%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX075_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:46:26 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 42 ( 15 unt; 0 typ; 2 def)
% Number of atoms : 84 ( 22 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 59 ( 17 ~; 21 |; 15 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 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 ( 13 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 32 !; 10 ?; 42 :)
% 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(func_def_10,type,
sK2: general > general ).
tff(func_def_11,type,
sK3: general > general ).
tff(func_def_12,type,
sK4: general > general ).
tff(func_def_13,type,
sK5: general > general ).
tff(func_def_14,type,
sK6: general > general ).
tff(func_def_15,type,
sK7: general > general ).
tff(func_def_16,type,
sK8: ( general * general ) > general ).
tff(func_def_17,type,
sK9: ( general * general ) > general ).
tff(func_def_18,type,
sK10: ( general * general ) > general ).
tff(func_def_19,type,
sK11: ( general * general ) > general ).
tff(func_def_20,type,
sK12: general ).
tff(func_def_21,type,
sK13: general ).
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,
edge: ( general * general ) > $o ).
tff(pred_def_9,type,
vertex: general > $o ).
tff(pred_def_10,type,
aux: general > $o ).
tff(pred_def_11,type,
color: general > $o ).
tff(pred_def_12,type,
color: ( general * general ) > $o ).
tff(f21,axiom,
! [X0: general,X1: general] :
( color(X0,X1)
<=> ? [X2: general,X3: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X3: general] :
( ( X3 = X2 )
& vertex(X3) )
& ? [X4: general] :
( ( X4 = X3 )
& color(X4) )
& color(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_color_2) ).
tff(f22,conjecture,
! [X0: general,X1: general] :
( color(X0,X1)
=> ( vertex(X0)
& color(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_unnamed_formula) ).
tff(f23,negated_conjecture,
~ ! [X0: general,X1: general] :
( color(X0,X1)
=> ( vertex(X0)
& color(X1) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
tff(f41,plain,
! [X0: general,X1: general] :
( color(X0,X1)
<=> ? [X2: general,X3: general] :
( ( X0 = X2 )
& ( X1 = X3 )
& ? [X4: general] :
( ( X2 = X4 )
& vertex(X4) )
& ? [X5: general] :
( ( X3 = X5 )
& color(X5) )
& color(X0,X1) ) ),
inference(rectify,[],[f21]) ).
tff(f60,plain,
? [X0: general,X1: general] :
( ( ~ vertex(X0)
| ~ color(X1) )
& color(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
tff(f88,plain,
! [X0: general,X1: general] :
( vertex(sK11(X0,X1))
| ~ color(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f89,plain,
! [X0: general,X1: general] :
( ( sK8(X0,X1) = sK11(X0,X1) )
| ~ color(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f90,plain,
! [X0: general,X1: general] :
( color(sK10(X0,X1))
| ~ color(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f91,plain,
! [X0: general,X1: general] :
( ( sK9(X0,X1) = sK10(X0,X1) )
| ~ color(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f92,plain,
! [X0: general,X1: general] :
( ( sK9(X0,X1) = X1 )
| ~ color(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f93,plain,
! [X0: general,X1: general] :
( ( sK8(X0,X1) = X0 )
| ~ color(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f94,plain,
( ~ color(sK13)
| ~ vertex(sK12) ),
inference(cnf_transformation,[],[f60]) ).
tff(f95,plain,
color(sK12,sK13),
inference(cnf_transformation,[],[f60]) ).
tff(f116,plain,
! [X0: general,X1: general] :
( color(X0,X1)
| ( sK8(X0,X1) = X0 ) ),
inference(consistent_polarity_flipping,[],[f93]) ).
tff(f117,plain,
! [X0: general,X1: general] :
( color(X0,X1)
| ( sK9(X0,X1) = X1 ) ),
inference(consistent_polarity_flipping,[],[f92]) ).
tff(f118,plain,
! [X0: general,X1: general] :
( color(X0,X1)
| ( sK9(X0,X1) = sK10(X0,X1) ) ),
inference(consistent_polarity_flipping,[],[f91]) ).
tff(f119,plain,
! [X0: general,X1: general] :
( color(sK10(X0,X1))
| color(X0,X1) ),
inference(consistent_polarity_flipping,[],[f90]) ).
tff(f120,plain,
! [X0: general,X1: general] :
( color(X0,X1)
| ( sK8(X0,X1) = sK11(X0,X1) ) ),
inference(consistent_polarity_flipping,[],[f89]) ).
tff(f121,plain,
! [X0: general,X1: general] :
( vertex(sK11(X0,X1))
| color(X0,X1) ),
inference(consistent_polarity_flipping,[],[f88]) ).
tff(f122,plain,
~ color(sK12,sK13),
inference(consistent_polarity_flipping,[],[f95]) ).
tff(f124,definition,
( spl14_1
<=> vertex(sK12) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
tff(f126,plain,
( ~ vertex(sK12)
| spl14_1 ),
inference(avatar_component_clause,[],[f124]) ).
tff(f128,definition,
( spl14_2
<=> color(sK13) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
tff(f131,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f94,f128,f124]) ).
tff(f160,plain,
sK12 = sK8(sK12,sK13),
inference(resolution,[],[f116,f122]) ).
tff(f162,plain,
sK13 = sK9(sK12,sK13),
inference(resolution,[],[f117,f122]) ).
tff(f249,plain,
sK9(sK12,sK13) = sK10(sK12,sK13),
inference(resolution,[],[f118,f122]) ).
tff(f251,plain,
sK13 = sK10(sK12,sK13),
inference(forward_demodulation,[],[f249,f162]) ).
tff(f252,plain,
sK8(sK12,sK13) = sK11(sK12,sK13),
inference(resolution,[],[f120,f122]) ).
tff(f254,plain,
sK12 = sK11(sK12,sK13),
inference(forward_demodulation,[],[f252,f160]) ).
tff(f277,plain,
( color(sK13)
| color(sK12,sK13) ),
inference(superposition,[],[f119,f251]) ).
tff(f278,plain,
color(sK13),
inference(forward_subsumption_resolution,[],[f277,f122]) ).
tff(f279,plain,
spl14_2,
inference(avatar_split_clause,[],[f278,f128]) ).
tff(f281,plain,
( vertex(sK12)
| color(sK12,sK13) ),
inference(superposition,[],[f121,f254]) ).
tff(f282,plain,
( color(sK12,sK13)
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f281,f126]) ).
tff(f284,plain,
( $false
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f282,f122]) ).
tff(f285,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f284]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f131]) ).
cnf(s2,plain,
spl14_2,
inference(sat_conversion,[],[f279]) ).
cnf(s3,plain,
spl14_1,
inference(sat_conversion,[],[f285]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
tff(f286,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX075_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n026.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 15:02:57 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (3914021)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3914027)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3914027)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2203549598:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (3914027) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3914021-3914027"...
% 0.20/0.27 % (3914027)...printing done.
% 0.20/0.27 % (3914027)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3914027)------------------------------
% 0.20/0.27 % (3914027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3914027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3914027)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3914027)Termination reason: Refutation
% 0.20/0.27 % (3914027)Time elapsed: 0.005 s
% 0.20/0.27 % (3914027)Peak memory usage: 13 MB
% 0.20/0.27 % (3914027)Instructions burned: 10 (million)
% 0.20/0.27 % (3914021)Success in time 0.031 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------