%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM914_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 : n016.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 12:17:25 PM UTC 2026
% Result : Theorem 3.51s 1.46s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 39 ( 12 ~; 11 |; 11 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 90 ( 0 atm; 57 fun; 6 num; 27 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 : 5 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 15 !; 12 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
? [X1: $real,X2: $real,X0: $real] :
( ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) )
<=> ( $sum(X0,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_combined_problem_2) ).
tff(f2,negated_conjecture,
~ ? [X1: $real,X2: $real,X0: $real] :
( ( ( $difference(X2,X0) = X1 )
& ( $difference(X2,X1) = X0 ) )
<=> ( $sum(X0,X1) = X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ? [X1: $real,X2: $real,X0: $real] :
( ( ( $sum(X2,$uminus(X0)) = X1 )
& ( $sum(X2,$uminus(X1)) = X0 ) )
<=> ( $sum(X0,X1) = X2 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f15,plain,
~ ? [X1: $real,X2: $real,X0: $real] :
( ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) )
<=> ( $sum(X2,X0) = X1 ) ),
inference(rectify,[],[f3]) ).
tff(f16,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) )
<~> ( $sum(X2,X0) = X1 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X2,X0) != X1 )
| ( $sum(X1,$uminus(X2)) != X0 )
| ( $sum(X1,$uminus(X0)) != X2 ) )
& ( ( $sum(X2,X0) = X1 )
| ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) ) ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f18,plain,
! [X2: $real,X1: $real,X0: $real] :
( ( ( $sum(X2,X0) != X1 )
| ( $sum(X1,$uminus(X2)) != X0 )
| ( $sum(X1,$uminus(X0)) != X2 ) )
& ( ( $sum(X2,X0) = X1 )
| ( ( $sum(X1,$uminus(X2)) = X0 )
& ( $sum(X1,$uminus(X0)) = X2 ) ) ) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
! [X0: $real,X1: $real,X2: $real] :
( ( ( $sum(X0,X2) != X1 )
| ( $sum(X1,$uminus(X0)) != X2 )
| ( $sum(X1,$uminus(X2)) != X0 ) )
& ( ( $sum(X0,X2) = X1 )
| ( ( $sum(X1,$uminus(X0)) = X2 )
& ( $sum(X1,$uminus(X2)) = X0 ) ) ) ),
inference(rectify,[],[f18]) ).
tff(f20,plain,
! [X2: $real,X0: $real,X1: $real] :
( ( $sum(X1,$uminus(X2)) = X0 )
| ( $sum(X0,X2) = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f31,plain,
( ( 0/1 = $sum(1/1,1/1) )
| ( $sum(0/1,$uminus(1/1)) = 1/1 ) ),
inference(instantiation,[],[f20]) ).
tff(f33,plain,
$false,
inference(evaluation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM914_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:44:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.51/1.46 % (3016977)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.51/1.46 % (3016986)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1998581760:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.51/1.46 % (3016986)Instruction limit reached!
% 3.51/1.46 % (3016986)------------------------------
% 3.51/1.46 % (3016986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3016986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3016986)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3016986)Termination reason: Instruction limit
% 3.51/1.46 % (3016986)Termination phase: Saturation
% 3.51/1.46 % (3016986)Time elapsed: 0.002 s
% 3.51/1.46 % (3016986)Peak memory usage: 88 MB
% 3.51/1.46 % (3016986)Instructions burned: 5 (million)
% 3.51/1.46 % (3016988)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4271505054:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.51/1.46 % (3016982)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=468397129:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.51/1.46 % (3016985)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=198344659:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.51/1.46 % (3016983)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=77254838:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.51/1.46 % (3016984)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2803807458:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.51/1.46 % (3016985)First to succeed.
% 3.51/1.46 % (3016985)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3016977"
% 3.51/1.46 % (3016987)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3301222667:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.51/1.46 % (3016988)Also succeeded, but the first one will report.
% 3.51/1.46 % (3016982)Refutation not found, incomplete strategy
% 3.51/1.46 % (3016982)------------------------------
% 3.51/1.46 % (3016982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3016982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3016982)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3016982)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.46 % (3016982)Time elapsed: 0.027 s
% 3.51/1.46 % (3016982)Peak memory usage: 112 MB
% 3.51/1.46 % (3016982)Instructions burned: 6 (million)
% 3.51/1.46 % (3016984)Also succeeded, but the first one will report.
% 3.51/1.46 % (3016987)Instruction limit reached!
% 3.51/1.46 % (3016987)------------------------------
% 3.51/1.46 % (3016987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3016987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3016987)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3016987)Termination reason: Instruction limit
% 3.51/1.46 % (3016987)Termination phase: Saturation
% 3.51/1.46 % (3016987)Time elapsed: 0.047 s
% 3.51/1.46 % (3016987)Peak memory usage: 112 MB
% 3.51/1.46 % (3016987)Instructions burned: 48 (million)
% 3.51/1.46 % (3016990)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3908727686:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.51/1.46 % (3016990)Instruction limit reached!
% 3.51/1.46 % (3016990)------------------------------
% 3.51/1.46 % (3016990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3016990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3016990)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3016990)Termination reason: Instruction limit
% 3.51/1.46 % (3016990)Termination phase: Saturation
% 3.51/1.46 % (3016990)Time elapsed: 0.005 s
% 3.51/1.46 % (3016990)Peak memory usage: 88 MB
% 3.51/1.46 % (3016990)Instructions burned: 17 (million)
% 3.51/1.46 % (3016999)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2562907795:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.51/1.46 % (3016999)Also succeeded, but the first one will report.
% 3.51/1.46 % (3016983)Instruction limit reached!
% 3.51/1.46 % (3016983)------------------------------
% 3.51/1.46 % (3016983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3016983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3016983)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3016983)Termination reason: Instruction limit
% 3.51/1.46 % (3016983)Termination phase: Saturation
% 3.51/1.46 % (3016983)Time elapsed: 0.181 s
% 3.51/1.46 % (3016983)Peak memory usage: 115 MB
% 3.51/1.46 % (3016983)Instructions burned: 308 (million)
% 3.51/1.46 % (3016998)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=783198940:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 3.51/1.46 % (3016998)Instruction limit reached!
% 3.51/1.46 % (3016998)------------------------------
% 3.51/1.46 % (3016998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3016998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3016998)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3016998)Termination reason: Instruction limit
% 3.51/1.46 % (3016998)Termination phase: Saturation
% 3.51/1.46 % (3016998)Time elapsed: 0.019 s
% 3.51/1.46 % (3016998)Peak memory usage: 88 MB
% 3.51/1.46 % (3016998)Instructions burned: 30 (million)
% 3.51/1.46 % (3016985)Refutation found. Thanks to Tanya!
% 3.51/1.46 % SZS status Theorem for theBenchmark
% 3.51/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.46 % (3016985)------------------------------
% 3.51/1.46 % (3016985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (3016985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (3016985)CaDiCaL version: 2.1.3
% 3.51/1.46 % (3016985)Termination reason: Refutation
% 3.51/1.46 % (3016985)Time elapsed: 0.002 s
% 3.51/1.46 % (3016985)Peak memory usage: 89 MB
% 3.51/1.46 % (3016985)Instructions burned: 1 (million)
% 3.51/1.46 % (3016985)------------------------------
% 3.51/1.46 % (3016985)------------------------------
% 3.51/1.46 % (3016977)Success in time 0.417 s
% 3.51/1.46 % Vampire exiting
%------------------------------------------------------------------------------