%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG359-1 : 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 14.06s 2.97s
% Output : Refutation 14.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 35 unt; 8 def)
% Number of atoms : 40 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1037,axiom,
! [X0,X1] : c_Power_Opower__class_Opower(c_RealVector_Oof__real(X0,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Power_Opower__class_Opower(X0,X1,tc_RealDef_Oreal),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__power_0) ).
fof(f1079,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__divide_0) ).
fof(f1120,axiom,
c_Power_Opower__class_Opower(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),v_na____,tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1121,plain,
c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),v_na____,tc_RealDef_Oreal),
inference(reorient_equations,[],[f1120]) ).
fof(f1122,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,c_RealVector_Oof__real(c_NthRoot_Oroot(v_na____,c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1229,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(f1255,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f1261,definition,
sF0 = c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1262,plain,
c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex) = sF0,
inference(reorient_equations,[],[f1261]) ).
fof(f1263,definition,
sF1 = c_NthRoot_Oroot(v_na____,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1264,plain,
c_NthRoot_Oroot(v_na____,sF0) = sF1,
inference(reorient_equations,[],[f1263]) ).
fof(f1265,definition,
sF2 = c_RealVector_Oof__real(sF1,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1266,plain,
c_RealVector_Oof__real(sF1,tc_Complex_Ocomplex) = sF2,
inference(reorient_equations,[],[f1265]) ).
fof(f1267,definition,
sF3 = c_HOL_Oinverse__class_Odivide(v_v____,sF2,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1268,plain,
c_HOL_Oinverse__class_Odivide(v_v____,sF2,tc_Complex_Ocomplex) = sF3,
inference(reorient_equations,[],[f1267]) ).
fof(f1269,definition,
sF4 = c_Power_Opower__class_Opower(sF3,v_na____,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1270,plain,
c_Power_Opower__class_Opower(sF3,v_na____,tc_Complex_Ocomplex) = sF4,
inference(reorient_equations,[],[f1269]) ).
fof(f1271,definition,
sF5 = c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1272,plain,
c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex) = sF5,
inference(reorient_equations,[],[f1271]) ).
fof(f1273,definition,
sF6 = c_RealVector_Oof__real(sF0,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1274,plain,
c_RealVector_Oof__real(sF0,tc_Complex_Ocomplex) = sF6,
inference(reorient_equations,[],[f1273]) ).
fof(f1275,definition,
sF7 = c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1276,plain,
c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_Complex_Ocomplex) = sF7,
inference(reorient_equations,[],[f1275]) ).
fof(f1277,plain,
sF4 != sF7,
inference(definition_folding,[],[f1122,f1276,f1274,f1262,f1272,f1270,f1268,f1266,f1264,f1262]) ).
fof(f1283,plain,
sF0 = c_Power_Opower__class_Opower(c_NthRoot_Oroot(v_na____,sF0),v_na____,tc_RealDef_Oreal),
inference(superposition,[],[f1121,f1262]) ).
fof(f1284,plain,
sF0 = c_Power_Opower__class_Opower(sF1,v_na____,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1283,f1264]) ).
fof(f1286,plain,
c_RealVector_Oof__real(sF0,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_RealVector_Oof__real(sF1,tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex),
inference(superposition,[],[f1037,f1284]) ).
fof(f1287,plain,
c_RealVector_Oof__real(sF0,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(sF2,v_na____,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1286,f1266]) ).
fof(f1289,plain,
sF6 = c_Power_Opower__class_Opower(sF2,v_na____,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1287,f1274]) ).
fof(f1323,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ),
inference(resolution,[],[f1255,f1079]) ).
fof(f1324,plain,
! [X2,X0,X1] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f1323,f1229]) ).
fof(f1326,plain,
! [X0] : c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(v_v____,X0,tc_Complex_Ocomplex),v_na____,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(sF5,c_Power_Opower__class_Opower(X0,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1324,f1272]) ).
fof(f1331,plain,
c_Power_Opower__class_Opower(sF3,v_na____,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(sF5,c_Power_Opower__class_Opower(sF2,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(superposition,[],[f1326,f1268]) ).
fof(f1335,plain,
c_Power_Opower__class_Opower(sF3,v_na____,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1331,f1289]) ).
fof(f1336,plain,
c_Power_Opower__class_Opower(sF3,v_na____,tc_Complex_Ocomplex) = sF7,
inference(forward_demodulation,[],[f1335,f1276]) ).
fof(f1337,plain,
sF4 = sF7,
inference(forward_demodulation,[],[f1336,f1270]) ).
fof(f1338,plain,
$false,
inference(forward_subsumption_resolution,[],[f1337,f1277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG359-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n009.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 20:10:15 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.28 Running first-order theorem proving
% 0.10/0.28 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
% 12.90/2.75 % (3411678)Input is clausal, will run a generic CNF schedule.
