%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV138+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:08:13 PM UTC 2026
% Result : Theorem 2.71s 1.17s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 66 ( 17 ~; 10 |; 35 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f53,conjecture,
( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0008) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f87,plain,
( ~ leq(n0,pv1325)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( ~ leq(n0,pv1325)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) ),
inference(flattening,[],[f87]) ).
fof(f91,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f96,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f97,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f96]) ).
fof(f113,plain,
leq(n2,pv1325),
inference(cnf_transformation,[],[f88]) ).
fof(f117,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[],[f88]) ).
fof(f119,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f124,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f129,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f241,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pv1325) ),
inference(resolution,[],[f124,f117]) ).
fof(f260,plain,
! [X0] :
( ~ leq(X0,pv1325)
| ~ gt(X0,n0) ),
inference(resolution,[],[f241,f119]) ).
fof(f320,plain,
~ gt(n2,n0),
inference(resolution,[],[f260,f113]) ).
fof(f324,plain,
$false,
inference(forward_subsumption_resolution,[],[f320,f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV138+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n003.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:01:42 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.71/1.17 % (1481881)Detected formulas, will run a generic FOF schedule.
% 2.71/1.17 % (1481890)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2254369744:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.71/1.17 % (1481890)First to succeed.
% 2.71/1.17 % (1481890)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1481881"
% 2.71/1.17 % (1481888)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=3545716601:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.71/1.17 % (1481891)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4055961915:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.71/1.17 % (1481892)dis-21_1_sil=8000:lcm=predicate:random_seed=1473786317: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)
% 2.71/1.17 % (1481886)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=2845188163:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.71/1.17 % (1481889)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2076971189:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.71/1.17 % (1481887)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=2294880870:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.71/1.17 % (1481892)Also succeeded, but the first one will report.
% 2.71/1.17 % (1481891)Also succeeded, but the first one will report.
% 2.71/1.17 % (1481889)Instruction limit reached!
% 2.71/1.17 % (1481889)------------------------------
% 2.71/1.17 % (1481889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.17 % (1481889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.17 % (1481889)CaDiCaL version: 2.1.3
% 2.71/1.17 % (1481889)Termination reason: Instruction limit
% 2.71/1.17 % (1481889)Termination phase: Saturation
% 2.71/1.17 % (1481889)Time elapsed: 0.070 s
% 2.71/1.17 % (1481889)Peak memory usage: 89 MB
% 2.71/1.17 % (1481889)Instructions burned: 109 (million)
% 2.71/1.17 % (1481890)Refutation found. Thanks to Tanya!
% 2.71/1.17 % SZS status Theorem for theBenchmark
% 2.71/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.17 % (1481890)------------------------------
% 2.71/1.17 % (1481890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.17 % (1481890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.17 % (1481890)CaDiCaL version: 2.1.3
% 2.71/1.17 % (1481890)Termination reason: Refutation
% 2.71/1.17 % (1481890)Time elapsed: 0.003 s
% 2.71/1.17 % (1481890)Peak memory usage: 88 MB
% 2.71/1.17 % (1481890)Instructions burned: 7 (million)
% 2.71/1.17 % (1481890)------------------------------
% 2.71/1.17 % (1481890)------------------------------
% 2.71/1.17 % (1481881)Success in time 0.293 s
% 2.71/1.17 % Vampire exiting
%------------------------------------------------------------------------------