%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI337_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 : 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 09:32:55 AM UTC 2026
% Result : Theorem 0.20s 1.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 3 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 49 ( 0 atm; 19 fun; 18 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 4 !; 8 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
'$inst0': $rat ).
tff(func_def_7,type,
'$inst1': $rat ).
tff(f1,conjecture,
? [X1: $rat,X0: $rat] :
( ( $sum(X0,X1) = 36/5 )
& ( $difference(X0,X1) = 0/1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_3) ).
tff(f2,negated_conjecture,
~ ? [X1: $rat,X0: $rat] :
( ( $sum(X0,X1) = 36/5 )
& ( $difference(X0,X1) = 0/1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X1: $rat,X0: $rat] :
( ( $sum(X0,X1) = 36/5 )
& ( 0/1 = $sum(X0,$uminus(X1)) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
~ ? [X0: $rat,X1: $rat] :
( ( 0/1 = $sum(X1,$uminus(X0)) )
& ( 36/5 = $sum(X1,X0) ) ),
inference(rectify,[],[f3]) ).
tff(f16,plain,
! [X0: $rat,X1: $rat] :
( ( 36/5 != $sum(X1,X0) )
| ( 0/1 != $sum(X1,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
! [X0: $rat,X1: $rat] :
( ( 0/1 != $sum(X1,$uminus(X0)) )
| ( 36/5 != $sum(X1,X0) ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
( ( 0/1 != $sum(18/5,$uminus(18/5)) )
| ( 36/5 != $sum(18/5,18/5) ) ),
inference(instantiation,[],[f17]) ).
tff(f19,plain,
$false,
inference(interpreted_simplification,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI337_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 20:51:04 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 0.20/1.20 % (3755498)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.20/1.20 % (3755633)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2918588271:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.20/1.20 % (3755633)First to succeed.
% 0.20/1.20 % (3755633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3755498"
% 0.20/1.20 % (3755629)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3668689803:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/1.20 % (3755630)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3629638303:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.20/1.20 % (3755638)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2779976092:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.20/1.20 % (3755637)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3320243011:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.20/1.20 % (3755637)Instruction limit reached!
% 0.20/1.20 % (3755637)------------------------------
% 0.20/1.20 % (3755637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (3755637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (3755637)CaDiCaL version: 2.1.3
% 0.20/1.20 % (3755637)Termination reason: Instruction limit
% 0.20/1.20 % (3755637)Termination phase: Saturation
% 0.20/1.20 % (3755637)Time elapsed: 0.004 s
% 0.20/1.20 % (3755637)Peak memory usage: 88 MB
% 0.20/1.20 % (3755637)Instructions burned: 4 (million)
% 0.20/1.20 % (3755630)Refutation not found, incomplete strategy
% 0.20/1.20 % (3755630)------------------------------
% 0.20/1.20 % (3755630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (3755630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (3755630)CaDiCaL version: 2.1.3
% 0.20/1.20 % (3755630)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.20 % (3755630)Time elapsed: 0.026 s
% 0.20/1.20 % (3755630)Peak memory usage: 111 MB
% 0.20/1.20 % (3755630)Instructions burned: 5 (million)
% 0.20/1.20 % (3755629)Refutation not found, incomplete strategy
% 0.20/1.20 % (3755629)------------------------------
% 0.20/1.20 % (3755629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (3755629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (3755629)CaDiCaL version: 2.1.3
% 0.20/1.20 % (3755629)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.20 % (3755629)Time elapsed: 0.027 s
% 0.20/1.20 % (3755629)Peak memory usage: 112 MB
% 0.20/1.20 % (3755629)Instructions burned: 5 (million)
% 0.20/1.20 % (3755636)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=643051016:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/1.20 % (3755638)Refutation not found, incomplete strategy
% 0.20/1.20 % (3755638)------------------------------
% 0.20/1.20 % (3755638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (3755638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (3755638)CaDiCaL version: 2.1.3
% 0.20/1.20 % (3755638)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.20 % (3755638)Time elapsed: 0.026 s
% 0.20/1.20 % (3755638)Peak memory usage: 111 MB
% 0.20/1.20 % (3755638)Instructions burned: 5 (million)
% 0.20/1.20 % (3755636)Instruction limit reached!
% 0.20/1.20 % (3755636)------------------------------
% 0.20/1.20 % (3755636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (3755636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (3755636)CaDiCaL version: 2.1.3
% 0.20/1.20 % (3755636)Termination reason: Instruction limit
% 0.20/1.20 % (3755636)Termination phase: Saturation
% 0.20/1.20 % (3755636)Time elapsed: 0.005 s
% 0.20/1.20 % (3755636)Peak memory usage: 88 MB
% 0.20/1.20 % (3755636)Instructions burned: 7 (million)
% 0.20/1.20 % (3755639)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=858760808:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.20/1.20 % (3755639)Instruction limit reached!
% 0.20/1.20 % (3755639)------------------------------
% 0.20/1.20 % (3755639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (3755639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (3755639)CaDiCaL version: 2.1.3
% 0.20/1.20 % (3755639)Termination reason: Instruction limit
% 0.20/1.20 % (3755639)Termination phase: Saturation
% 0.20/1.20 % (3755639)Time elapsed: 0.053 s
% 0.20/1.20 % (3755639)Peak memory usage: 112 MB
% 0.20/1.20 % (3755639)Instructions burned: 34 (million)
% 0.20/1.20 % (3755633)Refutation found. Thanks to Tanya!
% 0.20/1.20 % SZS status Theorem for theBenchmark
% 0.20/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.20 % (3755633)------------------------------
% 0.20/1.20 % (3755633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (3755633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (3755633)CaDiCaL version: 2.1.3
% 0.20/1.20 % (3755633)Termination reason: Refutation
% 0.20/1.20 % (3755633)Time elapsed: 0.018 s
% 0.20/1.20 % (3755633)Peak memory usage: 116 MB
% 0.20/1.20 % (3755633)Instructions burned: 7 (million)
% 0.20/1.20 % (3755633)------------------------------
% 0.20/1.20 % (3755633)------------------------------
% 0.20/1.20 % (3755498)Success in time 0.302 s
% 0.20/1.20 % Vampire exiting
%------------------------------------------------------------------------------