%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA028-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:30:56 AM UTC 2026
% Result : Unsatisfiable 3.12s 1.12s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 14 unt; 2 def)
% Number of atoms : 153 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 162 ( 81 ~; 79 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 123 ( 0 sgn 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__5_0) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_plus(X1,X3,X0),X2,X0) = c_minus(X1,c_minus(X2,X3,X0),X0) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,c_plus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_minus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(X1,c_minus(X3,X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
fof(f8,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X1,X0) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f9,plain,
! [X0,X1] :
( c_0 = c_minus(X1,X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
! [X0] : c_lessequals(v_g(X0),v_k(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f11,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f12,axiom,
! [X0] :
( class_OrderedGroup_Ocomm__monoid__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f13,axiom,
! [X0] :
( class_OrderedGroup_Oab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f14,axiom,
! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f15,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f16,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_plus(c_0,X0,X1) = X0 ),
inference(resolution,[],[f1,f12]) ).
fof(f17,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f16,f15]) ).
fof(f22,definition,
( spl0_1
<=> class_OrderedGroup_Opordered__ab__group__add(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f23,plain,
( class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f24,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_plus(c_minus(X0,X1,X2),X3,X2) = c_minus(c_plus(X0,X3,X2),X1,X2) ),
inference(resolution,[],[f3,f13]) ).
fof(f34,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f24,f14]) ).
fof(f35,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f34,f15]) ).
fof(f36,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_minus(c_plus(X0,X1,X2),X3,X2) = c_minus(X0,c_minus(X3,X1,X2),X2) ),
inference(resolution,[],[f5,f13]) ).
fof(f41,definition,
( spl0_4
<=> class_OrderedGroup_Oab__group__add(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f42,plain,
( class_OrderedGroup_Oab__group__add(t_b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f52,plain,
! [X2,X0,X1] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
inference(resolution,[],[f33,f15]) ).
fof(f53,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_4 ),
inference(resolution,[],[f43,f13]) ).
fof(f54,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f53,f15]) ).
fof(f55,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f56,plain,
! [X2,X0,X1] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(resolution,[],[f37,f15]) ).
fof(f68,plain,
! [X0,X1] :
( c_minus(c_plus(X0,X1,t_b),X0,t_b) = c_plus(c_0,X1,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[],[f52,f9]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_minus(c_plus(X0,X1,t_b),X2,t_b),X3,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(X0,X2,t_b),c_minus(X3,X1,t_b),t_b) ),
inference(superposition,[],[f7,f52]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,c_minus(c_plus(X0,X1,t_b),X2,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(X3,X1,t_b),c_minus(X0,X2,t_b),t_b) ),
inference(superposition,[],[f6,f52]) ).
fof(f74,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,c_minus(c_plus(X0,X1,t_b),X2,t_b),t_b)
| c_lessequals(c_minus(X3,X1,t_b),c_minus(X0,X2,t_b),t_b) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f71,f23]) ).
fof(f75,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(c_minus(c_plus(X0,X1,t_b),X2,t_b),X3,t_b)
| c_lessequals(c_minus(X0,X2,t_b),c_minus(X3,X1,t_b),t_b) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f70,f23]) ).
fof(f77,plain,
( ! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = c_plus(c_0,X1,t_b)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f68,f42]) ).
fof(f80,plain,
( ! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f77,f17]) ).
fof(f81,plain,
( ! [X0] : c_minus(X0,c_0,t_b) = X0
| ~ spl0_4 ),
inference(superposition,[],[f80,f17]) ).
fof(f87,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_minus(c_0,c_minus(X1,X0,t_b),t_b),
inference(superposition,[],[f56,f17]) ).
fof(f90,plain,
( ! [X0,X1] : c_minus(X1,c_minus(X1,X0,t_b),t_b) = X0
| ~ spl0_4 ),
inference(superposition,[],[f56,f80]) ).
fof(f93,plain,
! [X0,X1] :
( c_0 = c_minus(X0,c_minus(c_plus(X0,X1,t_b),X1,t_b),t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[],[f9,f56]) ).
