%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG356-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:19:51 AM UTC 2026
% Result : Unsatisfiable 14.86s 2.88s
% Output : Refutation 14.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 38 unt; 5 def)
% Number of atoms : 65 ( 48 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1060,axiom,
v_b != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_b_0) ).
fof(f1061,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != v_b,
inference(reorient_equations,[],[f1060]) ).
fof(f1077,axiom,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__of__real_0) ).
fof(f1078,plain,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X0),X0) ),
inference(reorient_equations,[],[f1077]) ).
fof(f1087,axiom,
! [X0] :
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__one_0) ).
fof(f1088,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__algebra__1(X0)
| c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) ),
inference(reorient_equations,[],[f1087]) ).
fof(f1127,axiom,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__norm__cancel_0) ).
fof(f1128,plain,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_RealVector_Onorm__class_Onorm(X1,X0) = c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
inference(reorient_equations,[],[f1127]) ).
fof(f1134,axiom,
! [X2,X0,X1] :
( ~ class_RealVector_Oreal__normed__field(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__divide_0) ).
fof(f1147,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__self_0) ).
fof(f1148,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oone__class_Oone(X0) = c_HOL_Oinverse__class_Odivide(X1,X1,X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f1147]) ).
fof(f1179,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1180,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) != c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(reorient_equations,[],[f1179]) ).
fof(f1355,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
fof(f1357,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f1362,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1367,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
fof(f1384,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1448,definition,
sF0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1449,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = sF0,
inference(reorient_equations,[],[f1448]) ).
fof(f1450,definition,
sF1 = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1451,plain,
c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = sF1,
inference(reorient_equations,[],[f1450]) ).
fof(f1452,definition,
sF2 = c_RealVector_Oof__real(sF1,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1453,plain,
c_RealVector_Oof__real(sF1,tc_Complex_Ocomplex) = sF2,
inference(reorient_equations,[],[f1452]) ).
fof(f1454,definition,
sF3 = c_HOL_Oinverse__class_Odivide(sF2,v_b,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1455,plain,
c_HOL_Oinverse__class_Odivide(sF2,v_b,tc_Complex_Ocomplex) = sF3,
inference(reorient_equations,[],[f1454]) ).
fof(f1456,definition,
sF4 = c_RealVector_Onorm__class_Onorm(sF3,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1457,plain,
c_RealVector_Onorm__class_Onorm(sF3,tc_Complex_Ocomplex) = sF4,
inference(reorient_equations,[],[f1456]) ).
fof(f1458,plain,
sF0 != sF4,
inference(definition_folding,[],[f1180,f1457,f1455,f1453,f1451,f1449]) ).
fof(f1467,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(resolution,[],[f1128,f1362]) ).
fof(f1469,plain,
sF1 = c_HOL_Oabs__class_Oabs(sF1,tc_RealDef_Oreal),
inference(superposition,[],[f1467,f1451]) ).
fof(f1477,plain,
! [X0] :
( c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(X0,X0,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(resolution,[],[f1148,f1384]) ).
fof(f1478,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(resolution,[],[f1367,f1134]) ).
fof(f1479,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f1478,f1357]) ).
fof(f1481,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(v_b,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(sF1,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(superposition,[],[f1479,f1451]) ).
fof(f1484,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X0,v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),sF1,tc_RealDef_Oreal),
inference(superposition,[],[f1479,f1451]) ).
fof(f1490,plain,
( c_HOL_Oinverse__class_Odivide(sF1,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_b ),
inference(superposition,[],[f1481,f1477]) ).
fof(f1495,plain,
c_HOL_Oinverse__class_Odivide(sF1,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f1490,f1061]) ).
fof(f1497,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(sF1,sF1,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1495,f1451]) ).
fof(f1504,plain,
c_RealVector_Onorm__class_Onorm(sF3,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(sF2,tc_Complex_Ocomplex),sF1,tc_RealDef_Oreal),
inference(superposition,[],[f1484,f1455]) ).
fof(f1511,plain,
sF4 = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(sF2,tc_Complex_Ocomplex),sF1,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1504,f1457]) ).
fof(f1573,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f1355,f1088]) ).
fof(f1574,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f1355,f1078]) ).
