%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV674-1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:15 PM UTC 2026
% Result : Unsatisfiable 11.91s 2.86s
% Output : Refutation 11.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 61 ( 37 unt; 9 def)
% Number of atoms : 88 ( 47 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 27 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,axiom,
c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__number__of__Min_0) ).
fof(f415,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_0) ).
fof(f416,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oone__class_Oone(X0) = c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) ),
inference(reorient_equations,[],[f415]) ).
fof(f439,axiom,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
fof(f637,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Odivision__ring(X0)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0)
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__power__inverse_0) ).
fof(f638,plain,
! [X2,X0,X1] :
( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__ring(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f637]) ).
fof(f687,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nz_0) ).
fof(f701,axiom,
! [X0] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).
fof(f747,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f749,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f753,axiom,
! [X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| class_Ring__and__Field_Ocomm__semiring__1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Ocomm__semiring__1) ).
fof(f756,axiom,
! [X0] :
( class_Ring__and__Field_Odivision__ring(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_Ring__and__Field_Odivision__ring) ).
fof(f820,definition,
sF0 = c_HOL_Ozero__class_Ozero(tc_nat),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f821,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = sF0,
inference(reorient_equations,[],[f820]) ).
fof(f823,definition,
sF1 = c_HOL_Oinverse__class_Oinverse(v_a,t_a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f824,plain,
c_HOL_Oinverse__class_Oinverse(v_a,t_a) = sF1,
inference(reorient_equations,[],[f823]) ).
fof(f825,definition,
sF2 = c_HOL_Ominus__class_Ominus(v_x,sF0,tc_nat),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f826,plain,
c_HOL_Ominus__class_Ominus(v_x,sF0,tc_nat) = sF2,
inference(reorient_equations,[],[f825]) ).
fof(f827,definition,
sF3 = c_Power_Opower__class_Opower(sF1,sF2,t_a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f828,plain,
c_Power_Opower__class_Opower(sF1,sF2,t_a) = sF3,
inference(reorient_equations,[],[f827]) ).
fof(f829,definition,
sF4 = c_Power_Opower__class_Opower(v_a,sF0,t_a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f830,plain,
c_Power_Opower__class_Opower(v_a,sF0,t_a) = sF4,
inference(reorient_equations,[],[f829]) ).
fof(f831,definition,
sF5 = c_Power_Opower__class_Opower(v_a,v_x,t_a),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f832,plain,
c_Power_Opower__class_Opower(v_a,v_x,t_a) = sF5,
inference(reorient_equations,[],[f831]) ).
fof(f833,definition,
sF6 = c_HOL_Oinverse__class_Odivide(sF4,sF5,t_a),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f834,plain,
c_HOL_Oinverse__class_Odivide(sF4,sF5,t_a) = sF6,
inference(reorient_equations,[],[f833]) ).
fof(f835,plain,
sF3 != sF6,
inference(definition_folding,[],[f749,f834,f832,f830,f821,f828,f826,f821,f824]) ).
fof(f836,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference(forward_subsumption_resolution,[],[f687,f747]) ).
fof(f844,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(backward_demodulation,[],[f416,f161]) ).
fof(f872,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat),tc_nat) = X0,
inference(backward_demodulation,[],[f701,f161]) ).
fof(f876,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat) = sF0,
inference(backward_demodulation,[],[f161,f821]) ).
fof(f877,plain,
sF3 = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),sF2,t_a),
inference(forward_demodulation,[],[f828,f824]) ).
fof(f878,plain,
sF6 = c_HOL_Oinverse__class_Odivide(sF4,c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(forward_demodulation,[],[f834,f832]) ).
fof(f889,plain,
! [X0,X1] :
( c_HOL_Oone__class_Oone(X0) = c_Power_Opower__class_Opower(X1,sF0,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(backward_demodulation,[],[f844,f876]) ).
fof(f913,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,sF0,tc_nat) = X0,
inference(backward_demodulation,[],[f872,f876]) ).