% 12.90/2.75 % (3411683)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=946337273:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.90/2.75 % (3411688)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=964781165:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.90/2.75 % (3411687)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1458108689:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.90/2.75 % (3411685)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3295146018:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.90/2.75 % (3411684)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=666767179:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.90/2.75 % (3411686)lrs+10_1_sil=8000:sp=occurrence:random_seed=1525029345:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.90/2.75 % (3411689)dis-21_1_sil=8000:lcm=predicate:random_seed=3074446563: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)
% 12.90/2.75 % (3411688)Instruction limit reached!
% 12.90/2.75 % (3411688)------------------------------
% 12.90/2.75 % (3411688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411688)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411688)Termination reason: Instruction limit
% 12.90/2.75 % (3411688)Termination phase: Saturation
% 12.90/2.75 % (3411688)Time elapsed: 0.109 s
% 12.90/2.75 % (3411688)Peak memory usage: 90 MB
% 12.90/2.75 % (3411688)Instructions burned: 181 (million)
% 12.90/2.75 % (3411686)Instruction limit reached!
% 12.90/2.75 % (3411686)------------------------------
% 12.90/2.75 % (3411686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411686)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411686)Termination reason: Instruction limit
% 12.90/2.75 % (3411686)Termination phase: Saturation
% 12.90/2.75 % (3411686)Time elapsed: 0.119 s
% 12.90/2.75 % (3411686)Peak memory usage: 89 MB
% 12.90/2.75 % (3411686)Instructions burned: 107 (million)
% 12.90/2.75 % (3411687)Instruction limit reached!
% 12.90/2.75 % (3411687)------------------------------
% 12.90/2.75 % (3411687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411687)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411687)Termination reason: Instruction limit
% 12.90/2.75 % (3411687)Termination phase: Saturation
% 12.90/2.75 % (3411687)Time elapsed: 0.123 s
% 12.90/2.75 % (3411687)Peak memory usage: 89 MB
% 12.90/2.75 % (3411687)Instructions burned: 114 (million)
% 12.90/2.75 % (3411689)Instruction limit reached!
% 12.90/2.75 % (3411689)------------------------------
% 12.90/2.75 % (3411689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411689)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411689)Termination reason: Instruction limit
% 12.90/2.75 % (3411689)Termination phase: Saturation
% 12.90/2.75 % (3411689)Time elapsed: 0.114 s
% 12.90/2.75 % (3411689)Peak memory usage: 89 MB
% 12.90/2.75 % (3411689)Instructions burned: 117 (million)
% 12.90/2.75 % (3411697)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=2703121112:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 12.90/2.75 % (3411697)Refutation not found, incomplete strategy
% 12.90/2.75 % (3411697)------------------------------
% 12.90/2.75 % (3411697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411697)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411697)Termination reason: Refutation not found, incomplete strategy
% 12.90/2.75 % (3411697)Time elapsed: 0.007 s
% 12.90/2.75 % (3411697)Peak memory usage: 89 MB
% 12.90/2.75 % (3411697)Instructions burned: 11 (million)
% 12.90/2.75 % (3411698)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3773632964:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 12.90/2.75 % (3411699)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3204881706:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 12.90/2.75 % (3411698)Instruction limit reached!
% 12.90/2.75 % (3411698)------------------------------
% 12.90/2.75 % (3411698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411698)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411698)Termination reason: Instruction limit
% 12.90/2.75 % (3411698)Termination phase: Saturation
% 12.90/2.75 % (3411698)Time elapsed: 0.121 s
% 12.90/2.75 % (3411698)Peak memory usage: 91 MB
% 12.90/2.75 % (3411698)Instructions burned: 190 (million)
% 12.90/2.75 % (3411700)lrs+10_64_to=lpo:sil=8000:random_seed=1170559189:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.90/2.75 % (3411697)------------------------------
% 12.90/2.75 % (3411697)------------------------------
% 12.90/2.75 % (3411700)Instruction limit reached!
% 12.90/2.75 % (3411700)------------------------------
% 12.90/2.75 % (3411700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411700)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411700)Termination reason: Instruction limit
% 12.90/2.75 % (3411700)Termination phase: Saturation
% 12.90/2.75 % (3411700)Time elapsed: 0.140 s
% 12.90/2.75 % (3411700)Peak memory usage: 90 MB
% 12.90/2.75 % (3411700)Instructions burned: 126 (million)
% 12.90/2.75 % (3411699)Instruction limit reached!
% 12.90/2.75 % (3411699)------------------------------
% 12.90/2.75 % (3411699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411699)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411699)Termination reason: Instruction limit
% 12.90/2.75 % (3411699)Termination phase: Saturation
% 12.90/2.75 % (3411699)Time elapsed: 0.210 s
% 12.90/2.75 % (3411699)Peak memory usage: 91 MB
% 12.90/2.75 % (3411699)Instructions burned: 220 (million)
% 12.90/2.75 % (3411704)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3482945178:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 12.90/2.75 % (3411706)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=33695139:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 12.90/2.75 % (3411706)Instruction limit reached!
