%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI258_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 : n010.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 09:32:48 AM UTC 2026
% Result : Theorem 3.26s 1.26s
% Output : Refutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 47 ( 0 atm; 17 fun; 22 num; 8 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; 6 con; 0-2 aty)
% Number of variables : 8 ( 7 !; 1 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(func_def_11,type,
'$inst1': $rat ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
=> ( X0 = 17/4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_sum_problem_13) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(X0,23/4) = 10/1 )
=> ( X0 = 17/4 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(definition,[],[tha_associativity]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f14,plain,
? [X0: $rat] :
( ( 17/4 != X0 )
& ( $sum(X0,23/4) = 10/1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f15,plain,
( ( 17/4 != sK0 )
& ( 10/1 = $sum(sK0,23/4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f14]) ).
tff(f16,plain,
10/1 = $sum(sK0,23/4),
inference(cnf_transformation,[],[f15]) ).
tff(f17,plain,
17/4 != sK0,
inference(cnf_transformation,[],[f15]) ).
tff(f130,plain,
! [X0: $rat] : ( $sum(sK0,$sum(23/4,X0)) = $sum(10/1,X0) ),
inference(superposition,[],[f4,f16]) ).
tff(f180,plain,
$sum(sK0,0/1) = $sum(10/1,$uminus(23/4)),
inference(superposition,[],[f130,f7]) ).
tff(f192,plain,
17/4 = sK0,
inference(evaluation,[],[f180]) ).
tff(f196,plain,
$false,
inference(forward_subsumption_resolution,[],[f192,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI258_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:46:02 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.26/1.26 % (2302500)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.26/1.26 % (2302631)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=648652357:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.26/1.26 % (2302635)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2286574682:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.26/1.26 % (2302638)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=422515010:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.26/1.26 % (2302633)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2748012019:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.26/1.26 % (2302634)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3657845063:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.26/1.26 % (2302629)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=162129408:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.26/1.26 % (2302628)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=535424033:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.26/1.26 % (2302634)Instruction limit reached!
% 3.26/1.26 % (2302634)------------------------------
% 3.26/1.26 % (2302634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.26 % (2302634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.26 % (2302634)CaDiCaL version: 2.1.3
% 3.26/1.26 % (2302634)Termination reason: Instruction limit
% 3.26/1.26 % (2302634)Termination phase: Saturation
% 3.26/1.26 % (2302634)Time elapsed: 0.004 s
% 3.26/1.26 % (2302634)Peak memory usage: 89 MB
% 3.26/1.26 % (2302634)Instructions burned: 5 (million)
% 3.26/1.26 % (2302633)Instruction limit reached!
% 3.26/1.26 % (2302633)------------------------------
% 3.26/1.26 % (2302633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.26 % (2302633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.26 % (2302633)CaDiCaL version: 2.1.3
% 3.26/1.26 % (2302633)Termination reason: Instruction limit
% 3.26/1.26 % (2302633)Termination phase: Saturation
% 3.26/1.26 % (2302633)Time elapsed: 0.005 s
% 3.26/1.26 % (2302633)Peak memory usage: 88 MB
% 3.26/1.26 % (2302633)Instructions burned: 8 (million)
% 3.26/1.26 % (2302631)First to succeed.
% 3.26/1.26 % (2302631)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2302500"
% 3.26/1.26 % (2302628)Also succeeded, but the first one will report.
% 3.26/1.26 % (2302635)Also succeeded, but the first one will report.
% 3.26/1.26 % (2302629)Also succeeded, but the first one will report.
% 3.26/1.26 % (2302638)Also succeeded, but the first one will report.
% 3.26/1.26 % (2302681)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=2851018723:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.26/1.26 % (2302679)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=48403089:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.26/1.26 % (2302679)Refutation not found, incomplete strategy
% 3.26/1.26 % (2302679)------------------------------
% 3.26/1.26 % (2302679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.26 % (2302679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.26 % (2302679)CaDiCaL version: 2.1.3
% 3.26/1.26 % (2302679)Termination reason: Refutation not found, incomplete strategy
% 3.26/1.26 % (2302679)Time elapsed: 0.001 s
% 3.26/1.26 % (2302679)Peak memory usage: 88 MB
% 3.26/1.26 % (2302681)Instruction limit reached!
% 3.26/1.26 % (2302681)------------------------------
% 3.26/1.26 % (2302681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.26 % (2302681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.26 % (2302681)CaDiCaL version: 2.1.3
% 3.26/1.26 % (2302681)Termination reason: Instruction limit
% 3.26/1.26 % (2302681)Termination phase: Saturation
% 3.26/1.26 % (2302681)Time elapsed: 0.016 s
% 3.26/1.26 % (2302681)Peak memory usage: 88 MB
% 3.26/1.26 % (2302681)Instructions burned: 31 (million)
% 3.26/1.26 % (2302631)Refutation found. Thanks to Tanya!
% 3.26/1.26 % SZS status Theorem for theBenchmark
% 3.26/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.26/1.26 % (2302631)------------------------------
% 3.26/1.26 % (2302631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.26 % (2302631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.26 % (2302631)CaDiCaL version: 2.1.3
% 3.26/1.26 % (2302631)Termination reason: Refutation
% 3.26/1.26 % (2302631)Time elapsed: 0.023 s
% 3.26/1.26 % (2302631)Peak memory usage: 116 MB
% 3.26/1.26 % (2302631)Instructions burned: 16 (million)
% 3.26/1.26 % (2302631)------------------------------
% 3.26/1.26 % (2302631)------------------------------
% 3.26/1.26 % (2302500)Success in time 0.371 s
% 3.26/1.26 % Vampire exiting
%------------------------------------------------------------------------------