%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:00:05 PM UTC 2026
% Result : Theorem 0.07s 0.41s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 21 ( 11 avg)
% Number of connectives : 367 ( 189 ~; 168 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 11 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 138 ( 120 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| p16(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p12(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p14(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p12(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p15(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p13(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p12(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| p16(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p12(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p14(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p12(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p15(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p13(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p12(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p11(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p16(X2) )
| ~ ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
| ~ ! [X4] :
( ~ r1(X1,X4)
| p14(X4) )
| ~ ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p15(X7) ) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p13(X9) ) )
| ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p12(X11) ) )
| ! [X12] :
( ~ r1(X0,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p11(X13) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p16(X2) )
| ~ ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
| ~ ! [X4] :
( ~ r1(X1,X4)
| p14(X4) )
| ~ ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p15(X7) ) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p13(X9) ) )
| ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p12(X11) ) )
| ! [X12] :
( ~ r1(X0,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p11(X13) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p16(X2) )
| ~ ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
| ~ ! [X4] :
( ~ r1(X1,X4)
| p14(X4) )
| ~ ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p15(X7) ) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p13(X9) ) )
| ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p12(X11) ) )
| ! [X12] :
( ~ r1(X0,X12)
| ! [X13] : ~ r1(X12,X13) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p16(X2) )
| ~ ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
| ~ ! [X4] :
( ~ r1(X1,X4)
| p14(X4) )
| ~ ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p15(X7) ) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] : ~ r1(X8,X9) )
| ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p12(X11) ) )
| ! [X12] :
( ~ r1(X0,X12)
| ! [X13] : ~ r1(X12,X13) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f9,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p16(X2) )
| ~ ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
| ~ ! [X4] :
( ~ r1(X1,X4)
| p14(X4) )
| ~ ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| ! [X7] : ~ r1(X6,X7) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] : ~ r1(X8,X9) )
| ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p12(X11) ) )
| ! [X12] :
( ~ r1(X0,X12)
| ! [X13] : ~ r1(X12,X13) ) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f10,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p16(X2) )
| ~ ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
| ~ ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| ! [X7] : ~ r1(X6,X7) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] : ~ r1(X8,X9) )
| ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p12(X11) ) )
| ! [X12] :
( ~ r1(X0,X12)
| ! [X13] : ~ r1(X12,X13) ) ),
inference(pure_predicate_removal,[],[f9]) ).
fof(f11,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
| ~ ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| ! [X7] : ~ r1(X6,X7) )
| ! [X8] :
( ~ r1(X0,X8)
| ! [X9] : ~ r1(X8,X9) )
| ! [X10] :
( ~ r1(X0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p12(X11) ) )
| ! [X12] :
( ~ r1(X0,X12)
| ! [X13] : ~ r1(X12,X13) ) ),
inference(pure_predicate_removal,[],[f10]) ).
fof(f14,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ! [X3] :
( ~ r1(X1,X3)
| p12(X3) )
& ! [X5] :
( ~ r1(X1,X5)
| p12(X5) ) ) )
& ? [X6] :
( r1(X0,X6)
& ? [X7] : r1(X6,X7) )
& ? [X8] :
( r1(X0,X8)
& ? [X9] : r1(X8,X9) )
& ? [X10] :
( r1(X0,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p12(X11) ) )
& ? [X12] :
( r1(X0,X12)
& ? [X13] : r1(X12,X13) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f17,plain,
! [X3,X1] :
( p12(X3)
| ~ r1(X1,X3)
| ~ r1(sK0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f19,plain,
~ p12(sK6),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
r1(sK2,sK6),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
r1(sK0,sK2),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0] :
( ~ r1(X0,sK6)
| ~ r1(sK0,X0) ),
inference(resolution,[],[f17,f19]) ).
fof(f29,plain,
~ r1(sK0,sK2),
inference(resolution,[],[f28,f20]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.35 % Computer : n012.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 16:36:34 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.38 Running first-order model finding
% 0.07/0.38 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
% 0.07/0.41 % (2574083)Will run a generic schedule for satisfiability detection.
% 0.07/0.41 % (2574089)% WARNING: option uhcvi not known.
% 0.07/0.41 % (2574092)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3202890767:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.07/0.41 % (2574090)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2867093908:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.07/0.41 % (2574092) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2574083-2574092"...
% 0.07/0.41 % (2574093)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1443684512:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.07/0.41 % (2574089)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3928618471:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.07/0.41 % (2574091)dis+10_1_sil=32000:sp=arity:random_seed=2883279908:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.07/0.41 % (2574088)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2975189804_3000 on theBenchmark for (3000ds/0Mi)
% 0.07/0.41 % (2574094)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2292220915:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.07/0.41 % (2574090) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2574083-2574090"...
% 0.07/0.41 % (2574092)...printing done.
% 0.07/0.41 % Detected minimum model sizes of [1]
% 0.07/0.41 % Detected maximum model sizes of [9]
% 0.07/0.41 % TRYING [1]
% 0.07/0.41 % TRYING [2]
% 0.07/0.41 % (2574093) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2574083-2574093"...
% 0.07/0.41 % (2574091) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2574083-2574091"...
% 0.07/0.41 % (2574089) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2574083-2574089"...
% 0.07/0.41 % TRYING [3]
% 0.07/0.41 % TRYING [4]
% 0.07/0.41 % (2574094) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2574083-2574094"...
% 0.07/0.41 % (2574092)Refutation found. Thanks to Tanya!
% 0.07/0.41 % SZS status Theorem for theBenchmark
% 0.07/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.41 % (2574092)------------------------------
% 0.07/0.41 % (2574092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.41 % (2574092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.41 % (2574092)CaDiCaL version: 2.1.3
% 0.07/0.41 % (2574092)Termination reason: Refutation
% 0.07/0.41 % (2574092)Time elapsed: 0.002 s
% 0.07/0.41 % (2574092)Peak memory usage: 11 MB
% 0.07/0.41 % (2574092)Instructions burned: 2 (million)
% 0.07/0.41 % (2574083)Success in time 0.021 s
% 0.07/0.41 % Vampire exiting
%------------------------------------------------------------------------------