%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU382+2 : 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 : n012.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 12:48:38 PM UTC 2026
% Result : Theorem 2.52s 0.98s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 15 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,axiom,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow_1) ).
fof(f672,axiom,
! [X0] :
( the_carrier(incl_POSet(X0)) = X0
& the_InternalRel(incl_POSet(X0)) = inclusion_order(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_1) ).
fof(f777,conjecture,
! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f778,negated_conjecture,
~ ! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
inference(negated_conjecture,[status(cth)],[f777]) ).
fof(f781,axiom,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f1207,plain,
? [X0] : powerset(X0) != the_carrier(boole_POSet(X0)),
inference(ennf_transformation,[],[f778]) ).
fof(f2061,plain,
powerset(sK208) != the_carrier(boole_POSet(sK208)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK208]),skolemize(X0,sK208)],[f1207]) ).
fof(f2912,plain,
! [X0] : the_carrier(incl_POSet(X0)) = X0,
inference(cnf_transformation,[],[f672]) ).
fof(f3072,plain,
powerset(sK208) != the_carrier(boole_POSet(sK208)),
inference(cnf_transformation,[],[f2061]) ).
fof(f3076,plain,
! [X0] : boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf_transformation,[],[f781]) ).
fof(f3904,plain,
! [X0] : incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
inference(cnf_transformation,[],[f140]) ).
fof(f4632,plain,
! [X0] : boole_POSet(X0) = rel_str_of(powerset(X0),inclusion_order(powerset(X0))),
inference(definition_unfolding,[],[f3076,f3904]) ).
fof(f4757,plain,
! [X0] : the_carrier(rel_str_of(X0,inclusion_order(X0))) = X0,
inference(definition_unfolding,[],[f2912,f3904]) ).
fof(f4792,plain,
powerset(sK208) != the_carrier(rel_str_of(powerset(sK208),inclusion_order(powerset(sK208)))),
inference(definition_unfolding,[],[f3072,f4632]) ).
fof(f5702,plain,
powerset(sK208) != powerset(sK208),
inference(superposition,[],[f4792,f4757]) ).
fof(f5704,plain,
$false,
inference(trivial_inequality_removal,[],[f5702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU382+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 05:01:34 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.52/0.98 % (3028329)Detected formulas, will run a generic FOF schedule.
% 2.52/0.98 % (3028339)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1196748416:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.52/0.98 % (3028338)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=245082960:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.52/0.98 % (3028340)dis-21_1_sil=8000:lcm=predicate:random_seed=1402081979: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)
% 2.52/0.98 % (3028335)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=2420552092:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.52/0.98 % (3028334)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=1304519698:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.52/0.98 % (3028336)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=325207503:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.52/0.98 % (3028337)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1872335355:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.52/0.98 % (3028338)First to succeed.
% 2.52/0.98 % (3028338)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3028329"
% 2.52/0.98 % (3028337)Instruction limit reached!
% 2.52/0.98 % (3028337)------------------------------
% 2.52/0.98 % (3028337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.98 % (3028337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.98 % (3028337)CaDiCaL version: 2.1.3
% 2.52/0.98 % (3028337)Termination reason: Instruction limit
% 2.52/0.98 % (3028337)Termination phase: Blocked clause elimination
% 2.52/0.98 % (3028337)Time elapsed: 0.034 s
% 2.52/0.98 % (3028337)Peak memory usage: 90 MB
% 2.52/0.98 % (3028337)Instructions burned: 112 (million)
% 2.52/0.98 % (3028340)Instruction limit reached!
% 2.52/0.98 % (3028340)------------------------------
% 2.52/0.98 % (3028340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.98 % (3028340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.98 % (3028340)CaDiCaL version: 2.1.3
% 2.52/0.98 % (3028340)Termination reason: Instruction limit
% 2.52/0.98 % (3028340)Termination phase: Saturation
% 2.52/0.98 % (3028340)Time elapsed: 0.037 s
% 2.52/0.98 % (3028340)Peak memory usage: 92 MB
% 2.52/0.98 % (3028340)Instructions burned: 131 (million)
% 2.52/0.98 % (3028339)Instruction limit reached!
% 2.52/0.98 % (3028339)------------------------------
% 2.52/0.98 % (3028339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.98 % (3028339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.98 % (3028339)CaDiCaL version: 2.1.3
% 2.52/0.98 % (3028339)Termination reason: Instruction limit
% 2.52/0.98 % (3028339)Termination phase: Saturation
% 2.52/0.98 % (3028339)Time elapsed: 0.044 s
% 2.52/0.98 % (3028339)Peak memory usage: 92 MB
% 2.52/0.98 % (3028339)Instructions burned: 140 (million)
% 2.52/0.98 % (3028348)lrs+10_1_sil=8000:sp=occurrence:random_seed=464988375:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.52/0.98 % (3028349)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3531559462:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.52/0.98 % (3028349)Refutation not found, incomplete strategy
% 2.52/0.98 % (3028349)------------------------------
% 2.52/0.98 % (3028349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.98 % (3028349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.98 % (3028349)CaDiCaL version: 2.1.3
% 2.52/0.98 % (3028349)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.98 % (3028349)Time elapsed: 0.004 s
% 2.52/0.98 % (3028349)Peak memory usage: 89 MB
% 2.52/0.98 % (3028349)Instructions burned: 12 (million)
% 2.52/0.98 % (3028350)lrs+1011_1_sil=32000:sp=occurrence:random_seed=887503494:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 2.52/0.98 % (3028338)Refutation found. Thanks to Tanya!
% 2.52/0.98 % SZS status Theorem for theBenchmark
% 2.52/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.98 % (3028338)------------------------------
% 2.52/0.98 % (3028338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.98 % (3028338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.98 % (3028338)CaDiCaL version: 2.1.3
% 2.52/0.98 % (3028338)Termination reason: Refutation
% 2.52/0.98 % (3028338)Time elapsed: 0.032 s
% 2.52/0.98 % (3028338)Peak memory usage: 92 MB
% 2.52/0.98 % (3028338)Instructions burned: 103 (million)
% 2.52/0.98 % (3028338)------------------------------
% 2.52/0.98 % (3028338)------------------------------
% 2.52/0.98 % (3028329)Success in time 0.342 s
% 2.52/0.98 % Vampire exiting
%------------------------------------------------------------------------------