fof(f99,plain,
( ! [X0,X1] : c_0 = c_minus(X0,c_minus(c_plus(X0,X1,t_b),X1,t_b),t_b)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f93,f42]) ).
fof(f105,plain,
( ! [X0,X1] : c_0 = c_minus(X0,c_minus(X0,c_minus(X1,X1,t_b),t_b),t_b)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f99,f56]) ).
fof(f111,plain,
( ! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X0,c_minus(c_0,X1,t_b),t_b)
| ~ spl0_4 ),
inference(superposition,[],[f81,f56]) ).
fof(f133,plain,
( ! [X1] : c_0 = c_minus(X1,X1,t_b)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f105,f90]) ).
fof(f166,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,c_minus(X0,c_minus(X2,X1,t_b),t_b),t_b)
| c_lessequals(c_minus(X3,X1,t_b),c_minus(X0,X2,t_b),t_b) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f74,f56]) ).
fof(f171,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(c_minus(X0,c_minus(X2,X1,t_b),t_b),X3,t_b)
| c_lessequals(c_minus(X0,X2,t_b),c_minus(X3,X1,t_b),t_b) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f75,f56]) ).
fof(f223,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,c_minus(X1,c_0,t_b),t_b)
| c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b) )
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f166,f133]) ).
fof(f240,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b) )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f223,f81]) ).
fof(f246,plain,
( ! [X0,X1] : c_minus(c_0,X0,t_b) = c_minus(c_minus(X1,X0,t_b),X1,t_b)
| ~ spl0_4 ),
inference(superposition,[],[f87,f90]) ).
fof(f531,plain,
( ! [X0,X1] : c_minus(c_0,X1,t_b) = c_minus(X0,c_plus(X1,X0,t_b),t_b)
| ~ spl0_4 ),
inference(superposition,[],[f246,f80]) ).
fof(f1244,plain,
( ! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X1,c_minus(c_0,X0,t_b),t_b)
| ~ spl0_4 ),
inference(superposition,[],[f90,f531]) ).
fof(f1620,plain,
( ! [X0,X1] : c_plus(X0,X1,t_b) = c_plus(X1,X0,t_b)
| ~ spl0_4 ),
inference(superposition,[],[f1244,f111]) ).
fof(f1853,plain,
( ! [X0,X1] : c_lessequals(c_minus(v_g(X0),X1,t_b),c_minus(v_k(X0),X1,t_b),t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f240,f10]) ).
fof(f1952,plain,
( ! [X0,X1] : c_lessequals(X0,c_minus(v_k(X1),c_minus(v_g(X1),X0,t_b),t_b),t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f1853,f90]) ).
fof(f2264,plain,
( ! [X0,X1] : c_lessequals(c_plus(X0,v_g(X1),t_b),c_minus(v_k(X1),c_minus(c_0,X0,t_b),t_b),t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f1952,f531]) ).
fof(f2270,plain,
( ! [X0,X1] : c_lessequals(c_plus(X0,v_g(X1),t_b),c_plus(v_k(X1),X0,t_b),t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2264,f111]) ).
fof(f3045,plain,
( ! [X0,X1] : c_lessequals(c_plus(X0,v_g(X1),t_b),c_plus(X0,v_k(X1),t_b),t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f2270,f1620]) ).
fof(f3151,plain,
( ! [X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(c_plus(X0,v_g(X1),t_b),v_k(X1),t_b),X0,t_b) )
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f3045,f6]) ).
fof(f3168,plain,
( ! [X0,X1] : c_lessequals(c_minus(c_plus(X0,v_g(X1),t_b),v_k(X1),t_b),X0,t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f3151,f23]) ).
fof(f3174,plain,
( ! [X0,X1] : c_lessequals(c_minus(X0,c_minus(v_k(X1),v_g(X1),t_b),t_b),X0,t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f3168,f56]) ).
fof(f3208,plain,
( ! [X0,X1] : c_lessequals(c_minus(X0,v_k(X1),t_b),c_minus(X0,v_g(X1),t_b),t_b)
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f3174,f171]) ).
fof(f3400,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f3208,f11]) ).
fof(f3423,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f3400]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f36]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f55]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f3423]) ).
cnf(s7,plain,
~ spl0_1,
inference(rat,[],[s6,s5]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s7]) ).
fof(f3470,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA028-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n011.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:31:01 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.12/1.12 % (3735237)Input is clausal, will run a generic CNF schedule.
