%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX080_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 : n016.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 01:46:27 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 173 ( 90 equ)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 254 ( 108 ~; 104 |; 38 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 10 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 : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-1 aty)
% Number of variables : 121 ( 97 !; 24 ?; 121 :)
% 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_9,type,
sK0: general > $int ).
tff(func_def_10,type,
sK1: general > symbol ).
tff(func_def_11,type,
sK2: general > $int ).
tff(func_def_12,type,
sK3: general > general ).
tff(func_def_13,type,
sK4: general > general ).
tff(func_def_14,type,
sK5: general > general ).
tff(func_def_15,type,
sK6: general > general ).
tff(func_def_16,type,
sK7: general > general ).
tff(func_def_17,type,
sK8: general > $int ).
tff(func_def_18,type,
sK9: general > $int ).
tff(func_def_19,type,
sK10: general > $int ).
tff(func_def_20,type,
sK11: general > $int ).
tff(func_def_21,type,
sK12: general > general ).
tff(func_def_22,type,
sK13: general ).
tff(func_def_23,type,
sK14: general ).
tff(func_def_24,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,
s: ( general * general ) > $o ).
tff(pred_def_9,type,
covered: general > $o ).
tff(pred_def_10,type,
in_cover: general > $o ).
tff(f19,axiom,
! [X0: general,X1: general,X2: general] :
( ( ? [X3: general,X4: general] :
( ( X3 = X0 )
& ( X4 = X1 )
& ( X3 != X4 ) )
& ? [X3: general] :
( ( X3 = X0 )
& in_cover(X3) )
& ? [X3: general] :
( ( X3 = X1 )
& in_cover(X3) )
& ? [X3: general,X4: general] :
( ( X3 = X2 )
& ( X4 = X0 )
& s(X3,X4) )
& ? [X3: general,X4: general] :
( ( X3 = X2 )
& ( X4 = X1 )
& s(X3,X4) ) )
=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_constraint_0) ).
tff(f24,conjecture,
! [X0: general,X1: general] :
( ( ? [X2: general] :
( s(X2,X0)
& s(X2,X1) )
& in_cover(X0)
& in_cover(X1) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_8_unnamed_formula) ).
tff(f25,negated_conjecture,
~ ! [X0: general,X1: general] :
( ( ? [X2: general] :
( s(X2,X0)
& s(X2,X1) )
& in_cover(X0)
& in_cover(X1) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
tff(f44,plain,
! [X0: general,X1: general,X2: general] :
( ( ? [X3: general,X4: general] :
( ( X3 = X0 )
& ( X4 = X1 )
& ( X3 != X4 ) )
& ? [X5: general] :
( ( X0 = X5 )
& in_cover(X5) )
& ? [X6: general] :
( ( X1 = X6 )
& in_cover(X6) )
& ? [X7: general,X8: general] :
( ( X2 = X7 )
& ( X0 = X8 )
& s(X7,X8) )
& ? [X9: general,X10: general] :
( ( X2 = X9 )
& ( X1 = X10 )
& s(X9,X10) ) )
=> $false ),
inference(rectify,[],[f19]) ).
tff(f60,plain,
! [X0: general,X1: general,X2: general] :
( $false
| ! [X3: general,X4: general] :
( ( X0 != X3 )
| ( X1 != X4 )
| ( X3 = X4 ) )
| ! [X5: general] :
( ( X0 != X5 )
| ~ in_cover(X5) )
| ! [X6: general] :
( ( X1 != X6 )
| ~ in_cover(X6) )
| ! [X7: general,X8: general] :
( ( X2 != X7 )
| ( X0 != X8 )
| ~ s(X7,X8) )
| ! [X9: general,X10: general] :
( ( X2 != X9 )
| ( X1 != X10 )
| ~ s(X9,X10) ) ),
inference(ennf_transformation,[],[f44]) ).
tff(f61,plain,
! [X0: general,X1: general,X2: general] :
( $false
| ! [X3: general,X4: general] :
( ( X0 != X3 )
| ( X1 != X4 )
| ( X3 = X4 ) )
| ! [X5: general] :
( ( X0 != X5 )
| ~ in_cover(X5) )
| ! [X6: general] :
( ( X1 != X6 )
| ~ in_cover(X6) )
| ! [X7: general,X8: general] :
( ( X2 != X7 )
| ( X0 != X8 )
| ~ s(X7,X8) )
| ! [X9: general,X10: general] :
( ( X2 != X9 )
| ( X1 != X10 )
| ~ s(X9,X10) ) ),
inference(flattening,[],[f60]) ).
tff(f66,plain,
? [X0: general,X1: general] :
( ( X0 != X1 )
& ? [X2: general] :
( s(X2,X0)
& s(X2,X1) )
& in_cover(X0)
& in_cover(X1) ),
inference(ennf_transformation,[],[f25]) ).
tff(f67,plain,
? [X0: general,X1: general] :
( ( X0 != X1 )
& ? [X2: general] :
( s(X2,X0)
& s(X2,X1) )
& in_cover(X0)
& in_cover(X1) ),
inference(flattening,[],[f66]) ).
tff(f95,plain,
! [X2: general,X3: general,X10: general,X0: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
( ~ s(X9,X10)
| ( X1 != X10 )
| ( X2 != X9 )
| ~ s(X7,X8)
| ( X0 != X8 )
| ( X2 != X7 )
| ~ in_cover(X6)
| ( X1 != X6 )
| ~ in_cover(X5)
| ( X0 != X5 )
| ( X3 = X4 )
| ( X1 != X4 )
| ( X0 != X3 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f107,plain,
s(sK15,sK14),
inference(cnf_transformation,[],[f67]) ).
