%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG427-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:30:31 AM UTC 2026
% Result : Unsatisfiable 8.47s 3.43s
% Output : Refutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 19 unt; 0 def)
% Number of atoms : 78 ( 59 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 31 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0] :
( v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fundamental__theorem__of__algebra__alt_0) ).
fof(f86,plain,
! [X0] :
( v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f85]) ).
fof(f224,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X3,X0),c_Polynomial_Osynthetic__div(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synthetic__div__pCons_0) ).
fof(f241,axiom,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).
fof(f242,plain,
! [X0] : c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(reorient_equations,[],[f241]) ).
fof(f627,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Osynthetic__div(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| c_Polynomial_Odegree(X1,X0) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synthetic__div__eq__0__iff_0) ).
fof(f628,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) != c_Polynomial_Osynthetic__div(X1,X2,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Odegree(X1,X0) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(reorient_equations,[],[f627]) ).
fof(f629,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Odegree(X1,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Osynthetic__div(X1,X2,X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synthetic__div__eq__0__iff_1) ).
fof(f630,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X1,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osynthetic__div(X1,X2,X0) ),
inference(reorient_equations,[],[f629]) ).
fof(f840,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/sandbox2/benchmark/theBenchmark.p',cls_degree__pCons__eq_0) ).
fof(f841,plain,
! [X2,X0,X1] :
( ~ class_HOL_Ozero(X0)
| c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2 ),
inference(reorient_equations,[],[f840]) ).
fof(f850,axiom,
! [X0] :
( c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X0 = c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fundamental__theorem__of__algebra__alt_1) ).
fof(f851,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex)
| c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = X0 ),
inference(reorient_equations,[],[f850]) ).
fof(f887,axiom,
! [X0] :
( ~ class_HOL_Ozero(X0)
| c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__0__0_0) ).
fof(f888,plain,
! [X0] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
inference(reorient_equations,[],[f887]) ).
fof(f891,axiom,
! [X0] :
( v_p != c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)
| v_thesis____
| X0 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f892,plain,
! [X0] :
( v_p != c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)
| v_thesis____
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(reorient_equations,[],[f891]) ).
fof(f893,axiom,
v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pe_0) ).
fof(f894,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
inference(reorient_equations,[],[f893]) ).
fof(f897,axiom,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f898,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f897]) ).
fof(f899,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f998,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1025,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).
fof(f2389,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(resolution,[],[f888,f1025]) ).
fof(f2391,plain,
! [X0] :
( v_p != c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_subsumption_resolution,[],[f892,f899]) ).
fof(f4627,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(v_p,X0,tc_Complex_Ocomplex) ),
inference(superposition,[],[f630,f898]) ).
fof(f4640,plain,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(v_p,X0,tc_Complex_Ocomplex) ),
inference(trivial_inequality_removal,[],[f4627]) ).
fof(f4644,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(v_p,X0,tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f4640,f998]) ).
fof(f6188,plain,
! [X0] :
( v_p != X0
| v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(X0) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex) ),
inference(superposition,[],[f2391,f851]) ).
fof(f6203,plain,
! [X0] :
( v_p != X0
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(X0),tc_Complex_Ocomplex) ),
inference(forward_subsumption_resolution,[],[f6188,f86]) ).
fof(f6207,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),
inference(equality_resolution,[],[f6203]) ).
fof(f6668,plain,
! [X0,X1] :
( c_Polynomial_Odegree(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Suc(c_Polynomial_Odegree(X1,tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 ),
inference(resolution,[],[f841,f1025]) ).
fof(f7802,plain,
! [X2,X0,X1] : c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f224,f998]) ).
fof(f84702,plain,
! [X0] : c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Osynthetic__div(v_p,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f7802,f6207]) ).
fof(f84767,plain,
! [X0] : c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f84702,f4644]) ).
fof(f84789,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(v_p),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f84767,f2389]) ).
