%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:08:32 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.16s
% Output : Refutation 2.66s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeastLessThan__singleton_0) ).
fof(f3,axiom,
! [X2,X0,X1] : c_emptyset != c_insert(X0,X1,X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5,negated_conjecture,
! [X0] : v_x(X0) = v_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f6,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/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
% 0.00/0.03 % Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:23:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.16 % (3532515)Input is clausal, will run a generic CNF schedule.
% 2.66/1.16 % (3532653)lrs+10_1_sil=8000:sp=occurrence:random_seed=1627033905:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.16 % (3532653)First to succeed.
% 2.66/1.16 % (3532653)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3532515"
% 2.66/1.16 % (3532652)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3962732159:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.16 % (3532647)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=530585425:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.16 % (3532654)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3623213938:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.16 % (3532655)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4037388085:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.16 % (3532654)Refutation not found, incomplete strategy
% 2.66/1.16 % (3532654)------------------------------
% 2.66/1.16 % (3532654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.16 % (3532654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.16 % (3532654)CaDiCaL version: 2.1.3
% 2.66/1.16 % (3532654)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.16 % (3532654)Time elapsed: 0.001 s
% 2.66/1.16 % (3532654)Peak memory usage: 88 MB
% 2.66/1.16 % (3532655)Also succeeded, but the first one will report.
% 2.66/1.16 % (3532656)dis-21_1_sil=8000:lcm=predicate:random_seed=1770225210:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.66/1.16 % (3532656)Refutation not found, incomplete strategy
% 2.66/1.16 % (3532656)------------------------------
% 2.66/1.16 % (3532656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.16 % (3532656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.16 % (3532656)CaDiCaL version: 2.1.3
% 2.66/1.16 % (3532656)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.16 % (3532656)Time elapsed: 0.001 s
% 2.66/1.16 % (3532656)Peak memory usage: 88 MB
% 2.66/1.16 % (3532651)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=941964560:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.16 % (3532653)Refutation found. Thanks to Tanya!
% 2.66/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.16 % (3532653)------------------------------
% 2.66/1.16 % (3532653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.16 % (3532653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.16 % (3532653)CaDiCaL version: 2.1.3
% 2.66/1.16 % (3532653)Termination reason: Refutation
% 2.66/1.16 % (3532653)Time elapsed: 0.001 s
% 2.66/1.16 % (3532653)Peak memory usage: 88 MB
% 2.66/1.16 % (3532653)------------------------------
% 2.66/1.16 % (3532653)------------------------------
% 2.66/1.16 % (3532515)Success in time 0.283 s
% 2.66/1.16 % Vampire exiting
%------------------------------------------------------------------------------