fof(f1575,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(sF1,sF1,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1573,f1497]) ).
fof(f1576,plain,
sF0 = c_HOL_Oinverse__class_Odivide(sF1,sF1,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1575,f1449]) ).
fof(f1579,plain,
c_RealVector_Onorm__class_Onorm(sF2,tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(sF1,tc_RealDef_Oreal),
inference(superposition,[],[f1574,f1453]) ).
fof(f1586,plain,
sF1 = c_RealVector_Onorm__class_Onorm(sF2,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1579,f1469]) ).
fof(f1587,plain,
sF4 = c_HOL_Oinverse__class_Odivide(sF1,sF1,tc_RealDef_Oreal),
inference(superposition,[],[f1511,f1586]) ).
fof(f1594,plain,
sF0 = sF4,
inference(forward_demodulation,[],[f1587,f1576]) ).
fof(f1595,plain,
$false,
inference(forward_subsumption_resolution,[],[f1594,f1458]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG356-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:10:00 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 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
% 12.54/2.52 % (3411135)Input is clausal, will run a generic CNF schedule.
% 12.54/2.52 % (3411160)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1456177656:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.54/2.52 % (3411156)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3393311260:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.54/2.52 % (3411157)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3661872114:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.54/2.52 % (3411158)lrs+10_1_sil=8000:sp=occurrence:random_seed=3451266732:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.54/2.52 % (3411160)Instruction limit reached!
% 12.54/2.52 % (3411160)------------------------------
% 12.54/2.52 % (3411160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.52 % (3411160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.52 % (3411160)CaDiCaL version: 2.1.3
% 12.54/2.52 % (3411160)Termination reason: Instruction limit
% 12.54/2.52 % (3411160)Termination phase: Saturation
% 12.54/2.52 % (3411160)Time elapsed: 0.099 s
% 12.54/2.52 % (3411160)Peak memory usage: 90 MB
% 12.54/2.52 % (3411160)Instructions burned: 181 (million)
% 12.54/2.52 % (3411161)dis-21_1_sil=8000:lcm=predicate:random_seed=3558979979: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)
% 12.54/2.52 % (3411155)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=1562342886:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.54/2.52 % (3411159)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3775731966:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.54/2.52 % (3411161)Instruction limit reached!
% 12.54/2.52 % (3411161)------------------------------
% 12.54/2.52 % (3411161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.52 % (3411161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.52 % (3411161)CaDiCaL version: 2.1.3
% 12.54/2.52 % (3411161)Termination reason: Instruction limit
% 12.54/2.52 % (3411161)Termination phase: Saturation
% 12.54/2.52 % (3411161)Time elapsed: 0.053 s
% 12.54/2.52 % (3411161)Peak memory usage: 89 MB
% 12.54/2.52 % (3411161)Instructions burned: 119 (million)
% 12.54/2.52 % (3411158)Instruction limit reached!
% 12.54/2.52 % (3411158)------------------------------
% 12.54/2.52 % (3411158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.52 % (3411158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.52 % (3411158)CaDiCaL version: 2.1.3
% 12.54/2.52 % (3411158)Termination reason: Instruction limit
% 12.54/2.52 % (3411158)Termination phase: Saturation
% 12.54/2.52 % (3411158)Time elapsed: 0.115 s
% 12.54/2.52 % (3411158)Peak memory usage: 90 MB
% 12.54/2.52 % (3411158)Instructions burned: 107 (million)
% 12.54/2.52 % (3411159)Instruction limit reached!
% 12.54/2.52 % (3411159)------------------------------
% 12.54/2.52 % (3411159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.52 % (3411159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.52 % (3411159)CaDiCaL version: 2.1.3
% 12.54/2.52 % (3411159)Termination reason: Instruction limit
% 12.54/2.52 % (3411159)Termination phase: Saturation
% 12.54/2.52 % (3411159)Time elapsed: 0.110 s
% 12.54/2.52 % (3411159)Peak memory usage: 89 MB
% 12.54/2.52 % (3411159)Instructions burned: 114 (million)
% 12.54/2.52 % (3411170)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=2446496264:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 12.54/2.52 % (3411170)Refutation not found, incomplete strategy
% 12.54/2.52 % (3411170)------------------------------
% 12.54/2.52 % (3411170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.52 % (3411170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.52 % (3411170)CaDiCaL version: 2.1.3
% 12.54/2.52 % (3411170)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.52 % (3411170)Time elapsed: 0.018 s
% 12.54/2.52 % (3411170)Peak memory usage: 89 MB
% 12.54/2.52 % (3411170)Instructions burned: 15 (million)
% 12.54/2.52 % (3411175)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1224755017: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)
% 9.05/2.72 % (3411177)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1424636479:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 9.05/2.72 % (3411175)Instruction limit reached!
