%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX089_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 : n019.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 01:45:51 PM UTC 2026
% Result : Theorem 2.76s 1.14s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 1 unt; 0 typ; 4 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 18 ~; 16 |; 6 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% 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_8,type,
sK0: general > $int ).
tff(func_def_9,type,
sK1: general > symbol ).
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(f17,axiom,
( hp
=> tp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1_transition_axiom_1) ).
tff(f18,axiom,
( ( hp
=> hq )
& ( tp
=> tq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2_right_0) ).
tff(f19,conjecture,
( ( hp
=> hq )
& ( tp
=> tq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3_left_0) ).
tff(f20,negated_conjecture,
~ ( ( hp
=> hq )
& ( tp
=> tq ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
tff(f44,plain,
( ( hp
& ~ hq )
| ( ~ tq
& tp ) ),
inference(ennf_transformation,[],[f20]) ).
tff(f45,plain,
( ( tq
| ~ tp )
& ( ~ hp
| hq ) ),
inference(ennf_transformation,[],[f18]) ).
tff(f47,plain,
( tp
| ~ hp ),
inference(ennf_transformation,[],[f17]) ).
tff(f63,plain,
( ~ hp
| hq ),
inference(cnf_transformation,[],[f45]) ).
tff(f64,plain,
( tq
| ~ tp ),
inference(cnf_transformation,[],[f45]) ).
tff(f72,plain,
( tp
| ~ hp ),
inference(cnf_transformation,[],[f47]) ).
tff(f83,plain,
( ~ tq
| ~ hq ),
inference(cnf_transformation,[],[f44]) ).
tff(f84,plain,
( hp
| tp ),
inference(cnf_transformation,[],[f44]) ).
tff(f85,plain,
( ~ tq
| hp ),
inference(cnf_transformation,[],[f44]) ).
tff(f92,definition,
( spl2_1
<=> tq ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f96,definition,
( spl2_2
<=> hq ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f99,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f83,f96,f92]) ).
tff(f101,definition,
( spl2_3
<=> tp ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f104,plain,
( spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f64,f101,f92]) ).
tff(f106,definition,
( spl2_4
<=> hp ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
tff(f109,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f72,f106,f101]) ).
tff(f110,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f84,f106,f101]) ).
tff(f112,plain,
( spl2_2
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f63,f106,f96]) ).
tff(f114,plain,
( ~ spl2_1
| spl2_4 ),
inference(avatar_split_clause,[],[f85,f106,f92]) ).
tff(f115,plain,
$false,
inference(avatar_smt_refutation,[],[f114,f112,f110,f109,f104,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX089_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:00:34 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.76/1.14 % (4066106)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.76/1.14 % (4066117)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=770863693:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.76/1.14 % (4066117)First to succeed.
% 2.76/1.14 % (4066117)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4066106"
% 2.76/1.14 % (4066114)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3378601580:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.76/1.14 % (4066112)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2620459980:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.76/1.14 % (4066111)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2878110243:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.76/1.14 % (4066114)Also succeeded, but the first one will report.
% 2.76/1.14 % (4066113)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3528229416:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.76/1.14 % (4066115)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=543496681:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.76/1.14 % (4066116)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3373694009:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.76/1.14 % (4066115)Also succeeded, but the first one will report.
% 2.76/1.14 % (4066112)Also succeeded, but the first one will report.
% 2.76/1.14 % (4066111)Also succeeded, but the first one will report.
% 2.76/1.14 % (4066113)Also succeeded, but the first one will report.
% 2.76/1.14 % (4066116)Also succeeded, but the first one will report.
% 2.76/1.14 % (4066117)Refutation found. Thanks to Tanya!
% 2.76/1.14 % SZS status Theorem for theBenchmark
% 2.76/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.14 % (4066117)------------------------------
% 2.76/1.14 % (4066117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.14 % (4066117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.14 % (4066117)CaDiCaL version: 2.1.3
% 2.76/1.14 % (4066117)Termination reason: Refutation
% 2.76/1.14 % (4066117)Time elapsed: 0.020 s
% 2.76/1.14 % (4066117)Peak memory usage: 115 MB
% 2.76/1.14 % (4066117)Instructions burned: 10 (million)
% 2.76/1.14 % (4066117)------------------------------
% 2.76/1.14 % (4066117)------------------------------
% 2.76/1.14 % (4066106)Success in time 0.296 s
% 2.76/1.14 % Vampire exiting
%------------------------------------------------------------------------------