%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW235+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:29:54 PM UTC 2026
% Result : Theorem 5.38s 1.59s
% Output : Refutation 6.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 36 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 8 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,axiom,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__vector(X2)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)),c_RealVector_Onorm__class_Onorm(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__diff__ineq) ).
fof(f49,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Polynomial_OpCons(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__pCons) ).
fof(f227,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f1170,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1178,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1179,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1259,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1260,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
inference(negated_conjecture,[status(cth)],[f1259]) ).
fof(f1261,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
inference(flattening,[],[f1260]) ).
fof(f1433,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_OpCons(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f49]) ).
fof(f1467,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)),c_RealVector_Onorm__class_Onorm(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f1713,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f227]) ).
fof(f2124,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_aa____,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____))),v_z____))),
inference(cnf_transformation,[],[f1261]) ).
fof(f2396,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1179]) ).
fof(f2397,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1178]) ).
fof(f2398,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1170]) ).
fof(f2414,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_OpCons(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1433]) ).
fof(f2465,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)),c_RealVector_Onorm__class_Onorm(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(cnf_transformation,[],[f1467]) ).
fof(f2871,plain,
! [X2,X0,X1] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f1713]) ).
fof(f3368,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____)))))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2124,f2414]) ).
fof(f3369,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))))),
inference(forward_subsumption_resolution,[],[f3368,f2396]) ).
fof(f3423,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____)),v_aa____)))
| ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(superposition,[],[f3369,f2871]) ).
fof(f3424,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),v_z____)),v_aa____))),
inference(forward_subsumption_resolution,[],[f3423,f2397]) ).
fof(f3962,plain,
~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(resolution,[],[f3424,f2465]) ).
fof(f3967,plain,
$false,
inference(forward_subsumption_resolution,[],[f3962,f2398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW235+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 13:21:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 5.38/1.59 % (355536)Detected formulas, will run a generic FOF schedule.
% 5.38/1.59 % (355542)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=28490981:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.38/1.59 % (355543)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2269939567:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.38/1.59 % (355544)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=360396751:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.38/1.59 % (355548)dis-21_1_sil=8000:lcm=predicate:random_seed=3480584778:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.38/1.59 % (355546)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1641747217:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.38/1.59 % (355545)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1791110402:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.38/1.59 % (355547)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2087335958:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.38/1.59 % (355548)Instruction limit reached!
% 5.38/1.59 % (355548)------------------------------
% 5.38/1.59 % (355548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355548)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355548)Termination reason: Instruction limit
% 5.38/1.59 % (355548)Termination phase: Saturation
% 5.38/1.59 % (355548)Time elapsed: 0.062 s
% 5.38/1.59 % (355548)Peak memory usage: 90 MB
% 5.38/1.59 % (355548)Instructions burned: 130 (million)
% 5.38/1.59 % (355545)Instruction limit reached!
% 5.38/1.59 % (355545)------------------------------
% 5.38/1.59 % (355545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355545)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355545)Termination reason: Instruction limit
% 5.38/1.59 % (355545)Termination phase: Saturation
% 5.38/1.59 % (355545)Time elapsed: 0.062 s
% 5.38/1.59 % (355545)Peak memory usage: 89 MB
% 5.38/1.59 % (355545)Instructions burned: 110 (million)
% 5.38/1.59 % (355546)Instruction limit reached!
% 5.38/1.59 % (355546)------------------------------
% 5.38/1.59 % (355546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355546)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355546)Termination reason: Instruction limit
% 5.38/1.59 % (355546)Termination phase: Saturation
% 5.38/1.59 % (355546)Time elapsed: 0.066 s
% 5.38/1.59 % (355546)Peak memory usage: 89 MB
% 5.38/1.59 % (355546)Instructions burned: 120 (million)
% 5.38/1.59 % (355547)Instruction limit reached!
% 5.38/1.59 % (355547)------------------------------
% 5.38/1.59 % (355547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355547)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355547)Termination reason: Instruction limit
% 5.38/1.59 % (355547)Termination phase: Saturation
% 5.38/1.59 % (355547)Time elapsed: 0.077 s
% 5.38/1.59 % (355547)Peak memory usage: 90 MB
% 5.38/1.59 % (355547)Instructions burned: 140 (million)
% 5.38/1.59 % (355558)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1427661886:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.38/1.59 % (355557)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3753558623:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.38/1.59 % (355556)lrs+10_1_sil=8000:sp=occurrence:random_seed=2092365096:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.38/1.59 % (355559)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3188283956:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.38/1.59 % (355557)Instruction limit reached!
