%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX084_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 : n013.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 0.09s 0.27s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 42 ( 17 ~; 9 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 102 ( 29 atm; 0 fun; 29 num; 44 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 : 11 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 25 ( 24 usr; 5 con; 0-4 aty)
% Number of variables : 44 ( 26 !; 18 ?; 44 :)
% 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_10,type,
sK0: general > $int ).
tff(func_def_11,type,
sK1: general > symbol ).
tff(func_def_12,type,
sK2: ( general * general * general * general ) > general ).
tff(func_def_13,type,
sK3: ( general * general * general * general ) > general ).
tff(func_def_14,type,
sK4: ( general * general * general * general ) > general ).
tff(func_def_15,type,
sK5: ( general * general * general * general ) > general ).
tff(func_def_16,type,
sK6: ( general * general * general * general ) > general ).
tff(func_def_17,type,
sK7: ( general * general * general * general ) > general ).
tff(func_def_18,type,
sK8: ( general * general * general * general ) > $int ).
tff(func_def_19,type,
sK9: ( general * general * general * general ) > $int ).
tff(func_def_20,type,
sK10: ( general * general * general * general ) > $int ).
tff(func_def_21,type,
sK11: ( general * general * general * general ) > $int ).
tff(func_def_22,type,
sK12: ( general * general * general * general ) > general ).
tff(func_def_23,type,
sK13: ( general * general * general * general ) > general ).
tff(func_def_24,type,
sK14: ( general * general * general * general ) > general ).
tff(func_def_25,type,
sK15: ( general * general * general * general ) > general ).
tff(func_def_26,type,
sK16: ( $int * $int ) > $int ).
tff(func_def_27,type,
sK17: ( $int * $int ) > $int ).
tff(func_def_28,type,
sK18: $int ).
tff(func_def_29,type,
sK19: $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,
div: ( general * general * general * general ) > $o ).
tff(f19,axiom,
! [X0: $int,X1: $int] :
( $greatereq(X1,0)
=> ( $greater(X0,0)
=> ? [X2: $int,X3: $int] : div(f__integer__(X1),f__integer__(X0),f__integer__(X2),f__integer__(X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_unnamed_formula) ).
tff(f20,conjecture,
! [X0: $int,X1: $int] :
( ( $greatereq(X0,0)
& $greater(X1,0) )
=> ? [X2: $int,X3: $int] : div(f__integer__(X0),f__integer__(X1),f__integer__(X2),f__integer__(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_4_unnamed_formula) ).
tff(f21,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( $greatereq(X0,0)
& $greater(X1,0) )
=> ? [X2: $int,X3: $int] : div(f__integer__(X0),f__integer__(X1),f__integer__(X2),f__integer__(X3)) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
tff(f25,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,0)
=> ( $less(0,X0)
=> ? [X2: $int,X3: $int] : div(f__integer__(X1),f__integer__(X0),f__integer__(X2),f__integer__(X3)) ) ),
inference(theory_normalization,[],[f19]) ).
tff(f26,plain,
~ ! [X0: $int,X1: $int] :
( ( ~ $less(X0,0)
& $less(0,X1) )
=> ? [X2: $int,X3: $int] : div(f__integer__(X0),f__integer__(X1),f__integer__(X2),f__integer__(X3)) ),
inference(theory_normalization,[],[f21]) ).
tff(f57,plain,
! [X0: $int,X1: $int] :
( ? [X2: $int,X3: $int] : div(f__integer__(X1),f__integer__(X0),f__integer__(X2),f__integer__(X3))
| ~ $less(0,X0)
| $less(X1,0) ),
inference(ennf_transformation,[],[f25]) ).
tff(f58,plain,
! [X0: $int,X1: $int] :
( ? [X2: $int,X3: $int] : div(f__integer__(X1),f__integer__(X0),f__integer__(X2),f__integer__(X3))
| ~ $less(0,X0)
| $less(X1,0) ),
inference(flattening,[],[f57]) ).
tff(f59,plain,
? [X0: $int,X1: $int] :
( ! [X2: $int,X3: $int] : ~ div(f__integer__(X0),f__integer__(X1),f__integer__(X2),f__integer__(X3))
& ~ $less(X0,0)
& $less(0,X1) ),
inference(ennf_transformation,[],[f26]) ).
tff(f60,plain,
? [X0: $int,X1: $int] :
( ! [X2: $int,X3: $int] : ~ div(f__integer__(X0),f__integer__(X1),f__integer__(X2),f__integer__(X3))
& ~ $less(X0,0)
& $less(0,X1) ),
inference(flattening,[],[f59]) ).
