%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX076_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 0.07s 0.23s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 64 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 133 ( 53 ~; 44 |; 32 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 1 ( 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 : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-2 aty)
% Number of variables : 91 ( 67 !; 24 ?; 91 :)
% 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 > general ).
tff(func_def_21,type,
sK13: general ).
tff(func_def_22,type,
sK14: general ).
tff(func_def_23,type,
sK15: 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(f18,axiom,
! [X0: general,X1: general,X2: general] :
( ( ? [X3: general,X2: general] :
( ( X3 = X0 )
& ( X2 = X1 )
& color(X3,X2) )
& ? [X3: general,X1: general] :
( ( X3 = X0 )
& ( X1 = X2 )
& color(X3,X1) )
& ? [X3: general,X4: general] :
( ( X3 = X1 )
& ( X4 = X2 )
& ( X3 != X4 ) ) )
=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2_constraint_0) ).
tff(f24,conjecture,
! [X0: general,X1: general,X2: general] :
( ( color(X0,X1)
& color(X0,X2) )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8_unnamed_formula) ).
tff(f25,negated_conjecture,
~ ! [X0: general,X1: general,X2: general] :
( ( color(X0,X1)
& color(X0,X2) )
=> ( X1 = X2 ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
tff(f40,plain,
! [X0: general,X1: general,X2: general] :
( ( ? [X3: general,X4: general] :
( ( X3 = X0 )
& ( X1 = X4 )
& color(X3,X4) )
& ? [X5: general,X6: general] :
( ( X0 = X5 )
& ( X2 = X6 )
& color(X5,X6) )
& ? [X7: general,X8: general] :
( ( X1 = X7 )
& ( X2 = X8 )
& ( X7 != X8 ) ) )
=> $false ),
inference(rectify,[],[f18]) ).
tff(f41,plain,
! [X0: general,X1: general,X2: general] :
~ ( ? [X3: general,X4: general] :
( ( X3 = X0 )
& ( X1 = X4 )
& color(X3,X4) )
& ? [X5: general,X6: general] :
( ( X0 = X5 )
& ( X2 = X6 )
& color(X5,X6) )
& ? [X7: general,X8: general] :
( ( X1 = X7 )
& ( X2 = X8 )
& ( X7 != X8 ) ) ),
inference(true_and_false_elimination,[],[f40]) ).
tff(f61,plain,
! [X0: general,X1: general,X2: general] :
( ! [X3: general,X4: general] :
( ( X0 != X3 )
| ( X1 != X4 )
| ~ color(X3,X4) )
| ! [X5: general,X6: general] :
( ( X0 != X5 )
| ( X2 != X6 )
| ~ color(X5,X6) )
| ! [X7: general,X8: general] :
( ( X1 != X7 )
| ( X2 != X8 )
| ( X7 = X8 ) ) ),
inference(ennf_transformation,[],[f41]) ).
tff(f65,plain,
? [X0: general,X1: general,X2: general] :
( ( X1 != X2 )
& color(X0,X1)
& color(X0,X2) ),
inference(ennf_transformation,[],[f25]) ).
tff(f66,plain,
? [X0: general,X1: general,X2: general] :
( ( X1 != X2 )
& color(X0,X1)
& color(X0,X2) ),
inference(flattening,[],[f65]) ).
tff(f77,plain,
( ( sK14 != sK15 )
& color(sK13,sK14)
& color(sK13,sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f66]) ).
tff(f103,plain,
! [X2: general,X3: general,X0: general,X1: general,X8: general,X6: general,X7: general,X4: general,X5: general] :
( ( X0 != X3 )
| ( X1 != X4 )
| ~ color(X3,X4)
| ( X0 != X5 )
| ( X2 != X6 )
| ~ color(X5,X6)
| ( X1 != X7 )
| ( X2 != X8 )
| ( X7 = X8 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f116,plain,
color(sK13,sK15),
inference(cnf_transformation,[],[f77]) ).
tff(f117,plain,
color(sK13,sK14),
inference(cnf_transformation,[],[f77]) ).
tff(f118,plain,
sK14 != sK15,
inference(cnf_transformation,[],[f77]) ).
