%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX105_1 : TPTP v9.3.1. Released v9.1.0.
% 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 01:45:53 PM UTC 2026
% Result : Theorem 0.18s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 7 unt; 0 typ; 1 def)
% Number of atoms : 9 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 27 ( 0 atm; 24 fun; 0 num; 3 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 !; 1 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_4,type,
n_i: $int ).
tff(func_def_10,type,
sK0: $int ).
tff(func_def_11,type,
sK1: general > symbol ).
tff(func_def_12,type,
sK2: general > $int ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
p: general > $o ).
tff(f17,conjecture,
! [X0: $int] : ( $product(X0,X0) = $product($uminus(X0),$uminus(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1_unnamed_formula) ).
tff(f18,negated_conjecture,
~ ! [X0: $int] : ( $product(X0,X0) = $product($uminus(X0),$uminus(X0)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
tff(f29,plain,
? [X0: $int] : ( $product(X0,X0) != $product($uminus(X0),$uminus(X0)) ),
inference(ennf_transformation,[],[f18]) ).
tff(f39,plain,
$product(sK0,sK0) != $product($uminus(sK0),$uminus(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f29]) ).
tff(f50,plain,
$product(sK0,sK0) != $product($uminus(sK0),$uminus(sK0)),
inference(cnf_transformation,[],[f39]) ).
tff(f69,definition,
( spl3_1
<=> ( $product(sK0,sK0) = $product($uminus(sK0),$uminus(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f72,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f50,f69]) ).
tff(f73,plain,
$false,
inference(avatar_smt_refutation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX105_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n018.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 15:03:55 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 0.18/1.31 % (3465774)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 0.18/1.31 % (3465782)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3419182550:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.18/1.31 % (3465782)Instruction limit reached!
% 0.18/1.31 % (3465782)------------------------------
% 0.18/1.31 % (3465782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3465782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3465782)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3465782)Termination reason: Instruction limit
% 0.18/1.31 % (3465782)Termination phase: Saturation
% 0.18/1.31 % (3465782)Time elapsed: 0.004 s
% 0.18/1.31 % (3465782)Peak memory usage: 88 MB
% 0.18/1.31 % (3465782)Instructions burned: 10 (million)
% 0.18/1.31 % (3465785)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3290360800:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 0.18/1.31 % (3465783)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2747881436:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 0.18/1.31 % (3465784)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3643356475:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 0.18/1.31 % (3465779)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=787632320:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 0.18/1.31 % (3465780)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3510962156:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 0.18/1.31 % (3465781)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2554847033:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 0.18/1.31 % (3465783)Instruction limit reached!
% 0.18/1.31 % (3465783)------------------------------
% 0.18/1.31 % (3465783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3465783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3465783)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3465783)Termination reason: Instruction limit
% 0.18/1.31 % (3465783)Termination phase: Saturation
% 0.18/1.31 % (3465783)Time elapsed: 0.004 s
% 0.18/1.31 % (3465783)Peak memory usage: 88 MB
% 0.18/1.31 % (3465783)Instructions burned: 4 (million)
% 0.18/1.31 % (3465779)Also succeeded, but the first one will report.
% 0.18/1.31 % (3465784)First to succeed.
% 0.18/1.31 % (3465784)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3465774"
% 0.18/1.31 % (3465785)Also succeeded, but the first one will report.
% 0.18/1.31 % (3465780)Also succeeded, but the first one will report.
% 0.18/1.31 % (3465787)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1571880086:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.18/1.31 % (3465787)Instruction limit reached!
% 0.18/1.31 % (3465787)------------------------------
% 0.18/1.31 % (3465787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3465787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3465787)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3465787)Termination reason: Instruction limit
% 0.18/1.31 % (3465787)Termination phase: Saturation
% 0.18/1.31 % (3465787)Time elapsed: 0.006 s
% 0.18/1.31 % (3465787)Peak memory usage: 88 MB
% 0.18/1.31 % (3465787)Instructions burned: 16 (million)
% 0.18/1.31 % (3465781)Instruction limit reached!
% 0.18/1.31 % (3465781)------------------------------
% 0.18/1.31 % (3465781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3465781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3465781)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3465781)Termination reason: Instruction limit
% 0.18/1.31 % (3465781)Termination phase: Saturation
% 0.18/1.31 % (3465781)Time elapsed: 0.125 s
% 0.18/1.31 % (3465781)Peak memory usage: 116 MB
% 0.18/1.31 % (3465781)Instructions burned: 203 (million)
% 0.18/1.31 % (3465794)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=1858188014:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 0.18/1.31 % (3465794)Instruction limit reached!
% 0.18/1.31 % (3465794)------------------------------
% 0.18/1.31 % (3465794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3465794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3465794)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3465794)Termination reason: Instruction limit
% 0.18/1.31 % (3465794)Termination phase: Saturation
% 0.18/1.31 % (3465794)Time elapsed: 0.022 s
% 0.18/1.31 % (3465794)Peak memory usage: 88 MB
% 0.18/1.31 % (3465794)Instructions burned: 29 (million)
% 0.18/1.31 % (3465796)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=697987557:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 0.18/1.31 % (3465796)Also succeeded, but the first one will report.
% 0.18/1.31 % (3465797)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3215492072:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 0.18/1.31 % (3465797)Also succeeded, but the first one will report.
% 0.18/1.31 % (3465784)Refutation found. Thanks to Tanya!
% 0.18/1.31 % SZS status Theorem for theBenchmark
% 0.18/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.31 % (3465784)------------------------------
% 0.18/1.31 % (3465784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (3465784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (3465784)CaDiCaL version: 2.1.3
% 0.18/1.31 % (3465784)Termination reason: Refutation
% 0.18/1.31 % (3465784)Time elapsed: 0.031 s
% 0.18/1.31 % (3465784)Peak memory usage: 114 MB
% 0.18/1.31 % (3465784)Instructions burned: 8 (million)
% 0.18/1.31 % (3465784)------------------------------
% 0.18/1.31 % (3465784)------------------------------
% 0.18/1.31 % (3465774)Success in time 0.471 s
% 0.18/1.31 % Vampire exiting
%------------------------------------------------------------------------------