%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW240+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:29:55 PM UTC 2026
% Result : Theorem 6.01s 1.72s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 17 unt; 3 def)
% Number of atoms : 81 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 30 ~; 25 |; 0 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Omonom(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__monom) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__mult) ).
fof(f10,axiom,
! [X0,X1] :
( class_Groups_Omonoid__mult(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__1__left) ).
fof(f1002,axiom,
! [X0] :
( class_Rings_Ocomm__ring__1(X0)
=> class_Rings_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__1) ).
fof(f1003,axiom,
! [X0] :
( class_Rings_Ocomm__ring__1(X0)
=> class_Rings_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__ring__1__Rings_Ocomm__semiring__0) ).
fof(f1007,axiom,
! [X0] :
( class_Rings_Ocomm__ring__1(X0)
=> class_Groups_Omonoid__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__ring__1__Groups_Omonoid__mult) ).
fof(f1196,conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1197,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(negated_conjecture,[status(cth)],[f1196]) ).
fof(f1198,axiom,
class_Rings_Ocomm__ring__1(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
fof(f1199,plain,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(flattening,[],[f1197]) ).
fof(f1306,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Omonom(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X1))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f1316,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f1470,plain,
! [X0] :
( class_Groups_Omonoid__mult(X0)
| ~ class_Rings_Ocomm__ring__1(X0) ),
inference(ennf_transformation,[],[f1007]) ).
fof(f1472,plain,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
| ~ class_Rings_Ocomm__ring__1(X0) ),
inference(ennf_transformation,[],[f1003]) ).
fof(f1473,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
| ~ class_Rings_Ocomm__ring__1(X0) ),
inference(ennf_transformation,[],[f1002]) ).
fof(f1921,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0
| ~ class_Groups_Omonoid__mult(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f2126,plain,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
inference(cnf_transformation,[],[f1199]) ).
fof(f2127,plain,
class_Rings_Ocomm__ring__1(t_a),
inference(cnf_transformation,[],[f1198]) ).
fof(f2321,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Omonom(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X1))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(cnf_transformation,[],[f1306]) ).
fof(f2333,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1316]) ).
fof(f2511,plain,
! [X0] :
( ~ class_Rings_Ocomm__ring__1(X0)
| class_Groups_Omonoid__mult(X0) ),
inference(cnf_transformation,[],[f1470]) ).
fof(f2513,plain,
! [X0] :
( ~ class_Rings_Ocomm__ring__1(X0)
| class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f1472]) ).
fof(f2514,plain,
! [X0] :
( ~ class_Rings_Ocomm__ring__1(X0)
| class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f1473]) ).
fof(f3110,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X0) = X0
| ~ class_Groups_Omonoid__mult(X1) ),
inference(cnf_transformation,[],[f1921]) ).
fof(f3257,definition,
~ sP7(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x)),
introduced(definition,[new_symbols(definition,[sP7])],[inequality_splitting_name_introduction]) ).
fof(f3258,plain,
sP7(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x))),
inference(inequality_splitting,[],[f2126,f3257]) ).
fof(f3401,plain,
( ~ sP7(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_x)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(superposition,[],[f3257,f2333]) ).
fof(f3403,definition,
( spl8_1
<=> class_Rings_Ocomm__semiring__0(t_a) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f3405,plain,
( ~ class_Rings_Ocomm__semiring__0(t_a)
| spl8_1 ),
inference(avatar_component_clause,[],[f3403]) ).
fof(f3407,definition,
( spl8_2
<=> sP7(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_x)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x))) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f3409,plain,
( ~ sP7(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_x)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)))
| spl8_2 ),
inference(avatar_component_clause,[],[f3407]) ).
fof(f3410,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f3401,f3407,f3403]) ).
fof(f3456,plain,
class_Groups_Omonoid__mult(t_a),
inference(resolution,[],[f2127,f2511]) ).
fof(f3458,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(resolution,[],[f2127,f2513]) ).
fof(f3459,plain,
class_Rings_Ocomm__semiring__1(t_a),
inference(resolution,[],[f2127,f2514]) ).