tff(f108,plain,
s(sK15,sK13),
inference(cnf_transformation,[],[f67]) ).
tff(f109,plain,
in_cover(sK14),
inference(cnf_transformation,[],[f67]) ).
tff(f110,plain,
in_cover(sK13),
inference(cnf_transformation,[],[f67]) ).
tff(f111,plain,
sK13 != sK14,
inference(cnf_transformation,[],[f67]) ).
tff(f115,plain,
! [X2: general,X3: general,X10: general,X0: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
( ~ s(X9,X10)
| ( X2 != X9 )
| ~ s(X7,X8)
| ( X0 != X8 )
| ( X2 != X7 )
| ~ in_cover(X6)
| ( X6 != X10 )
| ~ in_cover(X5)
| ( X0 != X5 )
| ( X3 = X4 )
| ( X4 != X10 )
| ( X0 != X3 ) ),
inference(equality_resolution,[],[f95]) ).
tff(f116,plain,
! [X3: general,X10: general,X0: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
( ~ s(X9,X10)
| ~ s(X7,X8)
| ( X0 != X8 )
| ( X7 != X9 )
| ~ in_cover(X6)
| ( X6 != X10 )
| ~ in_cover(X5)
| ( X0 != X5 )
| ( X3 = X4 )
| ( X4 != X10 )
| ( X0 != X3 ) ),
inference(equality_resolution,[],[f115]) ).
tff(f117,plain,
! [X3: general,X10: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
( ~ s(X9,X10)
| ~ s(X7,X8)
| ( X7 != X9 )
| ~ in_cover(X6)
| ( X6 != X10 )
| ~ in_cover(X5)
| ( X5 != X8 )
| ( X3 = X4 )
| ( X4 != X10 )
| ( X3 != X8 ) ),
inference(equality_resolution,[],[f116]) ).
tff(f118,plain,
! [X3: general,X10: general,X8: general,X6: general,X9: general,X4: general,X5: general] :
( ~ s(X9,X10)
| ~ s(X9,X8)
| ~ in_cover(X6)
| ( X6 != X10 )
| ~ in_cover(X5)
| ( X5 != X8 )
| ( X3 = X4 )
| ( X4 != X10 )
| ( X3 != X8 ) ),
inference(equality_resolution,[],[f117]) ).
tff(f119,plain,
! [X3: general,X10: general,X8: general,X9: general,X4: general,X5: general] :
( ~ s(X9,X10)
| ~ s(X9,X8)
| ~ in_cover(X10)
| ~ in_cover(X5)
| ( X5 != X8 )
| ( X3 = X4 )
| ( X4 != X10 )
| ( X3 != X8 ) ),
inference(equality_resolution,[],[f118]) ).
tff(f120,plain,
! [X3: general,X10: general,X8: general,X9: general,X4: general] :
( ~ s(X9,X10)
| ~ s(X9,X8)
| ~ in_cover(X10)
| ~ in_cover(X8)
| ( X3 = X4 )
| ( X4 != X10 )
| ( X3 != X8 ) ),
inference(equality_resolution,[],[f119]) ).
tff(f121,plain,
! [X3: general,X10: general,X8: general,X9: general] :
( ~ s(X9,X10)
| ~ s(X9,X8)
| ~ in_cover(X10)
| ~ in_cover(X8)
| ( X3 = X10 )
| ( X3 != X8 ) ),
inference(equality_resolution,[],[f120]) ).
tff(f122,plain,
! [X10: general,X8: general,X9: general] :
( ~ s(X9,X10)
| ~ s(X9,X8)
| ~ in_cover(X10)
| ~ in_cover(X8)
| ( X8 = X10 ) ),
inference(equality_resolution,[],[f121]) ).
tff(f473,plain,
! [X0: general] :
( ~ s(sK15,X0)
| ~ in_cover(X0)
| ~ in_cover(sK13)
| ( sK13 = X0 ) ),
inference(resolution,[],[f122,f108]) ).
tff(f476,plain,
! [X0: general] :
( ~ s(sK15,X0)
| ~ in_cover(X0)
| ( sK13 = X0 ) ),
inference(forward_subsumption_resolution,[],[f473,f110]) ).
tff(f573,plain,
( ~ in_cover(sK14)
| ( sK13 = sK14 ) ),
inference(resolution,[],[f476,f107]) ).
tff(f577,plain,
sK13 = sK14,
inference(forward_subsumption_resolution,[],[f573,f109]) ).
tff(f586,plain,
$false,
inference(forward_subsumption_resolution,[],[f577,f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX080_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:04:49 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.28 % (3687732)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (3687741)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2352880857:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (3687738)% WARNING: option uhcvi not known.
% 0.19/0.28 % (3687741) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3687732-3687741"...
% 0.19/0.28 % (3687738)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=222254936:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (3687741)...printing done.
% 0.19/0.28 % (3687737)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=317050180_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (3687739)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1910020138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (3687740)dis+10_1_sil=32000:sp=arity:random_seed=4175229402:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (3687743)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1065603939:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (3687741)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (3687741)------------------------------
% 0.19/0.28 % (3687741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (3687741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (3687741)CaDiCaL version: 2.1.3
% 0.19/0.28 % (3687741)Termination reason: Refutation
% 0.19/0.28 % (3687741)Time elapsed: 0.007 s
% 0.19/0.28 % (3687741)Peak memory usage: 12 MB
% 0.19/0.28 % (3687741)Instructions burned: 17 (million)
% 0.19/0.28 % (3687732)Success in time 0.045 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------