutation found. Thanks to Tanya!
% 3.63/1.28 % SZS status Theorem for theBenchmark
% 3.63/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.28 % (534917)------------------------------
% 3.63/1.28 % (534917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.28 % (534917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.28 % (534917)CaDiCaL version: 2.1.3
% 3.63/1.28 % (534917)Termination reason: Refutation
% 3.63/1.28 % (534917)Time elapsed: 0.002 s
% 3.63/1.28 % (534917)Peak memory usage: 89 MB
% 3.63/1.28 % (534917)Instructions burned: 1 (million)
% 3.63/1.28 % (534917)------------------------------
% 3.63/1.28 % (534917)------------------------------
% 3.63/1.28 % (534826)Success in time 0.445 s
% 3.63/1.28 % Vampire exiting
%------------------------------------------------------------------------------