%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:51:54 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 111 ( 20 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 122 ( 46 ~; 41 |; 28 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f23,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f24,axiom,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& subset(X0,relation_rng(X2)) )
=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t158_funct_1) ).
fof(f25,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& subset(X0,relation_rng(X2))
& subset(X1,relation_rng(X2)) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t161_funct_1) ).
fof(f26,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& subset(X0,relation_rng(X2))
& subset(X1,relation_rng(X2)) )
=> X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f35,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f23]) ).
fof(f49,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ subset(X0,relation_rng(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f50,plain,
! [X0,X1,X2] :
( subset(X0,X1)
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| ~ subset(X0,relation_rng(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
? [X0,X1,X2] :
( X0 != X1
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& subset(X0,relation_rng(X2))
& subset(X1,relation_rng(X2))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f52,plain,
? [X0,X1,X2] :
( X0 != X1
& relation_inverse_image(X2,X0) = relation_inverse_image(X2,X1)
& subset(X0,relation_rng(X2))
& subset(X1,relation_rng(X2))
& relation(X2)
& function(X2) ),
inference(flattening,[],[f51]) ).
fof(f62,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f63,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f62]) ).
fof(f75,plain,
( sK11 != sK12
& relation_inverse_image(sK13,sK11) = relation_inverse_image(sK13,sK12)
& subset(sK11,relation_rng(sK13))
& subset(sK12,relation_rng(sK13))
& relation(sK13)
& function(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f52]) ).
fof(f84,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f113,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
| subset(X0,X1)
| ~ subset(X0,relation_rng(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f115,plain,
function(sK13),
inference(cnf_transformation,[],[f75]) ).
fof(f116,plain,
relation(sK13),
inference(cnf_transformation,[],[f75]) ).
fof(f117,plain,
subset(sK12,relation_rng(sK13)),
inference(cnf_transformation,[],[f75]) ).
fof(f118,plain,
subset(sK11,relation_rng(sK13)),
inference(cnf_transformation,[],[f75]) ).
fof(f119,plain,
relation_inverse_image(sK13,sK11) = relation_inverse_image(sK13,sK12),
inference(cnf_transformation,[],[f75]) ).
fof(f120,plain,
sK11 != sK12,
inference(cnf_transformation,[],[f75]) ).
fof(f248,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,sK11),relation_inverse_image(sK13,X0))
| subset(sK12,X0)
| ~ subset(sK12,relation_rng(sK13))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f114,f119]) ).
fof(f249,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,X0),relation_inverse_image(sK13,sK11))
| subset(X0,sK12)
| ~ subset(X0,relation_rng(sK13))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f114,f119]) ).
fof(f250,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,X0),relation_inverse_image(sK13,sK11))
| subset(X0,sK12)
| ~ subset(X0,relation_rng(sK13))
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f249,f116]) ).
fof(f251,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,sK11),relation_inverse_image(sK13,X0))
| subset(sK12,X0)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f248,f117]) ).
fof(f252,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,X0),relation_inverse_image(sK13,sK11))
| subset(X0,sK12)
| ~ subset(X0,relation_rng(sK13)) ),
inference(forward_subsumption_resolution,[],[f250,f115]) ).
fof(f253,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,sK11),relation_inverse_image(sK13,X0))
| subset(sK12,X0)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f251,f116]) ).
fof(f254,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,sK11),relation_inverse_image(sK13,X0))
| subset(sK12,X0) ),
inference(forward_subsumption_resolution,[],[f253,f115]) ).
fof(f255,plain,
subset(sK12,sK11),
inference(resolution,[],[f254,f113]) ).
fof(f257,plain,
( subset(sK11,sK12)
| ~ subset(sK11,relation_rng(sK13)) ),
inference(resolution,[],[f252,f113]) ).
fof(f259,plain,
subset(sK11,sK12),
inference(forward_subsumption_resolution,[],[f257,f118]) ).
fof(f272,plain,
( ~ subset(sK12,sK11)
| sK11 = sK12 ),
inference(resolution,[],[f259,f84]) ).
fof(f273,plain,
sK11 = sK12,
inference(forward_subsumption_resolution,[],[f272,f255]) ).
fof(f274,plain,
$false,
inference(forward_subsumption_resolution,[],[f273,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:33:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 0.11/0.45 % (1157080)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1157087)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=333730268:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (1157085)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1204151788_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (1157091)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3499771025:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (1157088)dis+10_1_sil=32000:sp=arity:random_seed=3589297892:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (1157089)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=451253809:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (1157090)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3469562587:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (1157086)% WARNING: option uhcvi not known.
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % (1157088) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1157080-1157088"...
% 0.11/0.45 % (1157089) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1157080-1157089"...
% 0.11/0.45 % (1157086)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1873762398:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (1157089)...printing done.
% 0.11/0.45 % (1157088)...printing done.
% 0.11/0.45 % (1157090) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1157080-1157090"...
% 0.11/0.45 % TRYING [5]
% 0.11/0.45 % (1157088)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (1157088)------------------------------
% 0.11/0.45 % (1157088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1157088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1157088)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1157088)Termination reason: Refutation
% 0.11/0.45 % (1157088)Time elapsed: 0.005 s
% 0.11/0.45 % (1157088)Peak memory usage: 12 MB
% 0.11/0.45 % (1157088)Instructions burned: 6 (million)
% 0.11/0.45 % (1157080)Success in time 0.048 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------