fof(f84943,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(superposition,[],[f628,f84789]) ).
fof(f84944,plain,
! [X0] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(trivial_inequality_removal,[],[f84943]) ).
fof(f84945,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(c_Polynomial_OpCons(X0,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f84944,f998]) ).
fof(f85023,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) = c_Suc(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p ),
inference(superposition,[],[f6668,f84945]) ).
fof(f85037,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p,
inference(forward_subsumption_resolution,[],[f85023,f242]) ).
fof(f85042,plain,
$false,
inference(forward_subsumption_resolution,[],[f85037,f894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG427-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 20:22:38 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.35/1.72 % (720369)Will run a generic schedule for satisfiability detection.
% 9.35/1.72 % (720379)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1351296505:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.35/1.72 % (720375)% WARNING: option uhcvi not known.
% 9.35/1.72 % (720374)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2046467039_2999 on theBenchmark for (2999ds/0Mi)
% 9.35/1.72 % (720375)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2727333056:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.35/1.72 % (720376)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4147245126:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.35/1.72 % (720377)dis+10_1_sil=32000:sp=arity:random_seed=538404432:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.35/1.72 % (720380)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1239775140:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.35/1.72 % (720378)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1993039889:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.35/1.72 % (720379)Instruction limit reached!
% 9.35/1.72 % (720379)------------------------------
% 9.35/1.72 % (720379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.72 % (720379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.72 % (720379)CaDiCaL version: 2.1.3
% 9.35/1.72 % (720379)Termination reason: Instruction limit
% 9.35/1.72 % (720379)Termination phase: Saturation
% 9.35/1.72 % (720379)Time elapsed: 0.043 s
% 9.35/1.72 % (720379)Peak memory usage: 14 MB
% 9.35/1.72 % (720379)Instructions burned: 132 (million)
% 9.35/1.72 % (720388)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2960162714:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 9.35/1.72 % (720377)Instruction limit reached!
% 9.35/1.72 % (720377)------------------------------
% 9.35/1.72 % (720377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.72 % (720377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.72 % (720377)CaDiCaL version: 2.1.3
% 9.35/1.73 % (720377)Termination reason: Instruction limit
% 9.35/1.73 % (720377)Termination phase: Saturation
% 9.35/1.73 % (720377)Time elapsed: 0.067 s
% 9.35/1.73 % (720377)Peak memory usage: 13 MB
% 9.35/1.73 % (720377)Instructions burned: 104 (million)
% 9.35/1.73 % (720378)Instruction limit reached!
% 9.35/1.73 % (720378)------------------------------
% 9.35/1.73 % (720378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.73 % (720378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.73 % (720378)CaDiCaL version: 2.1.3
% 9.35/1.73 % (720378)Termination reason: Instruction limit
% 9.35/1.73 % (720378)Termination phase: Saturation
% 9.35/1.73 % (720378)Time elapsed: 0.074 s
% 9.35/1.73 % (720378)Peak memory usage: 14 MB
% 9.35/1.73 % (720378)Instructions burned: 116 (million)
% 9.35/1.73 % TRYING [1]
% 9.35/1.73 % TRYING [2]
% 9.35/1.73 % (720390)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4273840383:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.35/1.73 % TRYING [1]
% 9.35/1.73 % TRYING [2]
% 9.35/1.73 % (720391)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3818264835:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.35/1.73 % (720380)Instruction limit reached!
% 9.35/1.73 % (720380)------------------------------
% 9.35/1.73 % (720380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.73 % (720380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.73 % (720380)CaDiCaL version: 2.1.3
% 9.35/1.73 % (720380)Termination reason: Instruction limit
% 9.35/1.73 % (720380)Termination phase: Saturation
% 9.35/1.73 % (720380)Time elapsed: 0.107 s
% 9.35/1.73 % (720380)Peak memory usage: 14 MB
% 9.35/1.73 % (720380)Instructions burned: 160 (million)
% 9.35/1.73 % (720394)ott-21_1_sil=16000:fs=off:random_seed=3864426869:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.35/1.73 % TRYING [3]
% 9.35/1.73 % TRYING [3]
% 9.35/1.73 % (720390)Instruction limit reached!
