%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI245_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 : n018.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 09:32:46 AM UTC 2026
% Result : Theorem 3.45s 1.06s
% Output : Refutation 3.45s
% 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 : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 10 ( 0 atm; 0 fun; 6 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 : 2 ( 0 usr; 2 con; 0-0 aty)
% Number of variables : 4 ( 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X0: $rat] : ( X0 != 3/4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_not_equal_problem_2) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : ( X0 != 3/4 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $rat] : ( 3/4 = X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
! [X0: $rat] : ( 3/4 = X0 ),
inference(cnf_transformation,[],[f3]) ).
tff(f6,plain,
3/4 = 7/4,
inference(instantiation,[],[f4]) ).
tff(f9,plain,
$false,
inference(evaluation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI245_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:47:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.45/1.06 % (3751064)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.45/1.06 % (3751141)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=855458895:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.45/1.06 % (3751141)Refutation not found, incomplete strategy
% 3.45/1.06 % (3751141)------------------------------
% 3.45/1.06 % (3751141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.06 % (3751141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.06 % (3751141)CaDiCaL version: 2.1.3
% 3.45/1.06 % (3751141)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.06 % (3751141)Time elapsed: 0.016 s
% 3.45/1.06 % (3751141)Peak memory usage: 112 MB
% 3.45/1.06 % (3751141)Instructions burned: 5 (million)
% 3.45/1.06 % (3751136)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2408934339:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.45/1.06 % (3751135)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1863611055:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.45/1.06 % (3751139)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=749142246:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.45/1.06 % (3751138)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1009190390:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.45/1.06 % (3751137)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=216586146:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.45/1.06 % (3751139)Refutation not found, incomplete strategy
% 3.45/1.06 % (3751139)------------------------------
% 3.45/1.06 % (3751139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.06 % (3751139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.06 % (3751139)CaDiCaL version: 2.1.3
% 3.45/1.06 % (3751139)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.06 % (3751139)Time elapsed: 0.001 s
% 3.45/1.06 % (3751139)Peak memory usage: 88 MB
% 3.45/1.06 % (3751138)First to succeed.
% 3.45/1.06 % (3751138)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3751064"
% 3.45/1.06 % (3751140)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=48720782:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.45/1.06 % (3751135)Refutation not found, incomplete strategy
% 3.45/1.06 % (3751135)------------------------------
% 3.45/1.06 % (3751135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.06 % (3751135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.06 % (3751135)CaDiCaL version: 2.1.3
% 3.45/1.06 % (3751135)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.06 % (3751135)Time elapsed: 0.028 s
% 3.45/1.06 % (3751135)Peak memory usage: 112 MB
% 3.45/1.06 % (3751135)Instructions burned: 5 (million)
% 3.45/1.06 % (3751136)Refutation not found, incomplete strategy
% 3.45/1.06 % (3751136)------------------------------
% 3.45/1.06 % (3751136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.06 % (3751136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.06 % (3751136)CaDiCaL version: 2.1.3
% 3.45/1.06 % (3751136)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.06 % (3751136)Time elapsed: 0.028 s
% 3.45/1.06 % (3751136)Peak memory usage: 111 MB
% 3.45/1.06 % (3751136)Instructions burned: 5 (million)
% 3.45/1.06 % (3751137)Refutation not found, incomplete strategy
% 3.45/1.06 % (3751137)------------------------------
% 3.45/1.06 % (3751137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.06 % (3751137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.06 % (3751137)CaDiCaL version: 2.1.3
% 3.45/1.06 % (3751137)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.06 % (3751137)Time elapsed: 0.036 s
% 3.45/1.06 % (3751137)Peak memory usage: 113 MB
% 3.45/1.06 % (3751137)Instructions burned: 5 (million)
% 3.45/1.06 % (3751140)Refutation not found, incomplete strategy
% 3.45/1.06 % (3751140)------------------------------
% 3.45/1.06 % (3751140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.06 % (3751140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.06 % (3751140)CaDiCaL version: 2.1.3
% 3.45/1.06 % (3751140)Termination reason: Refutation not found, incomplete strategy
% 3.45/1.06 % (3751140)Time elapsed: 0.027 s
% 3.45/1.06 % (3751140)Peak memory usage: 112 MB
% 3.45/1.06 % (3751140)Instructions burned: 5 (million)
% 3.45/1.06 % (3751141)------------------------------
% 3.45/1.06 % (3751141)------------------------------
% 3.45/1.06 % (3751139)------------------------------
% 3.45/1.06 % (3751139)------------------------------
% 3.45/1.06 % (3751138)Refutation found. Thanks to Tanya!
% 3.45/1.06 % SZS status Theorem for theBenchmark
% 3.45/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.06 % (3751138)------------------------------
% 3.45/1.06 % (3751138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.06 % (3751138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.06 % (3751138)CaDiCaL version: 2.1.3
% 3.45/1.06 % (3751138)Termination reason: Refutation
% 3.45/1.06 % (3751138)Time elapsed: 0.001 s
% 3.45/1.06 % (3751138)Peak memory usage: 89 MB
% 3.45/1.06 % (3751138)------------------------------
% 3.45/1.06 % (3751138)------------------------------
% 3.45/1.06 % (3751064)Success in time 0.43 s
% 3.45/1.06 % Vampire exiting
%------------------------------------------------------------------------------