% 3.12/1.12 % (3735242)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=3938138374:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.12/1.12 % (3735245)lrs+10_1_sil=8000:sp=occurrence:random_seed=1402959980:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.12/1.12 % (3735243)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3555534254:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.12/1.12 % (3735247)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3895448401:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.12/1.12 % (3735248)dis-21_1_sil=8000:lcm=predicate:random_seed=325072251: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)
% 3.12/1.12 % (3735246)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1379448514:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.12/1.12 % (3735244)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1313520992:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.12/1.12 % (3735248)Refutation not found, incomplete strategy
% 3.12/1.12 % (3735248)------------------------------
% 3.12/1.12 % (3735248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.12 % (3735248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.12 % (3735248)CaDiCaL version: 2.1.3
% 3.12/1.12 % (3735248)Termination reason: Refutation not found, incomplete strategy
% 3.12/1.12 % (3735248)Time elapsed: 0.001 s
% 3.12/1.12 % (3735248)Peak memory usage: 88 MB
% 3.12/1.12 % (3735248)Instructions burned: 1 (million)
% 3.12/1.12 % (3735247)First to succeed.
% 3.12/1.12 % (3735246)Instruction limit reached!
% 3.12/1.12 % (3735246)------------------------------
% 3.12/1.12 % (3735246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.12 % (3735246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.12 % (3735246)CaDiCaL version: 2.1.3
% 3.12/1.12 % (3735246)Termination reason: Instruction limit
% 3.12/1.12 % (3735246)Termination phase: Saturation
% 3.12/1.12 % (3735246)Time elapsed: 0.062 s
% 3.12/1.12 % (3735246)Peak memory usage: 88 MB
% 3.12/1.12 % (3735246)Instructions burned: 115 (million)
% 3.12/1.12 % (3735247)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3735237"
% 3.12/1.12 % (3735245)Instruction limit reached!
% 3.12/1.12 % (3735245)------------------------------
% 3.12/1.12 % (3735245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.12 % (3735245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.12 % (3735245)CaDiCaL version: 2.1.3
% 3.12/1.12 % (3735245)Termination reason: Instruction limit
% 3.12/1.12 % (3735245)Termination phase: Saturation
% 3.12/1.12 % (3735245)Time elapsed: 0.063 s
% 3.12/1.12 % (3735245)Peak memory usage: 89 MB
% 3.12/1.12 % (3735245)Instructions burned: 107 (million)
% 3.12/1.12 % (3735257)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3814047409: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)
% 3.12/1.12 % (3735256)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=1511345933:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.12/1.12 % (3735256)Refutation not found, incomplete strategy
% 3.12/1.12 % (3735256)------------------------------
% 3.12/1.12 % (3735256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.12 % (3735256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.12 % (3735256)CaDiCaL version: 2.1.3
% 3.12/1.12 % (3735256)Termination reason: Refutation not found, incomplete strategy
% 3.12/1.12 % (3735256)Time elapsed: 0.001 s
% 3.12/1.12 % (3735256)Peak memory usage: 87 MB
% 3.12/1.12 % (3735248)------------------------------
% 3.12/1.12 % (3735248)------------------------------
% 3.12/1.12 % (3735247)Refutation found. Thanks to Tanya!
% 3.12/1.12 % SZS status Unsatisfiable for theBenchmark
% 3.12/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (3735247)------------------------------
% 0.19/1.30 % (3735247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3735247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3735247)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3735247)Termination reason: Refutation
% 0.19/1.30 % (3735247)Time elapsed: 0.062 s
% 0.19/1.30 % (3735247)Peak memory usage: 90 MB
% 0.19/1.30 % (3735247)Instructions burned: 107 (million)
% 0.19/1.30 % (3735247)------------------------------
% 0.19/1.30 % (3735247)------------------------------
% 0.19/1.30 % (3735237)Success in time 0.465 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------