fof(f3462,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f3458,f3405]) ).
fof(f3463,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f3462]) ).
fof(f3464,plain,
( ~ sP7(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Oone__class_Oone(t_a)),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n))),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)))
| ~ class_Rings_Ocomm__semiring__1(t_a)
| spl8_2 ),
inference(superposition,[],[f3409,f2321]) ).
fof(f3467,plain,
( ~ sP7(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Oone__class_Oone(t_a)),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n))),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)))
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f3464,f3459]) ).
fof(f3468,plain,
( ~ sP7(hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)))
| ~ class_Groups_Omonoid__mult(t_a)
| spl8_2 ),
inference(superposition,[],[f3467,f3110]) ).
fof(f3479,plain,
( ~ class_Groups_Omonoid__mult(t_a)
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f3468,f3258]) ).
fof(f3482,plain,
( $false
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f3479,f3456]) ).
fof(f3483,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f3482]) ).
cnf(s1,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f3410]) ).
cnf(s6,plain,
spl8_1,
inference(sat_conversion,[],[f3463]) ).
cnf(s8,plain,
spl8_2,
inference(sat_conversion,[],[f3483]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s6]) ).
fof(f3484,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW240+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n010.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 13:23:02 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 6.01/1.72 % (1919636)Detected formulas, will run a generic FOF schedule.
% 6.01/1.72 % (1919642)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=4192407834:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.01/1.72 % (1919646)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=471465893:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.01/1.72 % (1919647)dis-21_1_sil=8000:lcm=predicate:random_seed=87280153: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)
% 6.01/1.72 % (1919645)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1094684822:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.01/1.72 % (1919641)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=3973446359:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.01/1.72 % (1919644)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1291520671:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.01/1.72 % (1919643)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=314637583:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.01/1.72 % (1919644)Refutation not found, incomplete strategy
% 6.01/1.72 % (1919644)------------------------------
% 6.01/1.72 % (1919644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919644)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919644)Termination reason: Refutation not found, incomplete strategy
% 6.01/1.72 % (1919644)Time elapsed: 0.011 s
% 6.01/1.72 % (1919644)Peak memory usage: 89 MB
% 6.01/1.72 % (1919644)Instructions burned: 16 (million)
% 6.01/1.72 % (1919647)Instruction limit reached!
% 6.01/1.72 % (1919647)------------------------------
% 6.01/1.72 % (1919647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919647)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919647)Termination reason: Instruction limit
% 6.01/1.72 % (1919647)Termination phase: Saturation
% 6.01/1.72 % (1919647)Time elapsed: 0.068 s
% 6.01/1.72 % (1919647)Peak memory usage: 91 MB
% 6.01/1.72 % (1919647)Instructions burned: 130 (million)
% 6.01/1.72 % (1919645)Instruction limit reached!
% 6.01/1.72 % (1919645)------------------------------
% 6.01/1.72 % (1919645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919645)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919645)Termination reason: Instruction limit
% 6.01/1.72 % (1919645)Termination phase: Saturation
% 6.01/1.72 % (1919645)Time elapsed: 0.069 s
% 6.01/1.72 % (1919645)Peak memory usage: 90 MB
% 6.01/1.72 % (1919645)Instructions burned: 120 (million)
% 6.01/1.72 % (1919646)Instruction limit reached!
% 6.01/1.72 % (1919646)------------------------------
% 6.01/1.72 % (1919646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919646)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919646)Termination reason: Instruction limit
% 6.01/1.72 % (1919646)Termination phase: Saturation
% 6.01/1.72 % (1919646)Time elapsed: 0.076 s
% 6.01/1.72 % (1919646)Peak memory usage: 91 MB
% 6.01/1.72 % (1919646)Instructions burned: 139 (million)
% 6.01/1.72 % (1919657)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3654415611:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.01/1.72 % (1919655)lrs+10_1_sil=8000:sp=occurrence:random_seed=3905817781:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.01/1.72 % (1919656)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3549957406:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.01/1.72 % (1919644)------------------------------
% 6.01/1.72 % (1919644)------------------------------
% 6.01/1.72 % (1919656)Instruction limit reached!
