%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI085_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 : 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 09:32:30 AM UTC 2026
% Result : Theorem 2.65s 1.06s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 14 ~; 3 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 50 ( 0 atm; 7 fun; 31 num; 12 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 6 !; 6 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: ( $int * $int ) > $o ).
tff(f1,conjecture,
( ( p(3,4)
& ~ p(1,6) )
=> ? [X1: $int,X0: $int] :
( ( $sum(X0,X1) = 7 )
& p(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_X_Y_7_predicate) ).
tff(f2,negated_conjecture,
~ ( ( p(3,4)
& ~ p(1,6) )
=> ? [X1: $int,X0: $int] :
( ( $sum(X0,X1) = 7 )
& p(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
~ ( ( p(3,4)
& ~ p(1,6) )
=> ? [X1: $int,X0: $int] :
( ( 7 = $sum(X1,X0) )
& p(X1,X0) ) ),
inference(rectify,[],[f2]) ).
tff(f16,plain,
( ! [X0: $int,X1: $int] :
( ~ p(X1,X0)
| ( 7 != $sum(X1,X0) ) )
& p(3,4)
& ~ p(1,6) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
( ! [X0: $int,X1: $int] :
( ~ p(X1,X0)
| ( 7 != $sum(X1,X0) ) )
& ~ p(1,6)
& p(3,4) ),
inference(flattening,[],[f16]) ).
tff(f18,plain,
p(3,4),
inference(cnf_transformation,[],[f17]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ~ p(X1,X0)
| ( 7 != $sum(X1,X0) ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f21,plain,
7 != $sum(3,4),
inference(resolution,[],[f20,f18]) ).
tff(f22,plain,
$false,
inference(evaluation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI085_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:41:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.65/1.06 % (1537267)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.65/1.06 % (1537283)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3916552392:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.65/1.06 % (1537283)First to succeed.
% 2.65/1.06 % (1537283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1537267"
% 2.65/1.06 % (1537284)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1731051302:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.65/1.06 % (1537281)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2631883220:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.65/1.06 % (1537280)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1604979064:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.65/1.06 % (1537279)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3163692955:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.65/1.06 % (1537285)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3563725011:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.65/1.06 % (1537282)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3710012890:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.65/1.06 % (1537282)Instruction limit reached!
% 2.65/1.06 % (1537282)------------------------------
% 2.65/1.06 % (1537282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.06 % (1537282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.06 % (1537282)CaDiCaL version: 2.1.3
% 2.65/1.06 % (1537282)Termination reason: Instruction limit
% 2.65/1.06 % (1537282)Termination phase: Saturation
% 2.65/1.06 % (1537282)Time elapsed: 0.005 s
% 2.65/1.06 % (1537282)Peak memory usage: 88 MB
% 2.65/1.06 % (1537282)Instructions burned: 7 (million)
% 2.65/1.06 % (1537284)Refutation not found, incomplete strategy
% 2.65/1.06 % (1537284)------------------------------
% 2.65/1.06 % (1537284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.06 % (1537284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.06 % (1537284)CaDiCaL version: 2.1.3
% 2.65/1.06 % (1537284)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.06 % (1537284)Time elapsed: 0.029 s
% 2.65/1.06 % (1537284)Peak memory usage: 114 MB
% 2.65/1.06 % (1537284)Instructions burned: 6 (million)
% 2.65/1.06 % (1537280)Refutation not found, incomplete strategy
% 2.65/1.06 % (1537280)------------------------------
% 2.65/1.06 % (1537280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.06 % (1537280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.06 % (1537280)CaDiCaL version: 2.1.3
% 2.65/1.06 % (1537280)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.06 % (1537280)Time elapsed: 0.029 s
% 2.65/1.06 % (1537280)Peak memory usage: 114 MB
% 2.65/1.06 % (1537280)Instructions burned: 6 (million)
% 2.65/1.06 % (1537279)Refutation not found, incomplete strategy
% 2.65/1.06 % (1537279)------------------------------
% 2.65/1.06 % (1537279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.06 % (1537279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.06 % (1537279)CaDiCaL version: 2.1.3
% 2.65/1.06 % (1537279)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.06 % (1537279)Time elapsed: 0.032 s
% 2.65/1.06 % (1537279)Peak memory usage: 115 MB
% 2.65/1.06 % (1537279)Instructions burned: 10 (million)
% 2.65/1.06 % (1537285)Instruction limit reached!
% 2.65/1.06 % (1537285)------------------------------
% 2.65/1.06 % (1537285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.06 % (1537285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.06 % (1537285)CaDiCaL version: 2.1.3
% 2.65/1.06 % (1537285)Termination reason: Instruction limit
% 2.65/1.06 % (1537285)Termination phase: Saturation
% 2.65/1.06 % (1537285)Time elapsed: 0.046 s
% 2.65/1.06 % (1537285)Peak memory usage: 114 MB
% 2.65/1.06 % (1537285)Instructions burned: 34 (million)
% 2.65/1.06 % (1537283)Refutation found. Thanks to Tanya!
% 2.65/1.06 % SZS status Theorem for theBenchmark
% 2.65/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.06 % (1537283)------------------------------
% 2.65/1.06 % (1537283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.06 % (1537283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.06 % (1537283)CaDiCaL version: 2.1.3
% 2.65/1.06 % (1537283)Termination reason: Refutation
% 2.65/1.06 % (1537283)Time elapsed: 0.001 s
% 2.65/1.06 % (1537283)Peak memory usage: 89 MB
% 2.65/1.06 % (1537283)------------------------------
% 2.65/1.06 % (1537283)------------------------------
% 2.65/1.06 % (1537267)Success in time 0.296 s
% 2.65/1.07 % Vampire exiting
%------------------------------------------------------------------------------