fof(f921,plain,
v_x = sF2,
inference(backward_demodulation,[],[f826,f913]) ).
fof(f922,plain,
sF3 = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a),
inference(backward_demodulation,[],[f877,f921]) ).
fof(f1059,plain,
( sF3 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)
| ~ class_Ring__and__Field_Odivision__ring(t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a) ),
inference(superposition,[],[f638,f922]) ).
fof(f1068,plain,
( sF3 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)
| ~ class_Ring__and__Field_Odivision__ring(t_a) ),
inference(forward_subsumption_resolution,[],[f1059,f836]) ).
fof(f1070,definition,
( spl7_16
<=> class_Ring__and__Field_Odivision__ring(t_a) ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
fof(f1072,plain,
( ~ class_Ring__and__Field_Odivision__ring(t_a)
| spl7_16 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1074,definition,
( spl7_17
<=> sF3 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
fof(f1076,plain,
( sF3 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1078,plain,
( ~ spl7_16
| spl7_17 ),
inference(avatar_split_clause,[],[f1068,f1074,f1070]) ).
fof(f1117,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_a),
inference(resolution,[],[f753,f747]) ).
fof(f1137,plain,
( sF4 = c_HOL_Oone__class_Oone(t_a)
| ~ class_Ring__and__Field_Ocomm__semiring__1(t_a) ),
inference(superposition,[],[f830,f889]) ).
fof(f1143,plain,
sF4 = c_HOL_Oone__class_Oone(t_a),
inference(forward_subsumption_resolution,[],[f1137,f1117]) ).
fof(f1152,plain,
sF6 = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(backward_demodulation,[],[f878,f1143]) ).
fof(f1274,plain,
( sF6 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(superposition,[],[f1152,f439]) ).
fof(f1280,plain,
sF6 = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(forward_subsumption_resolution,[],[f1274,f747]) ).
fof(f1878,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| spl7_16 ),
inference(resolution,[],[f1072,f756]) ).
fof(f1879,plain,
( $false
| spl7_16 ),
inference(forward_subsumption_resolution,[],[f1878,f747]) ).
fof(f1880,plain,
spl7_16,
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1881,plain,
( sF3 = sF6
| ~ spl7_17 ),
inference(backward_demodulation,[],[f1280,f1076]) ).
fof(f1889,plain,
( $false
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f1881,f835]) ).
fof(f1890,plain,
~ spl7_17,
inference(avatar_contradiction_clause,[],[f1889]) ).
cnf(s12,plain,
( ~ spl7_16
| spl7_17 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s26,plain,
spl7_16,
inference(sat_conversion,[],[f1880]) ).
cnf(s27,plain,
~ spl7_17,
inference(sat_conversion,[],[f1890]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s12,s27,s26]) ).
fof(f1920,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV674-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n018.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 12:14:54 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.29 Running first-order theorem proving
% 0.26/0.29 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
% 10.72/2.59 % (3335473)Input is clausal, will run a generic CNF schedule.
% 10.72/2.59 % (3335480)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=59675798:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.72/2.59 % (3335482)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2981747797:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.72/2.59 % (3335479)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4257651034:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.72/2.59 % (3335478)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=3509001323:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.72/2.59 % (3335484)dis-21_1_sil=8000:lcm=predicate:random_seed=2312693539: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)
% 10.72/2.59 % (3335481)lrs+10_1_sil=8000:sp=occurrence:random_seed=86015265:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.72/2.59 % (3335483)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2197019842:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.72/2.59 % (3335482)Instruction limit reached!
% 10.72/2.59 % (3335482)------------------------------
% 10.72/2.59 % (3335482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335482)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335482)Termination reason: Instruction limit
% 10.72/2.59 % (3335482)Termination phase: Saturation
% 10.72/2.59 % (3335482)Time elapsed: 0.121 s
% 10.72/2.59 % (3335482)Peak memory usage: 89 MB
% 10.72/2.59 % (3335482)Instructions burned: 114 (million)
% 10.72/2.59 % (3335481)Instruction limit reached!