% 9.35/1.73 % (720390)------------------------------
% 9.35/1.73 % (720390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.73 % (720390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.42 % (720390)CaDiCaL version: 2.1.3
% 8.47/3.42 % (720390)Termination reason: Instruction limit
% 8.47/3.42 % (720390)Termination phase: Saturation
% 8.47/3.42 % (720390)Time elapsed: 0.076 s
% 8.47/3.42 % (720390)Peak memory usage: 13 MB
% 8.47/3.42 % (720390)Instructions burned: 131 (million)
% 8.47/3.42 % (720396)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3993463600:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.47/3.42 % (720388)Instruction limit reached!
% 8.47/3.42 % (720388)------------------------------
% 8.47/3.42 % (720388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.42 % (720388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.42 % (720388)CaDiCaL version: 2.1.3
% 8.47/3.42 % (720388)Termination reason: Instruction limit
% 8.47/3.42 % (720388)Termination phase: Finite model building constraint generation
% 8.47/3.42 % (720388)Time elapsed: 0.142 s
% 8.47/3.42 % (720388)Peak memory usage: 30 MB
% 8.47/3.42 % (720388)Instructions burned: 716 (million)
% 8.47/3.42 % (720398)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2050215156:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.47/3.42 % (720394)Instruction limit reached!
% 8.47/3.42 % (720394)------------------------------
% 8.47/3.42 % (720394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.42 % (720394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.42 % (720394)CaDiCaL version: 2.1.3
% 8.47/3.42 % (720394)Termination reason: Instruction limit
% 8.47/3.42 % (720394)Termination phase: Saturation
% 8.47/3.42 % (720394)Time elapsed: 0.078 s
% 8.47/3.42 % (720394)Peak memory usage: 12 MB
% 8.47/3.42 % (720394)Instructions burned: 181 (million)
% 8.47/3.42 % (720400)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=776365557:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.47/3.42 % TRYING [1]
% 8.47/3.42 % TRYING [2]
% 8.47/3.42 % (720398)Instruction limit reached!
% 8.47/3.42 % (720398)------------------------------
% 8.47/3.42 % (720398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.42 % (720398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.42 % (720398)CaDiCaL version: 2.1.3
% 8.47/3.42 % (720398)Termination reason: Instruction limit
% 8.47/3.42 % (720398)Termination phase: Finite model building SAT solving
% 8.47/3.42 % (720398)Time elapsed: 0.203 s
% 8.47/3.42 % (720398)Peak memory usage: 29 MB
% 8.47/3.42 % (720398)Instructions burned: 870 (million)
% 8.47/3.42 % (720402)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1351817516:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.47/3.42 % (720396)Instruction limit reached!
% 8.47/3.42 % (720396)------------------------------
% 8.47/3.42 % (720396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.42 % (720396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.42 % (720396)CaDiCaL version: 2.1.3
% 8.47/3.42 % (720396)Termination reason: Instruction limit
% 8.47/3.42 % (720396)Termination phase: Saturation
% 8.47/3.42 % (720396)Time elapsed: 0.316 s
% 8.47/3.42 % (720396)Peak memory usage: 15 MB
% 8.47/3.42 % (720396)Instructions burned: 480 (million)
% 8.47/3.42 % (720391)Instruction limit reached!
% 8.47/3.42 % (720391)------------------------------
% 8.47/3.42 % (720391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720391)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720391)Termination reason: Instruction limit
% 8.47/3.43 % (720391)Termination phase: Saturation
% 8.47/3.43 % (720391)Time elapsed: 0.407 s
% 8.47/3.43 % (720391)Peak memory usage: 17 MB
% 8.47/3.43 % (720391)Instructions burned: 685 (million)
% 8.47/3.43 % (720404)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3474644166:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.47/3.43 % (720405)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3816352089:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.47/3.43 % (720402)Instruction limit reached!
