%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW259+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:39:43 PM UTC 2026
% Result : Theorem 6.42s 1.33s
% Output : Refutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 16 unt; 2 def)
% Number of atoms : 79 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 45 ~; 33 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
=> ? [X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096) ).
fof(f4,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_inv0) ).
fof(f27,axiom,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f1257,axiom,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
=> v_thesis____ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1258,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1259,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1258]) ).
fof(f1262,plain,
~ v_thesis____,
inference(flattening,[],[f1259]) ).
fof(f1264,plain,
! [X0] :
( ? [X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2403,plain,
! [X0] :
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(ennf_transformation,[],[f1257]) ).
fof(f2404,plain,
! [X0] :
( v_thesis____
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(flattening,[],[f2403]) ).
fof(f2406,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(cnf_transformation,[],[f1264]) ).
fof(f2407,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(cnf_transformation,[],[f1264]) ).
fof(f2408,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(cnf_transformation,[],[f1264]) ).
fof(f2410,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(cnf_transformation,[],[f4]) ).
fof(f2438,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(cnf_transformation,[],[f27]) ).
fof(f4026,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
| v_thesis____ ),
inference(cnf_transformation,[],[f2404]) ).
fof(f4027,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1262]) ).
fof(f4912,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
| ~ v_thesis____ ),
inference(consistent_polarity_flipping,[],[f4026]) ).
fof(f4913,plain,
v_thesis____,
inference(consistent_polarity_flipping,[],[f4027]) ).
fof(f4917,definition,
( spl35_1
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl35_1])],[avatar_definition]) ).
fof(f4921,definition,
( spl35_2
<=> ! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
introduced(definition,[new_symbols(definition,[spl35_2])],[avatar_definition]) ).
fof(f4922,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
| ~ spl35_2 ),
inference(avatar_component_clause,[],[f4921]) ).
fof(f4923,plain,
( ~ spl35_1
| spl35_2 ),
inference(avatar_split_clause,[],[f4912,f4921,f4917]) ).
fof(f4953,plain,
spl35_1,
inference(avatar_split_clause,[],[f4913,f4917]) ).
fof(f21401,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
inference(forward_demodulation,[],[f2410,f2438]) ).
fof(f29637,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
| ~ spl35_2 ),
inference(forward_demodulation,[],[f4922,f2438]) ).
fof(f29646,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))
| ~ spl35_2 ),
inference(resolution,[],[f29637,f2406]) ).
fof(f29647,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))
| ~ spl35_2 ),
inference(forward_subsumption_resolution,[],[f29646,f2408]) ).
fof(f29687,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))
| ~ spl35_2 ),
inference(forward_subsumption_resolution,[],[f29647,f2407]) ).
fof(f29689,plain,
( $false
| ~ spl35_2 ),
inference(forward_subsumption_resolution,[],[f29687,f21401]) ).
fof(f29690,plain,
~ spl35_2,
inference(avatar_contradiction_clause,[],[f29689]) ).
cnf(s1,plain,
( ~ spl35_1
| spl35_2 ),
inference(sat_conversion,[],[f4923]) ).
cnf(s7,plain,
spl35_1,
inference(sat_conversion,[],[f4953]) ).
cnf(s300,plain,
~ spl35_2,
inference(sat_conversion,[],[f29690]) ).
cnf(s306,plain,
$false,
inference(rat,[],[s1,s300,s7]) ).
fof(f29700,plain,
$false,
inference(avatar_sat_refutation,[],[s306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW259+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n016.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 13:30:18 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.42/1.33 % (3623093)Will run a generic schedule for satisfiability detection.
% 6.42/1.33 % (3623102)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=832192620:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 6.42/1.33 % (3623099)% WARNING: option uhcvi not known.