% 10.72/2.59 % (3335481)------------------------------
% 10.72/2.59 % (3335481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335481)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335481)Termination reason: Instruction limit
% 10.72/2.59 % (3335481)Termination phase: Saturation
% 10.72/2.59 % (3335481)Time elapsed: 0.110 s
% 10.72/2.59 % (3335481)Peak memory usage: 89 MB
% 10.72/2.59 % (3335481)Instructions burned: 107 (million)
% 10.72/2.59 % (3335484)Instruction limit reached!
% 10.72/2.59 % (3335484)------------------------------
% 10.72/2.59 % (3335484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335484)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335484)Termination reason: Instruction limit
% 10.72/2.59 % (3335484)Termination phase: Saturation
% 10.72/2.59 % (3335484)Time elapsed: 0.118 s
% 10.72/2.59 % (3335484)Peak memory usage: 89 MB
% 10.72/2.59 % (3335484)Instructions burned: 117 (million)
% 10.72/2.59 % (3335483)Instruction limit reached!
% 10.72/2.59 % (3335483)------------------------------
% 10.72/2.59 % (3335483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335483)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335483)Termination reason: Instruction limit
% 10.72/2.59 % (3335483)Termination phase: Saturation
% 10.72/2.59 % (3335483)Time elapsed: 0.186 s
% 10.72/2.59 % (3335483)Peak memory usage: 90 MB
% 10.72/2.59 % (3335483)Instructions burned: 180 (million)
% 10.72/2.59 % (3335492)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=2936476173:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.72/2.59 % (3335492)Refutation not found, incomplete strategy
% 10.72/2.59 % (3335492)------------------------------
% 10.72/2.59 % (3335492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335492)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335492)Termination reason: Refutation not found, incomplete strategy
% 10.72/2.59 % (3335492)Time elapsed: 0.008 s
% 10.72/2.59 % (3335492)Peak memory usage: 89 MB
% 10.72/2.59 % (3335492)Instructions burned: 6 (million)
% 10.72/2.59 % (3335493)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2279814267: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)
% 10.72/2.59 % (3335495)lrs+10_64_to=lpo:sil=8000:random_seed=197462022:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 10.72/2.59 % (3335494)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1966156295:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.72/2.59 % (3335495)Instruction limit reached!
% 10.72/2.59 % (3335495)------------------------------
% 10.72/2.59 % (3335495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335495)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335495)Termination reason: Instruction limit
% 10.72/2.59 % (3335495)Termination phase: Saturation
% 10.72/2.59 % (3335495)Time elapsed: 0.083 s
% 10.72/2.59 % (3335495)Peak memory usage: 89 MB
% 10.72/2.59 % (3335495)Instructions burned: 126 (million)
% 10.72/2.59 % (3335493)Instruction limit reached!
% 10.72/2.59 % (3335493)------------------------------
% 10.72/2.59 % (3335493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335493)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335493)Termination reason: Instruction limit
% 10.72/2.59 % (3335493)Termination phase: Saturation
% 10.72/2.59 % (3335493)Time elapsed: 0.185 s
% 10.72/2.59 % (3335493)Peak memory usage: 90 MB
% 10.72/2.59 % (3335493)Instructions burned: 189 (million)
% 10.72/2.59 % (3335494)Instruction limit reached!
% 10.72/2.59 % (3335494)------------------------------
% 10.72/2.59 % (3335494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335494)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335494)Termination reason: Instruction limit
% 10.72/2.59 % (3335494)Termination phase: Saturation
% 10.72/2.59 % (3335494)Time elapsed: 0.189 s
% 10.72/2.59 % (3335494)Peak memory usage: 90 MB
% 10.72/2.59 % (3335494)Instructions burned: 219 (million)
% 10.72/2.59 % (3335500)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3823411463:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 10.72/2.59 % (3335492)------------------------------
% 10.72/2.59 % (3335492)------------------------------
% 10.72/2.59 % (3335500)Instruction limit reached!