% 6.01/1.72 % (1919656)------------------------------
% 6.01/1.72 % (1919656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919656)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919656)Termination reason: Instruction limit
% 6.01/1.72 % (1919656)Termination phase: Saturation
% 6.01/1.72 % (1919656)Time elapsed: 0.089 s
% 6.01/1.72 % (1919656)Peak memory usage: 90 MB
% 6.01/1.72 % (1919656)Instructions burned: 157 (million)
% 6.01/1.72 % (1919655)Instruction limit reached!
% 6.01/1.72 % (1919655)------------------------------
% 6.01/1.72 % (1919655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919655)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919655)Termination reason: Instruction limit
% 6.01/1.72 % (1919655)Termination phase: Saturation
% 6.01/1.72 % (1919655)Time elapsed: 0.183 s
% 6.01/1.72 % (1919655)Peak memory usage: 92 MB
% 6.01/1.72 % (1919655)Instructions burned: 285 (million)
% 6.01/1.72 % (1919657)Instruction limit reached!
% 6.01/1.72 % (1919657)------------------------------
% 6.01/1.72 % (1919657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919657)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919657)Termination reason: Instruction limit
% 6.01/1.72 % (1919657)Termination phase: Saturation
% 6.01/1.72 % (1919657)Time elapsed: 0.190 s
% 6.01/1.72 % (1919657)Peak memory usage: 92 MB
% 6.01/1.72 % (1919657)Instructions burned: 325 (million)
% 6.01/1.72 % (1919661)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=49115850:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.01/1.72 % (1919662)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1876689279:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.01/1.72 % (1919662)First to succeed.
% 6.01/1.72 % (1919662)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1919636"
% 6.01/1.72 % (1919642)Also succeeded, but the first one will report.
% 6.01/1.72 % (1919663)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=84357455:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.01/1.72 % (1919664)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3128028597:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.01/1.72 % (1919661)Instruction limit reached!
% 6.01/1.72 % (1919661)------------------------------
% 6.01/1.72 % (1919661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919661)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919661)Termination reason: Instruction limit
% 6.01/1.72 % (1919661)Termination phase: Saturation
% 6.01/1.72 % (1919661)Time elapsed: 0.142 s
% 6.01/1.72 % (1919661)Peak memory usage: 92 MB
% 6.01/1.72 % (1919661)Instructions burned: 249 (million)
% 6.01/1.72 % (1919664)Instruction limit reached!
% 6.01/1.72 % (1919664)------------------------------
% 6.01/1.72 % (1919664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.72 % (1919664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.72 % (1919664)CaDiCaL version: 2.1.3
% 6.01/1.72 % (1919664)Termination reason: Instruction limit
% 6.01/1.72 % (1919664)Termination phase: Saturation
% 6.01/1.72 % (1919664)Time elapsed: 0.059 s
% 6.01/1.72 % (1919664)Peak memory usage: 90 MB
% 6.01/1.72 % (1919664)Instructions burned: 113 (million)
% 6.01/1.72 % (1919669)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=418049634:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.01/1.72 % (1919670)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1907072943:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.01/1.72 % (1919662)Refutation found. Thanks to Tanya!
% 6.01/1.72 % SZS status Theorem for theBenchmark
% 6.01/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.91 % (1919662)------------------------------
% 0.20/1.91 % (1919662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.91 % (1919662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.91 % (1919662)CaDiCaL version: 2.1.3
% 0.20/1.91 % (1919662)Termination reason: Refutation
% 0.20/1.91 % (1919662)Time elapsed: 0.046 s
% 0.20/1.91 % (1919662)Peak memory usage: 92 MB
% 0.20/1.91 % (1919662)Instructions burned: 84 (million)
% 0.20/1.91 % (1919662)------------------------------
% 0.20/1.91 % (1919662)------------------------------
% 0.20/1.91 % (1919636)Success in time 1.016 s
% 0.20/1.91 % Vampire exiting
%------------------------------------------------------------------------------