% 6.42/1.33 % (3623100)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3191593018:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 6.42/1.33 % (3623101)dis+10_1_sil=32000:sp=arity:random_seed=2321716529:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 6.42/1.33 % (3623099)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1895176647:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 6.42/1.33 % (3623103)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1850977253:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 6.42/1.33 % (3623104)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2915931420:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 6.42/1.33 % (3623098)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=26057967_2998 on theBenchmark for (2998ds/0Mi)
% 6.42/1.33 % (3623102)Instruction limit reached!
% 6.42/1.33 % (3623102)------------------------------
% 6.42/1.33 % (3623102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623102)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623102)Termination reason: Instruction limit
% 6.42/1.33 % (3623102)Termination phase: Saturation
% 6.42/1.33 % (3623102)Time elapsed: 0.056 s
% 6.42/1.33 % (3623102)Peak memory usage: 14 MB
% 6.42/1.33 % (3623102)Instructions burned: 117 (million)
% 6.42/1.33 % (3623112)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=11622696:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.42/1.33 % (3623101)Instruction limit reached!
% 6.42/1.33 % (3623101)------------------------------
% 6.42/1.33 % (3623101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623101)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623101)Termination reason: Instruction limit
% 6.42/1.33 % (3623101)Termination phase: Saturation
% 6.42/1.33 % (3623101)Time elapsed: 0.096 s
% 6.42/1.33 % (3623101)Peak memory usage: 14 MB
% 6.42/1.33 % (3623101)Instructions burned: 103 (million)
% 6.42/1.33 % (3623103)Instruction limit reached!
% 6.42/1.33 % (3623103)------------------------------
% 6.42/1.33 % (3623103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623103)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623103)Termination reason: Instruction limit
% 6.42/1.33 % (3623103)Termination phase: Saturation
% 6.42/1.33 % (3623103)Time elapsed: 0.124 s
% 6.42/1.33 % (3623103)Peak memory usage: 15 MB
% 6.42/1.33 % (3623103)Instructions burned: 131 (million)
% 6.42/1.33 % (3623114)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=809299211:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 6.42/1.33 % (3623104)Instruction limit reached!
% 6.42/1.33 % (3623104)------------------------------
% 6.42/1.33 % (3623104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623104)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623104)Termination reason: Instruction limit
% 6.42/1.33 % (3623104)Termination phase: Saturation
% 6.42/1.33 % (3623104)Time elapsed: 0.157 s
% 6.42/1.33 % (3623104)Peak memory usage: 16 MB
% 6.42/1.33 % (3623104)Instructions burned: 160 (million)
% 6.42/1.33 % (3623115)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2752858809:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 6.42/1.33 % (3623117)ott-21_1_sil=16000:fs=off:random_seed=987470805:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 6.42/1.33 % (3623114)Instruction limit reached!
% 6.42/1.33 % (3623114)------------------------------
% 6.42/1.33 % (3623114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623114)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623114)Termination reason: Instruction limit
% 6.42/1.33 % (3623114)Termination phase: Saturation
% 6.42/1.33 % (3623114)Time elapsed: 0.117 s
% 6.42/1.33 % (3623114)Peak memory usage: 14 MB
% 6.42/1.33 % (3623114)Instructions burned: 131 (million)
% 6.42/1.33 % (3623120)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3001890290:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 6.42/1.33 % TRYING [1]
% 6.42/1.33 % TRYING [2]
% 6.42/1.33 % (3623112)Instruction limit reached!
% 6.42/1.33 % (3623112)------------------------------
% 6.42/1.33 % (3623112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623112)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623112)Termination reason: Instruction limit
% 6.42/1.33 % (3623112)Termination phase: Finite model building constraint generation
% 6.42/1.33 % (3623112)Time elapsed: 0.275 s
% 6.42/1.33 % (3623112)Peak memory usage: 25 MB
% 6.42/1.33 % (3623112)Instructions burned: 716 (million)
% 6.42/1.33 % (3623122)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4111429390:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 6.42/1.33 % (3623117)Instruction limit reached!
