%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU373+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 : 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 12:48:35 PM UTC 2026
% Result : Theorem 5.45s 1.76s
% Output : Refutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 129 ( 6 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 156 ( 60 ~; 56 |; 19 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 63 ( 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( rel_str(X1)
=> ( subrelstr(X1,X0)
<=> ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(f179,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( net_str(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f269,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f275,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f276,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f595,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset(the_carrier(X2),the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_yellow_6) ).
fof(f596,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset(the_carrier(X2),the_carrier(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f595]) ).
fof(f946,plain,
! [X0] :
( ! [X1] :
( ( subrelstr(X1,X0)
<=> ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f1061,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f179]) ).
fof(f1148,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f269]) ).
fof(f1153,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f275]) ).
fof(f1154,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f276]) ).
fof(f1155,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f1154]) ).
fof(f1517,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ subset(the_carrier(X2),the_carrier(X1))
& subnetstr(X2,X0,X1) )
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f596]) ).
fof(f1889,plain,
! [X0] :
( ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_carrier(X1),the_carrier(X0))
| ~ subset(the_InternalRel(X1),the_InternalRel(X0)) )
& ( ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f946]) ).
fof(f1890,plain,
! [X0] :
( ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_carrier(X1),the_carrier(X0))
| ~ subset(the_InternalRel(X1),the_InternalRel(X0)) )
& ( ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1889]) ).
fof(f2109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
& ( ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
| ~ subnetstr(X2,X0,X1) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f1061]) ).
fof(f2110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
& ( ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
| ~ subnetstr(X2,X0,X1) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f2109]) ).
fof(f2510,plain,
( ~ subset(the_carrier(sK543),the_carrier(sK542))
& subnetstr(sK543,sK541,sK542)
& net_str(sK542,sK541)
& one_sorted_str(sK541) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK541,sK542,sK543]),skolemize(X0,sK541),skolemize(X1,sK542),skolemize(X2,sK543)],[f1517]) ).
fof(f2829,plain,
! [X0,X1] :
( subset(the_carrier(X1),the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1890]) ).
fof(f3234,plain,
! [X2,X0,X1] :
( subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2110]) ).
fof(f3331,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1148]) ).
fof(f3336,plain,
! [X0,X1] :
( ~ subrelstr(X1,X0)
| rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1153]) ).
fof(f3337,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f1155]) ).
fof(f4591,plain,
one_sorted_str(sK541),
inference(cnf_transformation,[],[f2510]) ).
fof(f4592,plain,
net_str(sK542,sK541),
inference(cnf_transformation,[],[f2510]) ).
fof(f4593,plain,
subnetstr(sK543,sK541,sK542),
inference(cnf_transformation,[],[f2510]) ).
fof(f4594,plain,
~ subset(the_carrier(sK543),the_carrier(sK542)),
inference(cnf_transformation,[],[f2510]) ).
fof(f5197,plain,
rel_str(sK542),
inference(unit_resulting_resolution,[],[f3331,f4591,f4592]) ).
fof(f5225,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[],[f3234,f3337]) ).
fof(f5228,plain,
subrelstr(sK543,sK542),
inference(unit_resulting_resolution,[],[f5225,f4591,f4592,f4593]) ).
fof(f5491,plain,
! [X0,X1] :
( subset(the_carrier(X1),the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f2829,f3336]) ).
fof(f5497,plain,
$false,
inference(unit_resulting_resolution,[],[f5491,f5197,f5228,f4594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU373+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:58:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.01/1.57 % (812184)Detected formulas, will run a generic FOF schedule.
% 4.01/1.57 % (812192)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3233882434:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.01/1.57 % (812189)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=67770394:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.01/1.57 % (812190)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=318013962:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.01/1.57 % (812191)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=3036933171:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.01/1.57 % (812192)Instruction limit reached!
% 4.01/1.57 % (812192)------------------------------
% 4.01/1.57 % (812192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.57 % (812192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.57 % (812192)CaDiCaL version: 2.1.3
% 4.01/1.57 % (812192)Termination reason: Instruction limit
% 4.01/1.57 % (812192)Termination phase: Property scanning
% 4.01/1.57 % (812192)Time elapsed: 0.036 s
% 4.01/1.57 % (812192)Peak memory usage: 90 MB
% 4.01/1.57 % (812192)Instructions burned: 110 (million)
% 4.01/1.57 % (812193)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1424568538:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.01/1.57 % (812195)dis-21_1_sil=8000:lcm=predicate:random_seed=3546179043: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)
% 4.01/1.57 % (812194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4288470165:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.01/1.57 % (812195)Instruction limit reached!