% 8.47/3.43 % (720402)------------------------------
% 8.47/3.43 % (720402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720402)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720402)Termination reason: Instruction limit
% 8.47/3.43 % (720402)Termination phase: Finite model building constraint generation
% 8.47/3.43 % (720402)Time elapsed: 0.240 s
% 8.47/3.43 % (720402)Peak memory usage: 97 MB
% 8.47/3.43 % (720402)Instructions burned: 889 (million)
% 8.47/3.43 % (720408)fmb+10_1_sil=64000:random_seed=504281649:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 8.47/3.43 % TRYING [1]
% 8.47/3.43 % TRYING [2]
% 8.47/3.43 % TRYING [4]
% 8.47/3.43 % (720400)Instruction limit reached!
% 8.47/3.43 % (720400)------------------------------
% 8.47/3.43 % (720400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720400)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720400)Termination reason: Instruction limit
% 8.47/3.43 % (720400)Termination phase: Saturation
% 8.47/3.43 % (720400)Time elapsed: 0.694 s
% 8.47/3.43 % (720400)Peak memory usage: 24 MB
% 8.47/3.43 % (720400)Instructions burned: 1180 (million)
% 8.47/3.43 % TRYING [3]
% 8.47/3.43 % (720410)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2072938783:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.47/3.43 % (720404)Instruction limit reached!
% 8.47/3.43 % (720404)------------------------------
% 8.47/3.43 % (720404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720404)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720404)Termination reason: Instruction limit
% 8.47/3.43 % (720404)Termination phase: Saturation
% 8.47/3.43 % (720404)Time elapsed: 0.446 s
% 8.47/3.43 % (720404)Peak memory usage: 19 MB
% 8.47/3.43 % (720404)Instructions burned: 692 (million)
% 8.47/3.43 % (720412)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4144680971:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.47/3.43 % (720405)Instruction limit reached!
% 8.47/3.43 % (720405)------------------------------
% 8.47/3.43 % (720405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720405)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720405)Termination reason: Instruction limit
% 8.47/3.43 % (720405)Termination phase: Saturation
% 8.47/3.43 % (720405)Time elapsed: 0.492 s
% 8.47/3.43 % (720405)Peak memory usage: 21 MB
% 8.47/3.43 % (720405)Instructions burned: 879 (million)
% 8.47/3.43 % (720410)Cannot represent all propositional literals internally
% 8.47/3.43 % (720410)Refutation not found, incomplete strategy
% 8.47/3.43 % (720410)------------------------------
% 8.47/3.43 % (720410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720410)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720410)Termination reason: Refutation not found, incomplete strategy
% 8.47/3.43 % (720410)Time elapsed: 0.075 s
% 8.47/3.43 % (720410)Peak memory usage: 13 MB
% 8.47/3.43 % (720410)Instructions burned: 154 (million)
% 8.47/3.43 % (720410)------------------------------
% 8.47/3.43 % (720410)------------------------------
% 8.47/3.43 % (720414)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=504215079:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.47/3.43 % (720415)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2331265587:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 8.47/3.43 % TRYING [8]
% 8.47/3.43 % (720412)Instruction limit reached!
