%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM877_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 : n015.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 12:17:21 PM UTC 2026
% Result : Theorem 3.08s 1.44s
% Output : Refutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number arithmetic : 49 ( 0 atm; 26 fun; 9 num; 14 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 : 6 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( $difference(X0,X1) = 0 )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_identity) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( $difference(X0,X1) = 0 )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int] :
( ( 0 = $sum(X0,$uminus(X1)) )
=> ( X0 = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(definition,[],[tha_associativity]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ( 0 = $sum(X0,$uminus(X1)) )
& ( X0 != X1 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f17,plain,
( ( 0 = $sum(sK0,$uminus(sK1)) )
& ( sK0 != sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
tff(f18,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
0 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f17]) ).
tff(f95,plain,
! [X0: $int] : ( $sum(sK0,$sum($uminus(sK1),X0)) = $sum(0,X0) ),
inference(superposition,[],[f5,f19]) ).
tff(f131,plain,
! [X0: $int] : ( $sum(sK0,$sum($uminus(sK1),X0)) = X0 ),
inference(evaluation,[],[f95]) ).
tff(f147,plain,
$sum(sK0,0) = $uminus($uminus(sK1)),
inference(superposition,[],[f131,f8]) ).
tff(f159,plain,
sK0 = sK1,
inference(evaluation,[],[f147]) ).
tff(f162,plain,
$false,
inference(forward_subsumption_resolution,[],[f159,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM877_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.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 21:40:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.08/1.44 % (2028159)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.08/1.44 % (2028176)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2884946982:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.08/1.44 % (2028176)First to succeed.
% 3.08/1.44 % (2028176)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2028159"
% 3.08/1.44 % (2028173)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=256026833:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.08/1.44 % (2028174)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1705926446:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.08/1.44 % (2028175)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2250484713:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.08/1.44 % (2028177)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=772247486:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.08/1.44 % (2028177)Instruction limit reached!
% 3.08/1.44 % (2028177)------------------------------
% 3.08/1.44 % (2028177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.44 % (2028177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.44 % (2028177)CaDiCaL version: 2.1.3
% 3.08/1.44 % (2028177)Termination reason: Instruction limit
% 3.08/1.44 % (2028177)Termination phase: Saturation
% 3.08/1.44 % (2028177)Time elapsed: 0.006 s
% 3.08/1.44 % (2028177)Peak memory usage: 89 MB
% 3.08/1.44 % (2028177)Instructions burned: 4 (million)
% 3.08/1.44 % (2028181)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=146600549:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.08/1.44 % (2028178)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3005428222:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.08/1.44 % (2028173)Also succeeded, but the first one will report.
% 3.08/1.44 % (2028174)Also succeeded, but the first one will report.
% 3.08/1.44 % (2028175)Also succeeded, but the first one will report.
% 3.08/1.44 % (2028178)Also succeeded, but the first one will report.
% 3.08/1.44 % (2028181)Also succeeded, but the first one will report.
% 3.08/1.44 % (2028176)Refutation found. Thanks to Tanya!
% 3.08/1.44 % SZS status Theorem for theBenchmark
% 3.08/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.08/1.44 % (2028176)------------------------------
% 3.08/1.44 % (2028176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.44 % (2028176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.44 % (2028176)CaDiCaL version: 2.1.3
% 3.08/1.44 % (2028176)Termination reason: Refutation
% 3.08/1.44 % (2028176)Time elapsed: 0.004 s
% 3.08/1.44 % (2028176)Peak memory usage: 89 MB
% 3.08/1.44 % (2028176)Instructions burned: 5 (million)
% 3.08/1.44 % (2028176)------------------------------
% 3.08/1.44 % (2028176)------------------------------
% 3.08/1.44 % (2028159)Success in time 0.359 s
% 3.08/1.44 % Vampire exiting
%------------------------------------------------------------------------------