%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET840-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:44:46 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 38 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 19 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
! [X0] :
( c_lessequals(c_Union(v_S,t_b),X0,tc_set(t_b))
| ~ c_in(X0,v_S,tc_set(t_b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| ~ c_in(X1,X3,tc_set(X2))
| c_in(X0,c_Union(X3,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f5,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f8,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
! [X0] : c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b)),
inference(resolution,[],[f7,f1]) ).
fof(f12,plain,
! [X0] : ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(resolution,[],[f8,f1]) ).
fof(f16,plain,
! [X0] :
( ~ c_lessequals(X0,c_Union(v_S,t_b),tc_set(t_b))
| c_Union(v_S,t_b) = X0
| ~ c_in(X0,v_S,tc_set(t_b)) ),
inference(resolution,[],[f10,f2]) ).
fof(f27,plain,
! [X0,X1] :
( ~ c_in(X1,c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),t_b)
| c_in(X1,c_Union(v_S,t_b),t_b) ),
inference(resolution,[],[f3,f11]) ).
fof(f32,plain,
! [X0] :
( c_Union(v_S,t_b) = X0
| ~ c_in(X0,v_S,tc_set(t_b))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Union(v_S,t_b),t_b),c_Union(v_S,t_b),t_b) ),
inference(resolution,[],[f16,f8]) ).
fof(f33,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(X0,c_Union(v_S,t_b),t_b),X0,t_b)
| ~ c_in(X0,v_S,tc_set(t_b))
| c_Union(v_S,t_b) = X0 ),
inference(resolution,[],[f16,f7]) ).
fof(f43,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b))
| c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b))
| c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),t_b),c_Union(v_S,t_b),t_b) ),
inference(resolution,[],[f33,f27]) ).
fof(f44,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b))
| c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)) ),
inference(forward_subsumption_resolution,[],[f43,f32]) ).
fof(f45,plain,
! [X0] : c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(forward_subsumption_resolution,[],[f44,f11]) ).
fof(f51,plain,
! [X0] : ~ c_in(c_Union(v_S,t_b),c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(superposition,[],[f12,f45]) ).
fof(f95,plain,
$false,
inference(resolution,[],[f51,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET840-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n015.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 03:01:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (2216438)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (2216447)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3264798825:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (2216447) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2216438-2216447"...
% 0.10/0.44 % (2216447)...printing done.
% 0.10/0.44 % (2216447)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (2216447)------------------------------
% 0.10/0.44 % (2216447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (2216447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (2216447)CaDiCaL version: 2.1.3
% 0.10/0.44 % (2216447)Termination reason: Refutation
% 0.10/0.44 % (2216447)Time elapsed: 0.003 s
% 0.10/0.44 % (2216447)Peak memory usage: 11 MB
% 0.10/0.44 % (2216447)Instructions burned: 7 (million)
% 0.10/0.44 % (2216438)Success in time 0.029 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------