tff(f122,plain,
! [X2: general,X3: general,X1: general,X8: general,X6: general,X7: general,X4: general,X5: general] :
( ( X1 != X4 )
| ~ color(X3,X4)
| ( X3 != X5 )
| ( X2 != X6 )
| ~ color(X5,X6)
| ( X1 != X7 )
| ( X2 != X8 )
| ( X7 = X8 ) ),
inference(equality_resolution,[],[f103]) ).
tff(f123,plain,
! [X2: general,X3: general,X8: general,X6: general,X7: general,X4: general,X5: general] :
( ~ color(X3,X4)
| ( X3 != X5 )
| ( X2 != X6 )
| ~ color(X5,X6)
| ( X4 != X7 )
| ( X2 != X8 )
| ( X7 = X8 ) ),
inference(equality_resolution,[],[f122]) ).
tff(f124,plain,
! [X2: general,X8: general,X6: general,X7: general,X4: general,X5: general] :
( ~ color(X5,X4)
| ( X2 != X6 )
| ~ color(X5,X6)
| ( X4 != X7 )
| ( X2 != X8 )
| ( X7 = X8 ) ),
inference(equality_resolution,[],[f123]) ).
tff(f125,plain,
! [X8: general,X6: general,X7: general,X4: general,X5: general] :
( ~ color(X5,X4)
| ~ color(X5,X6)
| ( X4 != X7 )
| ( X6 != X8 )
| ( X7 = X8 ) ),
inference(equality_resolution,[],[f124]) ).
tff(f126,plain,
! [X8: general,X6: general,X7: general,X5: general] :
( ~ color(X5,X7)
| ~ color(X5,X6)
| ( X6 != X8 )
| ( X7 = X8 ) ),
inference(equality_resolution,[],[f125]) ).
tff(f127,plain,
! [X8: general,X7: general,X5: general] :
( ~ color(X5,X8)
| ~ color(X5,X7)
| ( X7 = X8 ) ),
inference(equality_resolution,[],[f126]) ).
tff(f232,plain,
! [X0: general] :
( ~ color(sK13,X0)
| ( sK15 = X0 ) ),
inference(resolution,[],[f127,f116]) ).
tff(f239,plain,
sK14 = sK15,
inference(resolution,[],[f232,f117]) ).
tff(f243,plain,
$false,
inference(forward_subsumption_resolution,[],[f239,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX076_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.15 % Computer : n009.cluster.edu
% 0.07/0.15 % Model : x86_64 x86_64
% 0.07/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.15 % Memory : 8046.5625MB
% 0.07/0.15 % OS : Linux 6.8.0-71-generic
% 0.07/0.15 % CPULimit : 300
% 0.07/0.15 % WCLimit : 300
% 0.07/0.15 % DateTime : Mon Sep 28 15:00:15 UTC 2026
% 0.07/0.16 % CPUTime :
% 0.07/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 Running first-order model finding
% 0.07/0.19 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.23 % (3122412)Will run a generic schedule for satisfiability detection.
% 0.07/0.23 % (3122420)dis+10_1_sil=32000:sp=arity:random_seed=3180013251:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.23 % (3122420) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3122412-3122420"...
% 0.07/0.23 % (3122418)% WARNING: option uhcvi not known.
% 0.07/0.23 % (3122420)...printing done.
% 0.07/0.23 % (3122420)Refutation found. Thanks to Tanya!
% 0.07/0.23 % SZS status Theorem for theBenchmark
% 0.07/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.23 % (3122420)------------------------------
% 0.07/0.23 % (3122420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.23 % (3122420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.23 % (3122420)CaDiCaL version: 2.1.3
% 0.07/0.23 % (3122420)Termination reason: Refutation
% 0.07/0.23 % (3122420)Time elapsed: 0.004 s
% 0.07/0.23 % (3122420)Peak memory usage: 12 MB
% 0.07/0.23 % (3122420)Instructions burned: 8 (million)
% 0.07/0.23 % (3122412)Success in time 0.033 s
% 0.07/0.23 % Vampire exiting
%------------------------------------------------------------------------------