% 5.38/1.59 % (355557)------------------------------
% 5.38/1.59 % (355557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355557)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355557)Termination reason: Instruction limit
% 5.38/1.59 % (355557)Termination phase: Saturation
% 5.38/1.59 % (355557)Time elapsed: 0.088 s
% 5.38/1.59 % (355557)Peak memory usage: 90 MB
% 5.38/1.59 % (355557)Instructions burned: 157 (million)
% 5.38/1.59 % (355559)Instruction limit reached!
% 5.38/1.59 % (355559)------------------------------
% 5.38/1.59 % (355559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355559)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355559)Termination reason: Instruction limit
% 5.38/1.59 % (355559)Termination phase: Saturation
% 5.38/1.59 % (355559)Time elapsed: 0.141 s
% 5.38/1.59 % (355559)Peak memory usage: 92 MB
% 5.38/1.59 % (355559)Instructions burned: 248 (million)
% 5.38/1.59 % (355556)Instruction limit reached!
% 5.38/1.59 % (355556)------------------------------
% 5.38/1.59 % (355556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355556)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355556)Termination reason: Instruction limit
% 5.38/1.59 % (355556)Termination phase: Saturation
% 5.38/1.59 % (355556)Time elapsed: 0.180 s
% 5.38/1.59 % (355556)Peak memory usage: 92 MB
% 5.38/1.59 % (355556)Instructions burned: 285 (million)
% 5.38/1.59 % (355558)Instruction limit reached!
% 5.38/1.59 % (355558)------------------------------
% 5.38/1.59 % (355558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355558)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355558)Termination reason: Instruction limit
% 5.38/1.59 % (355558)Termination phase: Saturation
% 5.38/1.59 % (355558)Time elapsed: 0.206 s
% 5.38/1.59 % (355558)Peak memory usage: 92 MB
% 5.38/1.59 % (355558)Instructions burned: 326 (million)
% 5.38/1.59 % (355564)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=655171986:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.38/1.59 % (355565)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2505130098:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.38/1.59 % (355564)First to succeed.
% 5.38/1.59 % (355564)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-355536"
% 5.38/1.59 % (355566)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3932328141:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.38/1.59 % (355567)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=407077902:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.38/1.59 % (355566)Instruction limit reached!
% 5.38/1.59 % (355566)------------------------------
% 5.38/1.59 % (355566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355566)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355566)Termination reason: Instruction limit
% 5.38/1.59 % (355566)Termination phase: Saturation
% 5.38/1.59 % (355566)Time elapsed: 0.057 s
% 5.38/1.59 % (355566)Peak memory usage: 90 MB
% 5.38/1.59 % (355566)Instructions burned: 113 (million)
% 5.38/1.59 % (355567)Instruction limit reached!
% 5.38/1.59 % (355567)------------------------------
% 5.38/1.59 % (355567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.59 % (355567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.59 % (355567)CaDiCaL version: 2.1.3
% 5.38/1.59 % (355567)Termination reason: Instruction limit
% 5.38/1.59 % (355567)Termination phase: Saturation
% 5.38/1.59 % (355567)Time elapsed: 0.060 s
% 5.38/1.59 % (355567)Peak memory usage: 90 MB
% 5.38/1.59 % (355567)Instructions burned: 128 (million)
% 5.38/1.59 % (355572)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1128412749:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.38/1.59 % (355564)Refutation found. Thanks to Tanya!
% 5.38/1.59 % SZS status Theorem for theBenchmark
% 5.38/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 6.90/1.78 % (355564)------------------------------
% 6.90/1.78 % (355564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.78 % (355564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.78 % (355564)CaDiCaL version: 2.1.3
% 6.90/1.78 % (355564)Termination reason: Refutation
% 6.90/1.78 % (355564)Time elapsed: 0.065 s
% 6.90/1.78 % (355564)Peak memory usage: 91 MB
% 6.90/1.78 % (355564)Instructions burned: 116 (million)
% 6.90/1.78 % (355564)------------------------------
% 6.90/1.78 % (355564)------------------------------
% 6.90/1.78 % (355536)Success in time 0.944 s
% 6.90/1.78 % Vampire exiting
%------------------------------------------------------------------------------