tff(f71,plain,
! [X0: $int,X1: $int] :
( div(f__integer__(X1),f__integer__(X0),f__integer__(sK16(X0,X1)),f__integer__(sK17(X0,X1)))
| ~ $less(0,X0)
| $less(X1,0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X2,sK16(X0,X1)),skolemize(X3,sK17(X0,X1))],[f58]) ).
tff(f72,plain,
( ! [X2: $int,X3: $int] : ~ div(f__integer__(sK18),f__integer__(sK19),f__integer__(X2),f__integer__(X3))
& ~ $less(sK18,0)
& $less(0,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X0,sK18),skolemize(X1,sK19)],[f60]) ).
tff(f111,plain,
! [X0: $int,X1: $int] :
( div(f__integer__(X1),f__integer__(X0),f__integer__(sK16(X0,X1)),f__integer__(sK17(X0,X1)))
| ~ $less(0,X0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f71]) ).
tff(f112,plain,
$less(0,sK19),
inference(cnf_transformation,[],[f72]) ).
tff(f113,plain,
~ $less(sK18,0),
inference(cnf_transformation,[],[f72]) ).
tff(f114,plain,
! [X2: $int,X3: $int] : ~ div(f__integer__(sK18),f__integer__(sK19),f__integer__(X2),f__integer__(X3)),
inference(cnf_transformation,[],[f72]) ).
tff(f522,plain,
( ~ $less(0,sK19)
| $less(sK18,0) ),
inference(resolution,[],[f111,f114]) ).
tff(f536,plain,
$less(sK18,0),
inference(forward_subsumption_resolution,[],[f522,f112]) ).
tff(f537,plain,
$false,
inference(forward_subsumption_resolution,[],[f536,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX084_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n013.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 14:59:51 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.27 % (1245915)Will run a generic schedule for satisfiability detection.
% 0.09/0.27 % (1245920)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2853907386_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.27 % (1245920)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.27 % (1245920)Terminated due to inappropriate strategy.
% 0.09/0.27 % (1245920)------------------------------
% 0.09/0.27 % (1245920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (1245920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (1245920)CaDiCaL version: 2.1.3
% 0.09/0.27 % (1245920)Termination reason: Inappropriate
% 0.09/0.27 % (1245920)Time elapsed: 0.001 s
% 0.09/0.27 % (1245920)Peak memory usage: 11 MB
% 0.09/0.27 % (1245920)Instructions burned: 3 (million)
% 0.09/0.27 % (1245920)------------------------------
% 0.09/0.27 % (1245920)------------------------------
% 0.09/0.27 % (1245922)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4174431355:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.27 % (1245923)dis+10_1_sil=32000:sp=arity:random_seed=3320769150:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.27 % (1245924)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4111790147:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.27 % (1245925)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2902597742:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.27 % (1245926)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2247711759:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.27 % (1245921)% WARNING: option uhcvi not known.
% 0.09/0.27 % (1245921)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2851142944:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.27 % (1245928)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2965135200:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.09/0.27 % (1245928)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.27 % (1245928)Terminated due to inappropriate strategy.
% 0.09/0.27 % (1245928)------------------------------
% 0.09/0.27 % (1245928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (1245928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (1245928)CaDiCaL version: 2.1.3
% 0.09/0.27 % (1245928)Termination reason: Inappropriate
% 0.09/0.27 % (1245928)Time elapsed: 0.001 s
% 0.09/0.27 % (1245928)Peak memory usage: 10 MB
% 0.09/0.27 % (1245928)Instructions burned: 2 (million)
% 0.09/0.27 % (1245928)------------------------------
% 0.09/0.27 % (1245928)------------------------------
% 0.09/0.27 % (1245923) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1245915-1245923"...
% 0.09/0.27 % (1245923)...printing done.
% 0.09/0.27 % (1245924) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1245915-1245924"...
% 0.09/0.27 % (1245923)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Theorem for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (1245923)------------------------------
% 0.09/0.27 % (1245923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (1245923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (1245923)CaDiCaL version: 2.1.3
% 0.09/0.27 % (1245923)Termination reason: Refutation
% 0.09/0.27 % (1245923)Time elapsed: 0.015 s
% 0.09/0.27 % (1245923)Peak memory usage: 12 MB
% 0.09/0.27 % (1245923)Instructions burned: 22 (million)
% 0.09/0.27 % (1245915)Success in time 0.047 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------