%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 01:26:35 PM UTC 2026
% Result : Unsatisfiable 0.40s 0.29s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f493,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f501,axiom,
! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f523,axiom,
! [X2,X0,X1] :
( c_Set_Oinsert(X0,X1,X2) = X1
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f526,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
fof(f532,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f533,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f534,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f830,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_in(X0,X3,X2) ),
inference(consistent_polarity_flipping,[],[f458]) ).
fof(f849,plain,
! [X0,X1] : ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(consistent_polarity_flipping,[],[f493]) ).
fof(f855,plain,
! [X2,X0,X1] : ~ c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
inference(consistent_polarity_flipping,[],[f501]) ).
fof(f869,plain,
! [X2,X0,X1] :
( c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(consistent_polarity_flipping,[],[f523]) ).
fof(f871,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| c_in(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f526]) ).
fof(f877,plain,
~ c_in(v_pn,v_U,tc_Com_Opname),
inference(consistent_polarity_flipping,[],[f533]) ).
fof(f878,plain,
c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(consistent_polarity_flipping,[],[f534]) ).
fof(f891,plain,
c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(forward_demodulation,[],[f878,f532]) ).
fof(f1768,plain,
! [X0] :
( ~ c_in(hAPP(v_mgt__call,X0),v_G,t_a)
| c_in(X0,v_U,tc_Com_Opname) ),
inference(superposition,[],[f871,f532]) ).
fof(f1771,plain,
! [X0] :
( c_in(X0,v_U,tc_Com_Opname)
| v_G = c_Set_Oinsert(hAPP(v_mgt__call,X0),v_G,t_a) ),
inference(resolution,[],[f1768,f869]) ).
fof(f1772,plain,
v_G = c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(resolution,[],[f1771,f877]) ).
fof(f1789,plain,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(superposition,[],[f855,f1772]) ).
fof(f3323,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool))
| c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(resolution,[],[f830,f891]) ).
fof(f3352,plain,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(forward_subsumption_resolution,[],[f3323,f849]) ).
fof(f3353,plain,
$false,
inference(forward_subsumption_resolution,[],[f3352,f1789]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.16 % Computer : n019.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 12:48:04 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.29 % (3976744)Will run a generic schedule for satisfiability detection.
% 0.40/0.29 % (3976750)% WARNING: option uhcvi not known.
% 0.40/0.29 % (3976750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1458347965:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.29 % (3976749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4036658419_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.29 % (3976753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2007544703:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.29 % (3976751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3460714042:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.29 % (3976752)dis+10_1_sil=32000:sp=arity:random_seed=912012957:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.29 % (3976754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2020929444:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.29 % (3976755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=871840490:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.29 % (3976750) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3976744-3976750"...
% 0.40/0.29 % (3976750)...printing done.
% 0.40/0.29 % (3976750)Refutation found. Thanks to Tanya!
% 0.40/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.40/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.29 % (3976750)------------------------------
% 0.40/0.29 % (3976750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.29 % (3976750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.29 % (3976750)CaDiCaL version: 2.1.3
% 0.40/0.29 % (3976750)Termination reason: Refutation
% 0.40/0.29 % (3976750)Time elapsed: 0.049 s
% 0.40/0.29 % (3976750)Peak memory usage: 13 MB
% 0.40/0.29 % (3976750)Instructions burned: 129 (million)
% 0.40/0.29 % (3976744)Success in time 0.088 s
% 0.40/0.29 % Vampire exiting
%------------------------------------------------------------------------------