%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW271+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 : n013.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 01:29:59 PM UTC 2026
% Result : Theorem 8.13s 2.01s
% Output : Refutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 15 unt; 2 def)
% Number of atoms : 64 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 22 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 21 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_091_058_N_Aa_M_A1_058_093_Advd_Aq_096) ).
fof(f910,axiom,
! [X0,X1,X2] :
( class_Divides_Osemiring__div(X2)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__mult__div__cancel) ).
fof(f1140,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(f1177,axiom,
! [X0] :
( class_Fields_Ofield(X0)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(f1208,axiom,
( ? [X0] : v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)
=> v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1209,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1210,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1209]) ).
fof(f1211,plain,
~ v_thesis____,
inference(flattening,[],[f1210]) ).
fof(f1234,plain,
( v_thesis____
| ! [X0] : v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) ),
inference(ennf_transformation,[],[f1208]) ).
fof(f1723,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(ennf_transformation,[],[f910]) ).
fof(f1724,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(flattening,[],[f1723]) ).
fof(f1797,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(ennf_transformation,[],[f1177]) ).
fof(f2219,plain,
! [X0] :
( v_thesis____
| v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) ),
inference(cnf_transformation,[],[f1234]) ).
fof(f2220,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1211]) ).
fof(f2397,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_qa____)),
inference(cnf_transformation,[],[f3]) ).
fof(f2401,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1140]) ).
fof(f2999,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)) = X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X2),X1),X0))
| ~ class_Divides_Osemiring__div(X2) ),
inference(cnf_transformation,[],[f1724]) ).
fof(f3082,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(cnf_transformation,[],[f1797]) ).
fof(f3608,plain,
! [X0] : v_qa____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0),
inference(forward_subsumption_resolution,[],[f2219,f2220]) ).
fof(f3619,plain,
! [X0] :
( v_qa____ != X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0))
| ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[],[f3608,f2999]) ).
fof(f3621,definition,
( spl29_1
<=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f3623,plain,
( ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl29_1 ),
inference(avatar_component_clause,[],[f3621]) ).
fof(f3625,definition,
( spl29_2
<=> ! [X0] :
( v_qa____ != X0
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f3626,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0))
| v_qa____ != X0 )
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f3627,plain,
( ~ spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f3619,f3625,f3621]) ).
fof(f3664,plain,
( ~ class_Fields_Ofield(tc_Complex_Ocomplex)
| spl29_1 ),
inference(resolution,[],[f3623,f3082]) ).
fof(f3665,plain,
( $false
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f3664,f2401]) ).
fof(f3666,plain,
spl29_1,
inference(avatar_contradiction_clause,[],[f3665]) ).
fof(f3954,plain,
( v_qa____ != v_qa____
| ~ spl29_2 ),
inference(resolution,[],[f3626,f2397]) ).
fof(f3977,plain,
( $false
| ~ spl29_2 ),
inference(trivial_inequality_removal,[],[f3954]) ).
fof(f3978,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f3977]) ).
cnf(s1,plain,
( ~ spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f3627]) ).
cnf(s10,plain,
spl29_1,
inference(sat_conversion,[],[f3666]) ).
cnf(s23,plain,
~ spl29_2,
inference(sat_conversion,[],[f3978]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s1,s23,s10]) ).
fof(f4100,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW271+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n013.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 13:28:16 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 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
% 3.91/1.81 % (1176997)Detected formulas, will run a generic FOF schedule.
% 3.91/1.81 % (1177003)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=1720038322:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.91/1.81 % (1177006)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1265220013:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.91/1.81 % (1177002)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=814840312:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.91/1.81 % (1177004)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=3052277441:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.91/1.81 % (1177007)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2595367162:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.91/1.81 % (1177005)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3481145485:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.91/1.81 % (1177008)dis-21_1_sil=8000:lcm=predicate:random_seed=465988916: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)
% 3.91/1.81 % (1177005)Refutation not found, incomplete strategy
% 3.91/1.81 % (1177005)------------------------------
% 3.91/1.81 % (1177005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177005)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177005)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.81 % (1177005)Time elapsed: 0.010 s
% 3.91/1.81 % (1177005)Peak memory usage: 89 MB
% 3.91/1.81 % (1177005)Instructions burned: 14 (million)
% 3.91/1.81 % (1177008)Instruction limit reached!
% 3.91/1.81 % (1177008)------------------------------
% 3.91/1.81 % (1177008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177008)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177008)Termination reason: Instruction limit
% 3.91/1.81 % (1177008)Termination phase: Saturation
% 3.91/1.81 % (1177008)Time elapsed: 0.067 s
% 3.91/1.81 % (1177008)Peak memory usage: 91 MB
% 3.91/1.81 % (1177008)Instructions burned: 131 (million)
% 3.91/1.81 % (1177006)Instruction limit reached!
% 3.91/1.81 % (1177006)------------------------------
% 3.91/1.81 % (1177006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177006)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177006)Termination reason: Instruction limit
% 3.91/1.81 % (1177006)Termination phase: Saturation
% 3.91/1.81 % (1177006)Time elapsed: 0.070 s
% 3.91/1.81 % (1177006)Peak memory usage: 90 MB
% 3.91/1.81 % (1177006)Instructions burned: 119 (million)
% 3.91/1.81 % (1177007)Instruction limit reached!
