%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU306+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:48:15 PM UTC 2026
% Result : Theorem 2.43s 1.30s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 1 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 5 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f40,conjecture,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f44,plain,
? [X0] :
( cast_as_carrier_subset(X0) != the_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f45,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f46,plain,
( cast_as_carrier_subset(sK0) != the_carrier(sK0)
& one_sorted_str(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f44]) ).
fof(f48,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f49,plain,
cast_as_carrier_subset(sK0) != the_carrier(sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f50,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f52,definition,
~ sP2(cast_as_carrier_subset(sK0)),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f53,plain,
sP2(the_carrier(sK0)),
inference(inequality_splitting,[],[f49,f52]) ).
fof(f54,plain,
( sP2(cast_as_carrier_subset(sK0))
| ~ one_sorted_str(sK0) ),
inference(superposition,[],[f53,f50]) ).
fof(f55,plain,
~ one_sorted_str(sK0),
inference(forward_subsumption_resolution,[],[f54,f52]) ).
fof(f56,plain,
$false,
inference(forward_subsumption_resolution,[],[f55,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU306+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 04:37:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 2.43/1.30 % (3584081)Detected formulas, will run a generic FOF schedule.
% 2.43/1.30 % (3584089)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2798196195:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.43/1.30 % (3584089)First to succeed.
% 2.43/1.30 % (3584089)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3584081"
% 2.43/1.30 % (3584090)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4151218122:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.43/1.30 % (3584092)dis-21_1_sil=8000:lcm=predicate:random_seed=2367947127: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)
% 2.43/1.30 % (3584088)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=869085810:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.43/1.30 % (3584086)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=3493903733:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.43/1.30 % (3584087)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=409957836:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.43/1.30 % (3584091)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2885597590:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.43/1.30 % (3584090)Also succeeded, but the first one will report.
% 2.43/1.30 % (3584091)Also succeeded, but the first one will report.
% 2.43/1.30 % (3584092)Also succeeded, but the first one will report.
% 2.43/1.30 % (3584089)Refutation found. Thanks to Tanya!
% 2.43/1.30 % SZS status Theorem for theBenchmark
% 2.43/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/1.30 % (3584089)------------------------------
% 2.43/1.30 % (3584089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.43/1.30 % (3584089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/1.30 % (3584089)CaDiCaL version: 2.1.3
% 2.43/1.30 % (3584089)Termination reason: Refutation
% 2.43/1.30 % (3584089)Time elapsed: 0.001 s
% 2.43/1.30 % (3584089)Peak memory usage: 88 MB
% 2.43/1.30 % (3584089)------------------------------
% 2.43/1.30 % (3584089)------------------------------
% 2.43/1.30 % (3584081)Success in time 0.268 s
% 2.55/1.30 % Vampire exiting
%------------------------------------------------------------------------------