% 9.05/2.72 % (3411175)------------------------------
% 9.05/2.72 % (3411175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411175)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411175)Termination reason: Instruction limit
% 9.05/2.72 % (3411175)Termination phase: Saturation
% 9.05/2.72 % (3411175)Time elapsed: 0.090 s
% 9.05/2.72 % (3411175)Peak memory usage: 91 MB
% 9.05/2.72 % (3411175)Instructions burned: 191 (million)
% 9.05/2.72 % (3411179)lrs+10_64_to=lpo:sil=8000:random_seed=2340686580:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.05/2.72 % (3411185)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2174665250:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 9.05/2.72 % (3411177)Instruction limit reached!
% 9.05/2.72 % (3411177)------------------------------
% 9.05/2.72 % (3411177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411177)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411177)Termination reason: Instruction limit
% 9.05/2.72 % (3411177)Termination phase: Saturation
% 9.05/2.72 % (3411177)Time elapsed: 0.209 s
% 9.05/2.72 % (3411177)Peak memory usage: 91 MB
% 9.05/2.72 % (3411177)Instructions burned: 220 (million)
% 9.05/2.72 % (3411179)Instruction limit reached!
% 9.05/2.72 % (3411179)------------------------------
% 9.05/2.72 % (3411179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411179)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411179)Termination reason: Instruction limit
% 9.05/2.72 % (3411179)Termination phase: Saturation
% 9.05/2.72 % (3411179)Time elapsed: 0.137 s
% 9.05/2.72 % (3411179)Peak memory usage: 90 MB
% 9.05/2.72 % (3411179)Instructions burned: 126 (million)
% 9.05/2.72 % (3411170)------------------------------
% 9.05/2.72 % (3411170)------------------------------
% 9.05/2.72 % (3411185)Instruction limit reached!
% 9.05/2.72 % (3411185)------------------------------
% 9.05/2.72 % (3411185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411185)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411185)Termination reason: Instruction limit
% 9.05/2.72 % (3411185)Termination phase: Saturation
% 9.05/2.72 % (3411185)Time elapsed: 0.121 s
% 9.05/2.72 % (3411185)Peak memory usage: 91 MB
% 9.05/2.72 % (3411185)Instructions burned: 194 (million)
% 9.05/2.72 % (3411190)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1365846744:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 9.05/2.72 % (3411192)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=467591755:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 9.05/2.72 % (3411191)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1638758239:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 9.05/2.72 % (3411192)Instruction limit reached!
% 9.05/2.72 % (3411192)------------------------------
% 9.05/2.72 % (3411192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411192)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411192)Termination reason: Instruction limit
% 9.05/2.72 % (3411192)Termination phase: Saturation
% 9.05/2.72 % (3411192)Time elapsed: 0.052 s
% 9.05/2.72 % (3411192)Peak memory usage: 89 MB
% 9.05/2.72 % (3411192)Instructions burned: 106 (million)
% 9.05/2.72 % (3411194)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=38092152:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 9.05/2.72 % (3411194)Refutation not found, incomplete strategy
% 9.05/2.72 % (3411194)------------------------------
% 9.05/2.72 % (3411194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411194)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411194)Termination reason: Refutation not found, incomplete strategy
% 9.05/2.72 % (3411194)Time elapsed: 0.019 s
% 9.05/2.72 % (3411194)Peak memory usage: 89 MB
% 9.05/2.72 % (3411194)Instructions burned: 30 (million)
% 9.05/2.72 % (3411190)Instruction limit reached!
