%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV254-2 : 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 : n004.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 01:20:36 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 14 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeastLessThan__empty_0) ).
fof(f2,axiom,
! [X0] : c_SetInterval_OatLeastLessThan(X0,c_Suc(X0),tc_nat) = c_insert(X0,c_emptyset,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeastLessThan__singleton_0) ).
fof(f3,axiom,
! [X2,X0,X1] : c_emptyset != c_insert(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__not__insert_0) ).
fof(f4,negated_conjecture,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5,negated_conjecture,
! [X0] : v_x(X0) = v_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f6,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f7,plain,
! [X0] : c_lessequals(X0,v_nat,tc_nat),
inference(definition_unfolding,[],[f4,f5]) ).
fof(f8,plain,
! [X0] :
( ~ class_Orderings_Oorder(tc_nat)
| c_emptyset = c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat) ),
inference(resolution,[],[f1,f7]) ).
fof(f9,plain,
! [X0] : c_emptyset = c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat),
inference(forward_subsumption_resolution,[],[f8,f6]) ).
fof(f11,plain,
c_emptyset = c_insert(v_nat,c_emptyset,tc_nat),
inference(superposition,[],[f2,f9]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f11,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 10:18:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (262388)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (262397)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1332221501:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (262397) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-262388-262397"...
% 0.09/0.26 % (262397)...printing done.
% 0.09/0.26 % (262397)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (262397)------------------------------
% 0.09/0.26 % (262397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (262397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (262397)CaDiCaL version: 2.1.3
% 0.09/0.26 % (262397)Termination reason: Refutation
% 0.09/0.26 % (262397)Time elapsed: 0.001 s
% 0.09/0.26 % (262397)Peak memory usage: 11 MB
% 0.09/0.26 % (262388)Success in time 0.028 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------