%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG346-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:19:50 AM UTC 2026
% Result : Unsatisfiable 4.46s 1.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 18 unt; 2 def)
% Number of atoms : 93 ( 31 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 87 ( 43 ~; 42 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f575,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
| ~ c_lessequals(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__Suc__eq__le_1) ).
fof(f1131,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_Polynomial_Odegree(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X0) = c_Polynomial_Odegree(X2,X0)
| ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_degree__add__eq__right_0) ).
fof(f1132,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X0)),X0)
| ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,X0),c_Polynomial_Odegree(X2,X0),tc_nat) ),
inference(reorient_equations,[],[f1131]) ).
fof(f1170,axiom,
! [X2,X0,X1] :
( c_lessequals(c_Polynomial_Odegree(c_Polynomial_Osmult(X1,X2,X0),X0),c_Polynomial_Odegree(X2,X0),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_degree__smult__le_0) ).
fof(f1283,axiom,
! [X2,X3,X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X0),X0),c_Polynomial_OpCons(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X0),X0),tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_offset__poly__pCons_0) ).
fof(f1326,axiom,
! [X2,X0,X1] :
( ~ class_HOL_Ozero(X0)
| c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_degree__pCons__eq_0) ).
fof(f1327,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
| ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2 ),
inference(reorient_equations,[],[f1326]) ).
fof(f1332,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_offset__poly__eq__0__iff_0) ).
fof(f1333,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X1 ),
inference(reorient_equations,[],[f1332]) ).
fof(f1342,negated_conjecture,
class_Ring__and__Field_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f1343,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a) = c_Polynomial_Odegree(v_pa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1344,negated_conjecture,
v_pa != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1345,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(v_a,v_pa,t_a),v_h,t_a),t_a) != c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,v_pa,t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1349,axiom,
! [X0] :
( class_OrderedGroup_Ocomm__monoid__add(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ocomm__semiring__0_OrderedGroup_Ocomm__monoid__add) ).
fof(f1354,axiom,
! [X0] :
( class_HOL_Ozero(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero) ).
fof(f1475,plain,
! [X2,X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(X0,X1,t_a),X2,t_a) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,t_a),t_a),c_Polynomial_OpCons(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,t_a),t_a),tc_Polynomial_Opoly(t_a)),
inference(unit_resulting_resolution,[],[f1283,f1342]) ).
fof(f1484,plain,
class_OrderedGroup_Ocomm__monoid__add(t_a),
inference(unit_resulting_resolution,[],[f1349,f1342]) ).
fof(f1485,plain,
class_HOL_Ozero(t_a),
inference(unit_resulting_resolution,[],[f1354,f1342]) ).
fof(f1487,plain,
c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,v_pa,t_a),t_a) != c_Polynomial_Odegree(c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),tc_Polynomial_Opoly(t_a)),t_a),
inference(backward_demodulation,[],[f1345,f1475]) ).
fof(f1502,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,X0,t_a),
inference(unit_resulting_resolution,[],[f1333,f1342,f1344]) ).
fof(f1579,plain,
! [X0] : c_Polynomial_Odegree(c_Polynomial_OpCons(X0,v_pa,t_a),t_a) = c_Suc(c_Polynomial_Odegree(v_pa,t_a)),
inference(unit_resulting_resolution,[],[f1327,f1344,f1485]) ).
fof(f1620,plain,
c_Polynomial_Odegree(c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),tc_Polynomial_Opoly(t_a)),t_a) != c_Suc(c_Polynomial_Odegree(v_pa,t_a)),
inference(backward_demodulation,[],[f1487,f1579]) ).
fof(f1628,plain,
! [X0] :
( c_lessequals(c_Polynomial_Odegree(c_Polynomial_Osmult(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Polynomial_Odegree(v_pa,t_a),tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__0(t_a) ),
inference(superposition,[],[f1170,f1343]) ).
fof(f1633,plain,
! [X0] : c_lessequals(c_Polynomial_Odegree(c_Polynomial_Osmult(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Polynomial_Odegree(v_pa,t_a),tc_nat),
inference(forward_subsumption_resolution,[],[f1628,f1342]) ).
fof(f1719,plain,
( c_Suc(c_Polynomial_Odegree(v_pa,t_a)) != c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a)
| ~ class_OrderedGroup_Ocomm__monoid__add(t_a)
| ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),tc_nat) ),
inference(superposition,[],[f1620,f1132]) ).