% 12.90/2.75 % (3411706)------------------------------
% 12.90/2.75 % (3411706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411706)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411706)Termination reason: Instruction limit
% 12.90/2.75 % (3411706)Termination phase: Saturation
% 12.90/2.75 % (3411706)Time elapsed: 0.089 s
% 12.90/2.75 % (3411706)Peak memory usage: 91 MB
% 12.90/2.75 % (3411706)Instructions burned: 158 (million)
% 12.90/2.75 % (3411707)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2720126803:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 12.90/2.75 % (3411708)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=50320008:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 12.90/2.75 % (3411704)Instruction limit reached!
% 12.90/2.75 % (3411704)------------------------------
% 12.90/2.75 % (3411704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.75 % (3411704)CaDiCaL version: 2.1.3
% 12.90/2.75 % (3411704)Termination reason: Instruction limit
% 12.90/2.75 % (3411704)Termination phase: Saturation
% 12.90/2.75 % (3411704)Time elapsed: 0.227 s
% 12.90/2.75 % (3411704)Peak memory usage: 91 MB
% 12.90/2.75 % (3411704)Instructions burned: 195 (million)
% 12.90/2.75 % (3411708)Instruction limit reached!
% 12.90/2.75 % (3411708)------------------------------
% 12.90/2.75 % (3411708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.75 % (3411708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.97 % (3411708)CaDiCaL version: 2.1.3
% 14.06/2.97 % (3411708)Termination reason: Instruction limit
% 14.06/2.97 % (3411708)Termination phase: Saturation
% 14.06/2.97 % (3411708)Time elapsed: 0.091 s
% 14.06/2.97 % (3411708)Peak memory usage: 90 MB
% 14.06/2.97 % (3411708)Instructions burned: 107 (million)
% 14.06/2.97 % (3411711)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=849272740:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 14.06/2.97 % (3411711)Refutation not found, incomplete strategy
% 14.06/2.97 % (3411711)------------------------------
% 14.06/2.97 % (3411711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.06/2.97 % (3411711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.97 % (3411711)CaDiCaL version: 2.1.3
% 14.06/2.97 % (3411711)Termination reason: Refutation not found, incomplete strategy
% 14.06/2.97 % (3411711)Time elapsed: 0.010 s
% 14.06/2.97 % (3411711)Peak memory usage: 89 MB
% 14.06/2.97 % (3411711)Instructions burned: 26 (million)
% 14.06/2.97 % (3411683)First to succeed.
% 14.06/2.97 % (3411683)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3411678"
% 14.06/2.97 % (3411711)------------------------------
% 14.06/2.97 % (3411711)------------------------------
% 14.06/2.97 % (3411715)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3923233566:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 14.06/2.97 % (3411684)Also succeeded, but the first one will report.
% 14.06/2.97 % (3411716)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4026729854:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 14.06/2.97 % (3411685)Also succeeded, but the first one will report.
% 14.06/2.97 % (3411720)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=705485818:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 14.06/2.97 % (3411715)Instruction limit reached!
% 14.06/2.97 % (3411715)------------------------------
% 14.06/2.97 % (3411715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.06/2.97 % (3411715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.97 % (3411715)CaDiCaL version: 2.1.3
% 14.06/2.97 % (3411715)Termination reason: Instruction limit
% 14.06/2.97 % (3411715)Termination phase: Saturation
% 14.06/2.97 % (3411715)Time elapsed: 0.257 s
% 14.06/2.97 % (3411715)Peak memory usage: 90 MB
% 14.06/2.97 % (3411715)Instructions burned: 242 (million)
% 14.06/2.97 % (3411720)Instruction limit reached!
% 14.06/2.97 % (3411720)------------------------------
% 14.06/2.97 % (3411720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.06/2.97 % (3411720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.97 % (3411720)CaDiCaL version: 2.1.3
% 14.06/2.97 % (3411720)Termination reason: Instruction limit
% 14.06/2.97 % (3411720)Termination phase: Saturation
% 14.06/2.97 % (3411720)Time elapsed: 0.073 s
% 14.06/2.97 % (3411720)Peak memory usage: 90 MB
% 14.06/2.97 % (3411720)Instructions burned: 134 (million)
% 14.06/2.97 % (3411683)Refutation found. Thanks to Tanya!
% 14.06/2.97 % SZS status Unsatisfiable for theBenchmark
% 14.06/2.97 % SZS output start Proof for theBenchmark
% See solution above
% 14.06/2.97 % (3411683)------------------------------
% 14.06/2.97 % (3411683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.06/2.97 % (3411683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.97 % (3411683)CaDiCaL version: 2.1.3
% 14.06/2.97 % (3411683)Termination reason: Refutation
% 14.06/2.97 % (3411683)Time elapsed: 1.287 s
% 14.06/2.97 % (3411683)Peak memory usage: 140 MB
% 14.06/2.97 % (3411683)Instructions burned: 1235 (million)
% 14.06/2.97 % (3411683)------------------------------
% 14.06/2.97 % (3411683)------------------------------
% 14.06/2.97 % (3411678)Success in time 1.922 s
% 14.06/2.97 % Vampire exiting
%------------------------------------------------------------------------------