% 6.42/1.33 % (3623117)------------------------------
% 6.42/1.33 % (3623117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623117)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623117)Termination reason: Instruction limit
% 6.42/1.33 % (3623117)Termination phase: Saturation
% 6.42/1.33 % (3623117)Time elapsed: 0.167 s
% 6.42/1.33 % (3623117)Peak memory usage: 14 MB
% 6.42/1.33 % (3623117)Instructions burned: 180 (million)
% 6.42/1.33 % (3623124)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3527314677:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 6.42/1.33 % TRYING [1]
% 6.42/1.33 % TRYING [1]
% 6.42/1.33 % TRYING [2]
% 6.42/1.33 % TRYING [2]
% 6.42/1.33 % (3623122)Instruction limit reached!
% 6.42/1.33 % (3623122)------------------------------
% 6.42/1.33 % (3623122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623122)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623122)Termination reason: Instruction limit
% 6.42/1.33 % (3623122)Termination phase: Finite model building constraint generation
% 6.42/1.33 % (3623122)Time elapsed: 0.218 s
% 6.42/1.33 % (3623122)Peak memory usage: 33 MB
% 6.42/1.33 % (3623122)Instructions burned: 869 (million)
% 6.42/1.33 % (3623126)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2435518079:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 6.42/1.33 % (3623120)Instruction limit reached!
% 6.42/1.33 % (3623120)------------------------------
% 6.42/1.33 % (3623120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623120)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623120)Termination reason: Instruction limit
% 6.42/1.33 % (3623120)Termination phase: Saturation
% 6.42/1.33 % (3623120)Time elapsed: 0.325 s
% 6.42/1.33 % (3623120)Peak memory usage: 16 MB
% 6.42/1.33 % (3623120)Instructions burned: 477 (million)
% 6.42/1.33 % (3623128)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3250262577:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 6.42/1.33 % (3623115)Instruction limit reached!
% 6.42/1.33 % (3623115)------------------------------
% 6.42/1.33 % (3623115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623115)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623115)Termination reason: Instruction limit
% 6.42/1.33 % (3623115)Termination phase: Saturation
% 6.42/1.33 % (3623115)Time elapsed: 0.531 s
% 6.42/1.33 % (3623115)Peak memory usage: 19 MB
% 6.42/1.33 % (3623115)Instructions burned: 684 (million)
% 6.42/1.33 % TRYING [3]
% 6.42/1.33 % (3623130)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1556799943:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 6.42/1.33 % (3623124)Instruction limit reached!
% 6.42/1.33 % (3623124)------------------------------
% 6.42/1.33 % (3623124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623124)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623124)Termination reason: Instruction limit
% 6.42/1.33 % (3623124)Termination phase: Saturation
% 6.42/1.33 % (3623124)Time elapsed: 0.521 s
% 6.42/1.33 % (3623124)Peak memory usage: 22 MB
% 6.42/1.33 % (3623124)Instructions burned: 1181 (million)
% 6.42/1.33 % (3623099) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3623093-3623099"...
% 6.42/1.33 % (3623099)...printing done.
% 6.42/1.33 % (3623099)Refutation found. Thanks to Tanya!
% 6.42/1.33 % SZS status Theorem for theBenchmark
% 6.42/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 6.42/1.33 % (3623099)------------------------------
% 6.42/1.33 % (3623099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.33 % (3623099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.33 % (3623099)CaDiCaL version: 2.1.3
% 6.42/1.33 % (3623099)Termination reason: Refutation
% 6.42/1.33 % (3623099)Time elapsed: 0.929 s
% 6.42/1.33 % (3623099)Peak memory usage: 23 MB
% 6.42/1.33 % (3623099)Instructions burned: 1252 (million)
% 6.42/1.33 % (3623093)Success in time 1.089 s
% 6.42/1.33 % Vampire exiting
%------------------------------------------------------------------------------