fof(f1720,plain,
( c_Suc(c_Polynomial_Odegree(v_pa,t_a)) != c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a)
| ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),tc_nat) ),
inference(forward_subsumption_resolution,[],[f1719,f1484]) ).
fof(f1723,definition,
( spl0_1
<=> c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1725,plain,
( ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),tc_nat)
| spl0_1 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1727,definition,
( spl0_2
<=> c_Suc(c_Polynomial_Odegree(v_pa,t_a)) = c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1729,plain,
( c_Suc(c_Polynomial_Odegree(v_pa,t_a)) != c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1730,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1720,f1727,f1723]) ).
fof(f1783,plain,
( ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a)),tc_nat)
| ~ class_HOL_Ozero(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl0_1 ),
inference(superposition,[],[f1725,f1327]) ).
fof(f1784,plain,
( ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a)),tc_nat)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1783,f1485]) ).
fof(f1791,plain,
( ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a)),tc_nat)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1784,f1502]) ).
fof(f1793,plain,
( ~ c_HOL_Oord__class_Oless(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Suc(c_Polynomial_Odegree(v_pa,t_a)),tc_nat)
| spl0_1 ),
inference(forward_demodulation,[],[f1791,f1343]) ).
fof(f1796,plain,
( ~ c_lessequals(c_Polynomial_Odegree(c_Polynomial_Osmult(v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a),c_Polynomial_Odegree(v_pa,t_a),tc_nat)
| spl0_1 ),
inference(unit_resulting_resolution,[],[f575,f1793]) ).
fof(f1824,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1796,f1633]) ).
fof(f1825,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1859,plain,
( c_Suc(c_Polynomial_Odegree(v_pa,t_a)) != c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a))
| ~ class_HOL_Ozero(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl0_2 ),
inference(superposition,[],[f1729,f1327]) ).
fof(f1860,plain,
( c_Suc(c_Polynomial_Odegree(v_pa,t_a)) != c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1859,f1485]) ).
fof(f1861,plain,
( c_Suc(c_Polynomial_Odegree(v_pa,t_a)) != c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1860,f1502]) ).
fof(f1862,plain,
( c_Suc(c_Polynomial_Odegree(v_pa,t_a)) != c_Suc(c_Polynomial_Odegree(v_pa,t_a))
| spl0_2 ),
inference(forward_demodulation,[],[f1861,f1343]) ).
fof(f1863,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f1862]) ).
fof(f1864,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1863]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f1825]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f1864]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f1865,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG346-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:08:15 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 4.46/1.41 % (2123326)Input is clausal, will run a generic CNF schedule.
% 4.46/1.41 % (2123337)dis-21_1_sil=8000:lcm=predicate:random_seed=1750349527: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)
% 4.46/1.41 % (2123337)Instruction limit reached!
% 4.46/1.41 % (2123337)------------------------------
% 4.46/1.41 % (2123337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123337)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123337)Termination reason: Instruction limit
% 4.46/1.41 % (2123337)Termination phase: Saturation
% 4.46/1.41 % (2123337)Time elapsed: 0.038 s
% 4.46/1.41 % (2123337)Peak memory usage: 90 MB
% 4.46/1.41 % (2123337)Instructions burned: 119 (million)
% 4.46/1.41 % (2123334)lrs+10_1_sil=8000:sp=occurrence:random_seed=2422717191:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.46/1.41 % (2123335)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3384019752:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.46/1.41 % (2123333)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=505536226:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.46/1.41 % (2123332)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3540510664:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.46/1.41 % (2123331)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=1373162979:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.46/1.41 % (2123336)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3558475474:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.46/1.41 % (2123334)Instruction limit reached!
% 4.46/1.41 % (2123334)------------------------------
% 4.46/1.41 % (2123334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123334)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123334)Termination reason: Instruction limit
% 4.46/1.41 % (2123334)Termination phase: Saturation
% 4.46/1.41 % (2123334)Time elapsed: 0.070 s
% 4.46/1.41 % (2123334)Peak memory usage: 89 MB
% 4.46/1.41 % (2123334)Instructions burned: 107 (million)
% 4.46/1.41 % (2123335)Instruction limit reached!
% 4.46/1.41 % (2123335)------------------------------
% 4.46/1.41 % (2123335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123335)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123335)Termination reason: Instruction limit
% 4.46/1.41 % (2123335)Termination phase: Saturation
% 4.46/1.41 % (2123335)Time elapsed: 0.073 s
% 4.46/1.41 % (2123335)Peak memory usage: 89 MB
% 4.46/1.41 % (2123335)Instructions burned: 115 (million)
% 4.46/1.41 % (2123336)Instruction limit reached!