% 8.47/3.43 % (720412)------------------------------
% 8.47/3.43 % (720412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720412)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720412)Termination reason: Instruction limit
% 8.47/3.43 % (720412)Termination phase: Finite model building constraint generation
% 8.47/3.43 % (720412)Time elapsed: 0.328 s
% 8.47/3.43 % (720412)Peak memory usage: 55 MB
% 8.47/3.43 % (720412)Instructions burned: 921 (million)
% 8.47/3.43 % (720418)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2933888957:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 8.47/3.43 % (720418)Cannot represent all propositional literals internally
% 8.47/3.43 % (720418)Refutation not found, incomplete strategy
% 8.47/3.43 % (720418)------------------------------
% 8.47/3.43 % (720418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720418)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720418)Termination reason: Refutation not found, incomplete strategy
% 8.47/3.43 % (720418)Time elapsed: 0.081 s
% 8.47/3.43 % (720418)Peak memory usage: 14 MB
% 8.47/3.43 % (720418)Instructions burned: 164 (million)
% 8.47/3.43 % (720418)------------------------------
% 8.47/3.43 % (720418)------------------------------
% 8.47/3.43 % (720420)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3781424434:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 8.47/3.43 % (720415)Instruction limit reached!
% 8.47/3.43 % (720415)------------------------------
% 8.47/3.43 % (720415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720415)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720415)Termination reason: Instruction limit
% 8.47/3.43 % (720415)Termination phase: Saturation
% 8.47/3.43 % (720415)Time elapsed: 0.742 s
% 8.47/3.43 % (720415)Peak memory usage: 32 MB
% 8.47/3.43 % (720415)Instructions burned: 1473 (million)
% 8.47/3.43 % (720422)ott-2_1_sil=16000:newcnf=on:random_seed=652560250:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 8.47/3.43 % (720420)Cannot represent all propositional literals internally
% 8.47/3.43 % (720420)Refutation not found, incomplete strategy
% 8.47/3.43 % (720420)------------------------------
% 8.47/3.43 % (720420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720420)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720420)Termination reason: Refutation not found, incomplete strategy
% 8.47/3.43 % (720420)Time elapsed: 0.509 s
% 8.47/3.43 % (720420)Peak memory usage: 23 MB
% 8.47/3.43 % (720420)Instructions burned: 1027 (million)
% 8.47/3.43 % (720420)------------------------------
% 8.47/3.43 % (720420)------------------------------
% 8.47/3.43 % (720424)ott+10_1_sil=32000:tgt=ground:random_seed=4226840942:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 8.47/3.43 % TRYING [4]
% 8.47/3.43 % (720422)Instruction limit reached!
% 8.47/3.43 % (720422)------------------------------
% 8.47/3.43 % (720422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720422)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720422)Termination reason: Instruction limit
% 8.47/3.43 % (720422)Termination phase: Saturation
% 8.47/3.43 % (720422)Time elapsed: 0.559 s
% 8.47/3.43 % (720422)Peak memory usage: 19 MB
% 8.47/3.43 % (720422)Instructions burned: 870 (million)
% 8.47/3.43 % (720426)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=316350296:i=54282_2975 on theBenchmark for (2975ds/54282Mi)
% 8.47/3.43 % TRYING [1]
% 8.47/3.43 % TRYING [2]
% 8.47/3.43 % TRYING [3]
% 8.47/3.43 % (720414) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-720369-720414"...
% 8.47/3.43 % (720414)...printing done.
% 8.47/3.43 % (720414)Refutation found. Thanks to Tanya!
% 8.47/3.43 % SZS status Unsatisfiable for theBenchmark
% 8.47/3.43 % SZS output start Proof for theBenchmark
% See solution above
% 8.47/3.43 % (720414)------------------------------
% 8.47/3.43 % (720414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/3.43 % (720414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/3.43 % (720414)CaDiCaL version: 2.1.3
% 8.47/3.43 % (720414)Termination reason: Refutation
% 8.47/3.43 % (720414)Time elapsed: 2.025 s
% 8.47/3.43 % (720414)Peak memory usage: 33 MB
% 8.47/3.43 % (720414)Instructions burned: 3490 (million)
% 8.47/3.43 % (720369)Success in time 3.185 s
% 8.47/3.43 % Vampire exiting
%------------------------------------------------------------------------------