% 4.01/1.57 % (812195)------------------------------
% 4.01/1.57 % (812195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.57 % (812195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.57 % (812195)CaDiCaL version: 2.1.3
% 4.01/1.57 % (812195)Termination reason: Instruction limit
% 4.01/1.57 % (812195)Termination phase: Saturation
% 4.01/1.57 % (812195)Time elapsed: 0.068 s
% 4.01/1.57 % (812195)Peak memory usage: 92 MB
% 4.01/1.57 % (812195)Instructions burned: 129 (million)
% 4.01/1.57 % (812193)Instruction limit reached!
% 4.01/1.57 % (812193)------------------------------
% 4.01/1.57 % (812193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.57 % (812193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.57 % (812193)CaDiCaL version: 2.1.3
% 4.01/1.57 % (812193)Termination reason: Instruction limit
% 4.01/1.57 % (812193)Termination phase: Saturation
% 4.01/1.57 % (812193)Time elapsed: 0.074 s
% 4.01/1.57 % (812193)Peak memory usage: 91 MB
% 4.01/1.57 % (812193)Instructions burned: 121 (million)
% 4.01/1.57 % (812194)Instruction limit reached!
% 4.01/1.57 % (812194)------------------------------
% 4.01/1.57 % (812194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.57 % (812194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.57 % (812194)CaDiCaL version: 2.1.3
% 4.01/1.57 % (812194)Termination reason: Instruction limit
% 4.01/1.57 % (812194)Termination phase: Saturation
% 4.01/1.57 % (812194)Time elapsed: 0.084 s
% 4.01/1.57 % (812194)Peak memory usage: 92 MB
% 4.01/1.57 % (812194)Instructions burned: 139 (million)
% 4.01/1.57 % (812203)lrs+10_1_sil=8000:sp=occurrence:random_seed=1775062485:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.01/1.57 % (812203)Instruction limit reached!
% 4.01/1.57 % (812203)------------------------------
% 4.01/1.57 % (812203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.57 % (812203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.57 % (812203)CaDiCaL version: 2.1.3
% 4.01/1.57 % (812203)Termination reason: Instruction limit
% 4.01/1.57 % (812203)Termination phase: Saturation
% 4.01/1.57 % (812203)Time elapsed: 0.100 s
% 4.01/1.57 % (812203)Peak memory usage: 95 MB
% 4.01/1.57 % (812203)Instructions burned: 285 (million)
% 4.01/1.57 % (812204)lrs+10_1_sil=32000:urr=on:br=off:random_seed=815470905:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.45/1.76 % (812205)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1710584532:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.45/1.76 % (812206)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=307294541:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.45/1.76 % (812206)First to succeed.
% 5.45/1.76 % (812206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-812184"
% 5.45/1.76 % (812208)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3811658541:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.45/1.76 % (812204)Instruction limit reached!
% 5.45/1.76 % (812204)------------------------------
% 5.45/1.76 % (812204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.76 % (812204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.76 % (812204)CaDiCaL version: 2.1.3
% 5.45/1.76 % (812204)Termination reason: Instruction limit
% 5.45/1.76 % (812204)Termination phase: Saturation
% 5.45/1.76 % (812204)Time elapsed: 0.098 s
% 5.45/1.76 % (812204)Peak memory usage: 91 MB
% 5.45/1.76 % (812204)Instructions burned: 157 (million)
% 5.45/1.76 % (812208)Also succeeded, but the first one will report.
% 5.45/1.76 % (812205)Instruction limit reached!
% 5.45/1.76 % (812205)------------------------------
% 5.45/1.76 % (812205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.76 % (812205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.76 % (812205)CaDiCaL version: 2.1.3
% 5.45/1.76 % (812205)Termination reason: Instruction limit
% 5.45/1.76 % (812205)Termination phase: Saturation
% 5.45/1.76 % (812205)Time elapsed: 0.220 s
% 5.45/1.76 % (812205)Peak memory usage: 95 MB
% 5.45/1.76 % (812205)Instructions burned: 325 (million)
% 5.45/1.76 % (812213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3488395548:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.45/1.76 % (812206)Refutation found. Thanks to Tanya!
% 5.45/1.76 % SZS status Theorem for theBenchmark
% 5.45/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 5.45/1.76 % (812206)------------------------------
% 5.45/1.76 % (812206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.76 % (812206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.76 % (812206)CaDiCaL version: 2.1.3
% 5.45/1.76 % (812206)Termination reason: Refutation
% 5.45/1.76 % (812206)Time elapsed: 0.056 s
% 5.45/1.76 % (812206)Peak memory usage: 92 MB
% 5.45/1.76 % (812206)Instructions burned: 91 (million)
% 5.45/1.76 % (812206)------------------------------
% 5.45/1.76 % (812206)------------------------------
% 5.45/1.76 % (812184)Success in time 0.71 s
% 5.45/1.76 % Vampire exiting
%------------------------------------------------------------------------------