% 10.72/2.59 % (3335500)------------------------------
% 10.72/2.59 % (3335500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335500)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335500)Termination reason: Instruction limit
% 10.72/2.59 % (3335500)Termination phase: Saturation
% 10.72/2.59 % (3335500)Time elapsed: 0.123 s
% 10.72/2.59 % (3335500)Peak memory usage: 90 MB
% 10.72/2.59 % (3335500)Instructions burned: 195 (million)
% 10.72/2.59 % (3335502)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1475367649:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 10.72/2.59 % (3335480)First to succeed.
% 10.72/2.59 % (3335480)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3335473"
% 10.72/2.59 % (3335504)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1417855108:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 10.72/2.59 % (3335502)Instruction limit reached!
% 10.72/2.59 % (3335502)------------------------------
% 10.72/2.59 % (3335502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.72/2.59 % (3335502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.72/2.59 % (3335502)CaDiCaL version: 2.1.3
% 10.72/2.59 % (3335502)Termination reason: Instruction limit
% 10.72/2.59 % (3335502)Termination phase: Saturation
% 10.72/2.59 % (3335502)Time elapsed: 0.165 s
% 10.72/2.59 % (3335502)Peak memory usage: 90 MB
% 10.72/2.59 % (3335502)Instructions burned: 157 (million)
% 10.72/2.59 % (3335507)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1499379895:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 10.72/2.59 % (3335506)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=2429601288:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 11.91/2.86 % (3335479)Also succeeded, but the first one will report.
% 11.91/2.86 % (3335506)Instruction limit reached!
% 11.91/2.86 % (3335506)------------------------------
% 11.91/2.86 % (3335506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.86 % (3335506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.86 % (3335506)CaDiCaL version: 2.1.3
% 11.91/2.86 % (3335506)Termination reason: Instruction limit
% 11.91/2.86 % (3335506)Termination phase: Saturation
% 11.91/2.86 % (3335506)Time elapsed: 0.085 s
% 11.91/2.86 % (3335506)Peak memory usage: 89 MB
% 11.91/2.86 % (3335506)Instructions burned: 106 (million)
% 11.91/2.86 % (3335507)Instruction limit reached!
% 11.91/2.86 % (3335507)------------------------------
% 11.91/2.86 % (3335507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.86 % (3335507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.86 % (3335507)CaDiCaL version: 2.1.3
% 11.91/2.86 % (3335507)Termination reason: Instruction limit
% 11.91/2.86 % (3335507)Termination phase: Saturation
% 11.91/2.86 % (3335507)Time elapsed: 0.101 s
% 11.91/2.86 % (3335507)Peak memory usage: 89 MB
% 11.91/2.86 % (3335507)Instructions burned: 107 (million)
% 11.91/2.86 % (3335478)Also succeeded, but the first one will report.
% 11.91/2.86 % (3335510)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3430682460:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 11.91/2.86 % (3335480)Refutation found. Thanks to Tanya!
% 11.91/2.86 % SZS status Unsatisfiable for theBenchmark
% 11.91/2.86 % SZS output start Proof for theBenchmark
% See solution above
% 11.91/2.86 % (3335480)------------------------------
% 11.91/2.86 % (3335480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.86 % (3335480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.86 % (3335480)CaDiCaL version: 2.1.3
% 11.91/2.86 % (3335480)Termination reason: Refutation
% 11.91/2.86 % (3335480)Time elapsed: 0.937 s
% 11.91/2.86 % (3335480)Peak memory usage: 133 MB
% 11.91/2.86 % (3335480)Instructions burned: 1228 (million)
% 11.91/2.86 % (3335480)------------------------------
% 11.91/2.86 % (3335480)------------------------------
% 11.91/2.86 % (3335473)Success in time 1.596 s
% 11.91/2.86 % Vampire exiting
%------------------------------------------------------------------------------