% 9.05/2.72 % (3411190)------------------------------
% 9.05/2.72 % (3411190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411190)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411190)Termination reason: Instruction limit
% 9.05/2.72 % (3411190)Termination phase: Saturation
% 9.05/2.72 % (3411190)Time elapsed: 0.145 s
% 9.05/2.72 % (3411190)Peak memory usage: 91 MB
% 9.05/2.72 % (3411190)Instructions burned: 157 (million)
% 9.05/2.72 % (3411201)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3509245940:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 9.05/2.72 % (3411194)------------------------------
% 9.05/2.72 % (3411194)------------------------------
% 9.05/2.72 % (3411202)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2232007932:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 9.05/2.72 % (3411205)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2711407734:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 9.05/2.72 % (3411201)Instruction limit reached!
% 9.05/2.72 % (3411201)------------------------------
% 9.05/2.72 % (3411201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411201)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411201)Termination reason: Instruction limit
% 9.05/2.72 % (3411201)Termination phase: Saturation
% 9.05/2.72 % (3411201)Time elapsed: 0.246 s
% 9.05/2.72 % (3411201)Peak memory usage: 91 MB
% 9.05/2.72 % (3411201)Instructions burned: 242 (million)
% 9.05/2.72 % (3411205)Instruction limit reached!
% 9.05/2.72 % (3411205)------------------------------
% 9.05/2.72 % (3411205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411205)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411205)Termination reason: Instruction limit
% 9.05/2.72 % (3411205)Termination phase: Saturation
% 9.05/2.72 % (3411205)Time elapsed: 0.069 s
% 9.05/2.72 % (3411205)Peak memory usage: 90 MB
% 9.05/2.72 % (3411205)Instructions burned: 135 (million)
% 9.05/2.72 % (3411210)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3158788744:i=499:bd=all_2985 on theBenchmark for (2985ds/499Mi)
% 9.05/2.72 % (3411155)First to succeed.
% 9.05/2.72 % (3411155)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3411135"
% 9.05/2.72 % (3411211)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3183758298:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 9.05/2.72 % (3411156)Also succeeded, but the first one will report.
% 9.05/2.72 % (3411210)Instruction limit reached!
% 9.05/2.72 % (3411210)------------------------------
% 9.05/2.72 % (3411210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411210)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411210)Termination reason: Instruction limit
% 9.05/2.72 % (3411210)Termination phase: Saturation
% 9.05/2.72 % (3411210)Time elapsed: 0.260 s
% 9.05/2.72 % (3411210)Peak memory usage: 94 MB
% 9.05/2.72 % (3411210)Instructions burned: 501 (million)
% 9.05/2.72 % (3411211)Instruction limit reached!
% 9.05/2.72 % (3411211)------------------------------
% 9.05/2.72 % (3411211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.72 % (3411211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.72 % (3411211)CaDiCaL version: 2.1.3
% 9.05/2.72 % (3411211)Termination reason: Instruction limit
% 9.05/2.72 % (3411211)Termination phase: Saturation
% 9.05/2.72 % (3411211)Time elapsed: 0.206 s
% 14.86/2.88 % (3411211)Peak memory usage: 92 MB
% 14.86/2.88 % (3411211)Instructions burned: 191 (million)
% 14.86/2.88 % (3411157)Also succeeded, but the first one will report.
% 14.86/2.88 % (3411217)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1146388998:i=264:kws=precedence:fsr=off_2981 on theBenchmark for (2981ds/264Mi)
% 14.86/2.88 % (3411155)Refutation found. Thanks to Tanya!
% 14.86/2.88 % SZS status Unsatisfiable for theBenchmark
% 14.86/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 14.86/2.88 % (3411155)------------------------------
% 14.86/2.88 % (3411155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.86/2.88 % (3411155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.86/2.88 % (3411155)CaDiCaL version: 2.1.3
% 14.86/2.88 % (3411155)Termination reason: Refutation
% 14.86/2.88 % (3411155)Time elapsed: 1.381 s
% 14.86/2.88 % (3411155)Peak memory usage: 143 MB
% 14.86/2.88 % (3411155)Instructions burned: 1309 (million)
% 14.86/2.88 % (3411155)------------------------------
% 14.86/2.88 % (3411155)------------------------------
% 14.86/2.88 % (3411135)Success in time 2.046 s
% 14.86/2.88 % Vampire exiting
%------------------------------------------------------------------------------