%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU247+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:47:59 PM UTC 2026
% Result : Theorem 3.83s 1.52s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 28 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 5 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,axiom,
! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f205,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f207,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(f208,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f207]) ).
fof(f469,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f191]) ).
fof(f488,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f205]) ).
fof(f489,plain,
? [X0,X1] :
( relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
& relation(X1) ),
inference(ennf_transformation,[],[f208]) ).
fof(f791,plain,
( relation_restriction(sK105,sK104) != relation_rng_restriction(sK104,relation_dom_restriction(sK105,sK104))
& relation(sK105) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104,sK105]),skolemize(X0,sK104),skolemize(X1,sK105)],[f489]) ).
fof(f1281,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1303,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1305,plain,
relation(sK105),
inference(cnf_transformation,[],[f791]) ).
fof(f1306,plain,
relation_restriction(sK105,sK104) != relation_rng_restriction(sK104,relation_dom_restriction(sK105,sK104)),
inference(cnf_transformation,[],[f791]) ).
fof(f1613,plain,
! [X0,X1] : relation_dom_restriction(relation_rng_restriction(X0,sK105),X1) = relation_rng_restriction(X0,relation_dom_restriction(sK105,X1)),
inference(resolution,[],[f1281,f1305]) ).
fof(f1614,plain,
relation_restriction(sK105,sK104) != relation_dom_restriction(relation_rng_restriction(sK104,sK105),sK104),
inference(superposition,[],[f1306,f1613]) ).
fof(f1623,plain,
( relation_restriction(sK105,sK104) != relation_restriction(sK105,sK104)
| ~ relation(sK105) ),
inference(superposition,[],[f1614,f1303]) ).
fof(f1624,plain,
~ relation(sK105),
inference(trivial_inequality_removal,[],[f1623]) ).
fof(f1625,plain,
$false,
inference(forward_subsumption_resolution,[],[f1624,f1305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU247+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n010.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 04:19:17 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.83/1.52 % (1551309)Detected formulas, will run a generic FOF schedule.
% 3.83/1.52 % (1551314)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=1625984025:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.83/1.52 % (1551318)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=356610686:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.83/1.52 % (1551316)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=3897401126:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.83/1.52 % (1551319)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=409270836:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.83/1.52 % (1551317)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=229409158:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.83/1.52 % (1551320)dis-21_1_sil=8000:lcm=predicate:random_seed=1454339860: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)
% 3.83/1.52 % (1551315)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=1255702221:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.83/1.52 % (1551319)First to succeed.
% 3.83/1.52 % (1551319)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1551309"
% 3.83/1.52 % (1551317)Instruction limit reached!
% 3.83/1.52 % (1551317)------------------------------
% 3.83/1.52 % (1551317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.52 % (1551317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.52 % (1551317)CaDiCaL version: 2.1.3
% 3.83/1.52 % (1551317)Termination reason: Instruction limit
% 3.83/1.52 % (1551317)Termination phase: Saturation
% 3.83/1.52 % (1551317)Time elapsed: 0.069 s
% 3.83/1.52 % (1551317)Peak memory usage: 90 MB
% 3.83/1.52 % (1551317)Instructions burned: 111 (million)
% 3.83/1.52 % (1551320)Instruction limit reached!
% 3.83/1.52 % (1551320)------------------------------
% 3.83/1.52 % (1551320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.52 % (1551320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.52 % (1551320)CaDiCaL version: 2.1.3
% 3.83/1.52 % (1551320)Termination reason: Instruction limit
% 3.83/1.52 % (1551320)Termination phase: Saturation
% 3.83/1.52 % (1551320)Time elapsed: 0.077 s
% 3.83/1.52 % (1551320)Peak memory usage: 90 MB
% 3.83/1.52 % (1551320)Instructions burned: 129 (million)
% 3.83/1.52 % (1551318)Instruction limit reached!
% 3.83/1.52 % (1551318)------------------------------
% 3.83/1.52 % (1551318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.52 % (1551318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.52 % (1551318)CaDiCaL version: 2.1.3
% 3.83/1.52 % (1551318)Termination reason: Instruction limit
% 3.83/1.52 % (1551318)Termination phase: Saturation
% 3.83/1.52 % (1551318)Time elapsed: 0.080 s
% 3.83/1.52 % (1551318)Peak memory usage: 90 MB
% 3.83/1.52 % (1551318)Instructions burned: 120 (million)
% 3.83/1.52 % (1551328)lrs+10_1_sil=8000:sp=occurrence:random_seed=2951853634:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.83/1.52 % (1551329)lrs+10_1_sil=32000:urr=on:br=off:random_seed=836526832:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.83/1.52 % (1551330)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1714860819:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.83/1.52 % (1551329)Also succeeded, but the first one will report.
% 3.83/1.52 % (1551319)Refutation found. Thanks to Tanya!
% 3.83/1.52 % SZS status Theorem for theBenchmark
% 3.83/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.52 % (1551319)------------------------------
% 3.83/1.52 % (1551319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.52 % (1551319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.52 % (1551319)CaDiCaL version: 2.1.3
% 3.83/1.52 % (1551319)Termination reason: Refutation
% 3.83/1.52 % (1551319)Time elapsed: 0.018 s
% 3.83/1.52 % (1551319)Peak memory usage: 89 MB
% 3.83/1.52 % (1551319)Instructions burned: 29 (million)
% 3.83/1.52 % (1551319)------------------------------
% 3.83/1.52 % (1551319)------------------------------
% 3.83/1.52 % (1551309)Success in time 0.459 s
% 3.83/1.52 % Vampire exiting
%------------------------------------------------------------------------------