% 3.91/1.81 % (1177007)------------------------------
% 3.91/1.81 % (1177007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177007)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177007)Termination reason: Instruction limit
% 3.91/1.81 % (1177007)Termination phase: Saturation
% 3.91/1.81 % (1177007)Time elapsed: 0.076 s
% 3.91/1.81 % (1177007)Peak memory usage: 91 MB
% 3.91/1.81 % (1177007)Instructions burned: 139 (million)
% 3.91/1.81 % (1177017)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3189986314:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.91/1.81 % (1177016)lrs+10_1_sil=8000:sp=occurrence:random_seed=931648142:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.91/1.81 % (1177017)Refutation not found, incomplete strategy
% 3.91/1.81 % (1177017)------------------------------
% 3.91/1.81 % (1177017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177017)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177017)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.81 % (1177017)Time elapsed: 0.010 s
% 3.91/1.81 % (1177017)Peak memory usage: 89 MB
% 3.91/1.81 % (1177017)Instructions burned: 18 (million)
% 3.91/1.81 % (1177018)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4177213268:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.91/1.81 % (1177005)------------------------------
% 3.91/1.81 % (1177005)------------------------------
% 3.91/1.81 % (1177016)Instruction limit reached!
% 3.91/1.81 % (1177016)------------------------------
% 3.91/1.81 % (1177016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177016)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177016)Termination reason: Instruction limit
% 3.91/1.81 % (1177016)Termination phase: Saturation
% 3.91/1.81 % (1177016)Time elapsed: 0.180 s
% 3.91/1.81 % (1177016)Peak memory usage: 92 MB
% 3.91/1.81 % (1177016)Instructions burned: 286 (million)
% 3.91/1.81 % (1177018)Instruction limit reached!
% 3.91/1.81 % (1177018)------------------------------
% 3.91/1.81 % (1177018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177018)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177018)Termination reason: Instruction limit
% 3.91/1.81 % (1177018)Termination phase: Saturation
% 3.91/1.81 % (1177018)Time elapsed: 0.181 s
% 3.91/1.81 % (1177018)Peak memory usage: 91 MB
% 3.91/1.81 % (1177018)Instructions burned: 325 (million)
% 3.91/1.81 % (1177022)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=1772527096:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.91/1.81 % (1177017)------------------------------
% 3.91/1.81 % (1177017)------------------------------
% 3.91/1.81 % (1177022)Instruction limit reached!
% 3.91/1.81 % (1177022)------------------------------
% 3.91/1.81 % (1177022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177022)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177022)Termination reason: Instruction limit
% 3.91/1.81 % (1177022)Termination phase: Saturation
% 3.91/1.81 % (1177022)Time elapsed: 0.122 s
% 3.91/1.81 % (1177022)Peak memory usage: 93 MB
% 3.91/1.81 % (1177022)Instructions burned: 249 (million)
% 3.91/1.81 % (1177023)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4164512586:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 3.91/1.81 % (1177024)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=218942872:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 3.91/1.81 % (1177026)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1293109760:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 3.91/1.81 % (1177023)First to succeed.
% 3.91/1.81 % (1177023)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1176997"
% 3.91/1.81 % (1177026)Instruction limit reached!
% 3.91/1.81 % (1177026)------------------------------
% 3.91/1.81 % (1177026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177026)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177026)Termination reason: Instruction limit
% 3.91/1.81 % (1177026)Termination phase: Saturation
% 3.91/1.81 % (1177026)Time elapsed: 0.058 s
% 3.91/1.81 % (1177026)Peak memory usage: 90 MB
% 3.91/1.81 % (1177026)Instructions burned: 115 (million)
% 3.91/1.81 % (1177028)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1123507162:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 3.91/1.81 % (1177003)Also succeeded, but the first one will report.
% 3.91/1.81 % (1177028)Refutation not found, incomplete strategy
% 3.91/1.81 % (1177028)------------------------------
% 3.91/1.81 % (1177028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.81 % (1177028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.81 % (1177028)CaDiCaL version: 2.1.3
% 3.91/1.81 % (1177028)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.81 % (1177028)Time elapsed: 0.062 s
% 3.91/1.81 % (1177028)Peak memory usage: 90 MB
% 3.91/1.81 % (1177028)Instructions burned: 126 (million)
% 3.91/1.81 % (1177004)Also succeeded, but the first one will report.
% 8.13/2.01 % (1177031)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=515334523:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 8.13/2.01 % (1177023)Refutation found. Thanks to Tanya!
% 8.13/2.01 % SZS status Theorem for theBenchmark
% 8.13/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 8.13/2.01 % (1177023)------------------------------
% 8.13/2.01 % (1177023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.01 % (1177023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.01 % (1177023)CaDiCaL version: 2.1.3
% 8.13/2.01 % (1177023)Termination reason: Refutation
% 8.13/2.01 % (1177023)Time elapsed: 0.064 s
% 8.13/2.01 % (1177023)Peak memory usage: 92 MB
% 8.13/2.01 % (1177023)Instructions burned: 114 (million)
% 8.13/2.01 % (1177023)------------------------------
% 8.13/2.01 % (1177023)------------------------------
% 8.13/2.01 % (1176997)Success in time 1.116 s
% 8.13/2.01 % Vampire exiting
%------------------------------------------------------------------------------