% 4.46/1.41 % (2123336)------------------------------
% 4.46/1.41 % (2123336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123336)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123336)Termination reason: Instruction limit
% 4.46/1.41 % (2123336)Termination phase: Saturation
% 4.46/1.41 % (2123336)Time elapsed: 0.115 s
% 4.46/1.41 % (2123336)Peak memory usage: 90 MB
% 4.46/1.41 % (2123336)Instructions burned: 182 (million)
% 4.46/1.41 % (2123344)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3158447363:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.46/1.41 % (2123347)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1951506246:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.46/1.41 % (2123346)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=270428853:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.46/1.41 % (2123344)Instruction limit reached!
% 4.46/1.41 % (2123344)------------------------------
% 4.46/1.41 % (2123344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123344)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123344)Termination reason: Instruction limit
% 4.46/1.41 % (2123344)Termination phase: Saturation
% 4.46/1.41 % (2123344)Time elapsed: 0.088 s
% 4.46/1.41 % (2123344)Peak memory usage: 90 MB
% 4.46/1.41 % (2123344)Instructions burned: 144 (million)
% 4.46/1.41 % (2123348)lrs+10_64_to=lpo:sil=8000:random_seed=1335662410:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.46/1.41 % (2123346)First to succeed.
% 4.46/1.41 % (2123346)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2123326"
% 4.46/1.41 % (2123348)Instruction limit reached!
% 4.46/1.41 % (2123348)------------------------------
% 4.46/1.41 % (2123348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123348)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123348)Termination reason: Instruction limit
% 4.46/1.41 % (2123348)Termination phase: Saturation
% 4.46/1.41 % (2123348)Time elapsed: 0.044 s
% 4.46/1.41 % (2123348)Peak memory usage: 90 MB
% 4.46/1.41 % (2123348)Instructions burned: 129 (million)
% 4.46/1.41 % (2123347)Instruction limit reached!
% 4.46/1.41 % (2123347)------------------------------
% 4.46/1.41 % (2123347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123347)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123347)Termination reason: Instruction limit
% 4.46/1.41 % (2123347)Termination phase: Saturation
% 4.46/1.41 % (2123347)Time elapsed: 0.126 s
% 4.46/1.41 % (2123347)Peak memory usage: 91 MB
% 4.46/1.41 % (2123347)Instructions burned: 219 (million)
% 4.46/1.41 % (2123352)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1320615839:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.46/1.41 % (2123354)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3600099682:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.46/1.41 % (2123354)Instruction limit reached!
% 4.46/1.41 % (2123354)------------------------------
% 4.46/1.41 % (2123354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123354)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123354)Termination reason: Instruction limit
% 4.46/1.41 % (2123354)Termination phase: Saturation
% 4.46/1.41 % (2123354)Time elapsed: 0.047 s
% 4.46/1.41 % (2123354)Peak memory usage: 90 MB
% 4.46/1.41 % (2123354)Instructions burned: 160 (million)
% 4.46/1.41 % (2123352)Instruction limit reached!
% 4.46/1.41 % (2123352)------------------------------
% 4.46/1.41 % (2123352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.41 % (2123352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.41 % (2123352)CaDiCaL version: 2.1.3
% 4.46/1.41 % (2123352)Termination reason: Instruction limit
% 4.46/1.41 % (2123352)Termination phase: Saturation
% 4.46/1.41 % (2123352)Time elapsed: 0.132 s
% 4.46/1.41 % (2123352)Peak memory usage: 90 MB
% 4.46/1.41 % (2123352)Instructions burned: 195 (million)
% 4.46/1.41 % (2123346)Refutation found. Thanks to Tanya!
% 4.46/1.41 % SZS status Unsatisfiable for theBenchmark
% 4.46/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.60 % (2123346)------------------------------
% 0.18/1.60 % (2123346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.60 % (2123346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.60 % (2123346)CaDiCaL version: 2.1.3
% 0.18/1.60 % (2123346)Termination reason: Refutation
% 0.18/1.60 % (2123346)Time elapsed: 0.040 s
% 0.18/1.60 % (2123346)Peak memory usage: 91 MB
% 0.18/1.60 % (2123346)Instructions burned: 65 (million)
% 0.18/1.60 % (2123346)------------------------------
% 0.18/1.60 % (2123346)------------------------------
% 0.18/1.60 % (2123326)Success in time 0.748 s
% 0.18/1.60 % Vampire exiting
%------------------------------------------------------------------------------