%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:47:12 PM UTC 2026
% Result : Theorem 1.19s 1.00s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 119 ( 24 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 144 ( 60 ~; 49 |; 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/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f23,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(X0,X1)
| X0 = X1
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f113,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f114,plain,
! [X2,X0,X1] :
( subset(X0,X1)
| ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,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(f180,plain,
! [X2,X0,X1] :
( ~ subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2))
| ~ subset(X1,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| X1 = X2
| ~ subset(X2,X1) ),
inference(resolution,[],[f114,f84]) ).
fof(f245,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,X0),relation_inverse_image(sK13,sK11))
| ~ subset(X0,relation_rng(sK13))
| ~ relation(sK13)
| ~ function(sK13)
| sK12 = X0
| ~ subset(sK12,X0) ),
inference(superposition,[],[f180,f119]) ).
fof(f246,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,X0),relation_inverse_image(sK13,sK11))
| ~ subset(X0,relation_rng(sK13))
| ~ function(sK13)
| sK12 = X0
| ~ subset(sK12,X0) ),
inference(forward_subsumption_resolution,[],[f245,f116]) ).
fof(f248,plain,
! [X0] :
( ~ subset(relation_inverse_image(sK13,X0),relation_inverse_image(sK13,sK11))
| ~ subset(X0,relation_rng(sK13))
| sK12 = X0
| ~ subset(sK12,X0) ),
inference(forward_subsumption_resolution,[],[f246,f115]) ).
fof(f254,plain,
( ~ subset(sK11,relation_rng(sK13))
| sK11 = sK12
| ~ subset(sK12,sK11) ),
inference(resolution,[],[f248,f113]) ).
fof(f257,plain,
( sK11 = sK12
| ~ subset(sK12,sK11) ),
inference(forward_subsumption_resolution,[],[f254,f118]) ).
fof(f258,plain,
~ subset(sK12,sK11),
inference(forward_subsumption_resolution,[],[f257,f120]) ).
fof(f259,plain,
! [X0] :
( ~ subset(relation_inverse_image(X0,sK12),relation_inverse_image(X0,sK11))
| ~ subset(sK12,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(resolution,[],[f258,f114]) ).
fof(f273,plain,
( ~ subset(relation_inverse_image(sK13,sK11),relation_inverse_image(sK13,sK11))
| ~ subset(sK12,relation_rng(sK13))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f259,f119]) ).
fof(f274,plain,
( ~ subset(sK12,relation_rng(sK13))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f273,f113]) ).
fof(f275,plain,
( ~ relation(sK13)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f274,f117]) ).
fof(f276,plain,
~ function(sK13),
inference(forward_subsumption_resolution,[],[f275,f116]) ).
fof(f277,plain,
$false,
inference(forward_subsumption_resolution,[],[f276,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU080+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.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 03:27:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.19/1.00 % (3182053)Detected formulas, will run a generic FOF schedule.
% 1.19/1.00 % (3182063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2469260961:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.19/1.00 % (3182063)First to succeed.
% 1.19/1.00 % (3182063)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3182053"
% 1.19/1.00 % (3182058)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1883363973:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.19/1.00 % (3182064)dis-21_1_sil=8000:lcm=predicate:random_seed=1865024435:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.19/1.00 % (3182060)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3452096222:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.19/1.00 % (3182059)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3906960975:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.19/1.00 % (3182061)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4193926232:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.19/1.00 % (3182062)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3601895457:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.19/1.00 % (3182061)Also succeeded, but the first one will report.
% 1.19/1.00 % (3182062)Also succeeded, but the first one will report.
% 1.19/1.00 % (3182064)Instruction limit reached!
% 1.19/1.00 % (3182064)------------------------------
% 1.19/1.00 % (3182064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.19/1.00 % (3182064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/1.00 % (3182064)CaDiCaL version: 2.1.3
% 1.19/1.00 % (3182064)Termination reason: Instruction limit
% 1.19/1.00 % (3182064)Termination phase: Saturation
% 1.19/1.00 % (3182064)Time elapsed: 0.075 s
% 1.19/1.00 % (3182064)Peak memory usage: 91 MB
% 1.19/1.00 % (3182064)Instructions burned: 129 (million)
% 1.19/1.00 % (3182063)Refutation found. Thanks to Tanya!
% 1.19/1.00 % SZS status Theorem for theBenchmark
% 1.19/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/1.00 % (3182063)------------------------------
% 1.19/1.00 % (3182063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.19/1.00 % (3182063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/1.00 % (3182063)CaDiCaL version: 2.1.3
% 1.19/1.00 % (3182063)Termination reason: Refutation
% 1.19/1.00 % (3182063)Time elapsed: 0.005 s
% 1.19/1.00 % (3182063)Peak memory usage: 89 MB
% 1.19/1.00 % (3182063)Instructions burned: 10 (million)
% 1.19/1.00 % (3182063)------------------------------
% 1.19/1.00 % (3182063)------------------------------
% 1.19/1.00 % (3182053)Success in time 0.296 s
% 1.19/1.00 % Vampire exiting
%------------------------------------------------------------------------------